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Cipl MJB 1+055.734 DGN 001

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NH-107 TO NH-07

CONSTRUCTION OF RUDRAPRAYAG TUNNEL OF LENGTH 900.30M INCLUDING


APPROACHES WITH 200M LENGTH MAJOR BRIDGE ON ALAKNANDA RIVER CONNECTING
NH-107 (OLD NH-109) TO NH-07 (OLD NH-58) ON EPC MODE IN THE STATE OF
UTTRAKHAND

CLIENT Public Works Department, Uttrakhand

AUTHORITY
NH Public Works Department Uttrakhand
ENGINEER

PROOF
HighRaise Construction and Consultant Private Limited
CONSULTANT

EPC
M/s Bharat-Doon Infra (JV),9 PPCL Colony, Uday Vihar,
CONTRACTOR
Haridwar bypass, Dehradun
DESIGN
M/s. Civil Mantra Infracon Private Limited
CONSULTANT

SUBSTRUCTURE AND FOUNDATION DESIGN OF P1


AND P2 OF MAJOR BIRDGE ON ALAKNANDA RIVER
DOCUMENT NO. CIPL-MJB-1+055.734-DGN-001
23 April 2023
Revision - R2
Designed by Shubham Garg
Checked by Nithil Malguri
Approved by Sumit Magotra
NH-107 TO NH-07
CONSTRUCTION OF RUDRAPRAYAG TUNNEL OF LENGTH 900.30M
INCLUDING APPROACHES WITH 200M LENGTH MAJOR BRIDGE ON
ALAKNANDA RIVER CONNECTING NH-107 (OLD NH-109) TO NH-07
(OLD NH-58) ON EPC MODE IN THE STATE OF UTTRAKHAND

SUBSTRUCTURE AND FOUNDATION DESIGN OF P1


AND P2 OF MAJOR BIRDGE ON ALAKNANDA RIVER
DOCUMENT NO. CIPL-MJB-1+055.734-DGN-001

Revision Schedule

23-Apr-23 2 P2 Foundation Size Revised


13-Apr-23 1 P1 Founding Level Revised
21-Feb-23 0 First Submission for Approval
Date Revision Description
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 50+100+50
200m length major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH- Document No. CIPL-MJB-1+055.734-DGN-001
07 (old NH-58) on EPC mode in the State of Uttrakhand Designed by Gaurav Singh
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nilesh Thaker

TABLE OF CONTENTS

1 INTRODUCTION

2 SCOPE OF THIS DOCUMENT

3 DESIGN CRITERIA

4 MATERIAL PROPERTIES

5 BRIDGE LEVEL DETAILS

6 BRIDGE SUPERSTRUCTURE DETAILS

7 LOADS APPLIED

9 LOAD COMBINATIONS USED IN DESIGN FOR PIER DESIGN

11 SUMMARY OF FORCES AT PIER TOP AND BOTTOM FOR RESPONSE REDUCTION FACTOR AS PER IRC SP 114

12 SUMMARY OF FORCES AT PIER TOP AND BOTTOM FOR RESPONSE REDUCTION FACTOR OF 1

13 DESIGN OF P1, PIER TOP

14 DESIGN OF P1, PIER BOTTOM

15 DESIGN OF P2, PIER TOP

16 DESIGN OF P2, PIER BOTTOM

17 SUMMARY OF FORCES AT BOTTOM OF FOUNDATION FOR DESIGN OF FOUNDATIONS

18 DESIGN OF FOUNDATION RAFT OF P1

19 DESIGN OF FOUNDATION RAFT OF P2

_____________________________________________________________________________________________________________________
3 CIPL-MJB-1+055.734-DGN-001
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 50+100+50
200m length major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH- Document No. CIPL-MJB-1+055.734-DGN-001
07 (old NH-58) on EPC mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

3 DESIGN CRITERIA
The design of the Substructure and Foundation is done for the Following Limit States:
1. Serviceability Limit State:
The Substructure and Foundation is checked for the Maximum Stresses in SLS Rare and SLS Frequent Combinations.
2. Ulitmate Limit State:
The Substructure and Foundation is Checked for ULS Flexure and Shear for ULS Combinations.
3. Geotechnical Design:
The Geotechnical Design of the Pile Foundation shall Comply with

1. Ultimate Limit States


The Following Limit States are checked:
ULS Flexure
The ULS Flexure Checks are done as per the recommendations of IRC 112.
The Piers and Piles have co existant Axial Force and Bending Moments and, thus, the same ULS Flexure check shall be done using
PM Interaction Diagram.
ULS Shear
The ULS Shear Checks are done as per the recommendations of IRC 112.

2. Serviceability Limit States


The following Serviceability Limit States are checked:
SLS Rare
The SLS Rare Combinations shall be used to check the Maximum Compression Stress in the Concrete and the Maximum
Tension Stress in the Reinforcement.
SLS Quasi Permanent
The SLS Quasi Combinations shall be used to check the Maximum Compression Stress in the Concrete and the Maximum
Tension Stress in the Reinforcement.
This combination shall also be used to check the Maximum Crack Width in the Members.
Maximum Crack Width is Limited to 0.3 mm

3. Geotechjnical Design
The Geotechnical Design viz. checking of Maximum Pile Reactions in Normal, Wind and Seismic cases shall be done as per
the Load Combinations given in IRC 78.

___________________________________________________________________________________________________________________
4
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 50+100+50
200m length major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH- Document No. CIPL-MJB-1+055.734-DGN-001
07 (old NH-58) on EPC mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

1 INTRODUCTION
The Bridge is across river Alaknanda and has a central span of 100 m. The bridge is constructed using balanced cantilever
approach.

2 SCOPE OF THIS DOCUMENT


This document contains the design of Subtstructure and Foundation of P1 and P2.

IMPORTANT NOTE:
As suggested by the Geotechnical Engineer and Geologist, Strata at the Founding Level is Non Scourable and
hence, Scour is not considered in design.

______________________________________________________________________________________________________________________
5 CIPL-MJB-1+055.734-DGN-001
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

4 MATERIAL PROPERTIES
Box Girder
2
Concrete Grade Fck = 50 N/mm
2
Fct,eff fct,eff = 2.5 N/mm
2
Young's Modulus E = 35000 N/mm
3
Density γ = 2.5 t/m
Thermal Coefficient α = 0.000012 /C

Concrete Pier Cap


2
Concrete Grade Fck = 45 N/mm
2
Fct,eff fct,eff = 2.3 N/mm
2
Young's Modulus E = 34000 N/mm
3
Density γ = 2.5 t/m
Thermal Coefficient α = 0.000012 /C

Concrete Pier
2
Concrete Grade Fck = 50 N/mm
2
Fct,eff fct,eff = 2.5 N/mm
2
Young's Modulus E = 35000 N/mm
3
Density γ = 2.5 t/m
Thermal Coefficient α = 0.000012 /C

Open Foundation
2
Concrete Grade Fck = 45 N/mm
2
Fct,eff fct,eff = 2.3 N/mm
2
Young's Modulus E = 34000 N/mm
3
Density γ = 2.5 t/m
Thermal Coefficient α = 0.000012 /C

Reinforcement Steel
2
Reinforcement Grade Fy = 500 N/mm
2
Young's Modulus E = 200000 N/mm
3
Density γ = 7.85 t/m

5 BRIDGE LEVEL DETAILS


P1
FRL = 685.198 m
Ground Level = 635 m
Foundation Level = 630 m
Depth of Foundation Slab = 4 m
P2
FRL = 685.198 m
Ground Level = 635 m
Foundation Level = 611.5 m
Depth of Foundation Slab = 4 m

6 BRIDGE SUPERSTRUCTURE DETAILS


Deck Depth = 6.25 m

Total Depth of Superstructure = 6.25 m


Crash Barrier Depth = 1m

___________________________________________________________________________________________________________________
6
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

7 LOADS APPLIED
7.1 DEAD LOADS
The Dead Load of the Structure is obtained from the analysis model by modeling the accurate geometry of the structure.
Soil Back Filling Weight on Foundation

7.2 SIDL
Crash Barrier Load is applied as .9 t/m on either edge.
Wearing Course Load is applied as 200 kg per sq m.
7.3 LIVE LOADS
The number of design lanes on the bridge is based on the clear width available between the crash barriers on
the either side. The footpath and cycle track are also considered as carriageway for live loads.

Minimum Clear Width between the Crash Barriers is taken for the determination of the number of the lanes.
Width available = 10.0 m
The following live load configurations are considered as per Table 6A of IRC 6 for 3 Lane Bridges
1. 3 Lanes of Class A
2. 1 Lane of Class 70R + 1 Lane of Class A

SV Loading is also considered for design.

___________________________________________________________________________________________________________________
7
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

The following load cases are defined to obtain the worst design effects on the girders.
1. 3 Lanes of Class A

2. 1 Lane of Class A & 1 Lane of Class 70R

3. SV Loading

For the Design of Substructure and Foundation, the Following categories of Live Load are Envisaged
Load Case Effect of Acceleration/Braking
Case 1 Max. Axial Load and Corresponding ML and MT LL-Pmax Considered
Class A &
Case 2 Max. ML and Corresponding Axial Load and MT LL-Max. ML Considered
70R Cases
Case 3 Max. MT and Corresponding Axial Load and ML LL-Max. MT Considered
LL-
Case 4 Live Load with Congestion Factor Not Considered
Congestion
SV Loading
LL-SV
Case 5 SV Loading Not Considered
Loading
These cases are obtained from the analaysis model itself.

___________________________________________________________________________________________________________________
8
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

CALCULATION OF BRAKING FORCES


The braking forces are calculated for Class 70R and Class A. The braking forces are computed for the worst combination
and are conservatively applied to all load cases except load cases with SV Loading.
Acceleration & Class A Class A +
Units 70R only
Braking Loads only 70R
Acc./Braking Loads for Class A
Weight of one Vehicle t 55.4 55.4 55.4
Bridge Length m 200.0 200.0 200.0
Vehicle Length m 20.30 20.30 20.30
Min. Distance b/w
18.50 18.50 18.50
Vehicle m
No. of Vehicles on
Nos 5.15 5.15 5.15 Effect of Partial Vehicle is also considered
Bridge
No. of Lanes Nos 3 1 1
Acc/Braking Force t 48.38 14.28 34.10
Acc./Braking Loads for Class 70R
Weight of one Vehicle t 100 100 100
Bridge Length m 200.0 200.0 200.0
Vehicle Length m 14.9 14.9 14.9
Min. Distance b/w
m 30 30 30
Vehicle
No. of Vehicles on
Nos 4.45 4.45 4.45
Bridge
No. of Lanes Nos 0 1 1
Acc/Braking Force t 0 55 55
Total Acc/Braking
t 48.38 68.8 54.5
Force

The mentioned force will be applied on the entire length of the bridge and will be shared by all the piers based on the stiffness

CALCULATION OF CENTRIFUGAL FORCE


The centrifugal forces are computed for Class A and 70R as well as SV Loading.
The speed adopted for SV Loading is 5 kmph as per cl. 204.5.4 of IRC 6.
The centrifugal forces are computed for the maximum number of vehicles that can ply on one module.
The minimum plan radius of curvature is used for the computation of the centrifugal forces.
Class A +
Centrifugal Forces Units All Class A 70R only SV Loading
70R
Centrifugal Forces for Class A
Weight of one Vehicle t 55.4 55.4 55.4 55.4
Bridge Length m 200.0 200.0 200.0 200.0
Vehicle Length m 20.30 20.30 20.30 20.30
Min. Distance b/w m 18.50 18.50 18.50 18.50
No. of Vehicles on
Nos 5 5 5 5
Bridge
No. of Lanes Nos 3 1 0 0
Plan Radius of
m 100000 100000 100000 100000
Curvature
Velocity kmph 80 80 80 80
Centrifugal Force t 0 0 0 0

___________________________________________________________________________________________________________________
9
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Centrifugal Forces for Class 70R


Weight of one Vehicle t 100 100 100 100
Bridge Length m 200.0 200.0 200.0 200.0
Vehicle Length m 14.9 14.9 14.9 14.9
Min. Distance b/w m 30 30 30 30
No. of Vehicles on
Nos 4 4 4 4
Bridge
No. of Lanes Nos 0 1 1 0
Plan Radius of m 100000 100000 100000 100000
Velocity kmph 80 80 80 80
Centrifugal Force t 0 0 0 0
Centrifugal Forces for SV Loading
Weight of one Vehicle t 100 100 100 385
Bridge Length m 200 200 200 200
Vehicle Length m 14.9 14.9 14.9 14.9
Min. Distance b/w
m 30 30 30 30
Vehicle
No. of Vehicles on
Nos 1 1 1 1
Bridge
No. of Lanes Nos 0 0 0 1
Plan Radius of
m 100000 100000 100000 100000
Curvature
Velocity kmph 80 80 80 5
Centrifugal Force t 0 0 0 0.0
Total Centrifugal
t 0 0 0 0
Forces

Thus, Adopted Centrifugral Force for all LL Cases with Class A and/or 70R is 0t
Adopted Centrifugal Force for SV Loading is 0t
Application of Centrigufal Force above FRL 1.2 m
The mentioned force will be applied on the entire length of the module and will be shared by all the piers. The distribution of the
centrifugal force shall be done based on the stiffness of the bearings at each pier location.

CONGESTION FACTOR
Mid Span Length 100 m
Effective Span From Points of Zero Bending Moment 80 m
Congestion Factor 1.7
Effect of Multiple Presence Factor for Number of Lanes 0.9
Factor For Impact Factor and Congestion Factor 1.53

7.4 GLOBAL TEMPERATURE CHANGES


The free thermal expansion and contraction will be restricted due to the integral piers, and, thus, the restrained forces will act on the system.
Calculation of Maximum Temperature Difference for Restrain Forces
From Chart
Location of Structure Rudraprayag
Max Air Shade Temperature = 47.4 C
Minimum Air Shade Temperature = -2.2 C
Mean of Maximum and Minimum Air Shade Temperature = 22.6 C
Increment as per Table 15 of IRC 6 2017 10.0 C
Delta T Max = 38.8 C
Delta T Min = -34.8 C

___________________________________________________________________________________________________________________
10
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

7.5 DIFFERENTIAL TEMPERATURE EFFECTS


The differential temperature is applied as per cl. 215.4 of IRC 6.

7.6 Effect of Creep and Shrinkage


Effect of Shrinkage Strain:
The Shrinkage Strain is composed of two components:
1. Autogenous Shrinkage Strain
2. Drying Shrinkage Strain

1. Autogenous Shrinkage Strain:


The major part of the Autogenous Shrinkage Strain develops during the hardening of the concrete in the early days after casting.
In this case, the girders will be cast in the casting yard and will be brought to the site after many days of casting.
Thus, the Autogenous Shrinkage Strain effect on Substructure Design will be Negligible.

2. Drying Shrinkage Strain:


The drying shrinkage strain develops slowly and is a function of the migration of water through the hardened concrete.
This will affect the design of the substructure and foundation as the shrinkage strain will lead to shear deformation in the bearing
which will result in longitudinal forces on the substructure and foundation.

Effect of Creep
The creep in the superstructure will lead to the shortening of the superstructure, thereby leading to shear strain in the bearing
which will lead to longitudinal forces.

The shrinkage and creep parameters are defined in the analysis model for obtaining the design forces.

___________________________________________________________________________________________________________________
11
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

7.7 WIND FORCES


The WIND FORCEs are applied as per cl. 209 of IRC 6 .
Parameters for Wind Force calculation

Depth of Crash Barrier DCB = 1m


Max Height of Structure from Ground Level = 48.30 m
Taken as Maximum for the Module, Height of Crash Barrier is included
Basic Wind Speed Vb = 39.0 m/s
Hourly Mean Wind Speed = 33 m/s
(As per Table 12 of IRC 6)
2
Wind Pressure = 653 N/m
(As per Table 12 of IRC 6)
Basic Wind Speed as per Table 12 = 33 m/s
As per IRC 6 2017 cl. 209.3.7, the live load is not considered to act on the bridge if the speed of wind exceeds 36 m/s.
Hence, WIND FORCEs are computed for two cases i.e. without live load and with live load.

7.7.1 WIND FORCES WITHOUT LIVE LOAD


2
Hourly Wind Pressure at Location (Without Live Load) = 912.51 N/m

TRANSVERSE WIND FORCE ON SUPERSTRUCTURE (WITHOUT LIVE LOAD)


Wind Pressure Calculation at Pier Table Location Units
Width m 12
Depth of Superstructure at Pier Table Location m 6.25
Height of Crash Barrier m 1.1
Width/Depth - 1.63
CD - 1.500
Gust Factor - 2
Depth of Span including Crash Barrier m 7.3
Pz N/m2 913
Applicable Pressure on Deck N/m2 2737.53

Wind Pressure Calculation at Mid Span Loation Units


Width m 12
Depth of Superstructure at Pier Table Location m 3
Height of Crash Barrier m 1.1
Width/Depth - 2.93
CD - 1.454
Gust Factor - 2
Depth of Span including Crash Barrier m 4.0
Pz N/m2 913
Applicable Pressure on Deck N/m2 2652.95

WIND LOAD ON PIERS


Item Units Pier A
Pressure N/m2 912.5
CD 2.2
Gust Factor 2.0
Wind Pressure on Pier N/m2 4015.04

As per Note 4 of cl. 204.4 of IRC 6, after construction of the Superstructure, the C D shall be determined for Height to Breadth Ratio of 40

___________________________________________________________________________________________________________________
12
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

7.7.2 WIND FORCES WITH LIVE LOAD


As per cl. 209.3.7 of IRC 6, the bridge shall not be cosndiered to be carrying any live load when the wind speed at deck
level exceeds 36 m/s.
Thus, the maximum wind speed is restricted to 36 m/s for the calculation of wind forces with live load.
However, in this condition, the exposed area of the vehicle shall also be considered for the calculation of the wind forces.

Max Height of Structure from Ground Level = 48.300 m


Taken as Maximum for the Entire Module including Height of Crash Barrier
Height of Live Load above Road Surface = 3m
As per cl. 209.3.6 of IRC 6
Exposed Height of Live Load = 2m
Excluding Crash Barrier Already accounted for
Total height incl. Live Load = 50.300 m
Basic Wind Speed = 36 m/s
Hourly Mean Wind Speed = 33.12 m/s
(As per Table 12 of IRC 6)
2
Wind Pressure = 659.71 N/m
(As per Table 12 of IRC 6)
Basic Wind Speed as per Table 12 = 33 m/s
2
Hourly Wind Pressure at Location (LIVE LOAD CONDITION) = 785.11 N/m
=
TRANSVERSE WIND FORCE ON SUPERSTRUCTURE (WITH LIVE LOAD)
Wind Pressure Calculation at Pier Table Location
Item Units
Width m 12
Depth of Superstructure m 6.25
Excluding Crash Barrier
Width/Depth - 1.92
CD - 1.500
Gust Factor - 2
Depth of Span including Crash Barrier m2 7.25
Pz N/m2 785
Pressure to be Applied N/m2 2355.34

Wind Pressure Calculation at Mid Span Location


Item Units
Width m 12
Depth of Superstructure m 3
Excluding Crash Barrier
Width/Depth - 4.00
CD - 1.400
Gust Factor - 2
Depth of Span including Crash Barrier m 4.0
Pz N/m2 785
Pressure to be Applied N/m2 2198.32

TRANSVERSE WIND FORCE ON LIVE LOAD


Item Units

LL Height m 2
Excluding Crash Barrier

CD - 1.200
Gust Factor - 2
LL Height m 2.0
Pz N/m2 785
Force per Unit Length t/m 0.38

WIND LOAD ON PIERS WITH LIVE LOAD CONDITION


Item Units Pier A
Pressure N/m2 785.1
CD 2.2
Gust Factor 2.0
Pressure to be Applied N/m2 3454.50

As per Note 4 of cl. 204.4 of IRC 6, after construction of the Superstructure, the C D shall be determined for Height to Breadth Ratio of 40

___________________________________________________________________________________________________________________
13
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

7.8 WATER CURRENT FORCES


Water Current Forces are applied upto the HFL on the Piers in the Water Channel.
WATER CURRENT FORCES ON PIER
The water current forces are computed as per cl. 210 of IRC 6
Water Pressure Calculation at HFL
Water Current Pressure P = 52 x K x V2
Maximum Mean Velocity V = 5.0 m/s
Maximum Velocity V = 7.1 m/s
Constant K K = 1.5 Square
Constant K K = 0.66 Circular
Water Pressure at Top Level P = 3900 kg per sq m
Water Pressure at Top Level P = 3.9 t per sq m
Water pressure at 20 Deg = 3.67 t per sq m
Water Pressure at 70 Deg = 1.34 t per sq m

Water Pressure Calculation at Bottom of Pier i.e. Top of Foundation


Water Current Pressure P = 52 x K x V2
Maximum Mean Velocity V = 3.0 m/s
Maximum Velocity V = 4.2 m/s
Constant K K = 1.5 Square
Constant K K = 0.66 Circular
Water Pressure at Top Level P = 1404 kg per sq m
Water Pressure at Top Level P = 1.404 t per sq m
Water pressure at 20 Deg 1.32 t per sq m
Water Pressure at 70 Deg 0.48 t per sq m

7.9 BARGE IMPACT FORCES


Barge Impact Forces are not envisaged on the structure.

7.10 SEISMIC FORCES


The seismic Forces are calculated as per IRC SP 114 : 2018.
The seismic forces are calculated for Response Reduction Factor 1. Appropriate Response Redction Factors are applied during design of individual components.
Zone Z = V
Zone Factor z = 0.36
Importance Factor I = 1.5
Response Reduction Factor Transverse Rtrans = 1.0
Response Reduction Factor Longitudinal Rlong = 1.0
Type of Soil Soil = Rocky/Hard
Response Spectrum Method of Analysis is used.

___________________________________________________________________________________________________________________
14
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

8 DETAILS OF SUBSTRUCTURE AND FOUNDATION


SUBSTRUCTURE DETAILS - PIER
The design of pier is done at the following locations:
S.No. Location Element No.
1 P1, Pier Top 1002
2 P1, Pier Bottom 1014
3 P2, Pier Top 2002
4 P2, Pier Bottom 2014

Pier No. P1 P1 P2 P2
Pier Type Hollow Hollow Hollow Hollow
Location Pier Top Pier Bottom Pier Top Pier Bottom
Width m 5.25 5.25 5.25 5.25
Length m 4.5 4.5 4.5 4.5
Center to Center Distance m NA NA NA NA
Number of Piers 1 1 1 1
Area of Pier m2 15.75 15.75 15.75 15.75
FRL to Foundation Top m 51.20 51.20 51.20 51.20
Structure Depth 6.25 6.25 6.25 6.25
Clear Height of Pier m 44.95 44.95 44.95 44.95
Clear Cover to Outermost Bar mm 50 50 50 50
Height of Pier m 45 45 63 63
Distance Between Braces m 44.9 44.9 63.4 63.4
Reinforcement Area mm2 363825 363825 363825 363825
Effective Clear Cover c 98 98 98 98
Maximum Bar Dia Used mm 32 32 32 32
Reinforcement Max Spacing mm 150.00 150.00 150.00 150.00

ULS FLEXURE AND SHEAR CHECK SUMMARY


Max. Utilization Ratio % 71 84 85 92
SLS CHECKS SUMMARY
SLS Rare Stress - Concrete N/mm2 0.00 0.00 0.00 0.00
2
SLS Rare Stress - Steel N/mm 0 0 0 0
SLS QP - Crack Width mm 0.00 0.00 0.00 0.00
MoI (Long) m4 38.77 38.77 38.77 38.77
4
MoI (Trans) m 47.20 47.20 47.20 47.20
2
Young's Modulus N / mm 35000 35000 35000 35000
Clear Pier Height m 44.948 44.948 44.948 44.948

___________________________________________________________________________________________________________________
15
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

OPEN FOUNDATION DETAILS


P1 P2
FOUNDATION PARAMETERS Units P1 P2
Open Foundation Length m 16.5 16.5
Open Foundation Width m 16.5 16.5
Open Foundation Depth at Pier m 4 4
Open Foundation Depth at Edge m 2.25 2.25
Eccentricity Between Open Fdn. m 0 0
Eccentricity Between Open Fdn. m 0 0
Length of Open Foundation m 16.5 16.5
Width of Open Foundation m 16.5 16.5
Depth at Bottom m 2.25 2.25
Weight of Bottom Part t 1531 1531
CG of Bottom Part from Bottom of
m 1.125 1.125
Foundation
Straight Length at Top m 7.500 7.500
Trapezoidal Area at Top m2 56.25 56.25
Trapezoidal Area at Bottom m2 272.3 272.3
Depth of Trapezoidal Part m 1.75 1.75
Weight of Trapezoildal Part t 719 719
CG of Trapezoidal Part from m 2.933 2.933
CG of Foundation m 1.703 1.703
Total Weight of Foundation t 2250 2250
Fill Depth over Fdn. m 1.500 1.500
LL Surcharge Depth over Fdn. t/m2 0 0
Note: Foundation is Combined for Two Structures

___________________________________________________________________________________________________________________
16
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

9 LOAD COMBINATIONS USED IN DESIGN FOR PIER DESIGN


ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
1 2 3 4 5 6 7 8 9 10 11 12
Units
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 1.5 0 0 0 0 1.5 1.5 0 0 0 0 1.5
6 LL-Max. ML 0 1.5 0 0 0 0 0 1.5 0 0 0 0
7 LL-Max. MT 0 0 1.5 0 0 0 0 0 1.5 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


Live Load Leading and Thermal Accompanying
8 LL-Congestion 0 0 0 1.5 0 0 0 0 0 1.15 0 0
9 LL-SV Loading 0 0 0 0 1.15 0 0 0 0 0 1.15 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

ULS COMBINATIONS

___________________________________________________________________________________________________________________
17
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 13 14 15 16 17 18 19 20 21 22 23 24
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 1.15 0 0 0 0 1.15 1.15 0 0 0 0 1.15
6 LL-Max. ML 0 1.15 0 0 0 0 0 1.15 0 0 0 0
7 LL-Max. MT 0 0 1.15 0 0 0 0 0 1.15 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


Live Load Accompanying and Thermal Leading
8 LL-Congestion 0 0 0 1.15 0 0 0 0 0 1.15 0 0
9 LL-SV Loading 0 0 0 0 1.15 0 0 0 0 0 1.15 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
18
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 25 26 27 28 29 30 31 32 33 34 35 36
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 1.5 0 0 0 0 1.15 1.5 0 0 0 0 1.15
6 LL-Max. ML 0 1.5 0 0 0 0 0 1.5 0 0 0 0
7 LL-Max. MT 0 0 1.5 0 0 0 0 0 1.5 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 1.15 0 0 0 0 0 1.15 0 0

Live Load Leading and Wind Accompanying


9 LL-SV Loading 0 0 0 0 1.15 0 0 0 0 0 1.15 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
16 Transverse (With LL)
Wind Forces
0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
17 Longitudinal (With LL)
Wind Forces Vertical
0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
19
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 37 38 39 40 41 42 43 44 45 46 47 48
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 1.15 0 0 0 0 1.15 1.15 0 0 0 0 1.15
6 LL-Max. ML 0 1.15 0 0 0 0 0 1.15 0 0 0 0
7 LL-Max. MT 0 0 1.15 0 0 0 0 0 1.15 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 1.15 0 0 0 0 0 1.15 0 0

Live Load Accompanying and Wind Leading


9 LL-SV Loading 0 0 0 0 1.15 0 0 0 0 0 1.15 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
16 Transverse (With LL)
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
17 Longitudinal (With LL)
Wind Forces Vertical
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
20
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 49 50 51 52 53 54 55 56 57 58 59 60
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax
6 LL-Max. ML
7 LL-Max. MT

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion
9 LL-SV Loading
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0

Wind only No Live Load


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
13 Transverse (No LL)
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
14 Longitudinal (No LL)
Wind Forces Vertical
-1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
21
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 61 62 63 64 65 66 67 68 69 70 71 72
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
5 LL-Pmax 0 0 0 0 0 0 0 0 0 0 0 0
6 LL-Max. ML 0 0 0 0 0 0 0 0 0 0 0 0
7 LL-Max. MT 0 0 0 0 0 0 0 0 0 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 0 0 0 0 0 0 0 0 0
9 LL-SV Loading 0 0 0 0 0 0 0 0 0 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0

Wind only No Live Load


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
13 Transverse (No LL)
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
14 Longitudinal (No LL)
Wind Forces Vertical
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
22
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 73 74 75 76 77 78 79 80 81 82 83 84
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1

Earthquake Combinations EQ Longitudinal 100% : EQ Transvesre : 30% : EQ


3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0.2 0 0.2 0 0 0 0.2 0
6 LL-Max. ML 0 0.2 0 0 0 0 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0 0 0 0.2 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 0.2 0 0 0 0.2
9 LL-SV Loading 0 0 0 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
12 Buoyancy 1 1 1 1 1 1

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0

Vertical : 30%
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45
23 EQ Longitudinal 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
24 EQ Vertical 0.45 0.45 0.45 0.45 0.45 0.45 -0.45 -0.45 -0.45 -0.45 -0.45 -0.45

___________________________________________________________________________________________________________________
23
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 85 86 87 88 89 90 91 92 93 94 95 96
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1

Earthquake Combinations EQ Longitudinal 30% : EQ Transvesre : 100% : EQ


3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0 0.2 0.2 0 0 0 0 0.2
6 LL-Max. ML 0 0.2 0 0 0 0 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0 0 0 0.2 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 0.2 0 0 0 0.2
9 LL-SV Loading 0 0 0 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
12 Buoyancy 1 1 1 1 1 1 1 1 1 1 1 1

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0

Vertical : 30%
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
23 EQ Longitudinal 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45
24 EQ Vertical 0.45 0.45 0.45 0.45 0.45 0.45 -0.45 -0.45 -0.45 -0.45 -0.45 -0.45

___________________________________________________________________________________________________________________
24
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 97 98 99 100 101 102 103 104 105 106 107 108
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1

Earthquake Combinations EQ Longitudinal 30% : EQ Transvesre : 30% : EQ


3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0 0 0.2 0 0 0 0 0
6 LL-Max. ML 0 0.2 0 0 0 0 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0 0 0 0.2 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 0 0 0
9 LL-SV Loading 0 0 0 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
12 Buoyancy 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5

ULS COMBINATIONS
Wind Forces

Vertical : 100%
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45
23 EQ Longitudinal 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45 0.45
24 EQ Vertical 1.5 1.5 1.5 1.5 1.5 1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5

___________________________________________________________________________________________________________________
25
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 109 110 111 112 113 114
1 Dead Load 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1
3 SIDL Wearing Course 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0 0.2
6 LL-Max. ML 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0

Normal Combinations with Water Current Load


8 LL-Congestion 0 0 0 0.2 0 0
9 LL-SV Loading 0 0 0 0 0.2 0
10 Tendon Secondary 1 1 1 1 1 1

ULS COMBINATIONS ACCIDENTAL


11 Temperature 0.5 0.5 0.5 0.5 0.5
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0

___________________________________________________________________________________________________________________
26
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 1 Comb 2 Comb 3 Comb 4 Comb 5 Comb 6 Comb 7 Comb 8 Comb 9 Comb 10 Comb 11 Comb 12
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 1 0 0 0 0 1 1 0 0 0 0 1
6 LL-Max. ML 0 1 0 0 0 0 0 1 0 0 0 0
7 LL-Max. MT 0 0 1 0 0 0 0 0 1 0 0 0

Live Load Leading and Thermal Accompanying


8 LL-Congestion 0 0 0 1 0 0 0 0 0 1 0 0
9 LL-SV Loading 0 0 0 0 1 0 0 0 0 0 1 0

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6

SLS RARE COMBINATIONS


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
27
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 13 Comb 14 Comb 15 Comb 16 Comb 17 Comb 18 Comb 19 Comb 20 Comb 21 Comb 22 Comb 23 Comb 24
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 0.75 0 0 0 0 0 0.75 0 0 0 0 0
6 LL-Max. ML 0 0.75 0 0 0 0 0 0.75 0 0 0 0
7 LL-Max. MT 0 0 0.75 0 0 0 0 0 0.75 0 0 0

Live Load Accompanying and Thermal Leading


8 LL-Congestion 0 0 0 0.75 0 0 0 0 0 0.75 0 0
9 LL-SV Loading 0 0 0 0 0.75 0 0 0 0 0 0.75 0

Sufacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 1 1 1 1 1 1 1 1 1 1

SLS RARE COMBINATIONS


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 0 0 0 0 0 0 0 0 0 0 0 0
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
28
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 25 Comb 26 Comb 27 Comb 28 Comb 29 Comb 30 Comb 31 Comb 32 Comb 33 Comb 34 Comb 35 Comb 36
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 1 0 0 0 0 1 1 0 0 0 0 1
6 LL-Max. ML 0 1 0 0 0 0 0 1 0 0 0 0
7 LL-Max. MT 0 0 1 0 0 0 0 0 1 0 0 0
8 LL-Congestion 0 0 0 1 0 0 0 0 0 1 0 0

Live Load Leading and Wind Accompanying


9 LL-SV Loading 0 0 0 0 1 0 0 0 0 0 1 0

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0

SLS RARE COMBINATIONS


12 Buoyancy
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
16 Transverse (With LL)
Wind Forces
0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
17 Longitudinal (With LL)
Wind Forces Vertical
0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
29
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 37 Comb 38 Comb 39 Comb 40 Comb 41 Comb 42 Comb 43 Comb 44 Comb 45 Comb 46 Comb 47 Comb 48
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 0.75 0 0 0 0 0.75 0.75 0 0 0 0 0.75
6 LL-Max. ML 0 0.75 0 0 0 0 0 0.75 0 0 0 0
7 LL-Max. MT 0 0 0.75 0 0 0 0 0 0.75 0 0 0
8 LL-Congestion 0 0 0 0.75 0 0 0 0.75

Live Load Accompanying and Wind Leading


9 LL-SV Loading 0 0 0 0.75 0 0 0 0.75

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0

SLS RARE COMBINATIONS


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
1 1 1 1 1 1 1 1 1 1 1 1
16 Transverse (With LL)
Wind Forces
1 1 1 1 1 1 1 1 1 1 1 1
17 Longitudinal (With LL)
Wind Forces Vertical
1 1 1 1 1 1 1 1 1 1 1 1
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
30
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 49 Comb 50 Comb 51 Comb 52 Comb 53 Comb 54 Comb 55 Comb 56 Comb 57 Comb 58 Comb 59 Comb 60
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax
6 LL-Max. ML
7 LL-Max. MT
8 LL-Congestion
9 LL-SV Loading

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0

SLS RARE COMBINATIONS

Wind Without Live Load


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
1 1 1 1 1 1 1 1 1 1 1 1
13 Transverse (No LL)
Wind Forces
1 1 1 1 1 1 1 1 1 1 1 1
14 Longitudinal (No LL)
Wind Forces Vertical
1 1 1 1 1 1 1 1 1 1 1 1
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0

___________________________________________________________________________________________________________________
31
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS Quasi Permanent Combinations


Load Case SLS QP SLS QP
S.No. Description
Units Comb 1 Comb 2
1 Dead Load 1 1
2 SIDL Crash Barrier 1 1
3 SIDL Wearing Course 1.2 1.2
4 Soil Back Fill 1 1
5 LL-Pmax
6 LL-Max. ML
7 LL-Max. MT
8 LL-Congestion

SLS QUASI PERMANENT COMBINATIONS


9 LL-SV Loading

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1
11 Temperature 0.5 0.5

Wind Without Live Load


12 Buoyancy 0.15 0.15
Wind Forces
13 Transverse (No LL)
Wind Forces
14 Longitudinal (No LL)
Wind Forces Vertical
15 (No LL)
Wind Forces
0 0
16 Transverse (With LL)
Wind Forces
0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0
18 (With LL)
19 Creep Secondary 1 1
20 Shrinkage Secondary 1 1
21 Water Current
22 EQ Transverse 0 0
23 EQ Longitudinal 0 0
24 EQ Vertical 0 0

___________________________________________________________________________________________________________________
32
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

10 LOAD COMBINATIONS USED IN DESIGN FOR FOUNDATION DESIGN


ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
1 2 3 4 5 6 7 8 9 10 11 12
Units
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 1.5 0 0 0 0 1.5 1.5 0 0 0 0 1.5
6 LL-Max. ML 0 1.5 0 0 0 0 0 1.5 0 0 0 0
7 LL-Max. MT 0 0 1.5 0 0 0 0 0 1.5 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


Live Load Leading and Thermal Accompanying
8 LL-Congestion 0 0 0 1.5 0 0 0 0 0 1.15 0 0
9 LL-SV Loading 0 0 0 0 1.15 0 0 0 0 0 1.15 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.
ULS COMBINATIONS

___________________________________________________________________________________________________________________
33
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 13 14 15 16 17 18 19 20 21 22 23 24
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 1.15 0 0 0 0 1.15 1.15 0 0 0 0 1.15
6 LL-Max. ML 0 1.15 0 0 0 0 0 1.15 0 0 0 0
7 LL-Max. MT 0 0 1.15 0 0 0 0 0 1.15 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


Live Load Accompanying and Thermal Leading
8 LL-Congestion 0 0 0 1.15 0 0 0 0 0 1.15 0 0
9 LL-SV Loading 0 0 0 0 1.15 0 0 0 0 0 1.15 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
34
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 25 26 27 28 29 30 31 32 33 34 35 36
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 1.5 0 0 0 0 1.15 1.5 0 0 0 0 1.15
6 LL-Max. ML 0 1.5 0 0 0 0 0 1.5 0 0 0 0
7 LL-Max. MT 0 0 1.5 0 0 0 0 0 1.5 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 1.15 0 0 0 0 0 1.15 0 0

Live Load Leading and Wind Accompanying


9 LL-SV Loading 0 0 0 0 1.15 0 0 0 0 0 1.15 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
16 Transverse (With LL)
Wind Forces
0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
17 Longitudinal (With LL)
Wind Forces Vertical
0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
35
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 37 38 39 40 41 42 43 44 45 46 47 48
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 1.15 0 0 0 0 1.15 1.15 0 0 0 0 1.15
6 LL-Max. ML 0 1.15 0 0 0 0 0 1.15 0 0 0 0
7 LL-Max. MT 0 0 1.15 0 0 0 0 0 1.15 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 1.15 0 0 0 0 0 1.15 0 0

Live Load Accompanying and Wind Leading


9 LL-SV Loading 0 0 0 0 1.15 0 0 0 0 0 1.15 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
16 Transverse (With LL)
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
17 Longitudinal (With LL)
Wind Forces Vertical
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
36
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 49 50 51 52 53 54 55 56 57 58 59 60
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax
6 LL-Max. ML
7 LL-Max. MT

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion
9 LL-SV Loading
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0

Wind only No Live Load


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
13 Transverse (No LL)
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
14 Longitudinal (No LL)
Wind Forces Vertical
-1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
37
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 61 62 63 64 65 66 67 68 69 70 71 72
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
5 LL-Pmax 0 0 0 0 0 0 0 0 0 0 0 0
6 LL-Max. ML 0 0 0 0 0 0 0 0 0 0 0 0
7 LL-Max. MT 0 0 0 0 0 0 0 0 0 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 0 0 0 0 0 0 0 0 0
9 LL-SV Loading 0 0 0 0 0 0 0 0 0 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0

Wind only No Live Load


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15

ULS COMBINATIONS
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
13 Transverse (No LL)
Wind Forces
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
14 Longitudinal (No LL)
Wind Forces Vertical
1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
38
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 73 74 75 76 77 78 79 80 81 82 83 84
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1

Earthquake Combinations EQ Longitudinal 100% : EQ Transvesre : 30% : EQ


3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0.2 0 0.2 0 0 0 0.2 0
6 LL-Max. ML 0 0.2 0 0 0 0 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0 0 0 0.2 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 0.2 0 0 0 0.2
9 LL-SV Loading 0 0 0 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
12 Buoyancy 1 1 1 1 1 1

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0

Vertical : 30%
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse
23 EQ Longitudinal 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
24 EQ Vertical
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
39
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 85 86 87 88 89 90 91 92 93 94 95 96
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1

Earthquake Combinations EQ Longitudinal 30% : EQ Transvesre : 100% : EQ


3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0 0.2 0.2 0 0 0 0 0.2
6 LL-Max. ML 0 0.2 0 0 0 0 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0 0 0 0.2 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 0.2 0 0 0 0.2
9 LL-SV Loading 0 0 0 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
12 Buoyancy 1 1 1 1 1 1 1 1 1 1 1 1

ULS COMBINATIONS
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0

Vertical : 30%
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
23 EQ Longitudinal
24 EQ Vertical
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
40
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 97 98 99 100 101 102 103 104 105 106 107 108
1 Dead Load 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1

Earthquake Combinations EQ Longitudinal 30% : EQ Transvesre : 30% : EQ


3 SIDL Wearing Course 1.75 1.75 1.75 1.75 1.75 1 1 1 1 1 1 1
4 Soil Back Fill 1.35 1.35 1.35 1.35 1.35 1 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0 0 0.2 0 0 0 0 0
6 LL-Max. ML 0 0.2 0 0 0 0 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0 0 0 0.2 0 0 0

DL + SIDL Axial Load Adding and Relieving Effect


8 LL-Congestion 0 0 0 0 0 0
9 LL-SV Loading 0 0 0 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
12 Buoyancy 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5

ULS COMBINATIONS
Wind Forces

Vertical : 100%
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse
23 EQ Longitudinal
24 EQ Vertical 1.5 1.5 1.5 1.5 1.5 1.5 -1.5 -1.5 -1.5 -1.5 -1.5 -1.5
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
41
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

ULS COMBINATIONS
Load Case ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb ULS Comb
S.No. Description
Units 109 110 111 112 113 114
1 Dead Load 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1
3 SIDL Wearing Course 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0 0.2
6 LL-Max. ML 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0

Normal Combinations with Water Current Load


8 LL-Congestion 0 0 0 0.2 0 0
9 LL-SV Loading 0 0 0 0 0.2 0
10 Tendon Secondary 1 1 1 1 1 1

ULS COMBINATIONS ACCIDENTAL


11 Temperature 0.5 0.5 0.5 0.5 0.5
12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
42
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 1 Comb 2 Comb 3 Comb 4 Comb 5 Comb 6 Comb 7 Comb 8 Comb 9 Comb 10 Comb 11 Comb 12
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 1 0 0 0 0 1 1 0 0 0 0 1
6 LL-Max. ML 0 1 0 0 0 0 0 1 0 0 0 0
7 LL-Max. MT 0 0 1 0 0 0 0 0 1 0 0 0

Live Load Leading and Thermal Accompanying


8 LL-Congestion 0 0 0 1 0 0 0 0 0 1 0 0
9 LL-SV Loading 0 0 0 0 1 0 0 0 0 0 1 0

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6

SLS RARE COMBINATIONS


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
43
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 13 Comb 14 Comb 15 Comb 16 Comb 17 Comb 18 Comb 19 Comb 20 Comb 21 Comb 22 Comb 23 Comb 24
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 0.75 0 0 0 0 0 0.75 0 0 0 0 0
6 LL-Max. ML 0 0.75 0 0 0 0 0 0.75 0 0 0 0
7 LL-Max. MT 0 0 0.75 0 0 0 0 0 0.75 0 0 0

Live Load Accompanying and Thermal Leading


8 LL-Congestion 0 0 0 0.75 0 0 0 0 0 0.75 0 0
9 LL-SV Loading 0 0 0 0 0.75 0 0 0 0 0 0.75 0

Sufacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 1 1 1 1 1 1 1 1 1 1

SLS RARE COMBINATIONS


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 0 0 0 0 0 0 0 0 0 0 0 0
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
44
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 25 Comb 26 Comb 27 Comb 28 Comb 29 Comb 30 Comb 31 Comb 32 Comb 33 Comb 34 Comb 35 Comb 36
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 1 0 0 0 0 1 1 0 0 0 0 1
6 LL-Max. ML 0 1 0 0 0 0 0 1 0 0 0 0
7 LL-Max. MT 0 0 1 0 0 0 0 0 1 0 0 0
8 LL-Congestion 0 0 0 1 0 0 0 0 0 1 0 0

Live Load Leading and Wind Accompanying


9 LL-SV Loading 0 0 0 0 1 0 0 0 0 0 1 0

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0

SLS RARE COMBINATIONS


12 Buoyancy
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
16 Transverse (With LL)
Wind Forces
0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
17 Longitudinal (With LL)
Wind Forces Vertical
0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
45
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 37 Comb 38 Comb 39 Comb 40 Comb 41 Comb 42 Comb 43 Comb 44 Comb 45 Comb 46 Comb 47 Comb 48
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 0.75 0 0 0 0 0.75 0.75 0 0 0 0 0.75
6 LL-Max. ML 0 0.75 0 0 0 0 0 0.75 0 0 0 0
7 LL-Max. MT 0 0 0.75 0 0 0 0 0 0.75 0 0 0
8 LL-Congestion 0 0 0 0.75 0 0 0 0.75

Live Load Accompanying and Wind Leading


9 LL-SV Loading 0 0 0 0.75 0 0 0 0.75

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0

SLS RARE COMBINATIONS


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
13 Transverse (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
14 Longitudinal (No LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
15 (No LL)
Wind Forces
1 1 1 1 1 1 1 1 1 1 1 1
16 Transverse (With LL)
Wind Forces
1 1 1 1 1 1 1 1 1 1 1 1
17 Longitudinal (With LL)
Wind Forces Vertical
1 1 1 1 1 1 1 1 1 1 1 1
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
46
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS RARE COMBINATIONS


Load Case SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R SLS R
S.No. Description
Units Comb 49 Comb 50 Comb 51 Comb 52 Comb 53 Comb 54 Comb 55 Comb 56 Comb 57 Comb 58 Comb 59 Comb 60
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1.2 1.2 1.2 1.2 1.2 1.2 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax
6 LL-Max. ML
7 LL-Max. MT
8 LL-Congestion
9 LL-SV Loading

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 0 0 0 0 0 0 0 0 0 0 0 0

SLS RARE COMBINATIONS

Wind Without Live Load


12 Buoyancy 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
Wind Forces
1 1 1 1 1 1 1 1 1 1 1 1
13 Transverse (No LL)
Wind Forces
1 1 1 1 1 1 1 1 1 1 1 1
14 Longitudinal (No LL)
Wind Forces Vertical
1 1 1 1 1 1 1 1 1 1 1 1
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
47
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

SLS Quasi Permanent Combinations


Load Case SLS QP SLS QP
S.No. Description
Units Comb 1 Comb 2
1 Dead Load 1 1
2 SIDL Crash Barrier 1 1
3 SIDL Wearing Course 1.2 1.2
4 Soil Back Fill 1 1
5 LL-Pmax
6 LL-Max. ML
7 LL-Max. MT
8 LL-Congestion

SLS QUASI PERMANENT COMBINATIONS


9 LL-SV Loading

Surfacing Adding and Relieving Effect


10 Tendon Secondary 1 1
11 Temperature 0.5 0.5

Wind Without Live Load


12 Buoyancy 0.15 0.15
Wind Forces
13 Transverse (No LL)
Wind Forces
14 Longitudinal (No LL)
Wind Forces Vertical
15 (No LL)
Wind Forces
0 0
16 Transverse (With LL)
Wind Forces
0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0
18 (With LL)
19 Creep Secondary 1 1
20 Shrinkage Secondary 1 1
21 Water Current
22 EQ Transverse 0 0
23 EQ Longitudinal 0 0
24 EQ Vertical 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
48
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

WORKING COMBINATIONS FROM IRC 78


Load Case Comb I Comb I Comb I Comb I Comb I Comb I Comb II Comb II Comb II Comb II Comb II Comb II
S.No. Description
Units a b c d e f ia ib ic id ie if
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1 1 1 1 1 1 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 1 0 0 0 0 1 1 0 0 0 0 1
6 LL-Max. ML 0 1 0 0 0 0 0 1 0 0 0 0
7 LL-Max. MT 0 0 1 0 0 0 0 0 1 0 0 0
8 LL-Congestion 0 0 0 1 0 0 0 0 0 1 0 0
9 LL-SV Loading 0 0 0 0 1 0 0 0 0 0 1 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 1 1 1 1 1 1

WORKING COMBINATIONS
12 Buoyancy 1 1 1 1 1 1 1 1 1 1 1 1
Wind Forces
13 Transverse (No LL)
Wind Forces
14 Longitudinal (No LL)
Wind Forces Vertical
15 (No LL)
Wind Forces
0 0 0 0 0 0 1 1 1
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 1 1 1
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 1 1 1
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 0 0 0 0 0 0
24 EQ Vertical 0 0 0 0 0 0 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
49
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

WORKING COMBINATIONS FROM IRC 78


Load Case Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II
S.No. Description
Units ig ih ii ij ik il ii a ii b ii c ii d ii e ii f
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1 1 1 1 1 1 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0 0.2
6 LL-Max. ML 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0
8 LL-Congestion 0 0 0 0.2
9 LL-SV Loading 0 0 0
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 1 1 1 1 1 1 1 1 1 1 1 1

WORKING COMBINATIONS
12 Buoyancy 1 1 1 1 1 1 1 1 1 1
Wind Forces
1 1 1 1 1 1
13 Transverse (No LL)
Wind Forces
1 1 1 1 1 1
14 Longitudinal (No LL)
Wind Forces Vertical
1 1 1 1 1 1
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 0 0 0 0 0 0
23 EQ Longitudinal 0 0 0 0 0 0 1 1 1 1 1 1
24 EQ Vertical 0 0 0 0 0 0
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
50
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

WORKING COMBINATIONS FROM IRC 78


Load Case Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II Comb II
S.No. Description
Units ii g ii h ii i ii j ii k ii l ii m ii n ii o ii p ii q ii r
1 Dead Load 1 1 1 1 1 1 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1 1 1 1 1 1 1
3 SIDL Wearing Course 1 1 1 1 1 1 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1 1 1 1 1 1 1
5 LL-Pmax 0.2 0 0 0 0 0.2 0.2 0 0 0 0 0
6 LL-Max. ML 0 0.2 0 0 0 0 0 0.2 0 0 0 0
7 LL-Max. MT 0 0 0.2 0 0 0 0 0 0.2 0 0 0
8 LL-Congestion 0 0 0 0.2 0 0 0 0.2
9 LL-SV Loading 0 0 0 0 0 0 0.2
10 Tendon Secondary 1 1 1 1 1 1 1 1 1 1 1 1
11 Temperature 1 1 1 1 1 1 1 1 1 1

WORKING COMBINATIONS
12 Buoyancy 1 1 1 1 1 1 1 1 1 1 1 1
Wind Forces
13 Transverse (No LL)
Wind Forces
14 Longitudinal (No LL)
Wind Forces Vertical
15 (No LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0 0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0 0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1 1 1 1 1 1 1
22 EQ Transverse 1 1 1 1 1 1
23 EQ Longitudinal
24 EQ Vertical 1 1 1 1 1 1
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
51
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on Alaknanda river
Document CIPL-MJB-1+055.734-DGN-001
connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

WORKING COMBINATIONS FROM IRC 78


Load Case Comb II Comb II Comb II Comb II Comb II Comb II
S.No. Description
Units iii a iii b iii c iii d iii e iii f
1 Dead Load 1 1 1 1 1 1
2 SIDL Crash Barrier 1 1 1 1 1 1
3 SIDL Wearing Course 1 1 1 1 1 1
4 Soil Back Fill 1 1 1 1 1 1
5 LL-Pmax 1 0 0 0 0 1
6 LL-Max. ML 0 1 0 0 0 0
7 LL-Max. MT 0 0 1 0 0 0
8 LL-Congestion 0 0 0 1 0 0
9 LL-SV Loading 0 0 0 0 1 0
10 Tendon Secondary 1 1 1 1 1
11 Temperature 1 1 1 1 1

WORKING COMBINATIONS
12 Buoyancy 1 1 1 1 1
Wind Forces
13 Transverse (No LL)
Wind Forces
14 Longitudinal (No LL)
Wind Forces Vertical
15 (No LL)
Wind Forces
0 0 0 0 0 0
16 Transverse (With LL)
Wind Forces
0 0 0 0 0 0
17 Longitudinal (With LL)
Wind Forces Vertical
0 0 0 0 0 0
18 (With LL)
19 Creep Secondary 1 1 1 1 1 1
20 Shrinkage Secondary 1 1 1 1 1 1
21 Water Current 1 1 1 1 1 1
22 EQ Transverse
23 EQ Longitudinal
24 EQ Vertical
Note: As per cl. 7.3.4.3 of IRC SP 114, The capacity design effects should be calculated in the bridge separately for seismic action acting in each of the longitudinal and transverse directions.

___________________________________________________________________________________________________________________
52
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

11 SUMMARY OF FORCES AT PIER TOP AND BOTTOM FOR RESPONSE REDUCTION FACTOR AS PER IRC SP 114
The following is the Summary of Forces for the Design of Pier.
The following is the Summary of Forces for the Design of Foundation.
Response Reduction Factor in Model, Long, Direction 3
Response Reduction Factor in Model, Trans. Direction 3

Response Reduction Factor, Long. 3


Response Reduction Factor, Trans. 3
Amplification Required from Analysis Model, Long. Direction 1.000
Amplification Required from Analysis Model, Trans. Direction 1.000

Analysis Model Element Number


S.No. Location Element No.
1 P1, Pier Top 1002
2 P1, Pier Bottom 1014
3 P2, Pier Top 2002
4 P2, Pier Bottom 2014

1 Pier Location P1, Pier Top


P1, Pier Top
Analysis Model Element Number 1002
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR

Long. Trans. Long. Trans.


P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 3069 125 0 0 0 3069 125 0 0 0
2 SIDL Crash Barrier 159 455 0 15 0 159 455 0 15 0
3 SIDL Wearing Course 283 809 0 26 0 283 809 0 26 0
4 Soil Back Fill 0 0 0 0 0
5 LL-Pmax 391 1748 293 80 7 391 1748 293 80 7
6 LL-Max. ML -12 2698 513 111 8 -12 2698 513 111 8
7 LL-Max. MT -12 2698 513 111 8 -12 2698 513 111 8
8 LL-Congestion 751 1669 0 52 0 751 1669 0 52 0
9 LL-SV Loading 390 1403 84 37 2 390 1403 84 37 2
10 Tendon Secondary -67 1974 0 83 0 -67 1974 0 83 0
11 Temperature -52 1018 0 50 0 -52 1018 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
13 Wind Forces 0 0 28 0 136 0 0 28 0 136
14 Wind Forces 13 2009 0 98 0 13 2009 0 98 0
15 Wind Forces Vertical 175 499 0 16 0 175 499 0 16 0
16 Wind Forces 0 0 22 0 116 0 0 22 0 116
17 Wind Forces 11 1721 0 84 0 11 1721 0 84 0
18 Wind Forces Vertical 149 425 0 14 0 149 425 0 14 0
19 Creep Secondary 27 648 0 46 0 27 648 0 46 0
20 Shrinkage Secondary 19 546 0 42 0 19 546 0 42 0
21 Water Current 0 10 5 0 0 0 10 5 0 0
22 EQ Transverse 0 0 421 0 155 0 0 421 0 155
23 EQ Longitudinal -64 5063 0 311 0 -64 5063 0 311 0
24 EQ Vertical -615 3471 0 130 0 -615 3471 0 130 0

___________________________________________________________________________________________________________________
53
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

2 Pier Location P1, Pier Bottom


P1, Pier Bottom
Analysis Model Element Number 1014
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR
Long. Trans. Long. Trans.
P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 4818 137 0 0 0 4818 137 0 0 0
2 SIDL Crash Barrier 159 -175 0 15 0 159 -175 0 15 0
3 SIDL Wearing Course 283 -311 0 26 0 283 -311 0 26 0
4 Soil Back Fill 0 0 0 0 0
5 LL-Pmax 391 -448 178 80 7 391 -448 178 80 7
6 LL-Max. ML 383 -2141 178 16 7 383 -2141 178 16 7
7 LL-Max. MT -12 -839 312 111 8 -12 -839 312 111 8
8 LL-Congestion 751 -1392 0 52 0 751 -1392 0 52 0
9 LL-SV Loading 390 -1326 33 37 2 390 -1326 33 37 2
10 Tendon Secondary -67 -1561 0 83 0 -67 -1561 0 83 0
11 Temperature -52 -1122 0 50 0 -52 -1122 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
13 Wind Forces 0 0 7465 0 211 0 0 7465 0 211
14 Wind Forces 13 -4156 0 189 0 13 -4156 0 189 0
15 Wind Forces Vertical 175 -192 0 16 0 175 -192 0 16 0
16 Wind Forces 0 0 6362 0 180 0 0 6362 0 180
17 Wind Forces 11 -3563 0 162 0 11 -3563 0 162 0
18 Wind Forces Vertical 149 -164 0 14 0 149 -164 0 14 0
19 Creep Secondary 27 -1317 0 46 0 27 -1317 0 46 0
20 Shrinkage Secondary 19 -1221 0 42 0 19 -1221 0 42 0
21 Water Current 0 -139 318 27 65 0 -139 318 27 65
22 EQ Transverse 0 0 7325 0 197 0 0 7325 0 197
23 EQ Longitudinal -75 -9343 0 357 0 -75 -9343 0 357 0
24 EQ Vertical -802 -3159 0 230 0 -802 -3159 0 230 0

___________________________________________________________________________________________________________________
54
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
3 Pier Location P2, Pier Top
P2, Pier Top
Analysis Model Element Number 2002
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR
Long. Trans. Long. Trans.
P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 3071 -24 0 0 0 3071 -24 0 0 0
2 SIDL Crash Barrier 159 -536 0 15 0 159 -536 0 15 0
3 SIDL Wearing Course 283 -953 0 26 0 283 -953 0 26 0
4 Soil Back Fill 0 0 0 0 0
5 LL-Pmax 389 -2876 286 85 6 389 -2876 286 85 6
6 LL-Max. ML 389 -2876 286 85 6 389 -2876 286 85 6
7 LL-Max. MT -7 -611 501 10 9 -7 -611 501 10 9
8 LL-Congestion 749 -3380 0 88 0 749 -3380 0 88 0
9 LL-SV Loading 389 -3253 84 87 2 389 -3253 84 87 2
10 Tendon Secondary -65 -2614 0 83 0 -65 -2614 0 83 0
11 Temperature -53 -1428 0 50 0 -53 -1428 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
Wind Forces
13 0 0 377 0 39 0 0 377 0 39
Transverse (No LL)
Wind Forces
14 9 -1412 0 7 0 9 -1412 0 7 0
Longitudinal (No LL)
Wind Forces Vertical
15 174 -587 0 16 0 174 -587 0 16 0
(No LL)
Wind Forces
16 0 0 323 0 33 0 0 323 0 33
Transverse (With LL)
Wind Forces
17 8 -1209 0 6 0 8 -1209 0 6 0
Longitudinal (With LL)
18 Wind Forces Vertical 148 -500 0 14 0 148 -500 0 14 0
19 Creep Secondary 27 -911 0 46 0 27 -911 0 46 0
20 Shrinkage Secondary 19 -964 0 42 0 19 -964 0 42 0
21 Water Current 0 -3 3 0 1 0 -3 3 0 1
22 EQ Transverse 0 0 669 0 100 0 0 669 0 100
23 EQ Longitudinal -42 -4042 0 129 0 -42 -4042 0 129 0
24 EQ Vertical -660 -3566 0 242 0 -660 -3566 0 242 0

___________________________________________________________________________________________________________________
55
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
4 Pier Location P2, Pier Bottom
P2, Pier Bottom
Analysis Model Element Number 2014
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR
Long. Trans. Long. Trans.
P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 5563 -42 0 0 0 5563 -42 0 0 0
2 SIDL Crash Barrier 159 370 0 15 0 159 370 0 15 0
3 SIDL Wearing Course 283 657 0 26 0 283 657 0 26 0
4 Soil Back Fill 0 0 0 0 0
5 LL-Pmax 389 2 121 85 6 389 2 121 85 6
6 LL-Max. ML -7 2332 136 10 9 -7 2332 136 10 9
7 LL-Max. MT -12 769 136 54 9 -12 769 136 54 9
8 LL-Congestion 749 1269 0 88 0 749 1269 0 88 0
9 LL-SV Loading 389 960 23 87 2 389 960 23 87 2
10 Tendon Secondary -65 2463 0 83 0 -65 2463 0 83 0
11 Temperature -53 1646 0 50 0 -53 1646 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
Wind Forces
13 0 0 5390 0 147 0 0 5390 0 147
Transverse (No LL)
Wind Forces
14 9 3177 0 139 0 9 3177 0 139 0
Longitudinal (No LL)
Wind Forces Vertical
15 174 405 0 16 0 174 405 0 16 0
(No LL)
Wind Forces
16 0 0 4599 0 126 0 0 4599 0 126
Transverse (With LL)
Wind Forces
17 8 2726 0 120 0 8 2726 0 120 0
Longitudinal (With LL)
Wind Forces Vertical
18 148 345 0 14 0 148 345 0 14 0
(With LL)
19 Creep Secondary 27 1911 0 46 0 27 1911 0 46 0
20 Shrinkage Secondary 19 1575 0 42 0 19 1575 0 42 0
21 Water Current 0 169 404 32 76 0 169 404 32 76
22 EQ Transverse 0 0 5489 0 166 0 0 5489 0 166
23 EQ Longitudinal -50 6169 0 210 0 -50 6169 0 210 0
24 EQ Vertical -971 3550 0 245 0 -971 3550 0 245 0

___________________________________________________________________________________________________________________
56
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

12 SUMMARY OF FORCES AT PIER TOP AND BOTTOM FOR RESPONSE REDUCTION FACTOR OF 1
The following is the Summary of Forces for the Design of Pier.
The following is the Summary of Forces for the Design of Foundation.
Response Reduction Factor in Model, Long, Direction 3
Response Reduction Factor in Model, Trans. Direction 3

Response Reduction Factor, Long. 1


Response Reduction Factor, Trans. 1

Analysis Model Element Number


S.No. Location Element No.
1 P1, Pier Top 1002
2 P1, Pier Bottom 1014
3 P2, Pier Top 2002
4 P2, Pier Bottom 2014

1 Pier Location P1, Pier Top


P1, Pier Top
Analysis Model Element Number 1002
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR

Long. Trans. Long. Trans.


P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 3069 125 0 0 0 3069 125 0 0 0
2 SIDL Crash Barrier 159 455 0 15 0 159 455 0 15 0
3 SIDL Wearing Course 283 809 0 26 0 283 809 0 26 0
4 Soil Back Fill 0 0 0 0 0
5 LL-Pmax 391 1748 -293 80 7 1172 5245 -880 80 7
6 LL-Max. ML -12 2698 -513 111 8 -37 8094 -1540 111 8
7 LL-Max. MT -12 2698 -513 111 8 -37 8094 -1540 111 8
8 LL-Congestion 751 1669 0 52 0 2254 5006 0 52 0
9 LL-SV Loading 390 1403 -84 37 2 1171 4208 -252 37 2
10 Tendon Secondary -67 1974 0 83 0 -200 5921 0 83 0
11 Temperature -52 1018 0 50 0 -52 1018 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
13 Wind Forces 0 0 -28 0 136 0 0 -28 0 136
14 Wind Forces 13 2009 0 98 0 13 2009 0 98 0
15 Wind Forces Vertical 175 499 0 16 0 175 499 0 16 0
16 Wind Forces 0 0 -22 0 116 0 0 -22 0 116
17 Wind Forces 11 1721 0 84 0 11 1721 0 84 0
18 Wind Forces Vertical 149 425 0 14 0 149 425 0 14 0
19 Creep Secondary 27 648 0 46 0 27 648 0 46 0
20 Shrinkage Secondary 19 546 0 42 0 19 546 0 42 0
21 Water Current 0 10 -5 0 0 0 10 -5 0 0
22 EQ Transverse 0 0 -421 0 155 0 0 -1262 0 465
23 EQ Longitudinal -64 5063 0 311 0 -191 15188 0 932 0
24 EQ Vertical -615 3471 0 130 0 -615 3471 0 130 0

___________________________________________________________________________________________________________________
57
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

2 Pier Location P1, Pier Bottom


P1, Pier Bottom
Analysis Model Element Number 1014
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR
Long. Trans. Long. Trans.
P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 4818 137 0 0 0 4818 137 0 0 0
2 SIDL Crash Barrier 159 -175 0 15 0 159 -175 0 15 0
3 SIDL Wearing Course 283 -311 0 26 0 283 -311 0 26 0
4 Soil Back Fill 0 0 0 0 0
5 LL-Pmax 391 448 -178 80 7 1172 1344 -534 80 7
6 LL-Max. ML 383 2141 -178 16 7 1149 6423 -534 16 7
7 LL-Max. MT -12 839 -312 111 8 -37 2516 -935 111 8
8 LL-Congestion 751 1392 0 52 0 2254 4176 0 52 0
9 LL-SV Loading 390 1326 -33 37 2 1171 3979 -99 37 2
10 Tendon Secondary -67 1561 0 83 0 -200 4683 0 83 0
11 Temperature -52 1122 0 50 0 -52 1122 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
13 Wind Forces 0 0 -7465 0 211 0 0 -7465 0 211
14 Wind Forces 13 4156 0 189 0 13 4156 0 189 0
15 Wind Forces Vertical 175 192 0 16 0 175 192 0 16 0
16 Wind Forces 0 0 -6362 0 180 0 0 -6362 0 180
17 Wind Forces 11 3563 0 162 0 11 3563 0 162 0
18 Wind Forces Vertical 149 164 0 14 0 149 164 0 14 0
19 Creep Secondary 27 1317 0 46 0 27 1317 0 46 0
20 Shrinkage Secondary 19 1221 0 42 0 19 1221 0 42 0
21 Water Current 0 139 -318 27 65 0 139 -318 27 65
22 EQ Transverse 0 0 -7325 0 197 0 0 -21975 0 590
23 EQ Longitudinal -75 9343 0 357 0 -225 28028 0 1070 0
24 EQ Vertical -802 3159 0 230 0 -802 3159 0 230 0

___________________________________________________________________________________________________________________
58
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
3 Pier Location P2, Pier Top
P2, Pier Top
Analysis Model Element Number 2002
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR
Long. Trans. Long. Trans.
P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 3071 -24 0 0 0 3071 -24 0 0 0
2 SIDL Crash Barrier 159 -536 0 15 0 159 -536 0 15 0
3 SIDL Wearing Course 283 -953 0 26 0 283 -953 0 26 0
4 Soil Back Fill 0 0 0 0 0
5 LL-Pmax 389 -2876 -286 85 6 1167 -8628 -859 85 6
6 LL-Max. ML 389 -2876 -286 85 6 1167 -8628 -859 85 6
7 LL-Max. MT -7 -611 -501 10 9 -22 -1834 -1503 10 9
8 LL-Congestion 749 -3380 0 88 0 2248 -10139 0 88 0
9 LL-SV Loading 389 -3253 -84 87 2 1167 -9760 -252 87 2
10 Tendon Secondary -65 -2614 0 83 0 -195 -7843 0 83 0
11 Temperature -53 -1428 0 50 0 -53 -1428 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
Wind Forces
13 0 0 -377 0 39 0 0 -377 0 39
Transverse (No LL)
Wind Forces
14 9 -1412 0 7 0 9 -1412 0 7 0
Longitudinal (No LL)
Wind Forces Vertical
15 174 -587 0 16 0 174 -587 0 16 0
(No LL)
Wind Forces
16 0 0 -323 0 33 0 0 -323 0 33
Transverse (With LL)
Wind Forces
17 8 -1209 0 6 0 8 -1209 0 6 0
Longitudinal (With LL)
18 Wind Forces Vertical 148 -500 0 14 0 148 -500 0 14 0
19 Creep Secondary 27 -911 0 46 0 27 -911 0 46 0
20 Shrinkage Secondary 19 -964 0 42 0 19 -964 0 42 0
21 Water Current 0 -3 -3 0 1 0 -3 -3 0 1
22 EQ Transverse 0 0 -669 0 100 0 0 -2008 0 300
23 EQ Longitudinal -42 -4042 0 129 0 -125 -12125 0 386 0
24 EQ Vertical -660 -3566 0 242 0 -660 -3566 0 242 0

___________________________________________________________________________________________________________________
59
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
50+100+50
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
4 Pier Location P2, Pier Bottom
P2, Pier Bottom
Analysis Model Element Number 2014
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR
Long. Trans. Long. Trans.
P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 5563 -42 0 0 0 5563 -42 0 0 0
2 SIDL Crash Barrier 159 370 0 15 0 159 370 0 15 0
3 SIDL Wearing Course 283 657 0 26 0 283 657 0 26 0
4 Soil Back Fill 0 0 0 0 0
5 LL-Pmax 389 -2 -121 85 6 1167 -6 -363 85 6
6 LL-Max. ML -7 -2332 -136 10 9 -22 -6997 -409 10 9
7 LL-Max. MT -12 -769 -136 54 9 -35 -2307 -409 54 9
8 LL-Congestion 749 -1269 0 88 0 2248 -3806 0 88 0
9 LL-SV Loading 389 -960 -23 87 2 1167 -2880 -68 87 2
10 Tendon Secondary -65 -2463 0 83 0 -195 -7388 0 83 0
11 Temperature -53 -1646 0 50 0 -53 -1646 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
Wind Forces
13 0 0 -5390 0 147 0 0 -5390 0 147
Transverse (No LL)
Wind Forces
14 9 -3177 0 139 0 9 -3177 0 139 0
Longitudinal (No LL)
Wind Forces Vertical
15 174 -405 0 16 0 174 -405 0 16 0
(No LL)
Wind Forces
16 0 0 -4599 0 126 0 0 -4599 0 126
Transverse (With LL)
Wind Forces
17 8 -2726 0 120 0 8 -2726 0 120 0
Longitudinal (With LL)
Wind Forces Vertical
18 148 -345 0 14 0 148 -345 0 14 0
(With LL)
19 Creep Secondary 27 -1911 0 46 0 27 -1911 0 46 0
20 Shrinkage Secondary 19 -1575 0 42 0 19 -1575 0 42 0
21 Water Current 0 -169 -404 32 76 0 -169 -404 32 76
22 EQ Transverse 0 0 -5489 0 166 0 0 -16468 0 499
23 EQ Longitudinal -50 -6169 0 210 0 -149 -18508 0 631 0
24 EQ Vertical -971 -3550 0 245 0 -971 -3550 0 245 0

___________________________________________________________________________________________________________________
60
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

13 DESIGN OF P1, PIER TOP


The Design of Pier is done for the Following Limit States:
1. Ultimate Limit State
Ultimate Limit State is done for the Flexure as well as Shear.
2. Serviceability Limit State
The maximum stress in concrete and reinforcement is checked in this limit state.
The crack width check is also done.

13.1 SECTION PARAMETERS OF P1, PIER TOP


Pier to be Designed P1, Pier Top
Analysis Model Element No. = 1002
2
Concrete Grade = 50 N/mm
2
Reinforcement Grade = 500 N/mm
Width of Pier = 5250 mm
Length of Pier = 4500 mm
Effective Cover = 98 mm
2
Reinforcement = 363825 mm
Reinforcement % = 2.31 %
2
Modulus of Elasticity of Pier = 35000 N/mm
Creep Coefficient = 1.5
Modular Ratio Short Term = 5.71
Modular Ratio Long Term = 14.3

13.2 ULS DESIGN FORCES OF P1, PIER TOP ANALYSIS MODEL ELEMENT NO. 1002

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 5372 8917 445 404 10 8917 445
2 ULS Comb 2 4767 10341 775 450 12 10341 775
3 ULS Comb 3 4767 10341 775 450 12 10341 775
4 ULS Comb 4 5913 8797 5 362 0 8797 5
5 ULS Comb 5 5235 7907 102 326 2 7907 102
6 ULS Comb 6 5372 8917 445 404 10 8917 445
7 ULS Comb 7 4030 8106 445 379 10 8106 445
8 ULS Comb 8 3425 9531 775 425 12 9531 775
9 ULS Comb 9 3425 9531 775 425 12 9531 775
10 ULS Comb 10 4308 7403 5 319 0 7403 5
11 ULS Comb 11 3893 7097 102 301 2 7097 102
12 ULS Comb 12 4030 8106 445 379 10 8106 445
13 ULS Comb 13 5204 8916 342 406 8 8916 342
14 ULS Comb 14 4740 10008 595 442 10 10008 595
15 ULS Comb 15 4740 10008 595 442 10 10008 595
16 ULS Comb 16 5619 8824 5 374 0 8824 5
17 ULS Comb 17 5282 6991 102 281 2 6991 102
18 ULS Comb 18 5282 7388 342 330 8 7388 342
19 ULS Comb 19 3861 8106 342 381 8 8106 342
20 ULS Comb 20 3398 9198 595 416 10 9198 595
21 ULS Comb 21 3398 9198 595 416 10 9198 595
22 ULS Comb 22 4276 8014 5 349 0 8014 5
23 ULS Comb 23 3940 6181 102 256 2 6181 102
24 ULS Comb 24 3940 6578 342 305 8 6578 342

___________________________________________________________________________________________________________________
61
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
25 ULS Comb 25 5563 9932 465 446 115 9932 465
26 ULS Comb 26 4958 11357 795 492 117 11357 795
27 ULS Comb 27 4958 11357 795 492 117 11357 795
28 ULS Comb 28 5841 9228 25 386 105 9228 25
29 ULS Comb 29 5282 6991 102 281 2 6991 102
30 ULS Comb 30 5426 9320 362 418 112 9320 362
31 ULS Comb 31 4220 9122 465 421 115 9122 465
32 ULS Comb 32 3616 10547 795 467 117 10547 795
33 ULS Comb 33 3616 10547 795 467 117 10547 795
34 ULS Comb 34 4499 8418 25 361 105 8418 25
35 ULS Comb 35 3940 6181 102 256 2 6181 102
36 ULS Comb 36 4084 8510 362 393 112 8510 362
37 ULS Comb 37 5522 10608 376 477 182 10608 376
38 ULS Comb 38 5058 11700 628 512 184 11700 628
39 ULS Comb 39 5058 11700 628 512 184 11700 628
40 ULS Comb 40 5937 10516 38 445 174 10516 38
41 ULS Comb 41 5282 6991 102 281 2 6991 102
42 ULS Comb 42 5522 10608 376 477 182 10608 376
43 ULS Comb 43 4179 9797 376 451 182 9797 376
44 ULS Comb 44 3716 10890 628 487 184 10890 628
45 ULS Comb 45 3716 10890 628 487 184 10890 628
46 ULS Comb 46 4594 9706 38 420 174 9706 38
47 ULS Comb 47 3940 6181 102 256 2 6181 102
48 ULS Comb 48 4179 9797 376 451 182 9797 376
49 ULS Comb 49 4591 7644 46 361 205 7644 46
50 ULS Comb 50 4591 7644 46 361 205 7644 46
51 ULS Comb 51 4591 7644 46 361 205 7644 46
52 ULS Comb 52 4591 7644 46 361 205 7644 46
53 ULS Comb 53 4591 7644 46 361 205 7644 46
54 ULS Comb 54 4591 7644 46 361 205 7644 46
55 ULS Comb 55 3248 6834 46 335 205 6834 46
56 ULS Comb 56 3248 6834 46 335 205 6834 46
57 ULS Comb 57 3248 6834 46 335 205 6834 46
58 ULS Comb 58 3248 6834 46 335 205 6834 46
59 ULS Comb 59 3248 6834 46 335 205 6834 46
60 ULS Comb 60 3248 6834 46 335 205 6834 46
61 ULS Comb 61 5114 9140 46 409 205 9140 46
62 ULS Comb 62 5114 9140 46 409 205 9140 46
63 ULS Comb 63 5114 9140 46 409 205 9140 46
64 ULS Comb 64 5114 9140 46 409 205 9140 46
65 ULS Comb 65 5114 9140 46 409 205 9140 46
66 ULS Comb 66 3772 8330 46 384 205 8330 46
67 ULS Comb 67 3772 8330 46 384 205 8330 46
68 ULS Comb 68 3772 8330 46 384 205 8330 46
69 ULS Comb 69 3772 8330 46 384 205 8330 46
70 ULS Comb 70 3772 8330 46 384 205 8330 46
71 ULS Comb 71 3772 8330 46 384 205 8330 46
72 ULS Comb 72 3772 8330 46 384 205 8330 46
73 ULS Comb 73 4513 15392 253 804 71 15392 253
74 ULS Comb 74 4432 15582 297 810 72 15582 297
75 ULS Comb 75 4432 15582 297 810 72 15582 297
76 ULS Comb 76 4585 15376 194 798 70 15376 194
77 ULS Comb 77 4513 15392 253 804 71 15392 253
78 ULS Comb 78 3092 14233 194 763 70 14233 194
79 ULS Comb 79 3724 11459 253 662 71 11459 253
80 ULS Comb 80 3643 11649 297 668 72 11649 297
81 ULS Comb 81 3643 11649 297 668 72 11649 297
82 ULS Comb 82 3796 11443 194 656 70 11443 194
83 ULS Comb 83 3724 11459 253 662 71 11459 253
84 ULS Comb 84 3646 11109 194 646 70 11109 194
85 ULS Comb 85 4580 10077 695 478 234 10077 695

___________________________________________________________________________________________________________________
62
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
86 ULS Comb 86 4499 10267 739 484 234 10267 739
87 ULS Comb 87 4499 10267 739 484 234 10267 739
88 ULS Comb 88 4652 10061 636 472 233 10061 636
89 ULS Comb 89 4502 9727 636 462 233 9727 636
90 ULS Comb 90 4580 10077 695 478 234 10077 695
91 ULS Comb 91 3791 6143 695 336 234 6143 695
92 ULS Comb 92 3710 6333 739 342 234 6333 739
93 ULS Comb 93 3710 6333 739 342 234 6333 739
94 ULS Comb 94 3863 6127 636 330 233 6127 636
95 ULS Comb 95 3713 5793 636 320 233 5793 636
96 ULS Comb 96 3791 6143 695 336 234 6143 695
97 ULS Comb 97 3934 13721 253 614 71 13721 253
98 ULS Comb 98 3853 13911 297 620 72 13911 297
99 ULS Comb 99 3853 13911 297 620 72 13911 297
100 ULS Comb 100 3856 13371 194 598 70 13371 194
101 ULS Comb 101 3856 13371 194 598 70 13371 194
102 ULS Comb 102 2513 12561 194 573 70 12561 194
103 ULS Comb 103 4437 2499 253 199 71 2499 253
104 ULS Comb 104 4356 2689 297 206 72 2689 297
105 ULS Comb 105 4356 2689 297 206 72 2689 297
106 ULS Comb 106 4359 2149 194 183 70 2149 194
107 ULS Comb 107 4359 2149 194 183 70 2149 194
108 ULS Comb 108 4359 2149 194 183 70 2149 194
109 ULS Comb 109 3543 5426 64 254 2 5426 64
110 ULS Comb 110 3462 5616 108 261 2 5616 108
111 ULS Comb 111 3462 5616 108 261 2 5616 108
112 ULS Comb 112 3615 5411 5 249 0 5411 5
113 ULS Comb 113 3569 4848 22 221 1 4848 22
114 ULS Comb 114 3543 5426 64 254 2 5426 64
Max Values 5937 15582 795 810 234 15582 795

___________________________________________________________________________________________________________________
63
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
13.3 CALCULATION OF ADDITIONAL ECCENTRICITY OF P1, PIER TOP ANALYSIS MODEL ELEMENT NO. 1002
Calculation of Additional Eccentricity due to Geometric Imperfection
The additional eccentricity due to imperfections is obtained from cl. 11.3.2.2 of IRC 112.
The additional eccentricity is calculated as per the expression shown below.
Additional Eccentricity e = 15 + Lo/800
where,
Lo is the Height of the Pier
Lo = 44948 mm
Additional Eccentricity (Geometric Imperfection) e = 71.19 mm

Calculation of Additional Eccentricity due to Slenderness Effects


The additional eccentricity due to Slenderness Effects is computed as per cl. 11.2 of IRC 112 2020.
Determination of Slenderness Ratio
The slenderness ratio is defined as:
λ = Le/i
Where
λ is the slenderness ratio
Le is the effective length
i is the radius of gyration of the uncracked concrete section
The Effective Length is obtained from Table 11.1 of IRC 112 2020.
Direction Longitudinal Transverse
FRL-Open Foundation Top 51.20 51.20 m
Depth of Structure
Clear Height of Pier Column 44.95 51.20 m
Factor 1.5 2.3
Le 67 118 m
Width of Pier 5.3 4.5 m
Length of Pier 4.5 5.3 m
Clear Distance Between Piers NA NA m
2
Area 15.75 15.75 m
4
Moment of Inertia 38.77 47.20 m
i 1.569 1.731 m
λ 42.98 68.02
The limitation of λ is obtained from equation 11.1 of IRC 112 2011
λlim = 20 x A x B x C / sqrt(n)
Calculation of rm
rm = M1/M2
M1 3138 293 ton m
Moment at one end
M2 3138 293 ton m
Moment at other end
Condition Unbraced Unbraced
rm 1.00 1.00
C= 0.70 0.70
Reinf. Percentage 2.31 2.31
Cross Section Area 15750000 15750000
Area of Reinforcement 363825 363825
Fyd 435 435
Ac 15750000 15750000
Fcd 22 22
Mechanical reinforcement Ratio 0.452 0.452
B 1.380 1.380
M Quasi 5229 0 ton m
M ULS 15582 795 ton m
φ 2 2
φeff 0.503 0.000
A 0.665 1.000
Ned 5937 5937 tons
n 0.166 0.166
λlim = 31.514 47.377

___________________________________________________________________________________________________________________
64
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Slender Slender

Calculation of Additional Eccentricity


The additional eccentricity is computed as per cl. 11.3.2.2 of IRC 112.
2
e = 1/r x Le / c
1/r = KrKΦ 1/r0
Kr = (nu -n)/(nu-nbal)
n= 0.166 0.166
nu = 1.452 1.452
nbal 0.40 0.40
Kr = 1.000 1.000
KΦ = 1 + βΦeff
β 0.313 0.147
KΦ = 1.158 1.000
1/r0 = εyd/.45d
d = h/2 + i
Width of Column 5250 4500
Length of Column 4500 5250
d= 3300 3863
1/r0 = 0.00000146 0.00000125
1/r = 0.00000170 0.00000125
e= 770.848 1735.162

The additional eccentricity is required to be adopted only if the column is under the Slender category
Add. Eccentricity due to Slenderness Long. eLong. = 771 mm
Add. Eccentricity due to Slenderness Trans eTrans. = 1735 mm
Add. Resultant Eccentricity eRes = 1899 mm
Note: Axial Load is taken at Mid Pier Height for the Calculation of Additional Moment.

___________________________________________________________________________________________________________________
65
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
13.4 ULS FLEXURE DESIGN CHECK FOR P1, PIER TOP ANALYSIS MODEL ELEMENT NO. 1002
The ULS Flexure check is done with PM Interaction.
The MR includes additional moment due to imperfections and additional eccentricity effect due to Slenderness
ML, incl add. MT, incl add.
Load Combination P Ecc and Ecc and MLC MTC Load Combination
S.No. MR/MRC UR
Slenderness Slenderness Description
Units t tm tm tm tm
1 ULS Comb 1 5372 16564 16849 24634 30026 0.61

DL + SIDL Axial Load Adding and


Live Load Leading and Thermal
2 ULS Comb 2 4767 17504 16139 22653 30842 0.62
3 ULS Comb 3 4767 17502 16135 22653 30842 0.62

ULS COMBINATIONS
4 ULS Comb 4 5913 16896 17380 25123 30137 0.62

Relieving Effect
Accompanying
5 ULS Comb 5 5235 15448 16279 25115 29557 0.58
6 ULS Comb 6 5372 16564 16849 24634 30026 0.61
0.62
7 ULS Comb 7 4030 13813 12686 22078 30491 0.50
8 ULS Comb 8 3425 14753 11976 19489 31335 0.51
9 ULS Comb 9 3425 14751 11972 19483 31338 0.51
10 ULS Comb 10 4308 13344 12751 22926 30218 0.49
11 ULS Comb 11 3893 12697 12115 22616 30005 0.47
12 ULS Comb 12 4030 13813 12686 22078 30491 0.50
13 ULS Comb 13 5204 16422 16445 24276 30133 0.60

DL + SIDL Axial Load Adding and


14 ULS Comb 14 4740 17142 15900 22738 30766 0.61

Live Load Accompanying and


15 ULS Comb 15 4740 17141 15897 22733 30770 0.61

ULS COMBINATIONS
16 ULS Comb 16 5619 16677 16851 24675 30216 0.61

Thermal Leading

Relieving Effect
17 ULS Comb 17 5282 14576 16373 26165 28812 0.56
18 ULS Comb 18 5282 14968 16602 25965 28965 0.57
0.61
19 ULS Comb 19 3861 13671 12281 21582 30620 0.49
20 ULS Comb 20 3398 14392 11737 19543 31277 0.50
21 ULS Comb 21 3398 14390 11734 19538 31280 0.50
22 ULS Comb 22 4276 13926 12688 22123 30711 0.50
23 ULS Comb 23 3940 11825 12210 23954 29146 0.45
24 ULS Comb 24 3940 12217 12438 23722 29309 0.46
25 ULS Comb 25 5563 17735 17204 23981 30654 0.63

DL + SIDL Axial Load Adding and


26 ULS Comb 26 4958 18675 16493 22083 31389 0.65

Live Load Leading and Wind


27 ULS Comb 27 4958 18673 16489 22083 31389 0.65 ULS COMBINATIONS
28 ULS Comb 28 5841 17266 17268 24638 30430 0.62

Relieving Effect
Accompanying
29 ULS Comb 29 5282 14576 16373 26165 28812 0.56
30 ULS Comb 30 5426 17011 16862 24250 30350 0.62
0.65
31 ULS Comb 31 4220 14984 13041 21320 31150 0.53
32 ULS Comb 32 3616 15924 12330 18835 31874 0.54
33 ULS Comb 33 3616 15922 12326 18835 31874 0.54
34 ULS Comb 34 4499 14515 13105 22127 30921 0.51
35 ULS Comb 35 3940 11825 12210 23954 29146 0.45
36 ULS Comb 36 4084 14260 12699 21597 30834 0.51
37 ULS Comb 37 5522 18374 17035 23231 31137 0.64
DL + SIDL Axial Load Adding and

38 ULS Comb 38 5058 19094 16491 21788 31669 0.66


Live Load Accompanying and

39 ULS Comb 39 5058 19093 16488 21788 31669 0.66


ULS COMBINATIONS

40 ULS Comb 40 5937 18629 17442 23638 31213 0.65


Relieving Effect
Wind Leading

41 ULS Comb 41 5282 14576 16373 26165 28812 0.56


42 ULS Comb 42 5522 18374 17035 23231 31137 0.64
0.66
43 ULS Comb 43 4179 15623 12872 20376 31654 0.54
44 ULS Comb 44 3716 16343 12327 18480 32164 0.55
45 ULS Comb 45 3716 16342 12324 18475 32167 0.55
46 ULS Comb 46 4594 15878 13278 20941 31748 0.54
47 ULS Comb 47 3940 11825 12210 23954 29146 0.45
48 ULS Comb 48 4179 15623 12872 20376 31654 0.54

___________________________________________________________________________________________________________________
66
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
49 ULS Comb 49 4591 14643 15061 24322 29530 0.55
50 ULS Comb 50 4591 14643 15061 24322 29530 0.55

DL + SIDL Axial Load Adding


Wind only No Live Load
51 ULS Comb 51 4591 14643 15061 24322 29530 0.55

ULS COMBINATIONS

and Relieving Effect


52 ULS Comb 52 4591 14643 15061 24322 29530 0.55
53 ULS Comb 53 4591 14643 15061 24322 29530 0.55
54 ULS Comb 54 4591 14643 15061 24322 29530 0.55
0.55
55 ULS Comb 55 3248 11892 10898 21439 30047 0.44
56 ULS Comb 56 3248 11892 10898 21439 30047 0.44
57 ULS Comb 57 3248 11892 10898 21439 30047 0.44
58 ULS Comb 58 3248 11892 10898 21439 30047 0.44
59 ULS Comb 59 3248 11892 10898 21439 30047 0.44
60 ULS Comb 60 3248 11892 10898 21439 30047 0.44
61 ULS Comb 61 5114 16571 15989 23626 30517 0.60
62 ULS Comb 62 5114 16571 15989 23626 30517 0.60

DL + SIDL Axial Load Adding


Wind only No Live Load
63 ULS Comb 63 5114 16571 15989 23626 30517 0.60

ULS COMBINATIONS

and Relieving Effect


64 ULS Comb 64 5114 16571 15989 23626 30517 0.60
65 ULS Comb 65 5114 16571 15989 23626 30517 0.60
66 ULS Comb 66 3772 13820 11826 20689 31059 0.49
0.60
67 ULS Comb 67 3772 13820 11826 20689 31059 0.49
68 ULS Comb 68 3772 13820 11826 20689 31059 0.49
69 ULS Comb 69 3772 13820 11826 20689 31059 0.49
70 ULS Comb 70 3772 13820 11826 20689 31059 0.49
71 ULS Comb 71 3772 13820 11826 20689 31059 0.49
72 ULS Comb 72 3772 13820 11826 20689 31059 0.49
73 ULS Comb 73 4513 22229 14919 17261 33569 0.71

Transvesre : 30% : EQ Vertical : Transvesre : 100% : EQ Vertical Transvesre : 30% : EQ Vertical :


Earthquake Combinations EQ
74 ULS Comb 74 4432 22354 14824 17007 33607 0.71

DL + SIDL Axial Load Adding


Longitudinal 100% : EQ
75 ULS Comb 75 4432 22354 14824 17007 33607 0.71

ULS COMBINATIONS

and Relieving Effect


76 ULS Comb 76 4585 22273 14990 17370 33594 0.71
77 ULS Comb 77 4513 22229 14919 17261 33569 0.71
78 ULS Comb 78 3092 19065 10560 13095 33560 0.61

30%
0.71
79 ULS Comb 79 3724 17099 12352 17767 32505 0.57
80 ULS Comb 80 3643 17224 12258 17451 32572 0.57
81 ULS Comb 81 3643 17224 12257 17451 32572 0.57
82 ULS Comb 82 3796 17143 12423 17880 32536 0.57
83 ULS Comb 83 3724 17099 12352 17767 32505 0.57
84 ULS Comb 84 3646 16685 12157 17840 32395 0.56
85 ULS Comb 85 4580 16944 15426 22320 30882 0.60
Earthquake Combinations EQ

86 ULS Comb 86 4499 17069 15331 22046 30979 0.60

DL + SIDL Axial Load Adding


87 ULS Comb 87 4499 17069 15331 22046 30979 0.60
Longitudinal 30% : EQ
ULS COMBINATIONS

and Relieving Effect


88 ULS Comb 88 4652 16988 15497 22405 30897 0.60
89 ULS Comb 89 4502 16530 15230 22468 30712 0.59
: 30%

90 ULS Comb 90 4580 16944 15426 22320 30882 0.60


0.60
91 ULS Comb 91 3791 11813 12859 24717 28449 0.46
92 ULS Comb 92 3710 11939 12764 24367 28615 0.47
93 ULS Comb 93 3710 11939 12764 24367 28615 0.47
94 ULS Comb 94 3863 11858 12930 24792 28464 0.46
95 ULS Comb 95 3713 11400 12664 24993 28165 0.45
96 ULS Comb 96 3791 11813 12859 24717 28449 0.46
97 ULS Comb 97 3934 19719 13122 16636 33247 0.64
Earthquake Combinations EQ

98 ULS Comb 98 3853 19845 13027 16347 33276 0.64


DL + SIDL Axial Load Adding

99 ULS Comb 99 3853 19845 13026 16347 33276 0.64


Longitudinal 30% : EQ
ULS COMBINATIONS

and Relieving Effect

100 ULS Comb 100 3856 19306 12926 16663 33142 0.63
101 ULS Comb 101 3856 19306 12926 16663 33142 0.63
100%

102 ULS Comb 102 2513 16555 8763 11939 33188 0.53
0.64
103 ULS Comb 103 4437 9038 14280 30639 24016 0.43
104 ULS Comb 104 4356 9163 14185 30332 24240 0.44
105 ULS Comb 105 4356 9163 14185 30332 24240 0.44
106 ULS Comb 106 4359 8624 14085 31024 23550 0.42
107 ULS Comb 107 4359 8624 14085 31024 23550 0.42
108 ULS Comb 108 4359 8624 14085 31024 23550 0.42

___________________________________________________________________________________________________________________
67
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
109 ULS Comb 109 3543 10738 11458 24213 28545 0.42

COMBINATION
S ACCIDENTAL

Combinations

Current Load
110 ULS Comb 110 3462 10863 11363 23827 28735 0.42

with Water
Normal
111 ULS Comb 111 3462 10863 11363 23827 28735 0.42

ULS
0.42
112 ULS Comb 112 3615 10782 11528 24299 28566 0.42
113 ULS Comb 113 3569 10185 11470 25116 27919 0.41
114 ULS Comb 114 3543 10738 11458 24213 28545 0.42

Utilization
Max. Utilization Ratio
Ratio
Normal Cases Live Load Leading and Thermal Accompanying = 0.62
Normal Cases Live Load Accompanying and Thermal Leading = 0.61
Normal Cases Live Load Leading and Wind Accompanying = 0.65
Normal Cases Live Load Accompanying and Wind Leading = 0.66
Normal Cases Wind Load Without Live Load = 0.55
Normal Cases Wind Load Without Live Load = 0.60
Seismic Cases EQ Long 100% EQ Trans 30% EQ Vertical 30% = 0.71
Seismic Cases EQ Long 30% EQ Trans 100% EQ Vertical 30% = 0.60
Seismic Cases EQ Long 30% EQ Trans 100% EQ Vertical 30% = 0.64
Accidental Case Barge Impact = 0.42

___________________________________________________________________________________________________________________
68
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
13.5 ULS SHEAR CHECK FOR P1, PIER TOP ANALYSIS MODEL ELEMENT NO. 1002
The ULS Shear check is done as per Chapter 10 of IRC 112.
The Shear Check has two components:
1. Section Adequacy: In this check, the adequacy of section is checked for compression failure.
2. Shear Reinforcement: In this check, it is established whether the section needs design shear reinforcement
or the provided longitudinal reinforcement is enough to cater to the Design Shear Force.
If shear reinforcement is required, the same is calculated.
ULS Shear Force is obtained as the following three criterias:
1. ULS Shear Force for R = 1
2. ULS Shear Force from Capacity Design Principles
3. ULS Shear Force from Design Forces without Seismic Effects
The Shear Force for Design is obtained as follows:
Maximum of (3, Minimum of 1 and 2)
Thus, the ULS Shear Forces for R =1 are also required.

ULS FORCES IN PIER FOR R =1


Load Combination P ML MT HL HT Net ML Net MT
S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 6410 18109 1325 404 10 18109 1325
2 ULS Comb 2 4597 22383 2315 450 12 22383 2315
3 ULS Comb 3 4597 22383 2315 450 12 22383 2315
4 ULS Comb 4 8034 17750 5 362 0 17750 5
5 ULS Comb 5 6000 15081 295 326 2 15081 295
6 ULS Comb 6 6410 18109 1325 404 10 18109 1325
7 ULS Comb 7 5068 17299 1325 379 10 17299 1325
8 ULS Comb 8 3255 21573 2315 425 12 21573 2315
9 ULS Comb 9 3255 21573 2315 425 12 21573 2315
10 ULS Comb 10 5903 15188 5 319 0 15188 5
11 ULS Comb 11 4658 14271 295 301 2 14271 295
12 ULS Comb 12 5068 17299 1325 379 10 17299 1325
13 ULS Comb 13 5969 16884 1017 406 8 16884 1017
14 ULS Comb 14 4579 20161 1776 442 10 20161 1776
15 ULS Comb 15 4579 20161 1776 442 10 20161 1776
16 ULS Comb 16 7214 16609 5 374 0 16609 5
17 ULS Comb 17 6047 14164 295 281 2 14164 295
18 ULS Comb 18 6048 15357 1017 330 8 15357 1017
19 ULS Comb 19 4627 16074 1017 381 8 16074 1017
20 ULS Comb 20 3236 19351 1776 416 10 19351 1776
21 ULS Comb 21 3236 19351 1776 416 10 19351 1776
22 ULS Comb 22 5871 15799 5 349 0 15799 5
23 ULS Comb 23 4705 13354 295 256 2 13354 295
24 ULS Comb 24 4705 14547 1017 305 8 14547 1017
25 ULS Comb 25 6601 19124 1345 446 115 19124 1345
26 ULS Comb 26 4788 23399 2335 492 117 23399 2335
27 ULS Comb 27 4788 23399 2335 492 117 23399 2335
28 ULS Comb 28 7436 17014 25 386 105 17014 25
29 ULS Comb 29 6047 14164 295 281 2 14164 295
30 ULS Comb 30 6191 17288 1037 418 112 17288 1037
31 ULS Comb 31 5259 18314 1345 421 115 18314 1345
32 ULS Comb 32 3446 22589 2335 467 117 22589 2335
33 ULS Comb 33 3446 22589 2335 467 117 22589 2335
34 ULS Comb 34 6094 16203 25 361 105 16203 25
35 ULS Comb 35 4705 13354 295 256 2 13354 295
36 ULS Comb 36 4849 16478 1037 393 112 16478 1037
37 ULS Comb 37 6287 18576 1050 477 182 18576 1050
38 ULS Comb 38 4897 21853 1809 512 184 21853 1809
39 ULS Comb 39 4897 21853 1809 512 184 21853 1809
40 ULS Comb 40 7532 18301 38 445 174 18301 38
41 ULS Comb 41 6047 14164 295 281 2 14164 295
42 ULS Comb 42 6287 18576 1050 477 182 18576 1050

___________________________________________________________________________________________________________________
69
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
43 ULS Comb 43 4945 17766 1050 451 182 17766 1050
44 ULS Comb 44 3554 21043 1809 487 184 21043 1809
45 ULS Comb 45 3554 21043 1809 487 184 21043 1809
46 ULS Comb 46 6189 17491 38 420 174 17491 38
47 ULS Comb 47 4705 13354 295 256 2 13354 295
48 ULS Comb 48 4945 17766 1050 451 182 17766 1050
49 ULS Comb 49 4457 11592 46 361 205 11592 46
50 ULS Comb 50 4457 11592 46 361 205 11592 46
51 ULS Comb 51 4457 11592 46 361 205 11592 46
52 ULS Comb 52 4457 11592 46 361 205 11592 46
53 ULS Comb 53 4457 11592 46 361 205 11592 46
54 ULS Comb 54 4457 11592 46 361 205 11592 46
55 ULS Comb 55 3115 10782 46 335 205 10782 46
56 ULS Comb 56 3115 10782 46 335 205 10782 46
57 ULS Comb 57 3115 10782 46 335 205 10782 46
58 ULS Comb 58 3115 10782 46 335 205 10782 46
59 ULS Comb 59 3115 10782 46 335 205 10782 46
60 ULS Comb 60 3115 10782 46 335 205 10782 46
61 ULS Comb 61 4981 13087 46 409 205 13087 46
62 ULS Comb 62 4981 13087 46 409 205 13087 46
63 ULS Comb 63 4981 13087 46 409 205 13087 46
64 ULS Comb 64 4981 13087 46 409 205 13087 46
65 ULS Comb 65 4981 13087 46 409 205 13087 46
66 ULS Comb 66 3639 12277 46 384 205 12277 46
67 ULS Comb 67 3639 12277 46 384 205 12277 46
68 ULS Comb 68 3639 12277 46 384 205 12277 46
69 ULS Comb 69 3639 12277 46 384 205 12277 46
70 ULS Comb 70 3639 12277 46 384 205 12277 46
71 ULS Comb 71 3639 12277 46 384 205 12277 46
72 ULS Comb 72 3639 12277 46 384 205 12277 46
73 ULS Comb 73 4344 35227 749 1736 211 35227 749
74 ULS Comb 74 4103 35797 881 1742 211 35797 881
75 ULS Comb 75 4103 35797 881 1742 211 35797 881
76 ULS Comb 76 4561 35179 573 1730 209 35179 573
77 ULS Comb 77 4344 35227 749 1736 211 35227 749
78 ULS Comb 78 2768 33368 573 1695 209 33368 573
79 ULS Comb 79 3556 31293 749 1594 211 31293 749
80 ULS Comb 80 3314 31863 881 1600 211 31863 881
81 ULS Comb 81 3314 31863 881 1600 211 31863 881
82 ULS Comb 82 3772 31246 573 1588 209 31246 573
83 ULS Comb 83 3556 31293 749 1594 211 31293 749
84 ULS Comb 84 3321 30244 573 1578 209 30244 573
85 ULS Comb 85 4545 19280 2074 757 699 19280 2074
86 ULS Comb 86 4304 19850 2206 764 699 19850 2206
87 ULS Comb 87 4304 19850 2206 764 699 19850 2206
88 ULS Comb 88 4762 19232 1898 752 697 19232 1898
89 ULS Comb 89 4311 18231 1898 741 697 18231 1898
90 ULS Comb 90 4545 19280 2074 757 699 19280 2074
91 ULS Comb 91 3757 15346 2074 615 699 15346 2074
92 ULS Comb 92 3515 15916 2206 621 699 15916 2206
93 ULS Comb 93 3515 15916 2206 621 699 15916 2206
94 ULS Comb 94 3973 15298 1898 610 697 15298 1898
95 ULS Comb 95 3522 14297 1898 599 697 14297 1898
96 ULS Comb 96 3757 15346 2074 615 699 15346 2074
97 ULS Comb 97 3900 22924 749 894 211 22924 749
98 ULS Comb 98 3658 23494 881 900 211 23494 881
99 ULS Comb 99 3658 23494 881 900 211 23494 881
100 ULS Comb 100 3665 21875 573 878 209 21875 573
101 ULS Comb 101 3665 21875 573 878 209 21875 573
102 ULS Comb 102 2323 21065 573 853 209 21065 573
103 ULS Comb 103 4402 11702 749 479 211 11702 749

___________________________________________________________________________________________________________________
70
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
104 ULS Comb 104 4161 12272 881 485 211 12272 881
105 ULS Comb 105 4161 12272 881 485 211 12272 881
106 ULS Comb 106 4168 10653 573 463 209 10653 573
107 ULS Comb 107 4168 10653 573 463 209 10653 573
108 ULS Comb 108 4168 10653 573 463 209 10653 573
109 ULS Comb 109 3566 10073 181 254 2 10073 181
110 ULS Comb 110 3324 10643 313 261 2 10643 313
111 ULS Comb 111 3324 10643 313 261 2 10643 313
112 ULS Comb 112 3782 10025 5 249 0 10025 5
113 ULS Comb 113 3592 9357 55 221 1 9357 55
114 ULS Comb 114 3566 10073 181 254 2 10073 181
Max Values 8034 35797 2335 1742 699 35797 2335

The ULS Shear check is done for the Maximum Shear Force obtained. The formulations of cl. 10.3.2 of
IRC 112 are used.
As per IRC 112 cl. 10.3.2, the shear capacity of shear not requiring design shear reinforcement is
.33
VRd,c = (.12K(80ρlfck) + .15 σcp) bwd subject to min. of (vmin + .15 σcp)bwd
Fck = Concrete Compressive Strength
bw = Section Width for Design
D = Total Depth of Section
d = Effective Depth of Section
VEd = ULS Shear Force

Check for Section Adequacy


The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Longitudinal Direction
Maximum Shear Force = 813 t
Shear Force with R =1 = 1742 t
Capacity Moment = 0 tm
Pier Height = 51.20 m
Design Shear Force = 813 t
Depth of Section = 5250 mm
Width of the Section Twice the Web Width = 1000 mm
Effective Cover = 98 mm
Effective Depth = 5152 mm

Calculation of Maximum Allowable Shear Force (Corresponding to θ = 45 Degree)


Maximum Shear Capacity Vrd,max = αcw x bw x z x v1 x fcd
(cot θ + tan θ )
Axial Load in Pier DL + SIDL t
State of Stress in Compression Chord σcp = 6.69 N/mm2
Taken for Unfactored DL + SIDL only αcw = 1.00
Width of Section bw = 1000 mm
Effective Depth of Section z = 5152 mm
Lever Arm
2
Compressive Strength fck = 50 N/mm
v1 v1 = 0.503
2
Design Compressive Strength fcd = 22.33 N/mm
Angle of Strut θ = 45 Degrees
Maximum Shear Capacity of Section Vrd,max = 2950 t
OK

___________________________________________________________________________________________________________________
71
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Calculation of Shear Capacity of Section Without Shear Reinforcement as per cl. 10.3.2 of IRC 112
Width of Section b = 1000 mm
Effective Depth of Section d = 5152.0 mm
2
State of Stress in Compression Chord σcp = 6.69 N/mm
K K = 1.197
2
Fck Fck = 50 N/mm
2
Provided Reinforcement (Tension Side) Ast = 181913 mm
Taken as Half of the Reinforcement Provided
2
Area Apier = 5152000 mm
Reinforcement Ratio ρ = 0.03531
2
νmin ν = 0.287 N/mm
2
ν .12K(80xρxFck)^.33 considering Reinforcement ν = 0.748 N/mm
Vrd,c Vrd,c = 920 t
Design Shear Force Vd = 813 t
Since Vrd,c > Vd Provide Minimum Shear Reinforcement

Calculation of Strut Angle for Minimum Shear Reinforcement by equating Vrd,max to VNS
Design Shear Force VNS = 813 t
Strut Angle for Vrd,max = VNS θ = 8.00 Deg
Minimum Strut Angle as per the Code θ min = 21.8 Deg
Adopted Strut Angle θadopted = 37.5 Deg

Calculation of Shear Reinforcement Required


Design Shear Force VRd,s = 813 t
Adopted Strut Angle θadopted = 38 Deg
Spacing s = 150 mm
Lever Arm z = 4636.8 mm
2
Yield Stress of Reinforcement fyk = 500 N/mm
Design Yield Stress of Reinforcement fywd = 435 mm
2
Required Shear Reinforcement Asw = 455 mm

Calculation of Minimum Shear Reinforcement as per Chapter 16 of IRC 112


2
Characteristic Strength of Concrete fck = 50 N/mm
2
Yield Strength of Steel fyk = 500 N/mm
Minimum Shear Reinforcement Ratio ρw,min = 0.001018
Angle Between Shear Reinforcement and Longitudinal Axis α = 90 Deg
Width of Member bw = 1000 mm
Adopted Spacing S = 150 mm
2
Minimum Shear Reinforcement Area Asw,min = 153 mm

___________________________________________________________________________________________________________________
72
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Check for Section Adequacy


The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Transverse Direction
Maximum Shear Force = 234 t
Shear Force with R =1 = 699 t
Capacity Moment = 0 tm
Pier Height = 51.20 m
Design Shear Force = 234 t
Depth of Section = 4500 mm
Width of the Section Taken as Twice the Web Width = 2500 mm
Effective Cover = 98 mm
Effective Depth = 4402 mm

Calculation of Maximum Allowable Shear Force (Corresponding to θ = 45 Degree)


Maximum Shear Capacity Vrd,max = αcw x bw x z x v1 x fcd
(cot θ + tan θ )
Axial Load in Pier DL + SIDL t
State of Stress in Compression Chord σcp = 3.13 N/mm2
Taken for Unfactored DL + SIDL only αcw = 1.14
Width of Section bw = 2500 mm
Effective Depth of Section z = 4402 mm
Lever Arm
2
Compressive Strength fck = 50 N/mm
v1 v1 = 0.503
2
Design Compressive Strength fcd = 22.33 N/mm
Angle of Strut θ = 45 Degrees
Maximum Shear Capacity of Section Vrd,max = 7185 t
OK
Calculation of Shear Capacity of Section Without Shear Reinforcement as per cl. 10.3.2 of IRC 112
Width of Section b = 2500 mm
Effective Depth of Section d = 4402.0 mm
2
State of Stress in Compression Chord σcp = 3.13 N/mm
K K = 1.213
2
Fck Fck = 50 N/mm
2
Provided Reinforcement (Tension Side) Ast = 181913 mm
Taken as Half of the Reinforcement Provided
2
Area Apier = 5152000 mm
Reinforcement Ratio ρ = 0.03531
2
νmin ν = 0.293 N/mm
2
ν .12K(80xρxFck)^.33 considering Reinforcement ν = 0.758 N/mm
Vrd,c Vrd,c = 1377 t
Design Shear Force Vd = 234 t
Since Vrd,c > Vd Provide Minimum Shear Reinforcement

Calculation of Strut Angle for Minimum Shear Reinforcement by equating Vrd,max to VNS
Design Shear Force VNS = 234 t
Strut Angle for Vrd,max = VNS θ = 0.93 Deg
Minimum Strut Angle as per the Code θ min = 21.8 Deg
Adopted Strut Angle θadopted = 37.5 Deg

___________________________________________________________________________________________________________________
73
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Calculation of Shear Reinforcement Required
Design Shear Force VRd,s = 234 t
Adopted Strut Angle θadopted = 38 Deg
Spacing s = 150 mm
Lever Arm z = 3961.8 mm
2
Yield Stress of Reinforcement fyk = 500 N/mm
Design Yield Stress of Reinforcement fywd = 435 mm
2
Required Shear Reinforcement Asw = 153 mm

Calculation of Minimum Shear Reinforcement as per Chapter 16 of IRC 112


2
Characteristic Strength of Concrete fck = 50 N/mm
2
Yield Strength of Steel fyk = 500 N/mm
Minimum Shear Reinforcement Ratio ρw,min = 0.001018
Angle Between Shear Reinforcement and Longitudinal Axis α = 90 Deg
Width of Member bw = 2500 mm
Adopted Spacing S = 150 mm
2
Minimum Shear Reinforcement Area Asw,min = 382 mm

___________________________________________________________________________________________________________________
74
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
2 SLS RARE DESIGN FORCES FOR P1, PIER TOP ANALYSIS MODEL ELEMENT NO. 1002
The SLS Rare stress checks are done for short term modulus of elasticity.
2
Modulus of Elasticity of Concrete = 35000 N/mm
2
Modulus of Elasticity of Steel = 200000 N/mm
Modular Ratio m = 5.71

Allowable Stresses
2
Permissible Stress in Concrete = 24 N/mm
2
Permissible Stress in Steel = 400 N/mm

Inc. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS Rare Comb 1 3907 7089 298 329 7 7285 495
2 SLS Rare Comb 2 3504 8039 518 360 8 8215 695
3 SLS Rare Comb 3 3504 8039 518 360 8 8215 695
4 SLS Rare Comb 4 4267 7009 5 301 0 7224 220
5 SLS Rare Comb 5 3938 6132 89 256 2 6330 287
6 SLS Rare Comb 6 3938 6478 298 298 7 6676 496
7 SLS Rare Comb 7 3850 6927 298 323 7 7121 492
8 SLS Rare Comb 8 3447 7877 518 354 8 8050 692
9 SLS Rare Comb 9 3447 7877 518 354 8 8050 692
10 SLS Rare Comb 10 4211 6847 5 296 0 7059 217
11 SLS Rare Comb 11 3881 5970 89 250 2 6166 284
12 SLS Rare Comb 12 3850 6927 298 323 7 7121 492
13 SLS Rare Comb 13 3788 7049 220 329 5 7240 411
14 SLS Rare Comb 14 3486 7762 385 352 6 7937 560
15 SLS Rare Comb 15 3486 7762 385 352 6 7937 560
16 SLS Rare Comb 16 4059 6989 0 308 0 7194 204
17 SLS Rare Comb 17 3840 5772 63 246 1 5965 256
18 SLS Rare Comb 18 3495 5738 0 269 0 5914 176
19 SLS Rare Comb 19 3731 6887 220 323 5 7075 408
20 SLS Rare Comb 20 3429 7600 385 347 6 7772 558
21 SLS Rare Comb 21 3429 7600 385 347 6 7772 558
22 SLS Rare Comb 22 4002 6828 0 303 0 7029 201
23 SLS Rare Comb 23 3784 5610 63 241 1 5800 254
24 SLS Rare Comb 24 3438 5576 0 263 0 5749 173
25 SLS Rare Comb 25 4034 7765 312 357 76 7969 515
26 SLS Rare Comb 26 3631 8715 531 388 78 8898 714
27 SLS Rare Comb 27 3631 8715 531 388 78 8898 714
28 SLS Rare Comb 28 4395 7686 18 329 70 7907 239
29 SLS Rare Comb 29 3938 6132 89 256 2 6330 287
30 SLS Rare Comb 30 4034 7765 312 357 76 7969 515
31 SLS Rare Comb 31 3977 7604 312 352 76 7804 512
32 SLS Rare Comb 32 3574 8554 531 383 78 8733 711
33 SLS Rare Comb 33 3574 8554 531 383 78 8733 711
34 SLS Rare Comb 34 4338 7524 18 324 70 7742 237
35 SLS Rare Comb 35 3881 5970 89 250 2 6166 284
36 SLS Rare Comb 36 3977 7604 312 352 76 7804 512
37 SLS Rare Comb 37 4000 8187 247 376 121 8388 448
38 SLS Rare Comb 38 3698 8899 412 399 122 9086 598
39 SLS Rare Comb 39 3698 8899 412 399 122 9086 598
40 SLS Rare Comb 40 4271 8127 27 355 116 8342 242
41 SLS Rare Comb 41 4000 7928 90 344 117 8129 292
42 SLS Rare Comb 42 4000 8187 247 376 121 8388 448
43 SLS Rare Comb 43 3943 8025 247 371 121 8224 446
44 SLS Rare Comb 44 3641 8738 412 394 122 8921 595
45 SLS Rare Comb 45 3641 8738 412 394 122 8921 595
46 SLS Rare Comb 46 4214 7965 27 350 116 8177 239
47 SLS Rare Comb 47 3943 7766 90 339 117 7964 289

___________________________________________________________________________________________________________________
75
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
48 SLS Rare Comb 48 3943 8025 247 371 121 8224 446
49 SLS Rare Comb 49 3735 7237 33 333 137 7425 221
50 SLS Rare Comb 50 3735 7237 33 333 137 7425 221
51 SLS Rare Comb 51 3735 7237 33 333 137 7425 221
52 SLS Rare Comb 52 3735 7237 33 333 137 7425 221
53 SLS Rare Comb 53 3735 7237 33 333 137 7425 221
54 SLS Rare Comb 54 3735 7237 33 333 137 7425 221
55 SLS Rare Comb 55 3678 7076 33 327 137 7261 218
56 SLS Rare Comb 56 3678 7076 33 327 137 7261 218
57 SLS Rare Comb 57 3678 7076 33 327 137 7261 218
58 SLS Rare Comb 58 3678 7076 33 327 137 7261 218
59 SLS Rare Comb 59 3678 7076 33 327 137 7261 218
60 SLS Rare Comb 60 3678 7076 33 327 137 7261 218
Max Values 4395 8715 531 388 78 8898 714
The Sorting of SLS Rare Design Forces is done as follows:
1. Maximum Axial Force and Resultant Moment
2. Minimum Axial Force and Minimum Moment
3. Maximum Resultant Moment and Corresponding Axial Force.

Max. Compression Stress 8.969 Mpa


Governing Load Combination SLS Rare Comb 55
Allowable Compression Stress 24 Mpa

Max. Tension Stress 65.39 Mpa


Governing Load Combination SLS Rare Comb 1
Allowable Compression Stress 400 Mpa

___________________________________________________________________________________________________________________
76
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

3 SLS QUASI PERMANENT FORCES FOR P1, PIER TOP ANALYSIS MODEL ELEMENT NO. 1002
The SLS Rare stress checks are done for both short term and long term modulus of elasticity.
2
Modulus of Elasticity of Concrete = 35000 N/mm
2
Modulus of Elasticity of Steel = 200000 N/mm
Modular Ratio m Short Term = 5.71
Creep Coefficient for Piles = 1.5
Modular Ratio m Long Term = 14.3
Inc. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS QP Comb 1 3521 5229 0 244 0 5406 177
2 SLS QP Comb 2 3521 5229 0 244 0 5406 177

___________________________________________________________________________________________________________________
77
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
CRACK WIDTH CHECK FOR P1, PIER TOP ANALYSIS MODEL ELEMENT NO. 1002
The calculation of crack width is done as per cl. 12.3.4 of IRC 112.
The crack width Wk is computed as
Crack Width, Wk = Sr,max (εsm - εcm)
where,
εsm = Mean Strain in Reinforcement Under Loads
εcm = Mean Strain in the Concrete between Cracks

where,
σsc = Stress in Tension Reinforcement
αe = Es/Ecm Long Term is Adopted
εcm = Mean Strain in the Concrete between Cracks
Es = Modulus of Elasticity of Steel
Ecm = Modulus of Elasticity of Concrete
ρp,eff = As/Ac,eff
Ac,eff = Effective Area of Concrete in Tension Surrounding
Ac,eff the reinforcement of Depth hcef
hcef = Lesser of 2.5(h-d);(h-x)/3;h/2
kt = Factor Dependent on Duration of Load

k1 = Factor for Bond Properties of the Bonded Reinf.


k1 = 0.8
k2 = Coefficient which takes account of the distribution of
strain
k2 = 0.5 For Bending
Allowable Crack Width Wk = 0.3 mm
Clear Cover = 50 mm
Diameter of Link = 20 mm
Total Cover For Longitudinal Reinforcement = 70 mm
Clear Cover Adopted for Crack Width Calculation c = 50 mm
As per cl. 12.3.4 of IRC 112
Maximum Bar Spacing S = 150 mm
Reinforcement Diameter φ = 32 mm
Check for Sr,max calculation 5 (c+φ /2) = 330 mm
Maximum Crack Spacing Sr,max = 3.4 c + .425 k1 k2 φ / ρeff
k1 k1 = 0.8
k2 k2 = 0.5
Depth of Neutral Axis x = 130 mm
2
Ac,eff Ac,eff = 165000 mm
Ac,eff = 0 implies, no part of section is in tension for the given loading
2
Reinforcement Area As = 363825 mm
Reinforcement Ratio ρeff = 2.2050
Maximum Crack Spacing Sr,max = 172.5 mm
2
Max Stress in Reinforcement σsc = 0 N/mm
2
fct,eff fct,eff = 2.5 N/mm
Creep Coefficient φc = 1.5
αs αs = 14.3
kt kt = 0.5
(εsm - εcm) (εsm - εcm) = 0
Crack Width Wk = 0.00 mm OK

___________________________________________________________________________________________________________________
78
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

14 DESIGN OF P1, PIER BOTTOM


The Design of Pier is done for the Following Limit States:
1. Ultimate Limit State
Ultimate Limit State is done for the Flexure as well as Shear.
2. Serviceability Limit State
The maximum stress in concrete and reinforcement is checked in this limit state.
The crack width check is also done.

14.1 SECTION PARAMETERS OF P1, PIER BOTTOM


Pier to be Designed P1, Pier Bottom
Analysis Model Element No. = 1014
2
Concrete Grade = 50 N/mm
2
Reinforcement Grade = 500 N/mm
Width of Pier = 5250 mm
Length of Pier = 4500 mm
Effective Cover = 98 mm
2
Reinforcement = 363825 mm
Reinforcement % = 2.31 %
2
Modulus of Elasticity of Pier = 35000 N/mm
Creep Coefficient = 1.5
Modular Ratio Short Term = 5.71
Modular Ratio Long Term = 14.3

14.2 ULS DESIGN FORCES OF P1, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 1014

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 7733 6515 585 431 75 6515 585
2 ULS Comb 2 7722 9055 585 334 75 9055 585
3 ULS Comb 3 7128 7101 785 477 77 7101 785
4 ULS Comb 4 8274 7931 318 389 65 7931 318
5 ULS Comb 5 7596 7369 356 354 66 7369 356
6 ULS Comb 6 7733 6515 585 431 75 6515 585
7 ULS Comb 7 5778 6268 585 406 75 6268 585
8 ULS Comb 8 5767 8808 585 309 75 8808 585
9 ULS Comb 9 5174 6855 785 452 77 6855 785
10 ULS Comb 10 6056 7197 318 346 65 7197 318
11 ULS Comb 11 5641 7122 356 329 66 7122 356
12 ULS Comb 12 5778 6268 585 406 75 6268 585
13 ULS Comb 13 7565 7032 523 433 72 7032 523
14 ULS Comb 14 7556 8979 523 359 72 8979 523
15 ULS Comb 15 7101 7481 676 469 74 7481 676
16 ULS Comb 16 7979 8117 318 401 65 8117 318
17 ULS Comb 17 7643 6359 356 308 66 6359 356
18 ULS Comb 18 7643 5349 523 358 72 5349 523
19 ULS Comb 19 5610 6785 523 408 72 6785 523
20 ULS Comb 20 5602 8732 523 334 72 8732 523
21 ULS Comb 21 5147 7234 676 444 74 7234 676
22 ULS Comb 22 6025 7870 318 376 65 7870 318
23 ULS Comb 23 5689 6113 356 283 66 6113 356
24 ULS Comb 24 5689 5102 523 332 72 5102 523

___________________________________________________________________________________________________________________
79
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
25 ULS Comb 25 7924 8859 6311 544 237 8859 6311
26 ULS Comb 26 7912 11399 6311 447 237 11399 6311
27 ULS Comb 27 7319 9445 6511 590 239 9445 6511
28 ULS Comb 28 8202 9788 6044 484 227 9788 6044
29 ULS Comb 29 7643 6359 356 308 66 6359 356
30 ULS Comb 30 7787 8702 6248 516 234 8702 6248
31 ULS Comb 31 5969 8612 6311 519 237 8612 6311
32 ULS Comb 32 5958 11152 6311 422 237 11152 6311
33 ULS Comb 33 5365 9198 6511 565 239 9198 6511
34 ULS Comb 34 6247 9541 6044 459 227 9541 6044
35 ULS Comb 35 5689 6113 356 283 66 6113 356
36 ULS Comb 36 5832 8456 6248 491 234 8456 6248
37 ULS Comb 37 7883 10938 10066 621 342 10938 10066
38 ULS Comb 38 7874 12885 10066 547 342 12885 10066
39 ULS Comb 39 7419 11387 10219 657 344 11387 10219
40 ULS Comb 40 8298 12024 9861 589 335 12024 9861
41 ULS Comb 41 7643 6359 356 308 66 6359 356
42 ULS Comb 42 7883 10938 10066 621 342 10938 10066
43 ULS Comb 43 5928 10691 10066 596 342 10691 10066
44 ULS Comb 44 5920 12638 10066 522 342 12638 10066
45 ULS Comb 45 5465 11141 10219 632 344 11141 10219
46 ULS Comb 46 6343 11777 9861 564 335 11777 9861
47 ULS Comb 47 5689 6113 356 283 66 6113 356
48 ULS Comb 48 5928 10691 10066 596 342 10691 10066
49 ULS Comb 49 6951 10781 11516 524 381 10781 11516
50 ULS Comb 50 6951 10781 11516 524 381 10781 11516
51 ULS Comb 51 6951 10781 11516 524 381 10781 11516
52 ULS Comb 52 6951 10781 11516 524 381 10781 11516
53 ULS Comb 53 6951 10781 11516 524 381 10781 11516
54 ULS Comb 54 6951 10781 11516 524 381 10781 11516
55 ULS Comb 55 4997 10534 11516 499 381 10534 11516
56 ULS Comb 56 4997 10534 11516 499 381 10534 11516
57 ULS Comb 57 4997 10534 11516 499 381 10534 11516
58 ULS Comb 58 4997 10534 11516 499 381 10534 11516
59 ULS Comb 59 4997 10534 11516 499 381 10534 11516
60 ULS Comb 60 4997 10534 11516 499 381 10534 11516
61 ULS Comb 61 7475 11356 11516 573 381 11356 11516
62 ULS Comb 62 7475 11356 11516 573 381 11356 11516
63 ULS Comb 63 7475 11356 11516 573 381 11356 11516
64 ULS Comb 64 7475 11356 11516 573 381 11356 11516
65 ULS Comb 65 7475 11356 11516 573 381 11356 11516
66 ULS Comb 66 5520 11109 11516 548 381 11109 11516
67 ULS Comb 67 5520 11109 11516 548 381 11109 11516
68 ULS Comb 68 5520 11109 11516 548 381 11109 11516
69 ULS Comb 69 5520 11109 11516 548 381 11109 11516
70 ULS Comb 70 5520 11109 11516 548 381 11109 11516
71 ULS Comb 71 5520 11109 11516 548 381 11109 11516
72 ULS Comb 72 5520 11109 11516 548 381 11109 11516
73 ULS Comb 73 6772 20920 3650 945 155 20920 3650
74 ULS Comb 74 6771 21259 3650 932 155 21259 3650
75 ULS Comb 75 6692 20998 3677 952 155 20998 3677
76 ULS Comb 76 6844 21109 3614 940 153 21109 3614
77 ULS Comb 77 6772 20920 3650 945 155 20920 3650
78 ULS Comb 78 4740 20584 3614 904 153 20584 3614
79 ULS Comb 79 5540 17830 3650 714 155 17830 3650
80 ULS Comb 80 5538 18168 3650 701 155 18168 3650
81 ULS Comb 81 5459 17908 3677 720 155 17908 3677
82 ULS Comb 82 5612 18019 3614 708 153 18019 3614
83 ULS Comb 83 5540 17830 3650 714 155 17830 3650
84 ULS Comb 84 5462 17740 3614 698 153 17740 3614
85 ULS Comb 85 6851 11110 11341 571 361 11110 11341

___________________________________________________________________________________________________________________
80
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
86 ULS Comb 86 6850 11449 11341 558 361 11449 11341
87 ULS Comb 87 6770 11188 11368 577 361 11188 11368
88 ULS Comb 88 6923 11299 11306 565 360 11299 11306
89 ULS Comb 89 6773 11021 11306 555 360 11021 11306
90 ULS Comb 90 6851 11110 11341 571 361 11110 11341
91 ULS Comb 91 5619 8020 11341 339 361 8020 11341
92 ULS Comb 92 5617 8359 11341 326 361 8359 11341
93 ULS Comb 93 5538 8098 11368 345 361 8098 11368
94 ULS Comb 94 5691 8209 11306 333 360 8209 11306
95 ULS Comb 95 5541 7930 11306 323 360 7930 11306
96 ULS Comb 96 5619 8020 11341 339 361 8020 11341
97 ULS Comb 97 6009 14428 3650 812 155 14428 3650
98 ULS Comb 98 6007 14766 3650 799 155 14766 3650
99 ULS Comb 99 5928 14506 3677 818 155 14506 3677
100 ULS Comb 100 5930 14338 3614 796 153 14338 3614
101 ULS Comb 101 5930 14338 3614 796 153 14338 3614
102 ULS Comb 102 3976 14091 3614 771 153 14091 3614
103 ULS Comb 103 6461 4703 3650 98 155 4703 3650
104 ULS Comb 104 6460 5041 3650 85 155 5041 3650
105 ULS Comb 105 6381 4781 3677 104 155 4781 3677
106 ULS Comb 106 6383 4613 3614 82 153 4613 3614
107 ULS Comb 107 6383 4613 3614 82 153 4613 3614
108 ULS Comb 108 6383 4613 3614 82 153 4613 3614
109 ULS Comb 109 5291 5238 354 282 66 5238 354
110 ULS Comb 110 5290 5576 354 269 66 5576 354
111 ULS Comb 111 5211 5316 380 288 66 5316 380
112 ULS Comb 112 5364 5426 318 276 65 5426 318
113 ULS Comb 113 5318 4852 325 248 65 4852 325
114 ULS Comb 114 5291 5238 354 282 66 5238 354
Max Values 8298 21259 11516 952 381 21259 11516

___________________________________________________________________________________________________________________
81
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
14.3 CALCULATION OF ADDITIONAL ECCENTRICITY OF P1, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 1014
Calculation of Additional Eccentricity due to Geometric Imperfection
The additional eccentricity due to imperfections is obtained from cl. 11.3.2.2 of IRC 112.
The additional eccentricity is calculated as per the expression shown below.
Additional Eccentricity e = 15 + Lo/800
where,
Lo is the Height of the Pier
Lo = 44948 mm
Additional Eccentricity (Geometric Imperfection) e = 71.19 mm

Calculation of Additional Eccentricity due to Slenderness Effects


The additional eccentricity due to Slenderness Effects is computed as per cl. 11.2 of IRC 112 2020.
Determination of Slenderness Ratio
The slenderness ratio is defined as:
λ = Le/i
Where
λ is the slenderness ratio
Le is the effective length
i is the radius of gyration of the uncracked concrete section
The Effective Length is obtained from Table 11.1 of IRC 112 2020.
Direction Longitudinal Transverse
FRL-Open Foundation Top 51.20 51.20 m
Depth of Structure
Clear Height of Pier Column 44.95 51.20 m
Factor 1.5 2.3
Le 67 118 m
Width of Pier 5.3 4.5 m
Length of Pier 4.5 5.3 m
Clear Distance Between Piers NA NA m
2
Area 15.75 15.75 m
4
Moment of Inertia 38.77 47.20 m
i 1.569 1.731 m
λ 42.98 68.02
The limitation of λ is obtained from equation 11.1 of IRC 112 2011
λlim = 20 x A x B x C / sqrt(n)
Calculation of rm
rm = M1/M2
M1 -797 178 ton m
Moment at one end
M2 -797 178 ton m
Moment at other end
Condition Unbraced Unbraced
rm 1.00 1.00
C= 0.70 0.70
Reinf. Percentage 2.31 2.31
Cross Section Area 15750000 15750000
Area of Reinforcement 363825 363825
Fyd 435 435
Ac 15750000 15750000
Fcd 22 22
Mechanical reinforcement Ratio 0.452 0.452
B 1.380 1.380
M Quasi 5072 0 ton m
M ULS 21259 11516 ton m
φ 2 2
φeff 0.358 0.000
A 0.736 1.000
Ned 8298 8298 tons
n 0.232 0.232
λlim = 29.513 40.075

___________________________________________________________________________________________________________________
82
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Slender Slender

Calculation of Additional Eccentricity


The additional eccentricity is computed as per cl. 11.3.2.2 of IRC 112.
2
e = 1/r x Le / c
1/r = KrKΦ 1/r0
Kr = (nu -n)/(nu-nbal)
n= 0.232 0.232
nu = 1.452 1.452
nbal 0.40 0.40
Kr = 1.000 1.000
KΦ = 1 + βΦeff
β 0.313 0.147
KΦ = 1.112 1.000
1/r0 = εyd/.45d
d = h/2 + i
Width of Column 5250 4500
Length of Column 4500 5250
d= 3300 3863
1/r0 = 0.00000146 0.00000125
1/r = 0.00000163 0.00000125
e= 740.478 1735.162

The additional eccentricity is required to be adopted only if the column is under the Slender category
Add. Eccentricity due to Slenderness Long. eLong. = 740 mm
Add. Eccentricity due to Slenderness Trans eTrans. = 1735 mm
Add. Resultant Eccentricity eRes = 1887 mm
Note: Axial Load is taken at Mid Pier Height for the Calculation of Additional Moment.

___________________________________________________________________________________________________________________
83
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
14.4 ULS FLEXURE DESIGN CHECK FOR P1, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 1014
The ULS Flexure check is done with PM Interaction.
The MR includes additional moment due to imperfections and additional eccentricity effect due to Slenderness
ML, incl add. MT, incl add.
Load Combination P Ecc and Ecc and MLC MTC Load Combination
S.No. MR/MRC UR
Slenderness Slenderness Description
Units t tm tm tm tm
1 ULS Comb 1 7733 13887 16990 28639 28737 0.54

DL + SIDL Axial Load Adding and


Live Load Leading and Thermal
2 ULS Comb 2 7722 15959 15949 25582 31094 0.56
3 ULS Comb 3 7128 14003 16146 27512 29232 0.53

ULS COMBINATIONS
4 ULS Comb 4 8274 15738 17693 27585 29889 0.58

Relieving Effect
Accompanying
5 ULS Comb 5 7596 14638 16533 27396 29633 0.55
6 ULS Comb 6 7733 13887 16990 28639 28737 0.54
0.58
7 ULS Comb 7 5778 11769 12826 25973 29394 0.44
8 ULS Comb 8 5767 13841 11786 22027 32148 0.47
9 ULS Comb 9 5174 11886 11982 24369 30044 0.44
10 ULS Comb 10 6056 12924 13064 24926 30393 0.47
11 ULS Comb 11 5641 12520 12370 24325 30486 0.45
12 ULS Comb 12 5778 11769 12826 25973 29394 0.44
13 ULS Comb 13 7565 14267 16625 27856 29258 0.54

DL + SIDL Axial Load Adding and


14 ULS Comb 14 7556 15856 15828 25486 31054 0.56

Live Load Accompanying and


15 ULS Comb 15 7101 14357 15978 26960 29645 0.54

ULS COMBINATIONS
16 ULS Comb 16 7979 15687 17164 27070 30123 0.57

Thermal Leading

Relieving Effect
17 ULS Comb 17 7643 13671 16627 28516 28773 0.53
18 ULS Comb 18 7643 12655 16782 29752 27733 0.52
0.57
19 ULS Comb 19 5610 12150 12462 24908 30038 0.45
20 ULS Comb 20 5602 13738 11664 21868 32096 0.46
21 ULS Comb 21 5147 12239 11815 23649 30525 0.44
22 ULS Comb 22 6025 13569 13001 24057 30995 0.48
23 ULS Comb 23 5689 11553 12464 25755 29477 0.43
24 ULS Comb 24 5689 10537 12619 27392 28204 0.42
25 ULS Comb 25 7924 16381 23050 30666 27120 0.69

DL + SIDL Axial Load Adding and


26 ULS Comb 26 7912 18453 22009 28335 29094 0.71

Live Load Leading and Wind


27 ULS Comb 27 7319 16498 22206 29840 27428 0.68 ULS COMBINATIONS
28 ULS Comb 28 8202 17536 23287 29963 27910 0.71

Relieving Effect
Accompanying
29 ULS Comb 29 7643 13671 16627 28516 28773 0.53
30 ULS Comb 30 7787 16116 22748 30663 27032 0.68
0.71
31 ULS Comb 31 5969 14263 18886 29024 27064 0.60
32 ULS Comb 32 5958 16335 17846 26106 29440 0.61
33 ULS Comb 33 5365 14380 18042 27930 27483 0.59
34 ULS Comb 34 6247 15419 19124 28211 28012 0.62
35 ULS Comb 35 5689 11553 12464 25755 29477 0.43
36 ULS Comb 36 5832 13999 18585 28997 26973 0.59
37 ULS Comb 37 7883 18424 26725 31066 26739 0.79
DL + SIDL Axial Load Adding and

38 ULS Comb 38 7874 20013 25928 29507 28097 0.80


Live Load Accompanying and

39 ULS Comb 39 7419 18514 26078 30508 26914 0.79


ULS COMBINATIONS

40 ULS Comb 40 8298 19844 27264 30457 27538 0.82


Relieving Effect
Wind Leading

41 ULS Comb 41 7643 13671 16627 28516 28773 0.53


42 ULS Comb 42 7883 18424 26725 31066 26739 0.79
0.82
43 ULS Comb 43 5928 16306 22562 29625 26496 0.70
44 ULS Comb 44 5920 17895 21764 27754 28122 0.71
45 ULS Comb 45 5465 16396 21915 28902 26715 0.70
46 ULS Comb 46 6343 17726 23101 28971 27433 0.73
47 ULS Comb 47 5689 11553 12464 25755 29477 0.43
48 ULS Comb 48 5928 16306 22562 29625 26496 0.70

___________________________________________________________________________________________________________________
84
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
49 ULS Comb 49 6951 17527 26531 31291 25840 0.78
50 ULS Comb 50 6951 17527 26531 31291 25840 0.78

DL + SIDL Axial Load Adding


Wind only No Live Load
51 ULS Comb 51 6951 17527 26531 31291 25840 0.78

ULS COMBINATIONS

and Relieving Effect


52 ULS Comb 52 6951 17527 26531 31291 25840 0.78
53 ULS Comb 53 6951 17527 26531 31291 25840 0.78
54 ULS Comb 54 6951 17527 26531 31291 25840 0.78
0.78
55 ULS Comb 55 4997 15410 22367 29819 25422 0.69
56 ULS Comb 56 4997 15410 22367 29819 25422 0.69
57 ULS Comb 57 4997 15410 22367 29819 25422 0.69
58 ULS Comb 58 4997 15410 22367 29819 25422 0.69
59 ULS Comb 59 4997 15410 22367 29819 25422 0.69
60 ULS Comb 60 4997 15410 22367 29819 25422 0.69
61 ULS Comb 61 7475 18520 27459 31215 26313 0.81
62 ULS Comb 62 7475 18520 27459 31215 26313 0.81

DL + SIDL Axial Load Adding


Wind only No Live Load
63 ULS Comb 63 7475 18520 27459 31215 26313 0.81

ULS COMBINATIONS

and Relieving Effect


64 ULS Comb 64 7475 18520 27459 31215 26313 0.81
65 ULS Comb 65 7475 18520 27459 31215 26313 0.81
66 ULS Comb 66 5520 16402 23296 29791 25969 0.72
0.81
67 ULS Comb 67 5520 16402 23296 29791 25969 0.72
68 ULS Comb 68 5520 16402 23296 29791 25969 0.72
69 ULS Comb 69 5520 16402 23296 29791 25969 0.72
70 ULS Comb 70 5520 16402 23296 29791 25969 0.72
71 ULS Comb 71 5520 16402 23296 29791 25969 0.72
72 ULS Comb 72 5520 16402 23296 29791 25969 0.72
73 ULS Comb 73 6772 27510 18316 18947 34822 0.83

Transvesre : 30% : EQ Vertical : Transvesre : 100% : EQ Vertical Transvesre : 30% : EQ Vertical :


Earthquake Combinations EQ
74 ULS Comb 74 6771 27786 18178 18692 34960 0.84

DL + SIDL Axial Load Adding


Longitudinal 100% : EQ
75 ULS Comb 75 6692 27526 18204 18790 34838 0.83

ULS COMBINATIONS

and Relieving Effect


76 ULS Comb 76 6844 27757 18410 18941 34884 0.84
77 ULS Comb 77 6772 27510 18316 18947 34822 0.83
78 ULS Comb 78 4740 25242 13981 14633 34906 0.76

30%
0.84
79 ULS Comb 79 5540 23267 15750 18264 34102 0.73
80 ULS Comb 80 5538 23543 15611 17937 34264 0.73
81 ULS Comb 81 5459 23282 15637 18069 34125 0.73
82 ULS Comb 82 5612 23513 15843 18251 34179 0.73
83 ULS Comb 83 5540 23267 15750 18264 34102 0.73
84 ULS Comb 84 5462 23115 15577 18123 34097 0.72
85 ULS Comb 85 6851 17730 26073 30870 26152 0.78
Earthquake Combinations EQ

86 ULS Comb 86 6850 18006 25934 30589 26403 0.78

DL + SIDL Axial Load Adding


87 ULS Comb 87 6770 17745 25960 30765 26182 0.78
Longitudinal 30% : EQ
ULS COMBINATIONS

and Relieving Effect


88 ULS Comb 88 6923 17977 26166 30762 26310 0.78
89 ULS Comb 89 6773 17579 25900 30867 26093 0.77
: 30%

90 ULS Comb 90 6851 17730 26073 30870 26152 0.78


0.78
91 ULS Comb 91 5619 13486 23506 32512 23424 0.68
92 ULS Comb 92 5617 13762 23367 32183 23754 0.68
93 ULS Comb 93 5538 13502 23393 32401 23456 0.68
94 ULS Comb 94 5691 13733 23600 32377 23645 0.68
95 ULS Comb 95 5541 13335 23334 32524 23338 0.67
96 ULS Comb 96 5619 13486 23506 32512 23424 0.68
97 ULS Comb 97 6009 20210 16519 21530 32654 0.67
Earthquake Combinations EQ

98 ULS Comb 98 6007 20486 16380 21187 32878 0.67


DL + SIDL Axial Load Adding

99 ULS Comb 99 5928 20226 16406 21366 32701 0.67


Longitudinal 30% : EQ
ULS COMBINATIONS

and Relieving Effect

100 ULS Comb 100 5930 20059 16346 21434 32656 0.66
101 ULS Comb 101 5930 20059 16346 21434 32656 0.66
100%

102 ULS Comb 102 3976 17941 12183 16988 33137 0.58
0.67
103 ULS Comb 103 6461 11006 17677 31866 24879 0.52
104 ULS Comb 104 6460 11282 17538 31443 25281 0.52
105 ULS Comb 105 6381 11021 17565 31732 24935 0.51
106 ULS Comb 106 6383 10855 17505 31890 24799 0.51
107 ULS Comb 107 6383 10855 17505 31890 24799 0.51
108 ULS Comb 108 6383 10855 17505 31890 24799 0.51

___________________________________________________________________________________________________________________
85
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
109 ULS Comb 109 5291 10357 11748 26324 28694 0.40

COMBINATION
S ACCIDENTAL

Combinations

Current Load
110 ULS Comb 110 5290 10634 11609 25718 29157 0.40

with Water
Normal
111 ULS Comb 111 5211 10373 11635 26106 28797 0.40

ULS
0.41
112 ULS Comb 112 5364 10604 11842 26119 28922 0.41
113 ULS Comb 113 5318 9997 11773 26933 28250 0.40
114 ULS Comb 114 5291 10357 11748 26324 28694 0.40

Utilization
Max. Utilization Ratio
Ratio
Normal Cases Live Load Leading and Thermal Accompanying = 0.58
Normal Cases Live Load Accompanying and Thermal Leading = 0.57
Normal Cases Live Load Leading and Wind Accompanying = 0.71
Normal Cases Live Load Accompanying and Wind Leading = 0.82
Normal Cases Wind Load Without Live Load = 0.78
Normal Cases Wind Load Without Live Load = 0.81
Seismic Cases EQ Long 100% EQ Trans 30% EQ Vertical 30% = 0.84
Seismic Cases EQ Long 30% EQ Trans 100% EQ Vertical 30% = 0.78
Seismic Cases EQ Long 30% EQ Trans 100% EQ Vertical 30% = 0.67
Accidental Case Barge Impact = 0.41

___________________________________________________________________________________________________________________
86
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
14.5 ULS SHEAR CHECK FOR P1, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 1014
The ULS Shear check is done as per Chapter 10 of IRC 112.
The Shear Check has two components:
1. Section Adequacy: In this check, the adequacy of section is checked for compression failure.
2. Shear Reinforcement: In this check, it is established whether the section needs design shear reinforcement
or the provided longitudinal reinforcement is enough to cater to the Design Shear Force.
If shear reinforcement is required, the same is calculated.
ULS Shear Force is obtained as the following three criterias:
1. ULS Shear Force for R = 1
2. ULS Shear Force from Capacity Design Principles
3. ULS Shear Force from Design Forces without Seismic Effects
The Shear Force for Design is obtained as follows:
Maximum of (3, Minimum of 1 and 2)
Thus, the ULS Shear Forces for R =1 are also required.

ULS FORCES IN PIER FOR R =1


Load Combination P ML MT HL HT Net ML Net MT
S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 8771 9789 1119 431 75 9789 1119
2 ULS Comb 2 8738 17407 1119 334 75 17407 1119
3 ULS Comb 3 6958 11547 1720 477 77 11547 1720
4 ULS Comb 4 10395 14037 318 389 65 14037 318
5 ULS Comb 5 8361 12349 432 354 66 12349 432
6 ULS Comb 6 8771 9789 1119 431 75 9789 1119
7 ULS Comb 7 6817 10035 1119 406 75 10035 1119
8 ULS Comb 8 6783 17654 1119 309 75 17654 1119
9 ULS Comb 9 5003 11794 1720 452 77 11794 1720
10 ULS Comb 10 7651 12822 318 346 65 12822 318
11 ULS Comb 11 6406 12596 432 329 66 12596 432
12 ULS Comb 12 6817 10035 1119 406 75 10035 1119
13 ULS Comb 13 8330 9991 932 433 72 9991 932
14 ULS Comb 14 8304 15832 932 359 72 15832 932
15 ULS Comb 15 6939 11339 1393 469 74 11339 1393
16 ULS Comb 16 9574 13248 318 401 65 13248 318
17 ULS Comb 17 8408 11340 432 308 66 11340 432
18 ULS Comb 18 8408 8309 932 358 72 8309 932
19 ULS Comb 19 6375 10238 932 408 72 10238 932
20 ULS Comb 20 6350 16079 932 334 72 16079 932
21 ULS Comb 21 4985 11586 1393 444 74 11586 1393
22 ULS Comb 22 7620 13495 318 376 65 13495 318
23 ULS Comb 23 6454 11587 432 283 66 11587 432
24 ULS Comb 24 6454 8556 932 332 72 8556 932
25 ULS Comb 25 8962 12132 6845 544 237 12132 6845
26 ULS Comb 26 8929 19751 6845 447 237 19751 6845
27 ULS Comb 27 7149 13891 7446 590 239 13891 7446
28 ULS Comb 28 9797 14919 6044 484 227 14919 6044
29 ULS Comb 29 8408 11340 432 308 66 11340 432
30 ULS Comb 30 8552 11662 6658 516 234 11662 6658
31 ULS Comb 31 7008 12379 6845 519 237 12379 6845
32 ULS Comb 32 6974 19998 6845 422 237 19998 6845
33 ULS Comb 33 5194 14137 7446 565 239 14137 7446
34 ULS Comb 34 7842 15166 6044 459 227 15166 6044
35 ULS Comb 35 6454 11587 432 283 66 11587 432
36 ULS Comb 36 6598 11909 6658 491 234 11909 6658
37 ULS Comb 37 8648 13898 10475 621 342 13898 10475
38 ULS Comb 38 8622 19739 10475 547 342 19739 10475
39 ULS Comb 39 7258 15246 10936 657 344 15246 10936
40 ULS Comb 40 9893 17155 9861 589 335 17155 9861
41 ULS Comb 41 8408 11340 432 308 66 11340 432
42 ULS Comb 42 8648 13898 10475 621 342 13898 10475

___________________________________________________________________________________________________________________
87
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
43 ULS Comb 43 6693 14145 10475 596 342 14145 10475
44 ULS Comb 44 6668 19986 10475 522 342 19986 10475
45 ULS Comb 45 5303 15493 10936 632 344 15493 10936
46 ULS Comb 46 7938 17401 9861 564 335 17401 9861
47 ULS Comb 47 6454 11587 432 283 66 11587 432
48 ULS Comb 48 6693 14145 10475 596 342 14145 10475
49 ULS Comb 49 6818 12710 11516 524 381 12710 11516
50 ULS Comb 50 6818 12710 11516 524 381 12710 11516
51 ULS Comb 51 6818 12710 11516 524 381 12710 11516
52 ULS Comb 52 6818 12710 11516 524 381 12710 11516
53 ULS Comb 53 6818 12710 11516 524 381 12710 11516
54 ULS Comb 54 6818 12710 11516 524 381 12710 11516
55 ULS Comb 55 4864 12957 11516 499 381 12957 11516
56 ULS Comb 56 4864 12957 11516 499 381 12957 11516
57 ULS Comb 57 4864 12957 11516 499 381 12957 11516
58 ULS Comb 58 4864 12957 11516 499 381 12957 11516
59 ULS Comb 59 4864 12957 11516 499 381 12957 11516
60 ULS Comb 60 4864 12957 11516 499 381 12957 11516
61 ULS Comb 61 7342 13286 11516 573 381 13286 11516
62 ULS Comb 62 7342 13286 11516 573 381 13286 11516
63 ULS Comb 63 7342 13286 11516 573 381 13286 11516
64 ULS Comb 64 7342 13286 11516 573 381 13286 11516
65 ULS Comb 65 7342 13286 11516 573 381 13286 11516
66 ULS Comb 66 5387 13532 11516 548 381 13532 11516
67 ULS Comb 67 5387 13532 11516 548 381 13532 11516
68 ULS Comb 68 5387 13532 11516 548 381 13532 11516
69 ULS Comb 69 5387 13532 11516 548 381 13532 11516
70 ULS Comb 70 5387 13532 11516 548 381 13532 11516
71 ULS Comb 71 5387 13532 11516 548 381 13532 11516
72 ULS Comb 72 5387 13532 11516 548 381 13532 11516
73 ULS Comb 73 6570 51056 10314 2016 332 51056 10314
74 ULS Comb 74 6565 52072 10314 2003 332 52072 10314
75 ULS Comb 75 6328 51291 10394 2022 332 51291 10394
76 ULS Comb 76 6786 51623 10207 2010 330 51623 10207
77 ULS Comb 77 6570 51056 10314 2016 332 51056 10314
78 ULS Comb 78 4381 51035 10207 1975 330 51035 10207
79 ULS Comb 79 5338 48460 10314 1784 332 48460 10314
80 ULS Comb 80 5333 49476 10314 1771 332 49476 10314
81 ULS Comb 81 5096 48694 10394 1790 332 48694 10394
82 ULS Comb 82 5554 49026 10207 1778 330 49026 10207
83 ULS Comb 83 5338 48460 10314 1784 332 48460 10314
84 ULS Comb 84 5103 48191 10207 1768 330 48191 10207
85 ULS Comb 85 6807 21627 33388 892 951 21627 33388
86 ULS Comb 86 6802 22643 33388 879 951 22643 33388
87 ULS Comb 87 6565 21862 33468 898 951 21862 33468
88 ULS Comb 88 7023 22194 33281 886 950 22194 33281
89 ULS Comb 89 6572 21359 33281 876 950 21359 33281
90 ULS Comb 90 6807 21627 33388 892 951 21627 33388
91 ULS Comb 91 5574 19031 33388 660 951 19031 33388
92 ULS Comb 92 5570 20047 33388 647 951 20047 33388
93 ULS Comb 93 5333 19265 33468 666 951 19265 33468
94 ULS Comb 94 5791 19597 33281 654 950 19597 33281
95 ULS Comb 95 5340 18762 33281 644 950 18762 33281
96 ULS Comb 96 5574 19031 33388 660 951 19031 33388
97 ULS Comb 97 5964 24945 10314 1133 332 24945 10314
98 ULS Comb 98 5960 25960 10314 1120 332 25960 10314
99 ULS Comb 99 5722 25179 10394 1139 332 25179 10394
100 ULS Comb 100 5730 24676 10207 1117 330 24676 10207
101 ULS Comb 101 5730 24676 10207 1117 330 24676 10207
102 ULS Comb 102 3775 24923 10207 1092 330 24923 10207
103 ULS Comb 103 6417 15713 10314 419 332 15713 10314

___________________________________________________________________________________________________________________
88
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
104 ULS Comb 104 6412 16729 10314 406 332 16729 10314
105 ULS Comb 105 6175 15948 10394 425 332 15948 10394
106 ULS Comb 106 6183 15445 10207 403 330 15445 10207
107 ULS Comb 107 6183 15445 10207 403 330 15445 10207
108 ULS Comb 108 6183 15445 10207 403 330 15445 10207
109 ULS Comb 109 5315 7840 425 282 66 7840 425
110 ULS Comb 110 5310 8856 425 269 66 8856 425
111 ULS Comb 111 5073 8074 505 288 66 8074 505
112 ULS Comb 112 5531 8406 318 276 65 8406 318
113 ULS Comb 113 5341 7806 338 248 65 7806 338
114 ULS Comb 114 5315 7840 425 282 66 7840 425
Max Values 10395 52072 33468 2022 951 52072 33468

The ULS Shear check is done for the Maximum Shear Force obtained. The formulations of cl. 10.3.2 of
IRC 112 are used.
As per IRC 112 cl. 10.3.2, the shear capacity of shear not requiring design shear reinforcement is
.33
VRd,c = (.12K(80ρlfck) + .15 σcp) bwd subject to min. of (vmin + .15 σcp)bwd
Fck = Concrete Compressive Strength
bw = Section Width for Design
D = Total Depth of Section
d = Effective Depth of Section
VEd = ULS Shear Force

Check for Section Adequacy


The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Longitudinal Direction
Maximum Shear Force = 964 t
Shear Force with R =1 = 2022 t
Capacity Moment = 32524 tm
Pier Height = 51.20 m
Design Shear Force = 1271 t
Depth of Section = 5250 mm
Width of the Section Twice the Web Width = 1000 mm
Effective Cover = 98 mm
Effective Depth = 5152 mm

Calculation of Maximum Allowable Shear Force (Corresponding to θ = 45 Degree)


Maximum Shear Capacity Vrd,max = αcw x bw x z x v1 x fcd
(cot θ + tan θ )
Axial Load in Pier DL + SIDL t
State of Stress in Compression Chord σcp = 10.02 N/mm2
Taken for Unfactored DL + SIDL only αcw = 1.00
Width of Section bw = 1000 mm
Effective Depth of Section z = 5152 mm
Lever Arm
2
Compressive Strength fck = 50 N/mm
v1 v1 = 0.503
2
Design Compressive Strength fcd = 22.33 N/mm
Angle of Strut θ = 45 Degrees
Maximum Shear Capacity of Section Vrd,max = 2950 t
OK

___________________________________________________________________________________________________________________
89
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Calculation of Shear Capacity of Section Without Shear Reinforcement as per cl. 10.3.2 of IRC 112
Width of Section b = 1000 mm
Effective Depth of Section d = 5152.0 mm
2
State of Stress in Compression Chord σcp = 10.02 N/mm
K K = 1.197
2
Fck Fck = 50 N/mm
2
Provided Reinforcement (Tension Side) Ast = 181913 mm
Taken as Half of the Reinforcement Provided
2
Area Apier = 5152000 mm
Reinforcement Ratio ρ = 0.03531
2
νmin ν = 0.287 N/mm
2
ν .12K(80xρxFck)^.33 considering Reinforcement ν = 0.748 N/mm
Vrd,c Vrd,c = 1182 t
Design Shear Force Vd = 1271 t
Design Shear Reinforcement

Calculation of Strut Angle for Minimum Shear Reinforcement by equating Vrd,max to VNS
Design Shear Force VNS = 1271 t
Strut Angle for Vrd,max = VNS θ = 12.75 Deg
Minimum Strut Angle as per the Code θ min = 21.8 Deg
Adopted Strut Angle θadopted = 37.5 Deg

Calculation of Shear Reinforcement Required


Design Shear Force VRd,s = 1271 t
Adopted Strut Angle θadopted = 38 Deg
Spacing s = 150 mm
Lever Arm z = 4636.8 mm
2
Yield Stress of Reinforcement fyk = 500 N/mm
Design Yield Stress of Reinforcement fywd = 435 mm
2
Required Shear Reinforcement Asw = 711 mm

Calculation of Minimum Shear Reinforcement as per Chapter 16 of IRC 112


2
Characteristic Strength of Concrete fck = 50 N/mm
2
Yield Strength of Steel fyk = 500 N/mm
Minimum Shear Reinforcement Ratio ρw,min = 0.001018
Angle Between Shear Reinforcement and Longitudinal Axis α = 90 Deg
Width of Member bw = 1000 mm
Adopted Spacing S = 150 mm
2
Minimum Shear Reinforcement Area Asw,min = 153 mm

___________________________________________________________________________________________________________________
90
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Check for Section Adequacy


The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Transverse Direction
Maximum Shear Force = 381 t
Shear Force with R =1 = 951 t
Capacity Moment = 34960 tm
Pier Height = 51.20 m
Design Shear Force = 683 t
Depth of Section = 4500 mm
Width of the Section Taken as Twice the Web Width = 2500 mm
Effective Cover = 98 mm
Effective Depth = 4402 mm

Calculation of Maximum Allowable Shear Force (Corresponding to θ = 45 Degree)


Maximum Shear Capacity Vrd,max = αcw x bw x z x v1 x fcd
(cot θ + tan θ )
Axial Load in Pier DL + SIDL t
State of Stress in Compression Chord σcp = 4.69 N/mm2
Taken for Unfactored DL + SIDL only αcw = 1.21
Width of Section bw = 2500 mm
Effective Depth of Section z = 4402 mm
Lever Arm
2
Compressive Strength fck = 50 N/mm
v1 v1 = 0.503
2
Design Compressive Strength fcd = 22.33 N/mm
Angle of Strut θ = 45 Degrees
Maximum Shear Capacity of Section Vrd,max = 7624 t
OK
Calculation of Shear Capacity of Section Without Shear Reinforcement as per cl. 10.3.2 of IRC 112
Width of Section b = 2500 mm
Effective Depth of Section d = 4402.0 mm
2
State of Stress in Compression Chord σcp = 4.69 N/mm
K K = 1.213
2
Fck Fck = 50 N/mm
2
Provided Reinforcement (Tension Side) Ast = 181913 mm
Taken as Half of the Reinforcement Provided
2
Area Apier = 5152000 mm
Reinforcement Ratio ρ = 0.03531
2
νmin ν = 0.293 N/mm
2
ν .12K(80xρxFck)^.33 considering Reinforcement ν = 0.758 N/mm
Vrd,c Vrd,c = 1639 t
Design Shear Force Vd = 683 t
Since Vrd,c > Vd Provide Minimum Shear Reinforcement

Calculation of Strut Angle for Minimum Shear Reinforcement by equating Vrd,max to VNS
Design Shear Force VNS = 683 t
Strut Angle for Vrd,max = VNS θ = 2.57 Deg
Minimum Strut Angle as per the Code θ min = 21.8 Deg
Adopted Strut Angle θadopted = 37.5 Deg

Calculation of Shear Reinforcement Required


Design Shear Force VRd,s = 683 t
Adopted Strut Angle θadopted = 38 Deg
Spacing s = 150 mm

___________________________________________________________________________________________________________________
91
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Lever Arm z = 3961.8 mm
2
Yield Stress of Reinforcement fyk = 500 N/mm
Design Yield Stress of Reinforcement fywd = 435 mm
2
Required Shear Reinforcement Asw = 447 mm

Calculation of Minimum Shear Reinforcement as per Chapter 16 of IRC 112


2
Characteristic Strength of Concrete fck = 50 N/mm
2
Yield Strength of Steel fyk = 500 N/mm
Minimum Shear Reinforcement Ratio ρw,min = 0.001018
Angle Between Shear Reinforcement and Longitudinal Axis α = 90 Deg
Width of Member bw = 2500 mm
Adopted Spacing S = 150 mm
2
Minimum Shear Reinforcement Area Asw,min = 382 mm

___________________________________________________________________________________________________________________
92
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
2 SLS RARE DESIGN FORCES FOR P1, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 1014
The SLS Rare stress checks are done for short term modulus of elasticity.
2
Modulus of Elasticity of Concrete = 35000 N/mm
2
Modulus of Elasticity of Steel = 200000 N/mm
Modular Ratio m = 5.71

Allowable Stresses
2
Permissible Stress in Concrete = 24 N/mm
2
Permissible Stress in Steel = 400 N/mm

Inc. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS Rare Comb 1 5655 5770 496 356 71 6055 781
2 SLS Rare Comb 2 5648 7463 496 292 71 7748 780
3 SLS Rare Comb 3 5252 6161 630 387 73 6425 894
4 SLS Rare Comb 4 6016 6714 318 328 65 7017 621
5 SLS Rare Comb 5 5687 5976 351 283 66 6262 637
6 SLS Rare Comb 6 5687 5097 496 326 71 5384 782
7 SLS Rare Comb 7 5599 5708 496 351 71 5990 778
8 SLS Rare Comb 8 5591 7401 496 286 71 7683 778
9 SLS Rare Comb 9 5196 6099 630 382 73 6360 891
10 SLS Rare Comb 10 5959 6652 318 323 65 6952 618
11 SLS Rare Comb 11 5630 5914 351 278 66 6197 634
12 SLS Rare Comb 12 5599 5708 496 351 71 5990 778
13 SLS Rare Comb 13 5537 5968 134 329 5 6247 412
14 SLS Rare Comb 14 5531 7238 134 280 5 7516 412
15 SLS Rare Comb 15 5234 6261 234 352 6 6525 497
16 SLS Rare Comb 16 5807 6676 0 308 0 6969 292
17 SLS Rare Comb 17 5589 5505 25 246 1 5787 306
18 SLS Rare Comb 18 5244 5632 0 269 0 5896 264
19 SLS Rare Comb 19 5480 5906 134 323 5 6182 409
20 SLS Rare Comb 20 5474 7176 134 275 5 7451 409
21 SLS Rare Comb 21 5178 6199 234 347 6 6460 494
22 SLS Rare Comb 22 5751 6614 0 303 0 6903 289
23 SLS Rare Comb 23 5532 5443 25 241 1 5722 303
24 SLS Rare Comb 24 5187 5570 0 263 0 5831 261
25 SLS Rare Comb 25 5783 7333 4313 431 179 7624 4604
26 SLS Rare Comb 26 5775 9026 4313 367 179 9317 4604
27 SLS Rare Comb 27 5380 7724 4447 462 181 7994 4718
28 SLS Rare Comb 28 6143 8277 4135 403 173 8586 4444
29 SLS Rare Comb 29 5687 5976 351 283 66 6262 637
30 SLS Rare Comb 30 5783 7333 4313 431 179 7624 4604
31 SLS Rare Comb 31 5726 7271 4313 426 179 7559 4601
32 SLS Rare Comb 32 5718 8964 4313 361 179 9252 4601
33 SLS Rare Comb 33 5323 7661 4447 457 181 7929 4715
34 SLS Rare Comb 34 6087 8215 4135 398 173 8521 4442
35 SLS Rare Comb 35 5630 5914 351 278 66 6197 634
36 SLS Rare Comb 36 5726 7271 4313 426 179 7559 4601
37 SLS Rare Comb 37 5749 8711 6813 482 250 9001 7103
38 SLS Rare Comb 38 5743 9981 6813 433 250 10270 7103
39 SLS Rare Comb 39 5447 9004 6914 505 251 9279 7188
40 SLS Rare Comb 40 6019 9419 6680 461 245 9722 6983
41 SLS Rare Comb 41 5749 9370 6705 449 246 9660 6994
42 SLS Rare Comb 42 5749 8711 6813 482 250 9001 7103
43 SLS Rare Comb 43 5692 8649 6813 476 250 8936 7100
44 SLS Rare Comb 44 5687 9919 6813 428 250 10205 7100
45 SLS Rare Comb 45 5390 8942 6914 499 251 9213 7185
46 SLS Rare Comb 46 5963 9357 6680 455 245 9657 6980
47 SLS Rare Comb 47 5692 9308 6705 444 246 9595 6991

___________________________________________________________________________________________________________________
93
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
48 SLS Rare Comb 48 5692 8649 6813 476 250 8936 7100
49 SLS Rare Comb 49 5483 8997 7784 451 276 9273 8060
50 SLS Rare Comb 50 5483 8997 7784 451 276 9273 8060
51 SLS Rare Comb 51 5483 8997 7784 451 276 9273 8060
52 SLS Rare Comb 52 5483 8997 7784 451 276 9273 8060
53 SLS Rare Comb 53 5483 8997 7784 451 276 9273 8060
54 SLS Rare Comb 54 5483 8997 7784 451 276 9273 8060
55 SLS Rare Comb 55 5427 8935 7784 445 276 9208 8057
56 SLS Rare Comb 56 5427 8935 7784 445 276 9208 8057
57 SLS Rare Comb 57 5427 8935 7784 445 276 9208 8057
58 SLS Rare Comb 58 5427 8935 7784 445 276 9208 8057
59 SLS Rare Comb 59 5427 8935 7784 445 276 9208 8057
60 SLS Rare Comb 60 5427 8935 7784 445 276 9208 8057
Max Values 6143 9026 4447 462 181 9317 4718
The Sorting of SLS Rare Design Forces is done as follows:
1. Maximum Axial Force and Resultant Moment
2. Minimum Axial Force and Minimum Moment
3. Maximum Resultant Moment and Corresponding Axial Force.

Max. Compression Stress 14.91 Mpa


Governing Load Combination SLS Rare Comb 38
Allowable Compression Stress 24 Mpa

Max. Tension Stress 72.86 Mpa


Governing Load Combination SLS Rare Comb 55
Allowable Compression Stress 400 Mpa

___________________________________________________________________________________________________________________
94
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

3 SLS QUASI PERMANENT FORCES FOR P1, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 1014
The SLS Rare stress checks are done for both short term and long term modulus of elasticity.
2
Modulus of Elasticity of Concrete = 35000 N/mm
2
Modulus of Elasticity of Steel = 200000 N/mm
Modular Ratio m Short Term = 5.71
Creep Coefficient for Piles = 1.5
Modular Ratio m Long Term = 14.3
Inc. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS QP Comb 1 5270 5072 0 244 0 5337 265
2 SLS QP Comb 2 5270 5072 0 244 0 5337 265

___________________________________________________________________________________________________________________
95
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
CRACK WIDTH CHECK FOR P1, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 1014
The calculation of crack width is done as per cl. 12.3.4 of IRC 112.
The crack width Wk is computed as
Crack Width, Wk = Sr,max (εsm - εcm)
where,
εsm = Mean Strain in Reinforcement Under Loads
εcm = Mean Strain in the Concrete between Cracks

where,
σsc = Stress in Tension Reinforcement
αe = Es/Ecm Long Term is Adopted
εcm = Mean Strain in the Concrete between Cracks
Es = Modulus of Elasticity of Steel
Ecm = Modulus of Elasticity of Concrete
ρp,eff = As/Ac,eff
Ac,eff = Effective Area of Concrete in Tension Surrounding
Ac,eff the reinforcement of Depth hcef
hcef = Lesser of 2.5(h-d);(h-x)/3;h/2
kt = Factor Dependent on Duration of Load

k1 = Factor for Bond Properties of the Bonded Reinf.


k1 = 0.8
k2 = Coefficient which takes account of the distribution of
strain
k2 = 0.5 For Bending
Allowable Crack Width Wk = 0.3 mm
Clear Cover = 50 mm
Diameter of Link = 20 mm
Total Cover For Longitudinal Reinforcement = 70 mm
Clear Cover Adopted for Crack Width Calculation c = 50 mm
As per cl. 12.3.4 of IRC 112
Maximum Bar Spacing S = 150 mm
Reinforcement Diameter φ = 32 mm
Check for Sr,max calculation 5 (c+φ /2) = 330 mm
Maximum Crack Spacing Sr,max = 3.4 c + .425 k1 k2 φ / ρeff
k1 k1 = 0.8
k2 k2 = 0.5
Depth of Neutral Axis x = 130 mm
2
Ac,eff Ac,eff = 165000 mm
Ac,eff = 0 implies, no part of section is in tension for the given loading
2
Reinforcement Area As = 363825 mm
Reinforcement Ratio ρeff = 2.2050
Maximum Crack Spacing Sr,max = 172.5 mm
2
Max Stress in Reinforcement σsc = 0 N/mm
2
fct,eff fct,eff = 2.5 N/mm
Creep Coefficient φc = 1.5
αs αs = 14.3
kt kt = 0.5
(εsm - εcm) (εsm - εcm) = 0
Crack Width Wk = 0.00 mm OK

___________________________________________________________________________________________________________________
96
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

15 DESIGN OF P2, PIER TOP


The Design of Pier is done for the Following Limit States:
1. Ultimate Limit State
Ultimate Limit State is done for the Flexure as well as Shear.
2. Serviceability Limit State
The maximum stress in concrete and reinforcement is checked in this limit state.
The crack width check is also done.

15.1 SECTION PARAMETERS OF P2, PIER TOP


Pier to be Designed P2, Pier Top
Analysis Model Element No. = 2002
2
Concrete Grade = 50 N/mm
2
Reinforcement Grade = 500 N/mm
Width of Pier = 5250 mm
Length of Pier = 4500 mm
Effective Cover = 98 mm
2
Reinforcement = 363825 mm
Reinforcement % = 2.31 %
2
Modulus of Elasticity of Pier = 35000 N/mm
Creep Coefficient = 1.5
Modular Ratio Short Term = 5.71
Modular Ratio Long Term = 14.3

15.2 ULS DESIGN FORCES OF P2, PIER TOP ANALYSIS MODEL ELEMENT NO. 2002

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 5372 12515 433 412 10 12515 433
2 ULS Comb 2 5372 12515 433 412 10 12515 433
3 ULS Comb 3 4777 9118 755 299 14 9118 755
4 ULS Comb 4 5912 13270 3 416 1 13270 3
5 ULS Comb 5 5236 11942 100 384 2 11942 100
6 ULS Comb 6 5372 12515 433 412 10 12515 433
7 ULS Comb 7 4029 11604 433 387 10 11604 433
8 ULS Comb 8 4029 11604 433 387 10 11604 433
9 ULS Comb 9 3434 8208 755 274 14 8208 755
10 ULS Comb 10 4307 11177 3 360 1 11177 3
11 ULS Comb 11 3893 11032 100 359 2 11032 100
12 ULS Comb 12 4029 11604 433 387 10 11604 433
13 ULS Comb 13 5204 12365 332 412 8 12365 332
14 ULS Comb 14 5204 12365 332 412 8 12365 332
15 ULS Comb 15 4748 9761 579 326 11 9761 579
16 ULS Comb 16 5618 12944 3 415 1 12944 3
17 ULS Comb 17 5283 10657 100 339 2 10657 100
18 ULS Comb 18 5283 10223 332 336 8 10223 332
19 ULS Comb 19 3861 11454 332 387 8 11454 332
20 ULS Comb 20 3861 11454 332 387 8 11454 332
21 ULS Comb 21 3405 8850 579 300 11 8850 579
22 ULS Comb 22 4276 12033 3 390 1 12033 3
23 ULS Comb 23 3940 9747 100 314 2 9747 100
24 ULS Comb 24 3940 9313 332 311 8 9313 332

___________________________________________________________________________________________________________________
97
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
25 ULS Comb 25 5560 12768 723 384 39 12768 723
26 ULS Comb 26 5560 12768 723 384 39 12768 723
27 ULS Comb 27 4965 9371 1045 271 43 9371 1045
28 ULS Comb 28 5838 12340 294 357 30 12340 294
29 ULS Comb 29 5283 10657 100 339 2 10657 100
30 ULS Comb 30 5424 11761 623 354 37 11761 623
31 ULS Comb 31 4217 11857 723 359 39 11857 723
32 ULS Comb 32 4217 11857 723 359 39 11857 723
33 ULS Comb 33 3623 8461 1045 246 43 8461 1045
34 ULS Comb 34 4495 11430 294 332 30 11430 294
35 ULS Comb 35 3940 9747 100 314 2 9747 100
36 ULS Comb 36 4081 10851 623 329 37 10851 623
37 ULS Comb 37 5517 12786 817 366 56 12786 817
38 ULS Comb 38 5517 12786 817 366 56 12786 817
39 ULS Comb 39 5062 10182 1064 279 59 10182 1064
40 ULS Comb 40 5932 13366 488 369 49 13366 488
41 ULS Comb 41 5283 10657 100 339 2 10657 100
42 ULS Comb 42 5517 12786 817 366 56 12786 817
43 ULS Comb 43 4175 11876 817 341 56 11876 817
44 ULS Comb 44 4175 11876 817 341 56 11876 817
45 ULS Comb 45 3719 9272 1064 254 59 9272 1064
46 ULS Comb 46 4589 12455 488 344 49 12455 488
47 ULS Comb 47 3940 9747 100 314 2 9747 100
48 ULS Comb 48 4175 11876 817 341 56 11876 817
49 ULS Comb 49 4588 8153 569 224 59 8153 569
50 ULS Comb 50 4588 8153 569 224 59 8153 569
51 ULS Comb 51 4588 8153 569 224 59 8153 569
52 ULS Comb 52 4588 8153 569 224 59 8153 569
53 ULS Comb 53 4588 8153 569 224 59 8153 569
54 ULS Comb 54 4588 8153 569 224 59 8153 569
55 ULS Comb 55 3246 7243 569 199 59 7243 569
56 ULS Comb 56 3246 7243 569 199 59 7243 569
57 ULS Comb 57 3246 7243 569 199 59 7243 569
58 ULS Comb 58 3246 7243 569 199 59 7243 569
59 ULS Comb 59 3246 7243 569 199 59 7243 569
60 ULS Comb 60 3246 7243 569 199 59 7243 569
61 ULS Comb 61 5111 9913 569 273 59 9913 569
62 ULS Comb 62 5111 9913 569 273 59 9913 569
63 ULS Comb 63 5111 9913 569 273 59 9913 569
64 ULS Comb 64 5111 9913 569 273 59 9913 569
65 ULS Comb 65 5111 9913 569 273 59 9913 569
66 ULS Comb 66 3768 9003 569 248 59 9003 569
67 ULS Comb 67 3768 9003 569 248 59 9003 569
68 ULS Comb 68 3768 9003 569 248 59 9003 569
69 ULS Comb 69 3768 9003 569 248 59 9003 569
70 ULS Comb 70 3768 9003 569 248 59 9003 569
71 ULS Comb 71 3768 9003 569 248 59 9003 569
72 ULS Comb 72 3768 9003 569 248 59 9003 569
73 ULS Comb 73 4527 15872 362 583 47 15872 362
74 ULS Comb 74 4527 15872 362 583 47 15872 362
75 ULS Comb 75 4448 15419 405 568 47 15419 405
76 ULS Comb 76 4599 15973 305 583 46 15973 305
77 ULS Comb 77 4527 15872 362 583 47 15872 362
78 ULS Comb 78 3107 14387 305 541 46 14387 305
79 ULS Comb 79 3779 11752 362 340 47 11752 362
80 ULS Comb 80 3779 11752 362 340 47 11752 362
81 ULS Comb 81 3700 11299 405 325 47 11299 405
82 ULS Comb 82 3851 11853 305 340 46 11853 305
83 ULS Comb 83 3779 11752 362 340 47 11752 362
84 ULS Comb 84 3701 11177 305 323 46 11177 305
85 ULS Comb 85 4571 11628 1065 447 152 11628 1065

___________________________________________________________________________________________________________________
98
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
86 ULS Comb 86 4571 11628 1065 447 152 11628 1065
87 ULS Comb 87 4492 11176 1108 432 152 11176 1108
88 ULS Comb 88 4643 11729 1007 448 150 11729 1007
89 ULS Comb 89 4493 11053 1007 430 150 11053 1007
90 ULS Comb 90 4571 11628 1065 447 152 11628 1065
91 ULS Comb 91 3823 7508 1065 205 152 7508 1065
92 ULS Comb 92 3823 7508 1065 205 152 7508 1065
93 ULS Comb 93 3743 7056 1108 189 152 7056 1108
94 ULS Comb 94 3895 7609 1007 205 150 7609 1007
95 ULS Comb 95 3745 6933 1007 187 150 6933 1007
96 ULS Comb 96 3823 7508 1065 205 152 7508 1065
97 ULS Comb 97 3878 15373 362 702 47 15373 362
98 ULS Comb 98 3878 15373 362 702 47 15373 362
99 ULS Comb 99 3799 14920 405 687 47 14920 405
100 ULS Comb 100 3801 14798 305 685 46 14798 305
101 ULS Comb 101 3801 14798 305 685 46 14798 305
102 ULS Comb 102 2458 13887 305 659 46 13887 305
103 ULS Comb 103 4516 3764 362 50 47 3764 362
104 ULS Comb 104 4516 3764 362 50 47 3764 362
105 ULS Comb 105 4436 3311 405 65 47 3311 405
106 ULS Comb 106 4438 3189 305 67 46 3189 305
107 ULS Comb 107 4438 3189 305 67 46 3189 305
108 ULS Comb 108 4438 3189 305 67 46 3189 305
109 ULS Comb 109 3545 7295 61 255 2 7295 61
110 ULS Comb 110 3545 7295 61 255 2 7295 61
111 ULS Comb 111 3465 6842 103 240 2 6842 103
112 ULS Comb 112 3617 7395 3 256 1 7395 3
113 ULS Comb 113 3571 6656 20 231 1 6656 20
114 ULS Comb 114 3545 7295 61 255 2 7295 61
Max Values 5932 15973 1108 702 152 15973 1108

___________________________________________________________________________________________________________________
99
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.3 CALCULATION OF ADDITIONAL ECCENTRICITY OF P2, PIER TOP ANALYSIS MODEL ELEMENT NO. 2002
Calculation of Additional Eccentricity due to Geometric Imperfection
The additional eccentricity due to imperfections is obtained from cl. 11.3.2.2 of IRC 112.
The additional eccentricity is calculated as per the expression shown below.
Additional Eccentricity e = 15 + Lo/800
where,
Lo is the Height of the Pier
Lo = 44948 mm
Additional Eccentricity (Geometric Imperfection) e = 71.19 mm

Calculation of Additional Eccentricity due to Slenderness Effects


The additional eccentricity due to Slenderness Effects is computed as per cl. 11.2 of IRC 112 2020.
Determination of Slenderness Ratio
The slenderness ratio is defined as:
λ = Le/i
Where
λ is the slenderness ratio
Le is the effective length
i is the radius of gyration of the uncracked concrete section
The Effective Length is obtained from Table 11.1 of IRC 112 2020.
Direction Longitudinal Transverse
FRL-Open Foundation Top 51.20 51.20 m
Depth of Structure
Clear Height of Pier Column 63.45 51.20 m
Factor 1.5 2.3
Le 95 118 m
Width of Pier 5.3 4.5 m
Length of Pier 4.5 5.3 m
Clear Distance Between Piers NA NA m
2
Area 15.75 15.75 m
4
Moment of Inertia 38.77 47.20 m
i 1.569 1.731 m
λ 60.66 68.02
The limitation of λ is obtained from equation 11.1 of IRC 112 2011
λlim = 20 x A x B x C / sqrt(n)
Calculation of rm
rm = M1/M2
M1 -4388 286 ton m
Moment at one end
M2 -4388 286 ton m
Moment at other end
Condition Unbraced Unbraced
rm 1.00 1.00
C= 0.70 0.70
Reinf. Percentage 2.31 2.31
Cross Section Area 15750000 15750000
Area of Reinforcement 363825 363825
Fyd 435 435
Ac 15750000 15750000
Fcd 22 22
Mechanical reinforcement Ratio 0.452 0.452
B 1.380 1.380
M Quasi 6906 0 ton m
M ULS 15973 1108 ton m
φ 2 2
φeff 0.649 0.000
A 0.607 1.000
Ned 5932 5932 tons
n 0.166 0.166
λlim = 28.751 47.398

___________________________________________________________________________________________________________________
100
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Slender Slender

Calculation of Additional Eccentricity


The additional eccentricity is computed as per cl. 11.3.2.2 of IRC 112.
2
e = 1/r x Le / c
1/r = KrKΦ 1/r0
Kr = (nu -n)/(nu-nbal)
n= 0.166 0.166
nu = 1.452 1.452
nbal 0.40 0.40
Kr = 1.000 1.000
KΦ = 1 + βΦeff
β 0.196 0.147
KΦ = 1.127 1.000
1/r0 = εyd/.45d
d = h/2 + i
Width of Column 5250 4500
Length of Column 4500 5250
d= 3300 3863
1/r0 = 0.00000146 0.00000125
1/r = 0.00000165 0.00000125
e= 1494.910 1735.162

The additional eccentricity is required to be adopted only if the column is under the Slender category
Add. Eccentricity due to Slenderness Long. eLong. = 1495 mm
Add. Eccentricity due to Slenderness Trans eTrans. = 1735 mm
Add. Resultant Eccentricity eRes = 2290 mm
Note: Axial Load is taken at Mid Pier Height for the Calculation of Additional Moment.

___________________________________________________________________________________________________________________
101
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.4 ULS FLEXURE DESIGN CHECK FOR P2, PIER TOP ANALYSIS MODEL ELEMENT NO. 2002
The ULS Flexure check is done with PM Interaction.
The MR includes additional moment due to imperfections and additional eccentricity effect due to Slenderness
ML, incl add. MT, incl add.
Load Combination P Ecc and Ecc and MLC MTC Load Combination
S.No. MR/MRC UR
Slenderness Slenderness Description
Units t tm tm tm tm
1 ULS Comb 1 5372 28891 19322 19393 38272 0.81

DL + SIDL Axial Load Adding and


Live Load Leading and Thermal
2 ULS Comb 2 5372 28891 19322 19393 38272 0.81
3 ULS Comb 3 4777 24593 18603 20956 37053 0.72

ULS COMBINATIONS
4 ULS Comb 4 5912 30487 19861 19343 38708 0.84

Relieving Effect
Accompanying
5 ULS Comb 5 5236 28121 18761 19260 38225 0.79
6 ULS Comb 6 5372 28891 19322 19393 38272 0.81
0.84
7 ULS Comb 7 4029 23813 14514 17061 38153 0.67
8 ULS Comb 8 4029 23813 14514 17061 38153 0.67
9 ULS Comb 9 3434 19514 13796 18905 36862 0.58
10 ULS Comb 10 4307 23822 14588 17328 38301 0.66
11 ULS Comb 11 3893 23043 13954 16865 38106 0.65
12 ULS Comb 12 4029 23813 14514 17061 38153 0.67
13 ULS Comb 13 5204 28479 18919 19178 38244 0.80

DL + SIDL Axial Load Adding and


14 ULS Comb 14 5204 28479 18919 19178 38244 0.80

Live Load Accompanying and


15 ULS Comb 15 4748 25184 18368 20347 37333 0.73

ULS COMBINATIONS
16 ULS Comb 16 5618 29703 19333 19138 38583 0.82

Thermal Leading

Relieving Effect
17 ULS Comb 17 5283 26918 18855 20052 37885 0.77
18 ULS Comb 18 5283 26474 19076 20497 37670 0.76
0.82
19 ULS Comb 19 3861 23401 14112 16780 38111 0.66
20 ULS Comb 20 3861 23401 14112 16780 38111 0.66
21 ULS Comb 21 3405 20105 13561 18133 37157 0.59
22 ULS Comb 22 4276 24624 14526 16759 38498 0.68
23 ULS Comb 23 3940 21840 14048 17797 37782 0.62
24 ULS Comb 24 3940 21395 14269 18349 37551 0.62
25 ULS Comb 25 5560 29429 19941 19718 38266 0.83

DL + SIDL Axial Load Adding and


26 ULS Comb 26 5560 29429 19941 19718 38266 0.83

Live Load Leading and Wind


27 ULS Comb 27 4965 25131 19222 21259 37045 0.74 ULS COMBINATIONS
28 ULS Comb 28 5838 29438 20015 19943 38357 0.82

Relieving Effect
Accompanying
29 ULS Comb 29 5283 26918 18855 20052 37885 0.77
30 ULS Comb 30 5424 28215 19601 20020 38017 0.80
0.83
31 ULS Comb 31 4217 24351 15134 17479 38154 0.68
32 ULS Comb 32 4217 24351 15134 17479 38154 0.68
33 ULS Comb 33 3623 20052 14415 19318 36855 0.59
34 ULS Comb 34 4495 24360 15208 17744 38290 0.68
35 ULS Comb 35 3940 21840 14048 17797 37782 0.62
36 ULS Comb 36 4081 23137 14794 17805 37902 0.66
37 ULS Comb 37 5517 29376 19951 19724 38229 0.83
DL + SIDL Axial Load Adding and

38 ULS Comb 38 5517 29376 19951 19724 38229 0.83


Live Load Accompanying and

39 ULS Comb 39 5062 26080 19400 20869 37324 0.76


ULS COMBINATIONS

40 ULS Comb 40 5932 30599 20365 19678 38550 0.85


Relieving Effect
Wind Leading

41 ULS Comb 41 5283 26918 18855 20052 37885 0.77


42 ULS Comb 42 5517 29376 19951 19724 38229 0.83
0.85
43 ULS Comb 43 4175 24298 15144 17493 38114 0.68
44 ULS Comb 44 4175 24298 15144 17493 38114 0.68
45 ULS Comb 45 3719 21002 14593 18833 37151 0.61
46 ULS Comb 46 4589 25521 15558 17455 38490 0.71
47 ULS Comb 47 3940 21840 14048 17797 37782 0.62
48 ULS Comb 48 4175 24298 15144 17493 38114 0.68

___________________________________________________________________________________________________________________
102
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
49 ULS Comb 49 4588 23314 18056 21222 36772 0.69
50 ULS Comb 50 4588 23314 18056 21222 36772 0.69

DL + SIDL Axial Load Adding


Wind only No Live Load
51 ULS Comb 51 4588 23314 18056 21222 36772 0.69

ULS COMBINATIONS

and Relieving Effect


52 ULS Comb 52 4588 23314 18056 21222 36772 0.69
53 ULS Comb 53 4588 23314 18056 21222 36772 0.69
54 ULS Comb 54 4588 23314 18056 21222 36772 0.69
0.69
55 ULS Comb 55 3246 18236 13248 19209 36555 0.55
56 ULS Comb 56 3246 18236 13248 19209 36555 0.55
57 ULS Comb 57 3246 18236 13248 19209 36555 0.55
58 ULS Comb 58 3246 18236 13248 19209 36555 0.55
59 ULS Comb 59 3246 18236 13248 19209 36555 0.55
60 ULS Comb 60 3246 18236 13248 19209 36555 0.55
61 ULS Comb 61 5111 25879 18984 20677 37455 0.75
62 ULS Comb 62 5111 25879 18984 20677 37455 0.75

DL + SIDL Axial Load Adding


Wind only No Live Load
63 ULS Comb 63 5111 25879 18984 20677 37455 0.75

ULS COMBINATIONS

and Relieving Effect


64 ULS Comb 64 5111 25879 18984 20677 37455 0.75
65 ULS Comb 65 5111 25879 18984 20677 37455 0.75
66 ULS Comb 66 3768 20801 14177 18563 37309 0.60
0.75
67 ULS Comb 67 3768 20801 14177 18563 37309 0.60
68 ULS Comb 68 3768 20801 14177 18563 37309 0.60
69 ULS Comb 69 3768 20801 14177 18563 37309 0.60
70 ULS Comb 70 3768 20801 14177 18563 37309 0.60
71 ULS Comb 71 3768 20801 14177 18563 37309 0.60
72 ULS Comb 72 3768 20801 14177 18563 37309 0.60
73 ULS Comb 73 4527 30750 17522 16454 38851 0.84

Transvesre : 30% : EQ Vertical : Transvesre : 100% : EQ Vertical Transvesre : 30% : EQ Vertical :


Earthquake Combinations EQ
74 ULS Comb 74 4527 30750 17522 16454 38851 0.84

DL + SIDL Axial Load Adding


Longitudinal 100% : EQ
75 ULS Comb 75 4448 30177 17426 16586 38728 0.83

ULS COMBINATIONS

and Relieving Effect


76 ULS Comb 76 4599 30963 17594 16461 38904 0.84
77 ULS Comb 77 4527 30750 17522 16454 38851 0.84
78 ULS Comb 78 3107 24978 12521 13551 38425 0.69

30%
0.84
79 ULS Comb 79 3779 23856 14323 16658 38086 0.67
80 ULS Comb 80 3779 23856 14323 16658 38086 0.67
81 ULS Comb 81 3700 23283 14227 16852 37934 0.66
82 ULS Comb 82 3851 24069 14395 16656 38154 0.67
83 ULS Comb 83 3779 23856 14323 16658 38086 0.67
84 ULS Comb 84 3701 23163 14129 16826 37945 0.65
85 ULS Comb 85 4571 26553 18279 19288 37674 0.76
Earthquake Combinations EQ

86 ULS Comb 86 4571 26553 18279 19288 37674 0.76

DL + SIDL Axial Load Adding


87 ULS Comb 87 4492 25980 18183 19506 37515 0.75
Longitudinal 30% : EQ
ULS COMBINATIONS

and Relieving Effect


88 ULS Comb 88 4643 26766 18351 19283 37745 0.77
89 ULS Comb 89 4493 25859 18085 19493 37522 0.75
: 30%

90 ULS Comb 90 4571 26553 18279 19288 37674 0.76


0.77
91 ULS Comb 91 3823 19659 15080 20552 36473 0.59
92 ULS Comb 92 3823 19659 15080 20552 36473 0.59
93 ULS Comb 93 3743 19086 14984 20887 36236 0.58
94 ULS Comb 94 3895 19872 15151 20496 36552 0.60
95 ULS Comb 95 3745 18965 14885 20892 36244 0.58
96 ULS Comb 96 3823 19659 15080 20552 36473 0.59
97 ULS Comb 97 3878 28671 15700 15415 38628 0.79
Earthquake Combinations EQ

98 ULS Comb 98 3878 28671 15700 15415 38628 0.79


DL + SIDL Axial Load Adding

99 ULS Comb 99 3799 28098 15604 15547 38509 0.77


Longitudinal 30% : EQ
ULS COMBINATIONS

and Relieving Effect

100 ULS Comb 100 3801 27977 15506 15520 38520 0.77
101 ULS Comb 101 3801 27977 15506 15520 38520 0.77
100%

102 ULS Comb 102 2458 22899 10698 12110 38091 0.63
0.79
103 ULS Comb 103 4516 17541 16253 24248 35099 0.56
104 ULS Comb 104 4516 17541 16253 24248 35099 0.56
105 ULS Comb 105 4436 16968 16157 24681 34784 0.55
106 ULS Comb 106 4438 16847 16059 24699 34771 0.55
107 ULS Comb 107 4438 16847 16059 24699 34771 0.55
108 ULS Comb 108 4438 16847 16059 24699 34771 0.55

___________________________________________________________________________________________________________________
103
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
109 ULS Comb 109 3545 18768 13294 19012 36910 0.55

COMBINATION
S ACCIDENTAL

Combinations

Current Load
110 ULS Comb 110 3545 18768 13294 19012 36910 0.55

with Water
Normal
111 ULS Comb 111 3465 18195 13198 19346 36690 0.54

ULS
0.56
112 ULS Comb 112 3617 18981 13366 18975 36998 0.56
113 ULS Comb 113 3571 18177 13308 19584 36691 0.54
114 ULS Comb 114 3545 18768 13294 19012 36910 0.55

Utilization
Max. Utilization Ratio
Ratio
Normal Cases Live Load Leading and Thermal Accompanying = 0.84
Normal Cases Live Load Accompanying and Thermal Leading = 0.82
Normal Cases Live Load Leading and Wind Accompanying = 0.83
Normal Cases Live Load Accompanying and Wind Leading = 0.85
Normal Cases Wind Load Without Live Load = 0.69
Normal Cases Wind Load Without Live Load = 0.75
Seismic Cases EQ Long 100% EQ Trans 30% EQ Vertical 30% = 0.84
Seismic Cases EQ Long 30% EQ Trans 100% EQ Vertical 30% = 0.77
Seismic Cases EQ Long 30% EQ Trans 100% EQ Vertical 30% = 0.79
Accidental Case Barge Impact = 0.56

___________________________________________________________________________________________________________________
104
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.5 ULS SHEAR CHECK FOR P2, PIER TOP ANALYSIS MODEL ELEMENT NO. 2002
The ULS Shear check is done as per Chapter 10 of IRC 112.
The Shear Check has two components:
1. Section Adequacy: In this check, the adequacy of section is checked for compression failure.
2. Shear Reinforcement: In this check, it is established whether the section needs design shear reinforcement
or the provided longitudinal reinforcement is enough to cater to the Design Shear Force.
If shear reinforcement is required, the same is calculated.
ULS Shear Force is obtained as the following three criterias:
1. ULS Shear Force for R = 1
2. ULS Shear Force from Capacity Design Principles
3. ULS Shear Force from Design Forces without Seismic Effects
The Shear Force for Design is obtained as follows:
Maximum of (3, Minimum of 1 and 2)
Thus, the ULS Shear Forces for R =1 are also required.

ULS FORCES IN PIER FOR R =1


Load Combination P ML MT HL HT Net ML Net MT
S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 6408 26371 1291 412 10 26371 1291
2 ULS Comb 2 6408 26371 1291 412 10 26371 1291
3 ULS Comb 3 4624 16181 2257 299 14 16181 2257
4 ULS Comb 4 8029 28637 3 416 1 28637 3
5 ULS Comb 5 6000 24654 293 384 2 24654 293
6 ULS Comb 6 6408 26371 1291 412 10 26371 1291
7 ULS Comb 7 5066 25461 1291 387 10 25461 1291
8 ULS Comb 8 5066 25461 1291 387 10 25461 1291
9 ULS Comb 9 3282 15271 2257 274 14 15271 2257
10 ULS Comb 10 5900 24178 3 360 1 24178 3
11 ULS Comb 11 4658 23744 293 359 2 23744 293
12 ULS Comb 12 5066 25461 1291 387 10 25461 1291
13 ULS Comb 13 5968 24208 991 412 8 24208 991
14 ULS Comb 14 5968 24208 991 412 8 24208 991
15 ULS Comb 15 4601 16396 1731 326 11 16396 1731
16 ULS Comb 16 7211 25946 3 415 1 25946 3
17 ULS Comb 17 6048 23369 293 339 2 23369 293
18 ULS Comb 18 6047 22067 991 336 8 22067 991
19 ULS Comb 19 4626 23298 991 387 8 23298 991
20 ULS Comb 20 4626 23298 991 387 8 23298 991
21 ULS Comb 21 3258 15485 1731 300 11 15485 1731
22 ULS Comb 22 5869 25035 3 390 1 25035 3
23 ULS Comb 23 4705 22459 293 314 2 22459 293
24 ULS Comb 24 4705 21156 991 311 8 21156 991
25 ULS Comb 25 6596 26624 1582 384 39 26624 1582
26 ULS Comb 26 6596 26624 1582 384 39 26624 1582
27 ULS Comb 27 4813 16434 2548 271 43 16434 2548
28 ULS Comb 28 7431 25342 294 357 30 25342 294
29 ULS Comb 29 6048 23369 293 339 2 23369 293
30 ULS Comb 30 6188 23605 1281 354 37 23605 1281
31 ULS Comb 31 5254 25714 1582 359 39 25714 1582
32 ULS Comb 32 5254 25714 1582 359 39 25714 1582
33 ULS Comb 33 3470 15524 2548 246 43 15524 2548
34 ULS Comb 34 6088 24431 294 332 30 24431 294
35 ULS Comb 35 4705 22459 293 314 2 22459 293
36 ULS Comb 36 4845 22694 1281 329 37 22694 1281
37 ULS Comb 37 6282 24630 1475 366 56 24630 1475
38 ULS Comb 38 6282 24630 1475 366 56 24630 1475
39 ULS Comb 39 4914 16817 2216 279 59 16817 2216
40 ULS Comb 40 7525 26367 488 369 49 26367 488
41 ULS Comb 41 6048 23369 293 339 2 23369 293
42 ULS Comb 42 6282 24630 1475 366 56 24630 1475

___________________________________________________________________________________________________________________
105
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
43 ULS Comb 43 4939 23719 1475 341 56 23719 1475
44 ULS Comb 44 4939 23719 1475 341 56 23719 1475
45 ULS Comb 45 3572 15907 2216 254 59 15907 2216
46 ULS Comb 46 6182 25457 488 344 49 25457 488
47 ULS Comb 47 4705 22459 293 314 2 22459 293
48 ULS Comb 48 4939 23719 1475 341 56 23719 1475
49 ULS Comb 49 4458 13382 569 224 59 13382 569
50 ULS Comb 50 4458 13382 569 224 59 13382 569
51 ULS Comb 51 4458 13382 569 224 59 13382 569
52 ULS Comb 52 4458 13382 569 224 59 13382 569
53 ULS Comb 53 4458 13382 569 224 59 13382 569
54 ULS Comb 54 4458 13382 569 224 59 13382 569
55 ULS Comb 55 3116 12472 569 199 59 12472 569
56 ULS Comb 56 3116 12472 569 199 59 12472 569
57 ULS Comb 57 3116 12472 569 199 59 12472 569
58 ULS Comb 58 3116 12472 569 199 59 12472 569
59 ULS Comb 59 3116 12472 569 199 59 12472 569
60 ULS Comb 60 3116 12472 569 199 59 12472 569
61 ULS Comb 61 4981 15142 569 273 59 15142 569
62 ULS Comb 62 4981 15142 569 273 59 15142 569
63 ULS Comb 63 4981 15142 569 273 59 15142 569
64 ULS Comb 64 4981 15142 569 273 59 15142 569
65 ULS Comb 65 4981 15142 569 273 59 15142 569
66 ULS Comb 66 3638 14232 569 248 59 14232 569
67 ULS Comb 67 3638 14232 569 248 59 14232 569
68 ULS Comb 68 3638 14232 569 248 59 14232 569
69 ULS Comb 69 3638 14232 569 248 59 14232 569
70 ULS Comb 70 3638 14232 569 248 59 14232 569
71 ULS Comb 71 3638 14232 569 248 59 14232 569
72 ULS Comb 72 3638 14232 569 248 59 14232 569
73 ULS Comb 73 4428 34376 1079 969 137 34376 1079
74 ULS Comb 74 4428 34376 1079 969 137 34376 1079
75 ULS Comb 75 4190 33017 1208 954 137 33017 1208
76 ULS Comb 76 4644 34678 907 970 135 34678 907
77 ULS Comb 77 4428 34376 1079 969 137 34376 1079
78 ULS Comb 78 2852 31740 907 927 135 31740 907
79 ULS Comb 79 3679 30256 1079 726 137 30256 1079
80 ULS Comb 80 3679 30256 1079 726 137 30256 1079
81 ULS Comb 81 3441 28897 1208 711 137 28897 1208
82 ULS Comb 82 3895 30558 907 727 135 30558 907
83 ULS Comb 83 3679 30256 1079 726 137 30256 1079
84 ULS Comb 84 3446 28530 907 709 135 28530 907
85 ULS Comb 85 4559 21645 3187 563 452 21645 3187
86 ULS Comb 86 4559 21645 3187 563 452 21645 3187
87 ULS Comb 87 4321 20286 3316 548 452 20286 3316
88 ULS Comb 88 4775 21947 3016 564 450 21947 3016
89 ULS Comb 89 4326 19919 3016 546 450 19919 3016
90 ULS Comb 90 4559 21645 3187 563 452 21645 3187
91 ULS Comb 91 3811 17525 3187 320 452 17525 3187
92 ULS Comb 92 3811 17525 3187 320 452 17525 3187
93 ULS Comb 93 3573 16166 3316 305 452 16166 3316
94 ULS Comb 94 4027 17827 3016 321 450 17827 3016
95 ULS Comb 95 3577 15799 3016 303 450 15799 3016
96 ULS Comb 96 3811 17525 3187 320 452 17525 3187
97 ULS Comb 97 3866 25390 1079 818 137 25390 1079
98 ULS Comb 98 3866 25390 1079 818 137 25390 1079
99 ULS Comb 99 3628 24031 1208 802 137 24031 1208
100 ULS Comb 100 3633 23664 907 800 135 23664 907
101 ULS Comb 101 3633 23664 907 800 135 23664 907
102 ULS Comb 102 2290 22754 907 775 135 22754 907
103 ULS Comb 103 4503 13780 1079 66 137 13780 1079

___________________________________________________________________________________________________________________
106
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
104 ULS Comb 104 4503 13780 1079 66 137 13780 1079
105 ULS Comb 105 4266 12422 1208 51 137 12422 1208
106 ULS Comb 106 4270 12055 907 49 135 12055 907
107 ULS Comb 107 4270 12055 907 49 135 12055 907
108 ULS Comb 108 4270 12055 907 49 135 12055 907
109 ULS Comb 109 3570 13674 175 255 2 13674 175
110 ULS Comb 110 3570 13674 175 255 2 13674 175
111 ULS Comb 111 3332 12315 304 240 2 12315 304
112 ULS Comb 112 3786 13976 3 256 1 13976 3
113 ULS Comb 113 3596 13186 54 231 1 13186 54
114 ULS Comb 114 3570 13674 175 255 2 13674 175
Max Values 8029 34678 3316 970 452 34678 3316

The ULS Shear check is done for the Maximum Shear Force obtained. The formulations of cl. 10.3.2 of
IRC 112 are used.
As per IRC 112 cl. 10.3.2, the shear capacity of shear not requiring design shear reinforcement is
.33
VRd,c = (.12K(80ρlfck) + .15 σcp) bwd subject to min. of (vmin + .15 σcp)bwd
Fck = Concrete Compressive Strength
bw = Section Width for Design
D = Total Depth of Section
d = Effective Depth of Section
VEd = ULS Shear Force

Check for Section Adequacy


The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Longitudinal Direction
Maximum Shear Force = 703 t
Shear Force with R =1 = 970 t
Capacity Moment = 242298 tm
Pier Height = 51.20 m
Design Shear Force = 970 t
Depth of Section = 5250 mm
Width of the Section Twice the Web Width = 1000 mm
Effective Cover = 98 mm
Effective Depth = 5152 mm

Calculation of Maximum Allowable Shear Force (Corresponding to θ = 45 Degree)


Maximum Shear Capacity Vrd,max = αcw x bw x z x v1 x fcd
(cot θ + tan θ )
Axial Load in Pier DL + SIDL t
State of Stress in Compression Chord σcp = 6.69 N/mm2
Taken for Unfactored DL + SIDL only αcw = 1.00
Width of Section bw = 1000 mm
Effective Depth of Section z = 5152 mm
Lever Arm
2
Compressive Strength fck = 50 N/mm
v1 v1 = 0.503
2
Design Compressive Strength fcd = 22.33 N/mm
Angle of Strut θ = 45 Degrees
Maximum Shear Capacity of Section Vrd,max = 2950 t
OK

___________________________________________________________________________________________________________________
107
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Calculation of Shear Capacity of Section Without Shear Reinforcement as per cl. 10.3.2 of IRC 112
Width of Section b = 1000 mm
Effective Depth of Section d = 5152.0 mm
2
State of Stress in Compression Chord σcp = 6.69 N/mm
K K = 1.197
2
Fck Fck = 50 N/mm
2
Provided Reinforcement (Tension Side) Ast = 181913 mm
Taken as Half of the Reinforcement Provided
2
Area Apier = 5152000 mm
Reinforcement Ratio ρ = 0.03531
2
νmin ν = 0.287 N/mm
2
ν .12K(80xρxFck)^.33 considering Reinforcement ν = 0.748 N/mm
Vrd,c Vrd,c = 920 t
Design Shear Force Vd = 970 t
Design Shear Reinforcement

Calculation of Strut Angle for Minimum Shear Reinforcement by equating Vrd,max to VNS
Design Shear Force VNS = 970 t
Strut Angle for Vrd,max = VNS θ = 9.59 Deg
Minimum Strut Angle as per the Code θ min = 21.8 Deg
Adopted Strut Angle θadopted = 37.5 Deg

Calculation of Shear Reinforcement Required


Design Shear Force VRd,s = 970 t
Adopted Strut Angle θadopted = 38 Deg
Spacing s = 150 mm
Lever Arm z = 4636.8 mm
2
Yield Stress of Reinforcement fyk = 500 N/mm
Design Yield Stress of Reinforcement fywd = 435 mm
2
Required Shear Reinforcement Asw = 542 mm

Calculation of Minimum Shear Reinforcement as per Chapter 16 of IRC 112


2
Characteristic Strength of Concrete fck = 50 N/mm
2
Yield Strength of Steel fyk = 500 N/mm
Minimum Shear Reinforcement Ratio ρw,min = 0.001018
Angle Between Shear Reinforcement and Longitudinal Axis α = 90 Deg
Width of Member bw = 1000 mm
Adopted Spacing S = 150 mm
2
Minimum Shear Reinforcement Area Asw,min = 153 mm

___________________________________________________________________________________________________________________
108
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Check for Section Adequacy


The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Transverse Direction
Maximum Shear Force = 152 t
Shear Force with R =1 = 452 t
Capacity Moment = 381643 tm
Pier Height = 51.20 m
Design Shear Force = 452 t
Depth of Section = 4500 mm
Width of the Section Taken as Twice the Web Width = 2500 mm
Effective Cover = 98 mm
Effective Depth = 4402 mm

Calculation of Maximum Allowable Shear Force (Corresponding to θ = 45 Degree)


Maximum Shear Capacity Vrd,max = αcw x bw x z x v1 x fcd
(cot θ + tan θ )
Axial Load in Pier DL + SIDL t
State of Stress in Compression Chord σcp = 3.13 N/mm2
Taken for Unfactored DL + SIDL only αcw = 1.14
Width of Section bw = 2500 mm
Effective Depth of Section z = 4402 mm
Lever Arm
2
Compressive Strength fck = 50 N/mm
v1 v1 = 0.503
2
Design Compressive Strength fcd = 22.33 N/mm
Angle of Strut θ = 45 Degrees
Maximum Shear Capacity of Section Vrd,max = 7185 t
OK
Calculation of Shear Capacity of Section Without Shear Reinforcement as per cl. 10.3.2 of IRC 112
Width of Section b = 2500 mm
Effective Depth of Section d = 4402.0 mm
2
State of Stress in Compression Chord σcp = 3.13 N/mm
K K = 1.213
2
Fck Fck = 50 N/mm
2
Provided Reinforcement (Tension Side) Ast = 181913 mm
Taken as Half of the Reinforcement Provided
2
Area Apier = 5152000 mm
Reinforcement Ratio ρ = 0.03531
2
νmin ν = 0.293 N/mm
2
ν .12K(80xρxFck)^.33 considering Reinforcement ν = 0.758 N/mm
Vrd,c Vrd,c = 1377 t
Design Shear Force Vd = 452 t
Since Vrd,c > Vd Provide Minimum Shear Reinforcement

Calculation of Strut Angle for Minimum Shear Reinforcement by equating Vrd,max to VNS
Design Shear Force VNS = 452 t
Strut Angle for Vrd,max = VNS θ = 1.80 Deg
Minimum Strut Angle as per the Code θ min = 21.8 Deg
Adopted Strut Angle θadopted = 37.5 Deg

Calculation of Shear Reinforcement Required


Design Shear Force VRd,s = 452 t
Adopted Strut Angle θadopted = 38 Deg
Spacing s = 150 mm

___________________________________________________________________________________________________________________
109
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Lever Arm z = 3961.8 mm
2
Yield Stress of Reinforcement fyk = 500 N/mm
Design Yield Stress of Reinforcement fywd = 435 mm
2
Required Shear Reinforcement Asw = 296 mm

Calculation of Minimum Shear Reinforcement as per Chapter 16 of IRC 112


2
Characteristic Strength of Concrete fck = 50 N/mm
2
Yield Strength of Steel fyk = 500 N/mm
Minimum Shear Reinforcement Ratio ρw,min = 0.001018
Angle Between Shear Reinforcement and Longitudinal Axis α = 90 Deg
Width of Member bw = 2500 mm
Adopted Spacing S = 150 mm
2
Minimum Shear Reinforcement Area Asw,min = 382 mm

___________________________________________________________________________________________________________________
110
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
2 SLS RARE DESIGN FORCES FOR P2, PIER TOP ANALYSIS MODEL ELEMENT NO. 2002
The SLS Rare stress checks are done for short term modulus of elasticity.
2
Modulus of Elasticity of Concrete = 35000 N/mm
2
Modulus of Elasticity of Steel = 200000 N/mm
Modular Ratio m = 5.71

Allowable Stresses
2
Permissible Stress in Concrete = 24 N/mm
2
Permissible Stress in Steel = 400 N/mm

Inc. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS Rare Comb 1 3907 9929 290 334 7 10125 486
2 SLS Rare Comb 2 3907 9929 290 334 7 10125 486
3 SLS Rare Comb 3 3511 7664 504 259 9 7841 681
4 SLS Rare Comb 4 4267 10432 3 337 1 10647 218
5 SLS Rare Comb 5 3939 9449 87 306 2 9648 286
6 SLS Rare Comb 6 3939 9072 290 304 7 9270 488
7 SLS Rare Comb 7 3850 9738 290 329 7 9932 483
8 SLS Rare Comb 8 3850 9738 290 329 7 9932 483
9 SLS Rare Comb 9 3454 7474 504 253 9 7647 678
10 SLS Rare Comb 10 4211 10242 3 332 1 10454 215
11 SLS Rare Comb 11 3882 9259 87 301 2 9454 283
12 SLS Rare Comb 12 3850 9738 290 329 7 9932 483
13 SLS Rare Comb 13 3789 9777 215 333 5 9968 405
14 SLS Rare Comb 14 3789 9777 215 333 5 9968 405
15 SLS Rare Comb 15 3491 8079 376 276 7 8255 551
16 SLS Rare Comb 16 4059 10155 0 335 0 10359 204
17 SLS Rare Comb 17 3841 8633 63 284 1 8826 256
18 SLS Rare Comb 18 3497 7620 0 269 0 7796 176
19 SLS Rare Comb 19 3732 9587 215 327 5 9774 403
20 SLS Rare Comb 20 3732 9587 215 327 5 9774 403
21 SLS Rare Comb 21 3435 7888 376 271 7 8061 549
22 SLS Rare Comb 22 4002 9964 0 330 0 10166 201
23 SLS Rare Comb 23 3785 8442 63 279 1 8633 254
24 SLS Rare Comb 24 3440 7430 0 263 0 7603 173
25 SLS Rare Comb 25 4032 10097 483 316 26 10300 686
26 SLS Rare Comb 26 4032 10097 483 316 26 10300 686
27 SLS Rare Comb 27 3636 7833 698 240 29 8016 881
28 SLS Rare Comb 28 4393 10601 197 318 20 10822 418
29 SLS Rare Comb 29 3939 9449 87 306 2 9648 286
30 SLS Rare Comb 30 4032 10097 483 316 26 10300 686
31 SLS Rare Comb 31 3976 9907 483 310 26 10107 683
32 SLS Rare Comb 32 3976 9907 483 310 26 10107 683
33 SLS Rare Comb 33 3579 7642 698 235 29 7822 878
34 SLS Rare Comb 34 4336 10410 197 313 20 10629 415
35 SLS Rare Comb 35 3882 9259 87 301 2 9454 283
36 SLS Rare Comb 36 3976 9907 483 310 26 10107 683
37 SLS Rare Comb 37 3998 10062 541 302 38 10263 742
38 SLS Rare Comb 38 3998 10062 541 302 38 10263 742
39 SLS Rare Comb 39 3700 8363 702 246 40 8550 888
40 SLS Rare Comb 40 4268 10439 326 304 33 10654 541
41 SLS Rare Comb 41 3998 10345 389 304 34 10546 590
42 SLS Rare Comb 42 3998 10062 541 302 38 10263 742
43 SLS Rare Comb 43 3941 9871 541 297 38 10070 739
44 SLS Rare Comb 44 3941 9871 541 297 38 10070 739
45 SLS Rare Comb 45 3644 8173 702 240 40 8356 885
46 SLS Rare Comb 46 4211 10249 326 299 33 10461 538
47 SLS Rare Comb 47 3941 10154 389 298 34 10353 588

___________________________________________________________________________________________________________________
111
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
48 SLS Rare Comb 48 3941 9871 541 297 38 10070 739
49 SLS Rare Comb 49 3733 8194 380 242 39 8382 568
50 SLS Rare Comb 50 3733 8194 380 242 39 8382 568
51 SLS Rare Comb 51 3733 8194 380 242 39 8382 568
52 SLS Rare Comb 52 3733 8194 380 242 39 8382 568
53 SLS Rare Comb 53 3733 8194 380 242 39 8382 568
54 SLS Rare Comb 54 3733 8194 380 242 39 8382 568
55 SLS Rare Comb 55 3677 8004 380 236 39 8189 565
56 SLS Rare Comb 56 3677 8004 380 236 39 8189 565
57 SLS Rare Comb 57 3677 8004 380 236 39 8189 565
58 SLS Rare Comb 58 3677 8004 380 236 39 8189 565
59 SLS Rare Comb 59 3677 8004 380 236 39 8189 565
60 SLS Rare Comb 60 3677 8004 380 236 39 8189 565
Max Values 4393 10601 698 337 29 10822 881
The Sorting of SLS Rare Design Forces is done as follows:
1. Maximum Axial Force and Resultant Moment
2. Minimum Axial Force and Minimum Moment
3. Maximum Resultant Moment and Corresponding Axial Force.

Max. Compression Stress 10.09 Mpa


Governing Load Combination SLS Rare Comb 28
Allowable Compression Stress 24 Mpa

Max. Tension Stress 73.08 Mpa


Governing Load Combination SLS Rare Comb 41
Allowable Compression Stress 400 Mpa

___________________________________________________________________________________________________________________
112
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

3 SLS QUASI PERMANENT FORCES FOR P2, PIER TOP ANALYSIS MODEL ELEMENT NO. 2002
The SLS Rare stress checks are done for both short term and long term modulus of elasticity.
2
Modulus of Elasticity of Concrete = 35000 N/mm
2
Modulus of Elasticity of Steel = 200000 N/mm
Modular Ratio m Short Term = 5.71
Creep Coefficient for Piles = 1.5
Modular Ratio m Long Term = 14.3
Inc. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS QP Comb 1 3523 6906 0 244 0 7084 177
2 SLS QP Comb 2 3523 6906 0 244 0 7084 177

___________________________________________________________________________________________________________________
113
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
CRACK WIDTH CHECK FOR P2, PIER TOP ANALYSIS MODEL ELEMENT NO. 2002
The calculation of crack width is done as per cl. 12.3.4 of IRC 112.
The crack width Wk is computed as
Crack Width, Wk = Sr,max (εsm - εcm)
where,
εsm = Mean Strain in Reinforcement Under Loads
εcm = Mean Strain in the Concrete between Cracks

where,
σsc = Stress in Tension Reinforcement
αe = Es/Ecm Long Term is Adopted
εcm = Mean Strain in the Concrete between Cracks
Es = Modulus of Elasticity of Steel
Ecm = Modulus of Elasticity of Concrete
ρp,eff = As/Ac,eff
Ac,eff = Effective Area of Concrete in Tension Surrounding
Ac,eff the reinforcement of Depth hcef
hcef = Lesser of 2.5(h-d);(h-x)/3;h/2
kt = Factor Dependent on Duration of Load

k1 = Factor for Bond Properties of the Bonded Reinf.


k1 = 0.8
k2 = Coefficient which takes account of the distribution of
strain
k2 = 0.5 For Bending
Allowable Crack Width Wk = 0.3 mm
Clear Cover = 50 mm
Diameter of Link = 20 mm
Total Cover For Longitudinal Reinforcement = 70 mm
Clear Cover Adopted for Crack Width Calculation c = 50 mm
As per cl. 12.3.4 of IRC 112
Maximum Bar Spacing S = 150 mm
Reinforcement Diameter φ = 32 mm
Check for Sr,max calculation 5 (c+φ /2) = 330 mm
Maximum Crack Spacing Sr,max = 3.4 c + .425 k1 k2 φ / ρeff
k1 k1 = 0.8
k2 k2 = 0.5
Depth of Neutral Axis x = 130 mm
2
Ac,eff Ac,eff = 165000 mm
Ac,eff = 0 implies, no part of section is in tension for the given loading
2
Reinforcement Area As = 363825 mm
Reinforcement Ratio ρeff = 2.2050
Maximum Crack Spacing Sr,max = 172.5 mm
2
Max Stress in Reinforcement σsc = 0 N/mm
2
fct,eff fct,eff = 2.5 N/mm
Creep Coefficient φc = 1.5
αs αs = 14.3
kt kt = 0.5
(εsm - εcm) (εsm - εcm) = 0
Crack Width Wk = 0.00 mm OK

___________________________________________________________________________________________________________________
114
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

16 DESIGN OF P2, PIER BOTTOM


The Design of Pier is done for the Following Limit States:
1. Ultimate Limit State
Ultimate Limit State is done for the Flexure as well as Shear.
2. Serviceability Limit State
The maximum stress in concrete and reinforcement is checked in this limit state.
The crack width check is also done.

16.1 SECTION PARAMETERS OF P2, PIER BOTTOM


Pier to be Designed P2, Pier Bottom
Analysis Model Element No. = 2014
2
Concrete Grade = 50 N/mm
2
Reinforcement Grade = 500 N/mm
Width of Pier = 5250 mm
Length of Pier = 4500 mm
Effective Cover = 98 mm
2
Reinforcement = 363825 mm
Reinforcement % = 2.31 %
2
Modulus of Elasticity of Pier = 35000 N/mm
Creep Coefficient = 1.5
Modular Ratio Short Term = 5.71
Modular Ratio Long Term = 14.3

16.2 ULS DESIGN FORCES OF P2, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 2014

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 8735 9195 586 444 85 9195 586
2 ULS Comb 2 8141 12691 609 331 89 12691 609
3 ULS Comb 3 8134 10346 609 397 89 10346 609
4 ULS Comb 4 9276 11096 404 448 76 11096 404
5 ULS Comb 5 8599 10297 430 416 78 10297 430
6 ULS Comb 6 8735 9195 586 444 85 9195 586
7 ULS Comb 7 6521 8588 586 418 85 8588 586
8 ULS Comb 8 5926 12083 609 305 89 12083 609
9 ULS Comb 9 5920 9739 609 372 89 9739 609
10 ULS Comb 10 6799 10044 404 392 76 10044 404
11 ULS Comb 11 6385 9689 430 391 78 9689 430
12 ULS Comb 12 6521 8588 586 418 85 8588 586
13 ULS Comb 13 8568 10182 543 444 83 10182 543
14 ULS Comb 14 8112 12862 561 357 86 12862 561
15 ULS Comb 15 8107 11065 561 409 86 11065 561
16 ULS Comb 16 8982 11639 404 447 76 11639 404
17 ULS Comb 17 8647 8815 430 371 78 8815 430
18 ULS Comb 18 8647 7713 543 368 83 7713 543
19 ULS Comb 19 6353 9575 543 419 83 9575 543
20 ULS Comb 20 5897 12255 561 332 86 12255 561
21 ULS Comb 21 5892 10457 561 383 86 10457 561
22 ULS Comb 22 6767 11032 404 422 76 11032 404
23 ULS Comb 23 6432 8207 430 346 78 8207 430
24 ULS Comb 24 6432 7106 543 343 83 7106 543

___________________________________________________________________________________________________________________
115
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
25 ULS Comb 25 8923 10478 4725 518 199 10478 4725
26 ULS Comb 26 8329 13973 4748 405 203 13973 4748
27 ULS Comb 27 8323 11629 4748 472 203 11629 4748
28 ULS Comb 28 9202 11934 4543 492 190 11934 4543
29 ULS Comb 29 8647 8815 430 371 78 8815 430
30 ULS Comb 30 8787 10477 4683 489 197 10477 4683
31 ULS Comb 31 6709 9870 4725 493 199 9870 4725
32 ULS Comb 32 6114 13366 4748 380 203 13366 4748
33 ULS Comb 33 6108 11021 4748 447 203 11021 4748
34 ULS Comb 34 6987 11326 4543 467 190 11326 4543
35 ULS Comb 35 6432 8207 430 346 78 8207 430
36 ULS Comb 36 6573 9869 4683 463 197 9869 4683
37 ULS Comb 37 8881 12319 7442 569 272 12319 7442
38 ULS Comb 38 8425 14999 7460 482 275 14999 7460
39 ULS Comb 39 8420 13202 7460 533 275 13202 7460
40 ULS Comb 40 9295 13776 7303 572 265 13776 7303
41 ULS Comb 41 8647 8815 430 371 78 8815 430
42 ULS Comb 42 8881 12319 7442 569 272 12319 7442
43 ULS Comb 43 6667 11712 7442 544 272 11712 7442
44 ULS Comb 44 6211 14392 7460 457 275 14392 7460
45 ULS Comb 45 6206 12594 7460 508 275 12594 7460
46 ULS Comb 46 7081 13169 7303 547 265 13169 7303
47 ULS Comb 47 6432 8207 430 346 78 8207 430
48 ULS Comb 48 6667 11712 7442 544 272 11712 7442
49 ULS Comb 49 7952 11870 8489 455 297 11870 8489
50 ULS Comb 50 7952 11870 8489 455 297 11870 8489
51 ULS Comb 51 7952 11870 8489 455 297 11870 8489
52 ULS Comb 52 7952 11870 8489 455 297 11870 8489
53 ULS Comb 53 7952 11870 8489 455 297 11870 8489
54 ULS Comb 54 7952 11870 8489 455 297 11870 8489
55 ULS Comb 55 5738 11262 8489 430 297 11262 8489
56 ULS Comb 56 5738 11262 8489 430 297 11262 8489
57 ULS Comb 57 5738 11262 8489 430 297 11262 8489
58 ULS Comb 58 5738 11262 8489 430 297 11262 8489
59 ULS Comb 59 5738 11262 8489 430 297 11262 8489
60 ULS Comb 60 5738 11262 8489 430 297 11262 8489
61 ULS Comb 61 8474 13085 8489 504 297 13085 8489
62 ULS Comb 62 8474 13085 8489 504 297 13085 8489
63 ULS Comb 63 8474 13085 8489 504 297 13085 8489
64 ULS Comb 64 8474 13085 8489 504 297 13085 8489
65 ULS Comb 65 8474 13085 8489 504 297 13085 8489
66 ULS Comb 66 6260 12477 8489 479 297 12477 8489
67 ULS Comb 67 6260 12477 8489 479 297 12477 8489
68 ULS Comb 68 6260 12477 8489 479 297 12477 8489
69 ULS Comb 69 6260 12477 8489 479 297 12477 8489
70 ULS Comb 70 6260 12477 8489 479 297 12477 8489
71 ULS Comb 71 6260 12477 8489 479 297 12477 8489
72 ULS Comb 72 6260 12477 8489 479 297 12477 8489
73 ULS Comb 73 7739 19386 2899 738 152 19386 2899
74 ULS Comb 74 7660 19852 2902 723 153 19852 2902
75 ULS Comb 75 7659 19539 2902 732 153 19539 2902
76 ULS Comb 76 7811 19639 2874 739 151 19639 2874
77 ULS Comb 77 7739 19386 2899 738 152 19386 2899
78 ULS Comb 78 5447 18778 2874 696 151 18778 2874
79 ULS Comb 79 6399 15584 2899 493 152 15584 2899
80 ULS Comb 80 6320 16050 2902 477 153 16050 2902
81 ULS Comb 81 6319 15737 2902 486 153 15737 2902
82 ULS Comb 82 6471 15837 2874 493 151 15837 2874
83 ULS Comb 83 6399 15584 2899 493 152 15584 2899
84 ULS Comb 84 6321 15583 2874 475 151 15583 2874
85 ULS Comb 85 7791 12908 8662 518 327 12908 8662

___________________________________________________________________________________________________________________
116
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
86 ULS Comb 86 7712 13374 8665 502 327 13374 8665
87 ULS Comb 87 7711 13062 8665 511 327 13062 8665
88 ULS Comb 88 7863 13161 8638 518 326 13161 8638
89 ULS Comb 89 7714 12908 8638 500 326 12908 8638
90 ULS Comb 90 7791 12908 8662 518 327 12908 8662
91 ULS Comb 91 6451 9106 8662 272 327 9106 8662
92 ULS Comb 92 6372 9572 8665 257 327 9572 8665
93 ULS Comb 93 6371 9259 8665 265 327 9259 8665
94 ULS Comb 94 6523 9359 8638 272 326 9359 8638
95 ULS Comb 95 6373 9105 8638 255 326 9105 8638
96 ULS Comb 96 6451 9106 8662 272 327 9106 8662
97 ULS Comb 97 6771 16635 2899 775 152 16635 2899
98 ULS Comb 98 6692 17101 2902 760 153 17101 2902
99 ULS Comb 99 6691 16789 2902 769 153 16789 2902
100 ULS Comb 100 6694 16635 2874 758 151 16635 2874
101 ULS Comb 101 6694 16635 2874 758 151 16635 2874
102 ULS Comb 102 4479 16027 2874 733 151 16027 2874
103 ULS Comb 103 7471 5379 2899 14 152 5379 2899
104 ULS Comb 104 7392 5845 2902 1 153 5845 2902
105 ULS Comb 105 7391 5532 2902 8 153 5532 2902
106 ULS Comb 106 7393 5378 2874 3 151 5378 2874
107 ULS Comb 107 7393 5378 2874 3 151 5378 2874
108 ULS Comb 108 7393 5378 2874 3 151 5378 2874
109 ULS Comb 109 6036 7927 428 287 78 7927 428
110 ULS Comb 110 5957 8393 431 272 78 8393 431
111 ULS Comb 111 5956 8080 431 281 78 8080 431
112 ULS Comb 112 6108 8180 404 288 76 8180 404
113 ULS Comb 113 6063 7295 409 263 77 7295 409
114 ULS Comb 114 6036 7927 428 287 78 7927 428
Max Values 9295 19852 8665 775 327 19852 8665

___________________________________________________________________________________________________________________
117
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
16.3 CALCULATION OF ADDITIONAL ECCENTRICITY OF P2, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 2014
Calculation of Additional Eccentricity due to Geometric Imperfection
The additional eccentricity due to imperfections is obtained from cl. 11.3.2.2 of IRC 112.
The additional eccentricity is calculated as per the expression shown below.
Additional Eccentricity e = 15 + Lo/800
where,
Lo is the Height of the Pier
Lo = 44948 mm
Additional Eccentricity (Geometric Imperfection) e = 71.19 mm

Calculation of Additional Eccentricity due to Slenderness Effects


The additional eccentricity due to Slenderness Effects is computed as per cl. 11.2 of IRC 112 2020.
Determination of Slenderness Ratio
The slenderness ratio is defined as:
λ = Le/i
Where
λ is the slenderness ratio
Le is the effective length
i is the radius of gyration of the uncracked concrete section
The Effective Length is obtained from Table 11.1 of IRC 112 2020.
Direction Longitudinal Transverse
FRL-Open Foundation Top 51.20 51.20 m
Depth of Structure
Clear Height of Pier Column 63.45 51.20 m
Factor 1.5 2.3
Le 95 118 m
Width of Pier 5.3 4.5 m
Length of Pier 4.5 5.3 m
Clear Distance Between Piers NA NA m
2
Area 15.75 15.75 m
4
Moment of Inertia 38.77 47.20 m
i 1.569 1.731 m
λ 60.66 68.02
The limitation of λ is obtained from equation 11.1 of IRC 112 2011
λlim = 20 x A x B x C / sqrt(n)
Calculation of rm
rm = M1/M2
M1 987 121 ton m
Moment at one end
M2 987 121 ton m
Moment at other end
Condition Unbraced Unbraced
rm 1.00 1.00
C= 0.70 0.70
Reinf. Percentage 2.31 2.31
Cross Section Area 15750000 15750000
Area of Reinforcement 363825 363825
Fyd 435 435
Ac 15750000 15750000
Fcd 22 22
Mechanical reinforcement Ratio 0.452 0.452
B 1.380 1.380
M Quasi 7889 0 ton m
M ULS 19852 8665 ton m
φ 2 2
φeff 0.596 0.000
A 0.627 1.000
Ned 9295 9295 tons
n 0.260 0.260
λlim = 23.723 37.862

___________________________________________________________________________________________________________________
118
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Slender Slender

Calculation of Additional Eccentricity


The additional eccentricity is computed as per cl. 11.3.2.2 of IRC 112.
2
e = 1/r x Le / c
1/r = KrKΦ 1/r0
Kr = (nu -n)/(nu-nbal)
n= 0.260 0.260
nu = 1.452 1.452
nbal 0.40 0.40
Kr = 1.000 1.000
KΦ = 1 + βΦeff
β 0.196 0.147
KΦ = 1.117 1.000
1/r0 = εyd/.45d
d = h/2 + i
Width of Column 5250 4500
Length of Column 4500 5250
d= 3300 3863
1/r0 = 0.00000146 0.00000125
1/r = 0.00000164 0.00000125
e= 1481.284 1735.162

The additional eccentricity is required to be adopted only if the column is under the Slender category
Add. Eccentricity due to Slenderness Long. eLong. = 1481 mm
Add. Eccentricity due to Slenderness Trans eTrans. = 1735 mm
Add. Resultant Eccentricity eRes = 2281 mm
Note: Axial Load is taken at Mid Pier Height for the Calculation of Additional Moment.

___________________________________________________________________________________________________________________
119
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
16.4 ULS FLEXURE DESIGN CHECK FOR P2, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 2014
The ULS Flexure check is done with PM Interaction.
The MR includes additional moment due to imperfections and additional eccentricity effect due to Slenderness
ML, incl add. MT, incl add.
Load Combination P Ecc and Ecc and MLC MTC Load Combination
S.No. MR/MRC UR
Slenderness Slenderness Description
Units t tm tm tm tm
1 ULS Comb 1 8735 25430 19475 23209 38142 0.72

DL + SIDL Axial Load Adding and


Live Load Leading and Thermal
2 ULS Comb 2 8141 28925 19498 21054 39165 0.78
3 ULS Comb 3 8134 25686 18457 21982 38616 0.71

ULS COMBINATIONS
4 ULS Comb 4 9276 28163 20262 22496 38791 0.77

Relieving Effect
Accompanying
5 ULS Comb 5 8599 26335 19091 22329 38628 0.73
6 ULS Comb 6 8735 25430 19475 23209 38142 0.72
0.78
7 ULS Comb 7 6521 20690 14667 20969 38283 0.58
8 ULS Comb 8 5926 24186 14690 18306 39198 0.65
9 ULS Comb 9 5920 20947 13650 19350 38705 0.58
10 ULS Comb 10 6799 22579 14989 20150 38904 0.62
11 ULS Comb 11 6385 21596 14284 19855 38780 0.59
12 ULS Comb 12 6521 20690 14667 20969 38283 0.58
13 ULS Comb 13 8568 26157 19130 22440 38540 0.73

DL + SIDL Axial Load Adding and


14 ULS Comb 14 8112 28837 19148 20828 39285 0.78

Live Load Accompanying and


15 ULS Comb 15 8107 26354 18350 21509 38881 0.72

ULS COMBINATIONS
16 ULS Comb 16 8982 28252 19734 21945 39024 0.77

Thermal Leading

Relieving Effect
17 ULS Comb 17 8647 24935 19185 23239 38088 0.71
18 ULS Comb 18 8647 23823 19287 24031 37606 0.69
0.78
19 ULS Comb 19 6353 21417 14323 20001 38682 0.59
20 ULS Comb 20 5897 24097 14340 17989 39322 0.65
21 ULS Comb 21 5892 21614 13543 18745 38979 0.59
22 ULS Comb 22 6767 23513 14926 19478 39233 0.64
23 ULS Comb 23 6432 20195 14378 20989 38225 0.57
24 ULS Comb 24 6432 19083 14480 21974 37679 0.55
25 ULS Comb 25 8923 26994 23943 25589 36725 0.81

DL + SIDL Axial Load Adding and


26 ULS Comb 26 8329 30490 23966 23432 37837 0.87

Live Load Leading and Wind


27 ULS Comb 27 8323 27251 22925 24503 37177 0.80 ULS COMBINATIONS
28 ULS Comb 28 9202 28883 24265 24823 37308 0.84

Relieving Effect
Accompanying
29 ULS Comb 29 8647 24935 19185 23239 38088 0.71
30 ULS Comb 30 8787 26788 23661 25470 36758 0.80
0.87
31 ULS Comb 31 6709 22255 19135 24133 36616 0.67
32 ULS Comb 32 6114 25751 19158 21494 37744 0.74
33 ULS Comb 33 6108 22512 18118 22742 37054 0.66
34 ULS Comb 34 6987 24144 19457 23215 37312 0.71
35 ULS Comb 35 6432 20195 14378 20989 38225 0.57
36 ULS Comb 36 6573 22048 18854 23979 36631 0.66
37 ULS Comb 37 8881 28765 26577 26237 36302 0.87
DL + SIDL Axial Load Adding and

38 ULS Comb 38 8425 31445 26594 24630 37143 0.92


Live Load Accompanying and

39 ULS Comb 39 8420 28961 25797 25463 36626 0.87


ULS COMBINATIONS

40 ULS Comb 40 9295 30860 27180 25609 36835 0.92


Relieving Effect
Wind Leading

41 ULS Comb 41 8647 24935 19185 23239 38088 0.71


42 ULS Comb 42 8881 28765 26577 26237 36302 0.87
0.92
43 ULS Comb 43 6667 24025 21769 24987 36075 0.74
44 ULS Comb 44 6211 26705 21787 23018 36967 0.79
45 ULS Comb 45 6206 24222 20989 24012 36390 0.74
46 ULS Comb 46 7081 26121 22373 24248 36748 0.78
47 ULS Comb 47 6432 20195 14378 20989 38225 0.57
48 ULS Comb 48 6667 24025 21769 24987 36075 0.74

___________________________________________________________________________________________________________________
120
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
49 ULS Comb 49 7952 26899 25976 26627 35700 0.84
50 ULS Comb 50 7952 26899 25976 26627 35700 0.84

DL + SIDL Axial Load Adding


Wind only No Live Load
51 ULS Comb 51 7952 26899 25976 26627 35700 0.84

ULS COMBINATIONS

and Relieving Effect


52 ULS Comb 52 7952 26899 25976 26627 35700 0.84
53 ULS Comb 53 7952 26899 25976 26627 35700 0.84
54 ULS Comb 54 7952 26899 25976 26627 35700 0.84
0.84
55 ULS Comb 55 5738 22160 21168 25443 35241 0.71
56 ULS Comb 56 5738 22160 21168 25443 35241 0.71
57 ULS Comb 57 5738 22160 21168 25443 35241 0.71
58 ULS Comb 58 5738 22160 21168 25443 35241 0.71
59 ULS Comb 59 5738 22160 21168 25443 35241 0.71
60 ULS Comb 60 5738 22160 21168 25443 35241 0.71
61 ULS Comb 61 8474 28911 26904 26204 36176 0.88
62 ULS Comb 62 8474 28911 26904 26204 36176 0.88

DL + SIDL Axial Load Adding


Wind only No Live Load
63 ULS Comb 63 8474 28911 26904 26204 36176 0.88

ULS COMBINATIONS

and Relieving Effect


64 ULS Comb 64 8474 28911 26904 26204 36176 0.88
65 ULS Comb 65 8474 28911 26904 26204 36176 0.88
66 ULS Comb 66 6260 24172 22096 24946 35868 0.75
0.88
67 ULS Comb 67 6260 24172 22096 24946 35868 0.75
68 ULS Comb 68 6260 24172 22096 24946 35868 0.75
69 ULS Comb 69 6260 24172 22096 24946 35868 0.75
70 ULS Comb 70 6260 24172 22096 24946 35868 0.75
71 ULS Comb 71 6260 24172 22096 24946 35868 0.75
72 ULS Comb 72 6260 24172 22096 24946 35868 0.75
73 ULS Comb 73 7739 34134 20059 18930 40133 0.89

Transvesre : 30% : EQ Vertical : Transvesre : 100% : EQ Vertical Transvesre : 30% : EQ Vertical :


Earthquake Combinations EQ
74 ULS Comb 74 7660 34601 20062 18707 40203 0.90

DL + SIDL Axial Load Adding


Longitudinal 100% : EQ
75 ULS Comb 75 7659 34169 19923 18784 40167 0.89

ULS COMBINATIONS

and Relieving Effect


76 ULS Comb 76 7811 34499 20164 18898 40193 0.90
77 ULS Comb 77 7739 34134 20059 18930 40133 0.89
78 ULS Comb 78 5447 29277 15091 15736 39937 0.77

30%
0.90
79 ULS Comb 79 6399 27583 16860 18712 39367 0.74
80 ULS Comb 80 6320 28049 16863 18415 39451 0.75
81 ULS Comb 81 6319 27617 16724 18525 39399 0.74
82 ULS Comb 82 6471 27947 16965 18654 39440 0.75
83 ULS Comb 83 6399 27583 16860 18712 39367 0.74
84 ULS Comb 84 6321 27465 16699 18580 39373 0.74
85 ULS Comb 85 7791 27703 25876 25997 36023 0.85
Earthquake Combinations EQ

86 ULS Comb 86 7712 28169 25879 25690 36180 0.86

DL + SIDL Axial Load Adding


87 ULS Comb 87 7711 27737 25741 25854 36076 0.85
Longitudinal 30% : EQ
ULS COMBINATIONS

and Relieving Effect


88 ULS Comb 88 7863 28067 25981 25877 36134 0.86
89 ULS Comb 89 7714 27585 25715 25935 36030 0.85
: 30%

90 ULS Comb 90 7791 27703 25876 25997 36023 0.85


0.86
91 ULS Comb 91 6451 21151 22677 27814 34194 0.70
92 ULS Comb 92 6372 21617 22680 27391 34416 0.71
93 ULS Comb 93 6371 21185 22541 27644 34253 0.70
94 ULS Comb 94 6523 21515 22782 27623 34348 0.71
95 ULS Comb 95 6373 21033 22516 27752 34191 0.70
96 ULS Comb 96 6451 21151 22677 27814 34194 0.70
97 ULS Comb 97 6771 29817 18236 18946 39504 0.80
Earthquake Combinations EQ

98 ULS Comb 98 6692 30283 18239 18680 39585 0.81


DL + SIDL Axial Load Adding

99 ULS Comb 99 6691 29852 18101 18777 39540 0.80


Longitudinal 30% : EQ
ULS COMBINATIONS

and Relieving Effect

100 ULS Comb 100 6694 29699 18075 18825 39517 0.79
101 ULS Comb 101 6694 29699 18075 18825 39517 0.79
100%

102 ULS Comb 102 4479 24960 13268 15461 39180 0.67
0.81
103 ULS Comb 103 7471 19036 18790 26801 35365 0.60
104 ULS Comb 104 7392 19502 18793 26356 35609 0.61
105 ULS Comb 105 7391 19070 18654 26622 35449 0.60
106 ULS Comb 106 7393 18918 18628 26733 35378 0.60
107 ULS Comb 107 7393 18918 18628 26733 35378 0.60
108 ULS Comb 108 7393 18918 18628 26733 35378 0.60

___________________________________________________________________________________________________________________
121
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
109 ULS Comb 109 6036 19301 13662 20672 38119 0.55

COMBINATION
S ACCIDENTAL

Combinations

Current Load
110 ULS Comb 110 5957 19767 13665 20268 38278 0.55

with Water
Normal
111 ULS Comb 111 5956 19335 13526 20448 38182 0.54

ULS
0.55
112 ULS Comb 112 6108 19665 13767 20545 38234 0.55
113 ULS Comb 113 6063 18716 13697 21204 37861 0.53
114 ULS Comb 114 6036 19301 13662 20672 38119 0.55

Utilization
Max. Utilization Ratio
Ratio
Normal Cases Live Load Leading and Thermal Accompanying = 0.78
Normal Cases Live Load Accompanying and Thermal Leading = 0.78
Normal Cases Live Load Leading and Wind Accompanying = 0.87
Normal Cases Live Load Accompanying and Wind Leading = 0.92
Normal Cases Wind Load Without Live Load = 0.84
Normal Cases Wind Load Without Live Load = 0.88
Seismic Cases EQ Long 100% EQ Trans 30% EQ Vertical 30% = 0.90
Seismic Cases EQ Long 30% EQ Trans 100% EQ Vertical 30% = 0.86
Seismic Cases EQ Long 30% EQ Trans 100% EQ Vertical 30% = 0.81
Accidental Case Barge Impact = 0.55

___________________________________________________________________________________________________________________
122
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
16.5 ULS SHEAR CHECK FOR P2, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 2014
The ULS Shear check is done as per Chapter 10 of IRC 112.
The Shear Check has two components:
1. Section Adequacy: In this check, the adequacy of section is checked for compression failure.
2. Shear Reinforcement: In this check, it is established whether the section needs design shear reinforcement
or the provided longitudinal reinforcement is enough to cater to the Design Shear Force.
If shear reinforcement is required, the same is calculated.
ULS Shear Force is obtained as the following three criterias:
1. ULS Shear Force for R = 1
2. ULS Shear Force from Capacity Design Principles
3. ULS Shear Force from Design Forces without Seismic Effects
The Shear Force for Design is obtained as follows:
Maximum of (3, Minimum of 1 and 2)
Thus, the ULS Shear Forces for R =1 are also required.

ULS FORCES IN PIER FOR R =1


Load Combination P ML MT HL HT Net ML Net MT
S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 9772 10940 949 444 85 10940 949
2 ULS Comb 2 7988 21427 1018 331 89 21427 1018
3 ULS Comb 3 7969 14393 1018 397 89 14393 1018
4 ULS Comb 4 11393 16642 404 448 76 16642 404
5 ULS Comb 5 9364 14244 482 416 78 14244 482
6 ULS Comb 6 9772 10940 949 444 85 10940 949
7 ULS Comb 7 7557 11548 949 418 85 11548 949
8 ULS Comb 8 5774 22035 1018 305 89 22035 1018
9 ULS Comb 9 5755 15001 1018 372 89 15001 1018
10 ULS Comb 10 8392 15917 404 392 76 15917 404
11 ULS Comb 11 7149 14852 482 391 78 14852 482
12 ULS Comb 12 7557 11548 949 418 85 11548 949
13 ULS Comb 13 9332 11926 822 444 83 11926 822
14 ULS Comb 14 7964 19966 875 357 86 19966 875
15 ULS Comb 15 7950 14573 875 409 86 14573 875
16 ULS Comb 16 10575 16297 404 447 76 16297 404
17 ULS Comb 17 9411 12763 482 371 78 12763 482
18 ULS Comb 18 9411 9457 822 368 83 9457 822
19 ULS Comb 19 7117 12534 822 419 83 12534 822
20 ULS Comb 20 5750 20574 875 332 86 20574 875
21 ULS Comb 21 5735 15181 875 383 86 15181 875
22 ULS Comb 22 8360 16905 404 422 76 16905 404
23 ULS Comb 23 7197 13370 482 346 78 13370 482
24 ULS Comb 24 7196 10065 822 343 83 10065 822
25 ULS Comb 25 9960 12223 5089 518 199 12223 5089
26 ULS Comb 26 8176 22710 5157 405 203 22710 5157
27 ULS Comb 27 8157 15675 5157 472 203 15675 5157
28 ULS Comb 28 10795 16592 4543 492 190 16592 4543
29 ULS Comb 29 9411 12763 482 371 78 12763 482
30 ULS Comb 30 9552 12221 4961 489 197 12221 4961
31 ULS Comb 31 7746 12830 5089 493 199 12830 5089
32 ULS Comb 32 5962 23317 5157 380 203 23317 5157
33 ULS Comb 33 5943 16283 5157 447 203 16283 5157
34 ULS Comb 34 8580 17199 4543 467 190 17199 4543
35 ULS Comb 35 7197 13370 482 346 78 13370 482
36 ULS Comb 36 7337 12828 4961 463 197 12828 4961
37 ULS Comb 37 9646 14063 7721 569 272 14063 7721
38 ULS Comb 38 8278 22103 7773 482 275 22103 7773
39 ULS Comb 39 8263 16710 7773 533 275 16710 7773
40 ULS Comb 40 10889 18434 7303 572 265 18434 7303
41 ULS Comb 41 9411 12763 482 371 78 12763 482
42 ULS Comb 42 9646 14063 7721 569 272 14063 7721

___________________________________________________________________________________________________________________
123
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
43 ULS Comb 43 7431 14671 7721 544 272 14671 7721
44 ULS Comb 44 6063 22711 7773 457 275 22711 7773
45 ULS Comb 45 6049 17318 7773 508 275 17318 7773
46 ULS Comb 46 8674 19042 7303 547 265 19042 7303
47 ULS Comb 47 7197 13370 482 346 78 13370 482
48 ULS Comb 48 7431 14671 7721 544 272 14671 7721
49 ULS Comb 49 7822 13609 8489 455 297 13609 8489
50 ULS Comb 50 7822 13609 8489 455 297 13609 8489
51 ULS Comb 51 7822 13609 8489 455 297 13609 8489
52 ULS Comb 52 7822 13609 8489 455 297 13609 8489
53 ULS Comb 53 7822 13609 8489 455 297 13609 8489
54 ULS Comb 54 7822 13609 8489 455 297 13609 8489
55 ULS Comb 55 5608 14217 8489 430 297 14217 8489
56 ULS Comb 56 5608 14217 8489 430 297 14217 8489
57 ULS Comb 57 5608 14217 8489 430 297 14217 8489
58 ULS Comb 58 5608 14217 8489 430 297 14217 8489
59 ULS Comb 59 5608 14217 8489 430 297 14217 8489
60 ULS Comb 60 5608 14217 8489 430 297 14217 8489
61 ULS Comb 61 8344 14824 8489 504 297 14824 8489
62 ULS Comb 62 8344 14824 8489 504 297 14824 8489
63 ULS Comb 63 8344 14824 8489 504 297 14824 8489
64 ULS Comb 64 8344 14824 8489 504 297 14824 8489
65 ULS Comb 65 8344 14824 8489 504 297 14824 8489
66 ULS Comb 66 6130 15432 8489 479 297 15432 8489
67 ULS Comb 67 6130 15432 8489 479 297 15432 8489
68 ULS Comb 68 6130 15432 8489 479 297 15432 8489
69 ULS Comb 69 6130 15432 8489 479 297 15432 8489
70 ULS Comb 70 6130 15432 8489 479 297 15432 8489
71 ULS Comb 71 6130 15432 8489 479 297 15432 8489
72 ULS Comb 72 6130 15432 8489 479 297 15432 8489
73 ULS Comb 73 7616 39634 7887 1370 302 39634 7887
74 ULS Comb 74 7378 41032 7896 1355 303 41032 7896
75 ULS Comb 75 7376 40094 7896 1363 303 40094 7896
76 ULS Comb 76 7832 40394 7815 1370 301 40394 7815
77 ULS Comb 77 7616 39634 7887 1370 302 39634 7887
78 ULS Comb 78 5168 40241 7815 1327 301 40241 7815
79 ULS Comb 79 6276 37047 7887 1124 302 37047 7887
80 ULS Comb 80 6038 38445 7896 1109 303 38445 7896
81 ULS Comb 81 6035 37507 7896 1118 303 37507 7896
82 ULS Comb 82 6492 37807 7815 1124 301 37807 7815
83 ULS Comb 83 6276 37047 7887 1124 302 37047 7887
84 ULS Comb 84 6042 37046 7815 1107 301 37046 7815
85 ULS Comb 85 7772 20201 25179 707 826 20201 25179
86 ULS Comb 86 7534 21599 25188 692 826 21599 25188
87 ULS Comb 87 7532 20661 25188 701 826 20661 25188
88 ULS Comb 88 7988 20961 25106 707 825 20961 25106
89 ULS Comb 89 7539 20199 25106 690 825 20199 25106
90 ULS Comb 90 7772 20201 25179 707 826 20201 25179
91 ULS Comb 91 6432 17614 25179 461 826 17614 25179
92 ULS Comb 92 6194 19012 25188 446 826 19012 25188
93 ULS Comb 93 6192 18074 25188 455 826 18074 25188
94 ULS Comb 94 6648 18374 25106 462 825 18374 25106
95 ULS Comb 95 6199 17613 25106 444 825 17613 25106
96 ULS Comb 96 6432 17614 25179 461 826 17614 25179
97 ULS Comb 97 6752 23928 7887 964 302 23928 7887
98 ULS Comb 98 6514 25326 7896 949 303 25326 7896
99 ULS Comb 99 6512 24388 7896 958 303 24388 7896
100 ULS Comb 100 6519 23927 7815 947 301 23927 7815
101 ULS Comb 101 6519 23927 7815 947 301 23927 7815
102 ULS Comb 102 4304 24534 7815 922 301 24534 7815
103 ULS Comb 103 7452 13887 7887 203 302 13887 7887

___________________________________________________________________________________________________________________
124
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
104 ULS Comb 104 7214 15285 7896 188 303 15285 7896
105 ULS Comb 105 7212 14347 7896 197 303 14347 7896
106 ULS Comb 106 7219 13886 7815 186 301 13886 7815
107 ULS Comb 107 7219 13886 7815 186 301 13886 7815
108 ULS Comb 108 7219 13886 7815 186 301 13886 7815
109 ULS Comb 109 6062 10882 477 287 78 10882 477
110 ULS Comb 110 5824 12281 486 272 78 12281 486
111 ULS Comb 111 5821 11343 486 281 78 11343 486
112 ULS Comb 112 6278 11643 404 288 76 11643 404
113 ULS Comb 113 6088 10634 418 263 77 10634 418
114 ULS Comb 114 6062 10882 477 287 78 10882 477
Max Values 11393 41032 25188 1370 826 41032 25188

The ULS Shear check is done for the Maximum Shear Force obtained. The formulations of cl. 10.3.2 of
IRC 112 are used.
As per IRC 112 cl. 10.3.2, the shear capacity of shear not requiring design shear reinforcement is
.33
VRd,c = (.12K(80ρlfck) + .15 σcp) bwd subject to min. of (vmin + .15 σcp)bwd
Fck = Concrete Compressive Strength
bw = Section Width for Design
D = Total Depth of Section
d = Effective Depth of Section
VEd = ULS Shear Force

Check for Section Adequacy


The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Longitudinal Direction
Maximum Shear Force = 790 t
Shear Force with R =1 = 1370 t
Capacity Moment = 41412 tm
Pier Height = 51.20 m
Design Shear Force = 1370 t
Depth of Section = 5250 mm
Width of the Section Twice the Web Width = 1000 mm
Effective Cover = 98 mm
Effective Depth = 5152 mm

Calculation of Maximum Allowable Shear Force (Corresponding to θ = 45 Degree)


Maximum Shear Capacity Vrd,max = αcw x bw x z x v1 x fcd
(cot θ + tan θ )
Axial Load in Pier DL + SIDL t
State of Stress in Compression Chord σcp = 11.43 N/mm2
Taken for Unfactored DL + SIDL only αcw = 1.00
Width of Section bw = 1000 mm
Effective Depth of Section z = 5152 mm
Lever Arm
2
Compressive Strength fck = 50 N/mm
v1 v1 = 0.503
2
Design Compressive Strength fcd = 22.33 N/mm
Angle of Strut θ = 45 Degrees
Maximum Shear Capacity of Section Vrd,max = 2950 t
OK

___________________________________________________________________________________________________________________
125
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Calculation of Shear Capacity of Section Without Shear Reinforcement as per cl. 10.3.2 of IRC 112
Width of Section b = 1000 mm
Effective Depth of Section d = 5152.0 mm
2
State of Stress in Compression Chord σcp = 11.43 N/mm
K K = 1.197
2
Fck Fck = 50 N/mm
2
Provided Reinforcement (Tension Side) Ast = 181913 mm
Taken as Half of the Reinforcement Provided
2
Area Apier = 5152000 mm
Reinforcement Ratio ρ = 0.03531
2
νmin ν = 0.287 N/mm
2
ν .12K(80xρxFck)^.33 considering Reinforcement ν = 0.748 N/mm
Vrd,c Vrd,c = 1293 t
Design Shear Force Vd = 1370 t
Design Shear Reinforcement

Calculation of Strut Angle for Minimum Shear Reinforcement by equating Vrd,max to VNS
Design Shear Force VNS = 1370 t
Strut Angle for Vrd,max = VNS θ = 13.83 Deg
Minimum Strut Angle as per the Code θ min = 21.8 Deg
Adopted Strut Angle θadopted = 37.5 Deg

Calculation of Shear Reinforcement Required


Design Shear Force VRd,s = 1370 t
Adopted Strut Angle θadopted = 38 Deg
Spacing s = 150 mm
Lever Arm z = 4636.8 mm
2
Yield Stress of Reinforcement fyk = 500 N/mm
Design Yield Stress of Reinforcement fywd = 435 mm
2
Required Shear Reinforcement Asw = 766 mm

Calculation of Minimum Shear Reinforcement as per Chapter 16 of IRC 112


2
Characteristic Strength of Concrete fck = 50 N/mm
2
Yield Strength of Steel fyk = 500 N/mm
Minimum Shear Reinforcement Ratio ρw,min = 0.001018
Angle Between Shear Reinforcement and Longitudinal Axis α = 90 Deg
Width of Member bw = 1000 mm
Adopted Spacing S = 150 mm
2
Minimum Shear Reinforcement Area Asw,min = 153 mm

___________________________________________________________________________________________________________________
126
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Check for Section Adequacy


The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Transverse Direction
Maximum Shear Force = 327 t
Shear Force with R =1 = 826 t
Capacity Moment = 45917 tm
Pier Height = 51.20 m
Design Shear Force = 826 t
Depth of Section = 4500 mm
Width of the Section Taken as Twice the Web Width = 2500 mm
Effective Cover = 98 mm
Effective Depth = 4402 mm

Calculation of Maximum Allowable Shear Force (Corresponding to θ = 45 Degree)


Maximum Shear Capacity Vrd,max = αcw x bw x z x v1 x fcd
(cot θ + tan θ )
Axial Load in Pier DL + SIDL t
State of Stress in Compression Chord σcp = 5.35 N/mm2
Taken for Unfactored DL + SIDL only αcw = 1.24
Width of Section bw = 2500 mm
Effective Depth of Section z = 4402 mm
Lever Arm
2
Compressive Strength fck = 50 N/mm
v1 v1 = 0.503
2
Design Compressive Strength fcd = 22.33 N/mm
Angle of Strut θ = 45 Degrees
Maximum Shear Capacity of Section Vrd,max = 7812 t
OK
Calculation of Shear Capacity of Section Without Shear Reinforcement as per cl. 10.3.2 of IRC 112
Width of Section b = 2500 mm
Effective Depth of Section d = 4402.0 mm
2
State of Stress in Compression Chord σcp = 5.35 N/mm
K K = 1.213
2
Fck Fck = 50 N/mm
2
Provided Reinforcement (Tension Side) Ast = 181913 mm
Taken as Half of the Reinforcement Provided
2
Area Apier = 5152000 mm
Reinforcement Ratio ρ = 0.03531
2
νmin ν = 0.293 N/mm
2
ν .12K(80xρxFck)^.33 considering Reinforcement ν = 0.758 N/mm
Vrd,c Vrd,c = 1751 t
Design Shear Force Vd = 826 t
Since Vrd,c > Vd Provide Minimum Shear Reinforcement

Calculation of Strut Angle for Minimum Shear Reinforcement by equating Vrd,max to VNS
Design Shear Force VNS = 826 t
Strut Angle for Vrd,max = VNS θ = 3.03 Deg
Minimum Strut Angle as per the Code θ min = 21.8 Deg
Adopted Strut Angle θadopted = 37.5 Deg

Calculation of Shear Reinforcement Required


Design Shear Force VRd,s = 826 t
Adopted Strut Angle θadopted = 38 Deg
Spacing s = 150 mm

___________________________________________________________________________________________________________________
127
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Lever Arm z = 3961.8 mm
2
Yield Stress of Reinforcement fyk = 500 N/mm
Design Yield Stress of Reinforcement fywd = 435 mm
2
Required Shear Reinforcement Asw = 541 mm

Calculation of Minimum Shear Reinforcement as per Chapter 16 of IRC 112


2
Characteristic Strength of Concrete fck = 50 N/mm
2
Yield Strength of Steel fyk = 500 N/mm
Minimum Shear Reinforcement Ratio ρw,min = 0.001018
Angle Between Shear Reinforcement and Longitudinal Axis α = 90 Deg
Width of Member bw = 2500 mm
Adopted Spacing S = 150 mm
2
Minimum Shear Reinforcement Area Asw,min = 382 mm

___________________________________________________________________________________________________________________
128
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
2 SLS RARE DESIGN FORCES FOR P2, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 2014
The SLS Rare stress checks are done for short term modulus of elasticity.
2
Modulus of Elasticity of Concrete = 35000 N/mm
2
Modulus of Elasticity of Steel = 200000 N/mm
Modular Ratio m = 5.71

Allowable Stresses
2
Permissible Stress in Concrete = 24 N/mm
2
Permissible Stress in Steel = 400 N/mm

Inc. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS Rare Comb 1 6399 8224 525 366 82 8547 847
2 SLS Rare Comb 2 6002 10555 541 291 85 10857 843
3 SLS Rare Comb 3 5998 8992 541 335 85 9294 842
4 SLS Rare Comb 4 6759 9491 404 369 76 9832 744
5 SLS Rare Comb 5 6430 8195 427 338 78 8519 750
6 SLS Rare Comb 6 6430 7237 525 336 82 7560 849
7 SLS Rare Comb 7 6342 8093 525 361 82 8412 845
8 SLS Rare Comb 8 5946 10423 541 285 85 10723 840
9 SLS Rare Comb 9 5942 8860 541 330 85 9159 840
10 SLS Rare Comb 10 6702 9360 404 364 76 9697 742
11 SLS Rare Comb 11 6374 8063 427 332 78 8384 748
12 SLS Rare Comb 12 6342 8093 525 361 82 8412 845
13 SLS Rare Comb 13 6280 8713 91 333 5 9029 407
14 SLS Rare Comb 14 5983 10461 102 276 7 10762 403
15 SLS Rare Comb 15 5980 9288 102 310 7 9589 403
16 SLS Rare Comb 16 6550 9663 0 335 0 9993 330
17 SLS Rare Comb 17 6333 7786 17 284 1 8104 336
18 SLS Rare Comb 18 5989 8712 0 269 0 9013 301
19 SLS Rare Comb 19 6224 8582 91 327 5 8895 404
20 SLS Rare Comb 20 5926 10329 102 271 7 10628 401
21 SLS Rare Comb 21 5923 9157 102 304 7 9455 400
22 SLS Rare Comb 22 6494 9532 0 330 0 9859 327
23 SLS Rare Comb 23 6277 7654 17 279 1 7970 333
24 SLS Rare Comb 24 5932 8580 0 263 0 8879 299
25 SLS Rare Comb 25 6524 9079 3285 416 158 9408 3613
26 SLS Rare Comb 26 6128 11410 3300 341 161 11718 3609
27 SLS Rare Comb 27 6123 9847 3300 385 161 10155 3608
28 SLS Rare Comb 28 6884 10346 3164 419 152 10693 3510
29 SLS Rare Comb 29 6430 8195 427 338 78 8519 750
30 SLS Rare Comb 30 6524 9079 3285 416 158 9408 3613
31 SLS Rare Comb 31 6468 8948 3285 411 158 9273 3610
32 SLS Rare Comb 32 6071 11278 3300 335 161 11584 3606
33 SLS Rare Comb 33 6067 9715 3300 380 161 10020 3605
34 SLS Rare Comb 34 6828 10215 3164 413 152 10558 3507
35 SLS Rare Comb 35 6374 8063 427 332 78 8384 748
36 SLS Rare Comb 36 6468 8948 3285 411 158 9273 3610
37 SLS Rare Comb 37 6489 10307 5094 448 207 10634 5421
38 SLS Rare Comb 38 6192 12055 5106 391 209 12367 5417
39 SLS Rare Comb 39 6189 10883 5106 425 209 11194 5417
40 SLS Rare Comb 40 6760 11257 5003 450 202 11598 5344
41 SLS Rare Comb 41 6489 11026 5020 450 204 11352 5347
42 SLS Rare Comb 42 6489 10307 5094 448 207 10634 5421
43 SLS Rare Comb 43 6433 10176 5094 443 207 10499 5418
44 SLS Rare Comb 44 6136 11923 5106 386 209 12232 5415
45 SLS Rare Comb 45 6132 10751 5106 420 209 11060 5414
46 SLS Rare Comb 46 6703 11126 5003 445 202 11463 5341
47 SLS Rare Comb 47 6433 10894 5020 444 204 11218 5344

___________________________________________________________________________________________________________________
129
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
48 SLS Rare Comb 48 6433 10176 5094 443 207 10499 5418
49 SLS Rare Comb 49 6225 10817 5794 406 224 11130 6107
50 SLS Rare Comb 50 6225 10817 5794 406 224 11130 6107
51 SLS Rare Comb 51 6225 10817 5794 406 224 11130 6107
52 SLS Rare Comb 52 6225 10817 5794 406 224 11130 6107
53 SLS Rare Comb 53 6225 10817 5794 406 224 11130 6107
54 SLS Rare Comb 54 6225 10817 5794 406 224 11130 6107
55 SLS Rare Comb 55 6168 10686 5794 401 224 10996 6104
56 SLS Rare Comb 56 6168 10686 5794 401 224 10996 6104
57 SLS Rare Comb 57 6168 10686 5794 401 224 10996 6104
58 SLS Rare Comb 58 6168 10686 5794 401 224 10996 6104
59 SLS Rare Comb 59 6168 10686 5794 401 224 10996 6104
60 SLS Rare Comb 60 6168 10686 5794 401 224 10996 6104
Max Values 6884 11410 3300 419 161 11718 3613
The Sorting of SLS Rare Design Forces is done as follows:
1. Maximum Axial Force and Resultant Moment
2. Minimum Axial Force and Minimum Moment
3. Maximum Resultant Moment and Corresponding Axial Force.

Max. Compression Stress 15.09 Mpa


Governing Load Combination SLS Rare Comb 38
Allowable Compression Stress 24 Mpa

Max. Tension Stress 76.24 Mpa


Governing Load Combination SLS Rare Comb 38
Allowable Compression Stress 400 Mpa

___________________________________________________________________________________________________________________
130
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

3 SLS QUASI PERMANENT FORCES FOR P2, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 2014
The SLS Rare stress checks are done for both short term and long term modulus of elasticity.
2
Modulus of Elasticity of Concrete = 35000 N/mm
2
Modulus of Elasticity of Steel = 200000 N/mm
Modular Ratio m Short Term = 5.71
Creep Coefficient for Piles = 1.5
Modular Ratio m Long Term = 14.3
Inc. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS QP Comb 1 6015 7889 0 244 0 8191 303
2 SLS QP Comb 2 6015 7889 0 244 0 8191 303

___________________________________________________________________________________________________________________
131
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
CRACK WIDTH CHECK FOR P2, PIER BOTTOM ANALYSIS MODEL ELEMENT NO. 2014
The calculation of crack width is done as per cl. 12.3.4 of IRC 112.
The crack width Wk is computed as
Crack Width, Wk = Sr,max (εsm - εcm)
where,
εsm = Mean Strain in Reinforcement Under Loads
εcm = Mean Strain in the Concrete between Cracks

where,
σsc = Stress in Tension Reinforcement
αe = Es/Ecm Long Term is Adopted
εcm = Mean Strain in the Concrete between Cracks
Es = Modulus of Elasticity of Steel
Ecm = Modulus of Elasticity of Concrete
ρp,eff = As/Ac,eff
Ac,eff = Effective Area of Concrete in Tension Surrounding
Ac,eff the reinforcement of Depth hcef
hcef = Lesser of 2.5(h-d);(h-x)/3;h/2
kt = Factor Dependent on Duration of Load

k1 = Factor for Bond Properties of the Bonded Reinf.


k1 = 0.8
k2 = Coefficient which takes account of the distribution of
strain
k2 = 0.5 For Bending
Allowable Crack Width Wk = 0.3 mm
Clear Cover = 50 mm
Diameter of Link = 20 mm
Total Cover For Longitudinal Reinforcement = 70 mm
Clear Cover Adopted for Crack Width Calculation c = 50 mm
As per cl. 12.3.4 of IRC 112
Maximum Bar Spacing S = 150 mm
Reinforcement Diameter φ = 32 mm
Check for Sr,max calculation 5 (c+φ /2) = 330 mm
Maximum Crack Spacing Sr,max = 3.4 c + .425 k1 k2 φ / ρeff
k1 k1 = 0.8
k2 k2 = 0.5
Depth of Neutral Axis x = 130 mm
2
Ac,eff Ac,eff = 165000 mm
Ac,eff = 0 implies, no part of section is in tension for the given loading
2
Reinforcement Area As = 363825 mm
Reinforcement Ratio ρeff = 2.2050
Maximum Crack Spacing Sr,max = 172.5 mm
2
Max Stress in Reinforcement σsc = 0 N/mm
2
fct,eff fct,eff = 2.5 N/mm
Creep Coefficient φc = 1.5
αs αs = 14.3
kt kt = 0.5
(εsm - εcm) (εsm - εcm) = 0
Crack Width Wk = 0.00 mm OK

___________________________________________________________________________________________________________________
132
Project
M/s. Bharat Constructions Pvt. Ltd. MJB
50+100+
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on 50
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

17 SUMMARY OF FORCES AT BOTTOM OF FOUNDATION FOR DESIGN OF FOUNDATIONS


The following is the Summary of Forces for the Design of Foundation.
Response Reduction Factor in Model, Long, Direction 3.000
Response Reduction Factor in Model, Trans. Direction 3.000
Utilization Ratio of Pier for Seismic Long. Direction Min. of two Piers 0.84
Utilization Ratio of Pier for Seismic Trans. Direction Min. of two Piers 0.78
Amplification Required from Analysis Model, Long. Direction 1.609
Amplification Required from Analysis Model, Trans. Direction 1.721

Analysis Model Element Number


Element
S.No. Location FDN Weight
No.
1 P1 1015 2250
2 P2 2015 2250

Number of Structures with common foundation 1


Soil Back Fill Weight Length Width Area Fill Depth Weight
Pier P1 16.5 16.5 272.25 1.5 817
Pier P2 16.5 16.5 272.25 1.5 816.75

1 Foundation Location P1
P1
Analysis Model Element Number 1015
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR

Long. Trans. Long. Trans.


P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment

t tm tm t t t tm tm t t
1 Dead Load 7068 139 0 0 0 7068 139 0 0 0
2 SIDL Crash Barrier 159 -242 0 15 0 159 -242 0 15 0
3 SIDL Wearing Course 283 -430 0 26 0 283 -430 0 26 0
4 Soil Back Fill 817 817 0 0 0 0
5 LL-Pmax 391 -462 166 80 7 391 -462 166 80 7
6 LL-Max. ML 383 -2557 166 16 7 383 -2557 166 16 7
7 LL-Max. MT -12 -1000 290 111 8 -12 -1000 290 111 8
8 LL-Congestion 751 -1779 0 52 0 751 -1779 0 52 0
9 LL-SV Loading 390 -1685 36 37 2 390 -1685 36 37 2
10 Tendon Secondary -67 -1936 0 83 0 -67 -1936 0 83 0
11 Temperature -52 -1349 0 50 0 -52 -1349 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
Wind Forces
13 0 0 8414 0 211 0 0 8414 0 211
Transverse (No LL)
Wind Forces
14 13 -5006 0 189 0 13 -5006 0 189 0
Longitudinal (No LL)
Wind Forces Vertical
15 175 -265 0 16 0 175 -265 0 16 0
(No LL)
Wind Forces
16 0 0 7172 0 180 0 0 7172 0 180
Transverse (With LL)
Wind Forces
17 11 -4291 0 162 0 11 -4291 0 162 0
Longitudinal (With LL)
Wind Forces Vertical
18 149 -226 0 14 0 149 -226 0 14 0
(With LL)

___________________________________________________________________________________________________________________
133
Project
M/s. Bharat Constructions Pvt. Ltd. MJB
50+100+
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length major bridge on 50
Document CIPL-MJB-1+055.734-DGN-001
Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC mode in the State of Uttrakhand
Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

19 Creep Secondary 27 -1525 0 46 0 27 -1525 0 46 0


20 Shrinkage Secondary 19 -1409 0 42 0 19 -1409 0 42 0
21 Water Current 0 -262 609 27 65 0 -262 609 27 65
22 EQ Transverse 0 0 8174 0 197 0 0 14070 0 340
23 EQ Longitudinal -75 -10940 0 357 0 -75 -17601 0 574 0
24 EQ Vertical -805 -4183 0 231 0 -805 -4183 0 231 0

2 Foundation Location P2
P2
Analysis Model Element Number 2015
FORCES FROM ANALYSIS MODEL FORCES AS PER ACTUAL ALPHA AND R FACTOR
Long. Trans. Long. Trans.
P HL HT P HL HT
S.No. Load Case Moment Moment Moment Moment
t tm tm t t t tm tm t t
1 Dead Load 7813 -43 0 0 0 7813 -43 0 0 0
2 SIDL Crash Barrier 159 437 0 15 0 159 437 0 15 0
3 SIDL Wearing Course 283 776 0 26 0 283 776 0 26 0
4 Soil Back Fill 817 817 0 0 0 0
5 LL-Pmax 389 43 151 85 6 389 43 151 85 6
6 LL-Max. ML -7 2715 156 10 9 -7 2715 156 10 9
7 LL-Max. MT -12 952 156 54 9 -12 952 156 54 9
8 LL-Congestion 749 1501 0 88 0 749 1501 0 88 0
9 LL-SV Loading 389 1092 24 87 2 389 1092 24 87 2
10 Tendon Secondary -65 2838 0 83 0 -65 2838 0 83 0
11 Temperature -53 1873 0 50 0 -53 1873 0 50 0
12 Buoyancy 0 0 0 0 0 0 0 0 0 0
Wind Forces
13 0 0 6052 0 147 0 0 6052 0 147
Transverse (No LL)
Wind Forces
14 9 3805 0 139 0 9 3805 0 139 0
Longitudinal (No LL)
Wind Forces Vertical
15 174 478 0 16 0 174 478 0 16 0
(No LL)
Wind Forces
16 0 0 5166 0 126 0 0 5166 0 126
Transverse (With LL)
Wind Forces
17 8 3265 0 120 0 8 3265 0 120 0
Longitudinal (With LL)
Wind Forces Vertical
18 148 408 0 14 0 148 408 0 14 0
(With LL)
19 Creep Secondary 27 2120 0 46 0 27 2120 0 46 0
20 Shrinkage Secondary 19 1763 0 42 0 19 1763 0 42 0
21 Water Current 0 314 748 32 76 0 314 748 32 76
22 EQ Transverse 0 0 6149 0 167 0 0 10584 0 288
23 EQ Longitudinal -50 7078 0 211 0 -50 11387 0 339 0
24 EQ Vertical -974 4634 0 246 0 -974 4634 0 246 0

___________________________________________________________________________________________________________________
134
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
18 DESIGN OF FOUNDATION RAFT OF P1
The Design of Open Foundation is covered in this Section.
1. Geotechnical Design:
The Geotechnical Deisgn Covers the Maximum SBC requirements for the working combinations.
The Working Combinations for the Geotechnical Design are obtained from IRC 78.
2. Structural Design:
2.1. Ultimate Limit State
Ultimate Limit State is done for the Flexure as well as Shear.
2.2. Serviceability Limit State
The maximum stress in concrete and reinforcement is checked in this limit state.
The crack width check is also done.

18.1 FOUNDATION DESIGN PARAMETERS OF PILES AT P1


Foundation to be Designed For P1

Length = 16.5 m
Width = 16.5 m
Depth at Pier Edge = 4.0 m
Depth at Edge of Foundation = 2.25 m
Area = 272.25 m2
I long for Base Pressure Calculations = 6176.7 m4
I trans for Base Pressure Calculations = 6176.7 m4
Lever Arm in Long Direction = 8.25 m
Lever Arm in Trans Direction = 8.25 m
I/y Long Direction = 749 m3
I/y Trans Direction = 749 m3
Plan Area of Foundation = 272 m2
Concrete Grade = 45 N/mm2
Fct = 1.9 N/mm2
Modulus of Elasticity = 32000 N/mm2
Creep Coefficient = 1.5
Calculation of Additional Eccentricity due to Imperfections
The additional eccentricity due to imperfections is obtained from cl. 11.3.2.2 of IRC 112.
The additional eccentricity is calculated as per the expression shown below.
Additional Eccentricity e = 15 + Lo/800
where,
Lo is the Height of the Pier
Lo = 44948 mm
Additional Eccentricity (Geometric Imperfection) e = 71.19 mm

___________________________________________________________________________________________________________________
135
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Pier Width = 5250 mm
Pier Length = 4500 mm

Eccentricity Between Pier Center and Open Fdn Center Long. = 0.00 m
Eccentricity Between Pier Center and Open Fdn Center Trans. = 0.00 m
Depth of Soil Fill over Open Fdn = 1.50 m
Additional Soil Fill over Open Fdn = 0.00 m
Live Load Surcharge over Open Fdn = 0.00 t/m2
Total Additional Pressure over Open Fdn Due to Soil Fill + Add. Soil Fill = 3.00 t/m2
Area of Open Fdn = 272.3 m2
Area of Pier = 21.64 m2

Live Load Surcharge Weight = 0 tons


Note: Veritcal Load is Taken at Mid Height of the Pier for the Calculation of Imperfection Moments.

___________________________________________________________________________________________________________________
136
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

18.2 WORKING COMBINATION FORCES P1 AT BOTTOM OF PILE CAP Incl. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 Work. Comb I a 8644 7477 775 371 71 7946 1244
2 Work. Comb I b 8637 9572 775 306 71 10113 1316
3 Work. Comb I c 8241 8015 899 402 73 8529 1413
4 Work. Comb I d 9005 8795 609 343 65 9361 1176
5 Work. Comb I e 8697 7351 645 278 66 7897 1190
6 Work. Comb I f 8644 7477 775 371 71 8018 1316
7 Work. Comb II i a 8857 10645 7947 496 251 11201 8502
8 Work. Comb II i b 8849 12740 7947 432 251 13296 8502
9 Work. Comb II i c 8454 11184 8071 527 253 11712 8600
10 Work. Comb II i d 9058 7446 609 293 65 8017 1180
11 Work. Comb II i e 8697 7351 645 278 66 7897 1190
12 Work. Comb II i f 8644 7477 775 371 71 8018 1316
13 Work. Comb II i g 8441 12286 9024 496 276 12812 9550
14 Work. Comb II i h 8441 12286 9024 496 276 12812 9550
15 Work. Comb II i i 8441 12286 9024 496 276 12812 9550
16 Work. Comb II i j 8441 12286 9024 496 276 12812 9550
17 Work. Comb II i k 8441 12286 9024 496 276 12812 9550
18 Work. Comb II i l 8441 12286 9024 496 276 12812 9550
19 Work. Comb II ii a 8257 24708 642 881 66 25205 1139
20 Work. Comb II ii b 8255 25127 642 868 66 25624 1139
21 Work. Comb II ii c 8176 24816 667 887 66 25307 1158
22 Work. Comb II ii d 8329 24972 609 876 65 25473 1111
23 Work. Comb II ii e 8179 24616 609 865 65 25107 1100
24 Work. Comb II ii f 8257 24708 642 881 66 25205 1139
25 Work. Comb II ii g 8332 7108 14713 307 406 7605 15210
26 Work. Comb II ii h 8331 7527 14713 294 406 8024 15210
27 Work. Comb II ii i 8251 7215 14737 313 406 7708 15230
28 Work. Comb II ii j 8404 7371 14679 301 404 7874 15182
29 Work. Comb II ii k 8306 5667 14679 240 404 6163 15176
30 Work. Comb II ii l 8332 7108 14713 307 406 7605 15210
31 Work. Comb II ii m 7527 11291 642 538 66 11739 1091
32 Work. Comb II ii n 7525 11710 642 525 66 12158 1091
33 Work. Comb II ii o 7446 11399 667 544 66 11841 1110
34 Work. Comb II ii p 7599 11554 609 532 65 12008 1063
35 Work. Comb II ii q 7579 10187 616 478 65 10639 1069
36 Work. Comb II ii r 7449 11199 609 522 65 11642 1052
37 Work. Comb II iii a 8644 7477 775 371 71 8018 1316
38 Work. Comb II iii b 8637 9572 775 306 71 10113 1316
39 Work. Comb II iii c 8241 8015 899 402 73 8529 1413
40 Work. Comb II iii d 9005 8795 609 343 65 9361 1176
41 Work. Comb II iii e 8763 5415 645 194 66 5965 1194
42 Work. Comb II iii f 8644 7477 775 371 71 8018 1316

___________________________________________________________________________________________________________________
137
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

BEARING STRESS AT 4 CORNERS OF OPEN FOUNDATION


The working stresses are 4 corners of the open foundation are computed in this section.

BEARING STRESSES AT BOTTOM OF OPEN FOUNDATION WITHOUT REDISTRIBUTION


Load Combination P Net ML Net MT P1 P2 P3 P4 Load Combination
S.No. 2 2 2 2
Units t tm tm t/m t/m t/m t/m Description
1 Work. Comb I a 8644 7946 1244 44.0 40.7 22.8 19.5

COMBINATION
2 Work. Comb I b 8637 10113 1316 47.0 43.5 20.0 16.5

IRC 78
3 Work. Comb I c 8241 8529 1413 43.6 39.8 20.8 17.0

I
4 Work. Comb I d 9005 9361 1176 47.2 44.0 22.1 19.0
5 Work. Comb I e 8697 7897 1190 44.1 40.9 23.0 19.8
6 Work. Comb I f 8644 8018 1316 44.2 40.7 22.8 19.3
7 Work. Comb II i a 8857 11201 8502 58.8 36.1 28.9 6.2
8 Work. Comb II i b 8849 13296 8502 61.6 38.9 26.1 3.4

IRC 78 COMBINATION II
9 Work. Comb II i c 8454 11712 8600 58.2 35.2 26.9 3.9
10 Work. Comb II i d 9058 8017 1180 45.6 42.4 24.1 21.0

WIND CASES
11 Work. Comb II i e 8697 7897 1190 44.1 40.9 23.0 19.8
12 Work. Comb II i f 8644 8018 1316 44.2 40.7 22.8 19.3
13 Work. Comb II i g 8441 12812 9550 60.9 35.4 26.6 1.1
14 Work. Comb II i h 8441 12812 9550 60.9 35.4 26.6 1.1
15 Work. Comb II i i 8441 12812 9550 60.9 35.4 26.6 1.1
16 Work. Comb II i j 8441 12812 9550 60.9 35.4 26.6 1.1
17 Work. Comb II i k 8441 12812 9550 60.9 35.4 26.6 1.1
18 Work. Comb II i l 8441 12812 9550 60.9 35.4 26.6 1.1
19 Work. Comb II ii a 8257 25205 1139 65.5 62.5 -1.8 -4.9
COMBINATION

Long. Capacity

20 Work. Comb II ii b 8255 25624 1139 66.1 63.0 -2.4 -5.4


Forces
IRC 78

21 Work. Comb II ii c 8176 25307 1158 65.4 62.3 -2.2 -5.3


II

22 Work. Comb II ii d 8329 25473 1111 66.1 63.1 -1.9 -4.9


23 Work. Comb II ii e 8179 25107 1100 65.0 62.1 -2.0 -5.0
24 Work. Comb II ii f 8257 25205 1139 65.5 62.5 -1.8 -4.9
25 Work. Comb II ii g 8332 7605 15210 61.1 20.4 40.8 0.1
COMBINATION COMBINATION

26 Work. Comb II ii h 8331 8024 15210 61.6 21.0 40.2 -0.4


Capacity
Forces
IRC 78

Trans.

27 Work. Comb II ii i 8251 7708 15230 60.9 20.3 40.4 -0.3


II

28 Work. Comb II ii j 8404 7874 15182 61.7 21.1 40.6 0.1


29 Work. Comb II ii k 8306 6163 15176 59.0 18.5 42.5 2.0
30 Work. Comb II ii l 8332 7605 15210 61.1 20.4 40.8 0.1
31 Work. Comb II ii m 7527 11739 1091 44.8 41.9 13.4 10.5
Vertical: 100

32 Work. Comb II ii n 7525 12158 1091 45.3 42.4 12.9 9.9


Long. : 130
Trans.: 30
IRC 78

33 Work. Comb II ii o 7446 11841 1110 44.6 41.7 13.0 10.1


II

34 Work. Comb II ii p 7599 12008 1063 45.4 42.5 13.3 10.5


35 Work. Comb II ii q 7579 10639 1069 43.5 40.6 15.1 12.2
36 Work. Comb II ii r 7449 11642 1052 44.3 41.5 13.2 10.4

___________________________________________________________________________________________________________________
138
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
37 Work. Comb II iii a 8644 8018 1316 44.2 40.7 22.8 19.3

COMBINATION
38 Work. Comb II iii b 8637 10113 1316 47.0 43.5 20.0 16.5

IRC 78
39 Work. Comb II iii c 8241 8529 1413 43.6 39.8 20.8 17.0

III
40 Work. Comb II iii d 9005 9361 1176 47.2 44.0 22.1 19.0
41 Work. Comb II iii e 8763 5965 1194 41.8 38.6 25.8 22.6
42 Work. Comb II iii f 8644 8018 1316 44.2 40.7 22.8 19.3

LENGTH OF FOUNDATION IN TENSION ALONG THE EDGES


LENGTH ALONG LENGTH ALONG LENGTH ALONG LENGTH ALONG
Net FDN
P1-P2 P1-P3 P2-P4 P4-P3
Load Combination Area in
S.No. Length in Length in Length in Length in
Length Length Length Length Comp.
Tension Tension Tension Tension
Units m m m m m m m m m2
1 Work. Comb I a 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
2 Work. Comb I b 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
3 Work. Comb I c 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
4 Work. Comb I d 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
5 Work. Comb I e 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
6 Work. Comb I f 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
7 Work. Comb II i a 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
8 Work. Comb II i b 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
9 Work. Comb II i c 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
10 Work. Comb II i d 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
11 Work. Comb II i e 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
12 Work. Comb II i f 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
13 Work. Comb II i g 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
14 Work. Comb II i h 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
15 Work. Comb II i i 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
16 Work. Comb II i j 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
17 Work. Comb II i k 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
18 Work. Comb II i l 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
19 Work. Comb II ii a 16.50 0 16.5 0.4 16.5 1.2 16.5 16.5 253
20 Work. Comb II ii b 16.50 0 16.5 0.6 16.5 1.3 16.5 16.5 251
21 Work. Comb II ii c 16.50 0 16.5 0.5 16.5 1.3 16.5 16.5 251
22 Work. Comb II ii d 16.50 0 16.5 0.5 16.5 1.2 16.5 16.5 253
23 Work. Comb II ii e 16.50 0 16.5 0.5 16.5 1.2 16.5 16.5 252
24 Work. Comb II ii f 16.50 0 16.5 0.4 16.5 1.2 16.5 16.5 253
25 Work. Comb II ii g 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
26 Work. Comb II ii h 16.50 0 16.5 0.0 16.5 0.3 16.5 0.2 272
27 Work. Comb II ii i 16.50 0 16.5 0.0 16.5 0.3 16.5 0.1 272
28 Work. Comb II ii j 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
29 Work. Comb II ii k 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
30 Work. Comb II ii l 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
31 Work. Comb II ii m 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
32 Work. Comb II ii n 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
33 Work. Comb II ii o 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
34 Work. Comb II ii p 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
35 Work. Comb II ii q 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
36 Work. Comb II ii r 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
37 Work. Comb II iii a 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
38 Work. Comb II iii b 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
39 Work. Comb II iii c 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
40 Work. Comb II iii d 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
41 Work. Comb II iii e 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
42 Work. Comb II iii f 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272

___________________________________________________________________________________________________________________
139
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
CHECK OF MAXIMUM AREA IN TENSION AND CALCULATION OF MAXIMUM STRESS WITH REDUCED AREA
BEFORE REDISTRIBUTION AFTER REDISTRIBUTION
Net FDN Area in Min. Adopted Adopted
Load Combination % Area in P1 % Area in
S.No. Area in Tension Allowed in Width Length Check
2 2 Comp. 2 Comp.
Units m m Comp. m m t/m
1 Work. Comb I a 272 0 100 80 16.5 16.50 44 100 OK
2 Work. Comb I b 272 0 100 80 16.5 16.50 47 100 OK
3 Work. Comb I c 272 0 100 80 16.5 16.50 44 100 OK
4 Work. Comb I d 272 0 100 80 16.5 16.50 47 100 OK
5 Work. Comb I e 272 0 100 80 16.5 16.50 44 100 OK
6 Work. Comb I f 272 0 100 80 16.5 16.50 44 100 OK
7 Work. Comb II i a 272 0 100 80 16.5 16.50 59 100 OK
8 Work. Comb II i b 272 0 100 80 16.5 16.50 62 100 OK
9 Work. Comb II i c 272 0 100 80 16.5 16.50 58 100 OK
10 Work. Comb II i d 272 0 100 80 16.5 16.50 46 100 OK
11 Work. Comb II i e 272 0 100 80 16.5 16.50 44 100 OK
12 Work. Comb II i f 272 0 100 80 16.5 16.50 44 100 OK
13 Work. Comb II i g 272 0 100 80 16.5 16.25 61 98 OK
14 Work. Comb II i h 272 0 100 80 16.5 16.25 61 98 OK
15 Work. Comb II i i 272 0 100 80 16.5 16.25 61 98 OK
16 Work. Comb II i j 272 0 100 80 16.5 16.25 61 98 OK
17 Work. Comb II i k 272 0 100 80 16.5 16.25 61 98 OK
18 Work. Comb II i l 272 0 100 80 16.5 16.25 61 98 OK
19 Work. Comb II ii a 253 20 93 67 16.5 14.75 66 89 OK
20 Work. Comb II ii b 251 22 92 67 16.5 14.75 66 89 OK
21 Work. Comb II ii c 251 21 92 67 16.5 14.75 66 89 OK
22 Work. Comb II ii d 253 20 93 67 16.5 14.75 66 89 OK
23 Work. Comb II ii e 252 20 93 67 16.5 14.75 65 89 OK
24 Work. Comb II ii f 253 20 93 67 16.5 14.75 66 89 OK
25 Work. Comb II ii g 272 0 100 67 16.5 15.00 58 91 OK
26 Work. Comb II ii h 272 0 100 67 16.5 15.50 60 94 OK
27 Work. Comb II ii i 272 0 100 67 16.5 15.50 59 94 OK
28 Work. Comb II ii j 272 0 100 67 16.5 15.50 60 94 OK
29 Work. Comb II ii k 272 0 100 67 16.5 15.50 57 94 OK
30 Work. Comb II ii l 272 0 100 67 16.5 15.50 59 94 OK
31 Work. Comb II ii m 272 0 100 67 16.5 16.50 45 100 OK
32 Work. Comb II ii n 272 0 100 67 16.5 16.50 45 100 OK
33 Work. Comb II ii o 272 0 100 67 16.5 16.50 45 100 OK
34 Work. Comb II ii p 272 0 100 67 16.5 16.50 45 100 OK
35 Work. Comb II ii q 272 0 100 67 16.5 16.50 43 100 OK
36 Work. Comb II ii r 272 0 100 67 16.5 16.50 44 100 OK
37 Work. Comb II iii a 272 0 100 67 16.5 16.50 44 100 OK
38 Work. Comb II iii b 272 0 100 67 16.5 16.50 47 100 OK
39 Work. Comb II iii c 272 0 100 67 16.5 16.50 44 100 OK
40 Work. Comb II iii d 272 0 100 67 16.5 16.50 47 100 OK
41 Work. Comb II iii e 272 0 100 67 16.5 16.50 42 100 OK
42 Work. Comb II iii f 272 0 100 67 16.5 16.50 44 100 OK

___________________________________________________________________________________________________________________
140
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

MAXIMUM WORKING STRESS BELOW OPEN FOUNDATION


IRC 78 COMBINATION I 47 t/m2
IRC 78 COMBINATION II WIND CASES 62 t/m2
IRC 78 COMBINATION II Long. : 100 Trans.: 30Vertical: 30 66 t/m2
IRC 78 COMBINATION II Long. : 30 Trans.: 100Vertical: 30 60 t/m2
IRC 78 COMBINATION II Long. : 130Trans.: 30Vertical: 100 45 t/m2
IRC 78 COMBINATION III 47 t/m2

Permissible Increase in Allowable Base Pressure as per cl. 706.1.2 of IRC 78


Combination I 0%
Combination II 25 %
Combination III 25 %

SBC REQUIREMENT
IRC 78 COMBINATION I 47 t/m2
IRC 78 COMBINATION II WIND CASES 49 t/m2
IRC 78 COMBINATION II Long. : 100 Trans.: 30Vertical: 30 53 t/m2
IRC 78 COMBINATION II Long. : 30 Trans.: 100Vertical: 30 48 t/m2
IRC 78 COMBINATION II Long. : 130Trans.: 30Vertical: 100 36 t/m2
IRC 78 COMBINATION III 38 t/m2
MAXIMUM SBC REQUIREMENT 53 t/m2

OK

___________________________________________________________________________________________________________________
141
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.8 OPEN FOUNDATION SLIDING CHECK
The foundation sliding check is done using the following two approaches:

1. Sliding check as per cl. 706.3.4 of IRC 78 2014


In the sliding check as per cl. 706.3.4 of IRC 78 2014, no factors are applied to the sliding/restoring forces and the factor of safety
shall be as per the recommendations of this clause.
The Factor of Safety Against Sliding without seismic case shall be 2
The Factor of Safety Against Sliding with Seismic case shall be 1.25

2. Sliding check as per combinations in Table B.1 of IRC 6


In the Sliding check as per combinations in Table B.1 of IRC 6, the sliding and restoring forces are provided with different factors
and the factor of safety shall be greater than 1.

Sliding check as per cl. 706.3.4 of IRC 78 2014


Friction Coefficient 0.7
The restoring force against sliding is taken as Friction Coefficient x Factored Axial Load
SLIDING CHECK
Load Combination
Load Combination P HL HT
S.No. FOS Long. FOS Trans. Description
Units t t t
1 Work. Comb I a 8644 371 71 16.3 84.9

COMBINATION
2 Work. Comb I b 8637 306 71 19.7 84.8

IRC 78
3 Work. Comb I c 8241 402 73 14.4 79.2

I
4 Work. Comb I d 9005 343 65 18.4 97.4
5 Work. Comb I e 8697 278 66 21.9 91.9
6 Work. Comb I f 8644 371 71 16.3 84.9
7 Work. Comb II i a 8857 496 251 12.5 24.7
8 Work. Comb II i b 8849 432 251 14.3 24.6 IRC 78 COMBINATION II
9 Work. Comb II i c 8454 527 253 11.2 23.4
10 Work. Comb II i d 9058 293 65 21.7 98.0 WIND CASES
11 Work. Comb II i e 8697 278 66 21.9 91.9
12 Work. Comb II i f 8644 371 71 16.3 84.9
13 Work. Comb II i g 8441 496 276 11.9 21.4
14 Work. Comb II i h 8441 496 276 11.9 21.4
15 Work. Comb II i i 8441 496 276 11.9 21.4
16 Work. Comb II i j 8441 496 276 11.9 21.4
17 Work. Comb II i k 8441 496 276 11.9 21.4
18 Work. Comb II i l 8441 496 276 11.9 21.4
19 Work. Comb II ii a 8257 881 66 6.6 87.6
COMBINATION COMBINATION COMBINATION

20 Work. Comb II ii b 8255 868 66 6.7 87.5


Vertical: 30
Long. : 100
Trans.: 30
IRC 78

21 Work. Comb II ii c 8176 887 66 6.4 86.3


II

22 Work. Comb II ii d 8329 876 65 6.7 90.1


23 Work. Comb II ii e 8179 865 65 6.6 88.5
24 Work. Comb II ii f 8257 881 66 6.6 87.6
25 Work. Comb II ii g 8332 307 406 19.0 14.4
Vertical: 30

26 Work. Comb II ii h 8331 294 406 19.8 14.4


Trans.: 100
Long. : 30
IRC 78

27 Work. Comb II ii i 8251 313 406 18.4 14.2


II

28 Work. Comb II ii j 8404 301 404 19.5 14.6


29 Work. Comb II ii k 8306 240 404 24.2 14.4
30 Work. Comb II ii l 8332 307 406 19.0 14.4
31 Work. Comb II ii m 7527 538 66 9.8 79.8
Vertical: 100

32 Work. Comb II ii n 7525 525 66 10.0 79.8


Long. : 130
Trans.: 30
IRC 78

33 Work. Comb II ii o 7446 544 66 9.6 78.6


II

34 Work. Comb II ii p 7599 532 65 10.0 82.2


35 Work. Comb II ii q 7579 478 65 11.1 81.6
36 Work. Comb II ii r 7449 522 65 10.0 80.6
37 Work. Comb II iii a 8644 371 71 16.3 84.9
COMBINATION

38 Work. Comb II iii b 8637 306 71 19.7 84.8


IRC 78

39 Work. Comb II iii c 8241 402 73 14.4 79.2


III

40 Work. Comb II iii d 9005 343 65 18.4 97.4


41 Work. Comb II iii e 8763 194 66 31.6 92.6
42 Work. Comb II iii f 8644 371 71 16.3 84.9

___________________________________________________________________________________________________________________
142
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Sliding check as per combinations in Table B.1 of IRC 6
The factors for foundation sliding check are taken from the Table B.1 of IRC 6 2017.
The factor for all sliding forces is taken as 1.5 and the factor for all restoring forces is taken as .9.
The Factor of Safety shall be greater than 1.
Friction Coefficient 0.7
The restoring force against sliding is taken as Friction Coefficient x Factored Axial Load SLIDING CHECK
Load Combination P HL HT .9 x P 1.5 x HL 1.5 x HT
S.No. FOS Long. FOS Trans.
Units t t t t t t
1 Work. Comb I a 8644 371 71 7780 556 107 9.8 50.9
2 Work. Comb I b 8637 306 71 7773 460 107 11.8 50.9
3 Work. Comb I c 8241 402 73 7417 603 109 8.6 47.5
4 Work. Comb I d 9005 343 65 8105 515 97 11.0 58.5
5 Work. Comb I e 8697 278 66 7827 416 99 13.2 55.2
6 Work. Comb I f 8644 371 71 7780 556 107 9.8 50.9
7 Work. Comb II i a 8857 496 251 7971 744 377 7.5 14.8
8 Work. Comb II i b 8849 432 251 7964 648 377 8.6 14.8
9 Work. Comb II i c 8454 527 253 7608 791 379 6.7 14.0
10 Work. Comb II i d 9058 293 65 8152 439 97 13.0 58.8
11 Work. Comb II i e 8697 278 66 7827 416 99 13.2 55.2
12 Work. Comb II i f 8644 371 71 7780 556 107 9.8 50.9
13 Work. Comb II i g 8441 496 276 7597 744 413 7.1 12.9
14 Work. Comb II i h 8441 496 276 7597 744 413 7.1 12.9
15 Work. Comb II i i 8441 496 276 7597 744 413 7.1 12.9
16 Work. Comb II i j 8441 496 276 7597 744 413 7.1 12.9
17 Work. Comb II i k 8441 496 276 7597 744 413 7.1 12.9
18 Work. Comb II i l 8441 496 276 7597 744 413 7.1 12.9
19 Work. Comb II ii a 8257 881 66 7431 1322 99 3.9 52.5
20 Work. Comb II ii b 8255 868 66 7430 1303 99 4.0 52.5
21 Work. Comb II ii c 8176 887 66 7359 1331 99 3.9 51.8
22 Work. Comb II ii d 8329 876 65 7496 1314 97 4.0 54.1
23 Work. Comb II ii e 8179 865 65 7361 1298 97 4.0 53.1
24 Work. Comb II ii f 8257 881 66 7431 1322 99 3.9 52.5
25 Work. Comb II ii g 8332 307 406 7499 460 608 11.4 8.6
26 Work. Comb II ii h 8331 294 406 7497 441 608 11.9 8.6
27 Work. Comb II ii i 8251 313 406 7426 470 609 11.1 8.5
28 Work. Comb II ii j 8404 301 404 7564 452 606 11.7 8.7
29 Work. Comb II ii k 8306 240 404 7476 361 606 14.5 8.6
30 Work. Comb II ii l 8332 307 406 7499 460 608 11.4 8.6
31 Work. Comb II ii m 7527 538 66 6774 806 99 5.9 47.9
32 Work. Comb II ii n 7525 525 66 6773 787 99 6.0 47.9
33 Work. Comb II ii o 7446 544 66 6702 816 99 5.8 47.2
34 Work. Comb II ii p 7599 532 65 6839 798 97 6.0 49.3
35 Work. Comb II ii q 7579 478 65 6821 718 97 6.7 49.0
36 Work. Comb II ii r 7449 522 65 6704 782 97 6.0 48.4
37 Work. Comb II iii a 8644 371 71 7780 556 107 9.8 50.9
38 Work. Comb II iii b 8637 306 71 7773 460 107 11.8 50.9
39 Work. Comb II iii c 8241 402 73 7417 603 109 8.6 47.5
40 Work. Comb II iii d 9005 343 65 8105 515 97 11.0 58.5
41 Work. Comb II iii e 8763 194 66 7887 291 99 19.0 55.6
42 Work. Comb II iii f 8644 371 71 7780 556 107 9.8 50.9

___________________________________________________________________________________________________________________
143
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.9 OPEN FOUNDATION OVERTURNING CHECK
The foundation overturning check is done using the following two approaches:
1. Overturning Check as per cl. 706.3.4 of IRC 78 2014
In the Oveturning check as per cl. 706.3.4 of IRC 78 2014, no factors are applied to the Oveturning/restoring forces and the factor of safety
shall be as per the recommendations of this clause.
The Factor of Safety Against Oveturning without seismic case shall be 2
The Factor of Safety Against Oveturning with Seismic case shall be 1.5

2. Overturning Check as per combinations in Table B.1 of IRC 6


In the Oveturning check as per combinations in Table B.1 of IRC 6, the Oveturning and restoring forces are provided with different factors
and the factor of safety shall be greater than 1.

Overturning check as per cl. 706.3.4 of IRC 78 2014


The restoring moment is taken as Factored Load x Distance between CG of
OVERTURNING CHECK
Foundation and Point of overturning.
Overturn. Overturn. Restoring Restoring Load Combination
Load Combination P
S.No. ML MT ML MT FOS Long. FOS Trans. Description
Units t tm tm t tm
1 Work. Comb I a 8644 7946 1244 71317 71317 9.0 57.3

COMBINATION
2 Work. Comb I b 8637 10113 1316 71255 71255 7.0 54.1

IRC 78
3 Work. Comb I c 8241 8529 1413 67992 67992 8.0 48.1

I
4 Work. Comb I d 9005 9361 1176 74293 74293 7.9 63.2
5 Work. Comb I e 8697 7897 1190 71749 71749 9.1 60.3
6 Work. Comb I f 8644 8018 1316 71317 71317 8.9 54.2
7 Work. Comb II i a 8857 11201 8502 73066 73066 6.5 8.6
8 Work. Comb II i b 8849 13296 8502 73005 73005 5.5 8.6

IRC 78 COMBINATION II
9 Work. Comb II i c 8454 11712 8600 69742 69742 6.0 8.1
10 Work. Comb II i d 9058 8017 1180 74726 74726 9.3 63.3

WIND CASES
11 Work. Comb II i e 8697 7897 1190 71749 71749 9.1 60.3
12 Work. Comb II i f 8644 8018 1316 71317 71317 8.9 54.2
13 Work. Comb II i g 8441 12812 9550 69639 69639 5.4 7.3
14 Work. Comb II i h 8441 12812 9550 69639 69639 5.4 7.3
15 Work. Comb II i i 8441 12812 9550 69639 69639 5.4 7.3
16 Work. Comb II i j 8441 12812 9550 69639 69639 5.4 7.3
17 Work. Comb II i k 8441 12812 9550 69639 69639 5.4 7.3
18 Work. Comb II i l 8441 12812 9550 69639 69639 5.4 7.3
19 Work. Comb II ii a 8257 25205 1139 68118 68118 2.7 59.8
COMBINATION

20 Work. Comb II ii b 8255 25624 1139 68106 68106 2.7 59.8

Vertical: 30
Long. : 100
Trans.: 30
IRC 78

21 Work. Comb II ii c 8176 25307 1158 67453 67453 2.7 58.2


II

22 Work. Comb II ii d 8329 25473 1111 68713 68713 2.7 61.9


23 Work. Comb II ii e 8179 25107 1100 67473 67473 2.7 61.3
24 Work. Comb II ii f 8257 25205 1139 68118 68118 2.7 59.8

___________________________________________________________________________________________________________________
144
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
25 Work. Comb II ii g 8332 7605 15210 68739 68739 9.0 4.5

COMBINATION COMBINATION
26 Work. Comb II ii h 8331 8024 15210 68727 68727 8.6 4.5

Vertical: 30
Trans.: 100
Long. : 30
IRC 78
27 Work. Comb II ii i 8251 7708 15230 68074 68074 8.8 4.5

II
28 Work. Comb II ii j 8404 7874 15182 69334 69334 8.8 4.6
29 Work. Comb II ii k 8306 6163 15176 68527 68527 11.1 4.5
30 Work. Comb II ii l 8332 7605 15210 68739 68739 9.0 4.5
31 Work. Comb II ii m 7527 11739 1091 62096 62096 5.3 56.9

Vertical: 100
32 Work. Comb II ii n 7525 12158 1091 62084 62084 5.1 56.9

Long. : 130
Trans.: 30
IRC 78
33 Work. Comb II ii o 7446 11841 1110 61431 61431 5.2 55.3

II
34 Work. Comb II ii p 7599 12008 1063 62691 62691 5.2 59.0
35 Work. Comb II ii q 7579 10639 1069 62529 62529 5.9 58.5
36 Work. Comb II ii r 7449 11642 1052 61452 61452 5.3 58.4
37 Work. Comb II iii a 8644 8018 1316 71317 71317 8.9 54.2

COMBINATION
38 Work. Comb II iii b 8637 10113 1316 71255 71255 7.0 54.1

IRC 78
39 Work. Comb II iii c 8241 8529 1413 67992 67992 8.0 48.1

III
40 Work. Comb II iii d 9005 9361 1176 74293 74293 7.9 63.2
41 Work. Comb II iii e 8763 5965 1194 72297 72297 12.1 60.5
42 Work. Comb II iii f 8644 8018 1316 71317 71317 8.9 54.2

Overturning check as per combinations in Table B.1 of IRC 6


The factors for foundation overturning check are taken from the Table B.1 of IRC 6 2017.
The factor for all sliding forces is taken as 1.5 and the factor for all restoring forces is taken as .9.
The Factor of Safety shall be greater than 1.
The restoring moment is taken as Factored Load x Distance between CG of Foundation and Point
OVERTURNING CHECK
of overturning.
Load Combination P Net ML Net MT .9 x P 1.5 x ML 1.5 x MT
S.No. FOS Long. FOS Trans.
Units t tm tm t tm tm
1 Work. Comb I a 8644 7946 1244 7780 11919 1865 5.4 34.4
2 Work. Comb I b 8637 10113 1316 7773 15170 1974 4.2 32.5
3 Work. Comb I c 8241 8529 1413 7417 12794 2120 4.8 28.9
4 Work. Comb I d 9005 9361 1176 8105 14042 1764 4.8 37.9
5 Work. Comb I e 8697 7897 1190 7827 11845 1785 5.5 36.2
6 Work. Comb I f 8644 8018 1316 7780 12027 1974 5.3 32.5
7 Work. Comb II i a 8857 11201 8502 7971 16801 12754 3.9 5.2
8 Work. Comb II i b 8849 13296 8502 7964 19944 12754 3.3 5.2
9 Work. Comb II i c 8454 11712 8600 7608 17568 12899 3.6 4.9
10 Work. Comb II i d 9058 8017 1180 8152 12025 1770 5.6 38.0
11 Work. Comb II i e 8697 7897 1190 7827 11845 1785 5.5 36.2
12 Work. Comb II i f 8644 8018 1316 7780 12027 1974 5.3 32.5
13 Work. Comb II i g 8441 12812 9550 7597 19218 14325 3.3 4.4
14 Work. Comb II i h 8441 12812 9550 7597 19218 14325 3.3 4.4
15 Work. Comb II i i 8441 12812 9550 7597 19218 14325 3.3 4.4
16 Work. Comb II i j 8441 12812 9550 7597 19218 14325 3.3 4.4
17 Work. Comb II i k 8441 12812 9550 7597 19218 14325 3.3 4.4
18 Work. Comb II i l 8441 12812 9550 7597 19218 14325 3.3 4.4
19 Work. Comb II ii a 8257 25205 1139 7431 37807 1708 1.6 35.9
20 Work. Comb II ii b 8255 25624 1139 7430 38435 1708 1.6 35.9
21 Work. Comb II ii c 8176 25307 1158 7359 37960 1737 1.6 34.9
22 Work. Comb II ii d 8329 25473 1111 7496 38210 1666 1.6 37.1
23 Work. Comb II ii e 8179 25107 1100 7361 37660 1650 1.6 36.8
24 Work. Comb II ii f 8257 25205 1139 7431 37807 1708 1.6 35.9
25 Work. Comb II ii g 8332 7605 15210 7499 11408 22815 5.4 2.7
26 Work. Comb II ii h 8331 8024 15210 7497 12037 22815 5.1 2.7
27 Work. Comb II ii i 8251 7708 15230 7426 11561 22844 5.3 2.7
28 Work. Comb II ii j 8404 7874 15182 7564 11811 22773 5.3 2.7
29 Work. Comb II ii k 8306 6163 15176 7476 9244 22764 6.7 2.7
30 Work. Comb II ii l 8332 7605 15210 7499 11408 22815 5.4 2.7
31 Work. Comb II ii m 7527 11739 1091 6774 17609 1636 3.2 34.2
32 Work. Comb II ii n 7525 12158 1091 6773 18237 1636 3.1 34.1
33 Work. Comb II ii o 7446 11841 1110 6702 17762 1665 3.1 33.2
34 Work. Comb II ii p 7599 12008 1063 6839 18012 1594 3.1 35.4
35 Work. Comb II ii q 7579 10639 1069 6821 15959 1603 3.5 35.1

___________________________________________________________________________________________________________________
145
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
36 Work. Comb II ii r 7449 11642 1052 6704 17462 1578 3.2 35.0
37 Work. Comb II iii a 8644 8018 1316 7780 12027 1974 5.3 32.5
38 Work. Comb II iii b 8637 10113 1316 7773 15170 1974 4.2 32.5
39 Work. Comb II iii c 8241 8529 1413 7417 12794 2120 4.8 28.9
40 Work. Comb II iii d 9005 9361 1176 8105 14042 1764 4.8 37.9
41 Work. Comb II iii e 8763 5965 1194 7887 8947 1791 7.3 36.3
42 Work. Comb II iii f 8644 8018 1316 7780 12027 1974 5.3 32.5

___________________________________________________________________________________________________________________
146
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.10 ULS LOAD COMBINATIONS FOR DESIGN OF OPEN FOUNDATIONS

The slenderness of the pier need to be checked as per the requirement of IRC 112. Additonal eccentricity can will
be introducted due to the slenderness effect. The same can be computed as per IRC 112.
Accidental Eccentricity = 71.19 mm
Additional Eccentricity due to Slenderness Long. eLong. = 71 mm
Additional Eccentricity due to Slenderness Trans eTrans. = 71 mm

Calculation of Additional Eccentricity due to Slenderness Effects


The additional eccentricity due to Slenderness Effects is computed as per cl. 11.2 of IRC 112 2020.
Determination of Slenderness Ratio
The slenderness ratio is defined as:
λ = Le/i
Where
λ is the slenderness ratio
Le is the effective length
i is the radius of gyration of the uncracked concrete section
The Effective Length is obtained from Table 11.1 of IRC 112 2020.
Direction Longitudinal Transverse
FRL - Open Foundation Top 51.20 51.20
Depth of Structure 6.25 6.25
Clear Height of Pier Column 44.95 51.20 m
Factor 1.50 2.30
Le 67.42 117.76 m
Width of Pier 5.25 4.50 m
Length of Pier 4.50 5.25 m
Clear Distance Between Piers NA NA m
Area 15.75 15.75 m2
Moment of Inertia 38.77 47.20 m4
i 1.57 1.73 m
λ 42.98 68.02
The limitation of λ is obtained from equation 11.1 of IRC 112 2011
λlim = 20 x A x B x C / sqrt(n)
Calculation of rm
rm = M1/M2
Condition Unbraced Unbraced
rm 1.00 1.00
C= 0.70 0.70
Reinf. Percentage 2.31 2.31
Cross Section Area 15750000 15750000
Area of Reinforcement 363825 363825
Fyd 435 435
Ac 15750000 15750000
Fcd 22 22
Mechanical reinforcement Ratio 0.45 0.45
B 1.38 1.38
M Quasi 5072 0 ton m
M ULS 21259 11516 ton m
φ 1.50 1.50
φeff 0.36 0.00
A 0.74 1.00
Ned 8297.55 8297.55 tons
n 0.23 0.23
λlim = 29.51 40.07
Slender Slender

___________________________________________________________________________________________________________________
147
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Calculation of Additional Eccentricity
The additional eccentricity is computed as per cl. 11.3.2.2 of IRC 112.
e = 1/r x Le2 / c
1/r = KrKΦ 1/r0
Kr = (nu -n)/(nu-nbal)
n= 0.232 0.232
nu = 1.452 1.452
nbal 0.40 0.40
Kr = 1.000 1.000
KΦ = 1 + βΦeff
β 0.313 0.147
KΦ = 1.112 1.000
1/r0 = εyd/.45d
d = h/2 + i
Width of Column 5250 4500 mm
Length of Column 4500 5250 mm
d= 3300 3863
1/r0 = 0.00000146 0.00000125
1/r = 0.00000163 0.00000125
e= 740 1735 mm

The additional eccentricity is required to be adopted only if the column is under the Slender category
Add. Eccentricity due to Slenderness Long. eLong. = 740 mm
Add. Eccentricity due to Slenderness Trans eTrans. = 1735 mm

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 11873 7932 858 431 75 15303 17263
2 ULS Comb 2 11862 11075 858 334 75 17978 16222
3 ULS Comb 3 11268 8739 1045 477 77 15641 16405
4 ULS Comb 4 12414 9909 609 389 65 17716 17984
5 ULS Comb 5 11736 9177 650 354 66 16446 16827
6 ULS Comb 6 11873 7932 858 431 75 15303 17263
7 ULS Comb 7 8845 7573 858 406 75 13074 13099
8 ULS Comb 8 8834 10716 858 309 75 15749 12059
9 ULS Comb 9 8241 8380 1045 452 77 13412 12242
10 ULS Comb 10 9123 8927 609 346 65 14654 13355
11 ULS Comb 11 8708 8818 650 329 66 14216 12664
12 ULS Comb 12 8845 7573 858 406 75 13074 13099
13 ULS Comb 13 11705 8580 800 433 72 15815 16902
14 ULS Comb 14 11696 10989 800 359 72 17866 16105
15 ULS Comb 15 11241 9199 943 469 74 16075 16245
16 ULS Comb 16 12120 10095 609 401 65 17665 17455
17 ULS Comb 17 11783 7963 650 308 66 15274 16921
18 ULS Comb 18 11783 6557 800 358 72 13863 17059
19 ULS Comb 19 8677 8221 800 408 72 13586 12739
20 ULS Comb 20 8668 10630 800 334 72 15636 11941
21 ULS Comb 21 8213 8840 943 444 74 13845 12081
22 ULS Comb 22 9092 9736 609 376 65 15435 13292
23 ULS Comb 23 8755 7604 650 283 66 13045 12758
24 ULS Comb 24 8755 6198 800 332 72 11633 12896
25 ULS Comb 25 12064 10784 7313 544 237 18305 24052
26 ULS Comb 26 12053 13926 7313 447 237 20980 23011
27 ULS Comb 27 11459 11591 7499 590 239 18643 23194
28 ULS Comb 28 12342 12137 7064 484 227 19885 24307
29 ULS Comb 29 11783 7963 650 308 66 15274 16921
30 ULS Comb 30 11927 10622 7255 516 234 18036 23754

___________________________________________________________________________________________________________________
148
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
31 ULS Comb 31 9036 10425 7313 519 237 16075 19888
32 ULS Comb 32 9025 13567 7313 422 237 18750 18848
33 ULS Comb 33 8431 11232 7499 565 239 16413 19031
34 ULS Comb 34 9314 11778 7064 459 227 17656 20144
35 ULS Comb 35 8755 7604 650 283 66 13045 12758
36 ULS Comb 36 8899 10263 7255 491 234 15806 19591
37 ULS Comb 37 12023 13332 11558 621 342 20818 28218
38 ULS Comb 38 12014 15741 11558 547 342 22869 27420
39 ULS Comb 39 11559 13951 11701 657 344 21077 27560
40 ULS Comb 40 12438 14847 11367 589 335 22668 28771
41 ULS Comb 41 11783 7963 650 308 66 15274 16921
42 ULS Comb 42 12023 13332 11558 621 342 20818 28218
43 ULS Comb 43 8995 12973 11558 596 342 18588 24054
44 ULS Comb 44 8986 15382 11558 522 342 20639 23257
45 ULS Comb 45 8532 13592 11701 632 344 18848 23397
46 ULS Comb 46 9410 14488 11367 564 335 20438 24607
47 ULS Comb 47 8755 7604 650 283 66 13045 12758
48 ULS Comb 48 8995 12973 11558 596 342 18588 24054
49 ULS Comb 49 11091 13136 13231 524 381 19883 28245
50 ULS Comb 50 11091 13136 13231 524 381 19883 28245
51 ULS Comb 51 11091 13136 13231 524 381 19883 28245
52 ULS Comb 52 11091 13136 13231 524 381 19883 28245
53 ULS Comb 53 11091 13136 13231 524 381 19883 28245
54 ULS Comb 54 11091 13136 13231 524 381 19883 28245
55 ULS Comb 55 8064 12777 13231 499 381 17653 24082
56 ULS Comb 56 8064 12777 13231 499 381 17653 24082
57 ULS Comb 57 8064 12777 13231 499 381 17653 24082
58 ULS Comb 58 8064 12777 13231 499 381 17653 24082
59 ULS Comb 59 8064 12777 13231 499 381 17653 24082
60 ULS Comb 60 8064 12777 13231 499 381 17653 24082
61 ULS Comb 61 11615 13932 13231 573 381 21095 29173
62 ULS Comb 62 11615 13932 13231 573 381 21095 29173
63 ULS Comb 63 11615 13932 13231 573 381 21095 29173
64 ULS Comb 64 11615 13932 13231 573 381 21095 29173
65 ULS Comb 65 11615 13932 13231 573 381 21095 29173
66 ULS Comb 66 8587 13573 13231 548 381 18865 25010
67 ULS Comb 67 8587 13573 13231 548 381 18865 25010
68 ULS Comb 68 8587 13573 13231 548 381 18865 25010
69 ULS Comb 69 8587 13573 13231 548 381 18865 25010
70 ULS Comb 70 8587 13573 13231 548 381 18865 25010
71 ULS Comb 71 8587 13573 13231 548 381 18865 25010
72 ULS Comb 72 8587 13573 13231 548 381 18865 25010
73 ULS Comb 73 11273 33193 642 1168 66 39783 15309
74 ULS Comb 74 11272 33612 642 1155 66 40140 15170
75 ULS Comb 75 11193 33301 667 1175 66 39828 15194
76 ULS Comb 76 11345 33457 609 1163 65 40105 15405
77 ULS Comb 77 11273 33193 642 1168 66 39783 15309
78 ULS Comb 78 8167 32742 609 1127 65 37400 10975
79 ULS Comb 79 8245 32834 642 1143 66 38271 12742
80 ULS Comb 80 8244 33253 642 1130 66 38628 12603
81 ULS Comb 81 8165 32942 667 1149 66 38316 12628
82 ULS Comb 82 8317 33098 609 1138 65 38593 12838
83 ULS Comb 83 8245 32834 642 1143 66 38271 12742
84 ULS Comb 84 8167 32742 609 1127 65 38117 12572
85 ULS Comb 85 11386 6792 21748 307 575 13412 36479
86 ULS Comb 86 11385 7211 21748 294 575 13768 36340
87 ULS Comb 87 11305 6900 21772 313 576 13457 36365
88 ULS Comb 88 11458 7056 21714 301 574 13733 36575
89 ULS Comb 89 11308 6700 21714 291 574 13258 36309
90 ULS Comb 90 11386 6792 21748 307 575 13412 36479
91 ULS Comb 91 8358 6433 21748 282 575 11899 33912
92 ULS Comb 92 8357 6852 21748 269 575 12256 33773

___________________________________________________________________________________________________________________
149
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
93 ULS Comb 93 8278 6541 21772 288 576 11944 33798
94 ULS Comb 94 8430 6697 21714 276 574 12221 34008
95 ULS Comb 95 8280 6341 21714 266 574 11746 33742
96 ULS Comb 96 8358 6433 21748 282 575 11899 33912
97 ULS Comb 97 10178 13067 642 653 66 18849 13511
98 ULS Comb 98 10177 13486 642 640 66 19206 13372
99 ULS Comb 99 10098 13175 667 659 66 18895 13397
100 ULS Comb 100 10100 12975 609 637 65 18696 13341
101 ULS Comb 101 10100 12975 609 637 65 18696 13341
102 ULS Comb 102 7072 12616 609 612 65 16466 9178
103 ULS Comb 103 9566 159 642 -64 66 6462 14670
104 ULS Comb 104 9565 578 642 -77 66 6818 14531
105 ULS Comb 105 9485 266 667 -58 66 6507 14555
106 ULS Comb 106 9488 66 609 -80 65 6308 14500
107 ULS Comb 107 9488 66 609 -80 65 6308 14500
108 ULS Comb 108 9488 66 609 -80 65 6308 14500
109 ULS Comb 109 8358 6433 642 282 66 11553 12037
110 ULS Comb 110 8357 6852 642 269 66 11910 11898
111 ULS Comb 111 8278 6541 667 288 66 11598 11922
112 ULS Comb 112 8430 6697 609 276 65 11875 12133
113 ULS Comb 113 8384 6003 616 248 65 11148 12065
114 ULS Comb 114 8358 6433 642 282 66 11553 12037

15.11 CRITICAL SECTIONS FOR DESIGN OF OPEN FOUNDATION TRANSVERSE SECTION


The design of open foundation is done at the following critical sections.

LONGITUDINAL SECTION

___________________________________________________________________________________________________________________
150
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
To determine the forces at these critical sections, the stresses at additional points as mentioned below are determined.

Design Forces at the Longitudinal Section are obtained by integrating the forces along P1, P3, P7 and P8.
Design Forces at the Transverse Section are obtained by integrating the forces along P1, P2, P5 an P6.

___________________________________________________________________________________________________________________
151
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.12 FOUNDATION PARAMETERS
Pier Size
Pier Length 4.5 m
Pier Width 5.25 m
Pier Center to Center NA m
Pier Equivalent Length 4.50 m
Pier Equivalent Width 5.25 m
Depth at Design Sections 4.00 m
Location of Section Check from Foundation Center, Long. Direction 2.25 m
Location of Section Check from Foundation Center, Trans. Direction 2.63 m
3
I/y Long. For P1 to P4 749 m
3
I/y Trans. For P1 to P4 749 m
3
I/y Long. For P5 - P6 2745.2 m
3
I/y Trans For P5 - P6 748.7 m
3
I/y Long. For P7 - P8 748.7 m
3
I/y Trans For P7 - P8 2353.0 m
Distance from Foundation Edge to Section Check Edge, Long. Direction 6.000 m
Distance from Foundation Edge to Section Check Edge, Trans Direction 5.625 m
Depth of Foundation At Edge 2.25 m
Depth of Foundation at Pier Face 4.00 m
Foundation Weight at Design Section Long Direction 773.44 t
Foundation Weight at Design Section Trans Direction 725.10 t
Moment due to Foundation Weight at Design Section Long Direction 2320.31 tm
Moment due to Foundation Weight at Design Section Trans Direction 2039.34 tm
Soil Fill over Open Foundation 1.50 m
Soil Weight at Design Section Long Direction 297.00 t
Soil Weight at Design Section Trans Direction 278.44 t
Moment due to Soil Weight at Design Section Long Direction 891.00 tm
Moment due to Soil Weight at Design Section Trans Direction 783.11 tm
Foundation + Soil Weight at Design Section Long Direction 1070 t
Foundation + Soil Weight at Design Section Trans Direction 1004 t
Moment due to Foundation + Soil Weight at Design Section Long Direction 3211 tm
Moment due to Foundation + Soil Weight at Design Section Trans Direction 2822 tm

15.13 STRESS AT POINTS P1 TO P8 FOR ULS FORCES


ULS PRESSURE AT BASE OF OPEN FOUNDATION WITHOUT REDISTRIBUTION
Load Combination P1 P2 P3 P4 P5 P6 P7 P8
S.No. 2 2 2 2 2 2
Units t/m t/m t/m t/m t/m t/m t/m2 t/m2
1 ULS Comb 1 87 41 46 0 72 26 31 71
2 ULS Comb 2 89 46 41 -2 72 28 26 74
3 ULS Comb 3 84 40 42 -1 69 25 27 69
4 ULS Comb 4 93 45 46 -2 76 28 30 77
5 ULS Comb 5 88 43 44 -1 72 27 28 72
6 ULS Comb 6 87 41 46 0 72 26 31 71
7 ULS Comb 7 67 32 33 -2 55 20 21 56
8 ULS Comb 8 70 37 28 -5 54 22 17 59
9 ULS Comb 9 65 32 29 -4 52 19 18 53
10 ULS Comb 10 71 35 32 -4 57 21 20 59
11 ULS Comb 11 68 34 30 -4 54 20 18 56
12 ULS Comb 12 67 32 33 -2 55 20 21 56
13 ULS Comb 13 87 42 44 -1 71 26 29 71
14 ULS Comb 14 88 45 41 -2 71 28 26 74
15 ULS Comb 15 84 41 42 -2 69 25 27 70
16 ULS Comb 16 91 45 44 -2 74 28 28 76
17 ULS Comb 17 86 41 45 0 71 26 30 71
18 ULS Comb 18 85 39 48 2 71 26 32 69
19 ULS Comb 19 67 33 31 -3 54 20 19 55
20 ULS Comb 20 69 37 27 -5 53 22 16 58
21 ULS Comb 21 65 33 28 -4 51 19 17 54
22 ULS Comb 22 72 36 31 -5 57 21 18 60
23 ULS Comb 23 67 33 32 -2 54 20 20 55

___________________________________________________________________________________________________________________
152
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
24 ULS Comb 24 65 30 34 -1 54 19 22 53
25 ULS Comb 25 101 37 52 -12 83 19 30 79
26 ULS Comb 26 103 42 47 -14 83 21 26 82
27 ULS Comb 27 98 36 48 -14 80 18 27 77
28 ULS Comb 28 104 39 51 -14 85 20 29 82
29 ULS Comb 29 86 41 45 0 71 26 30 71
30 ULS Comb 30 100 36 51 -12 82 19 30 78
31 ULS Comb 31 81 28 38 -15 66 12 20 63
32 ULS Comb 32 83 33 33 -17 65 15 16 66
33 ULS Comb 33 78 27 34 -16 62 12 17 61
34 ULS Comb 34 85 31 38 -16 68 14 19 66
35 ULS Comb 35 67 33 32 -2 54 20 20 55
36 ULS Comb 36 80 28 38 -15 65 12 20 62
37 ULS Comb 37 110 34 54 -21 89 14 28 84
38 ULS Comb 38 111 38 50 -23 89 16 25 86
39 ULS Comb 39 107 34 51 -23 87 13 26 82
40 ULS Comb 40 114 38 54 -23 92 16 28 88
41 ULS Comb 41 86 41 45 0 71 26 30 71
42 ULS Comb 42 110 34 54 -21 89 14 28 84
43 ULS Comb 43 90 26 40 -24 72 8 18 68
44 ULS Comb 44 92 30 37 -26 72 9 15 70
45 ULS Comb 45 88 25 37 -25 69 7 16 66
46 ULS Comb 46 95 29 40 -26 75 9 18 72
47 ULS Comb 47 67 33 32 -2 54 20 20 55
48 ULS Comb 48 90 26 40 -24 72 8 18 68
49 ULS Comb 49 105 30 52 -24 86 10 26 79
50 ULS Comb 50 105 30 52 -24 86 10 26 79
51 ULS Comb 51 105 30 52 -24 86 10 26 79
52 ULS Comb 52 105 30 52 -24 86 10 26 79
53 ULS Comb 53 105 30 52 -24 86 10 26 79
54 ULS Comb 54 105 30 52 -24 86 10 26 79
55 ULS Comb 55 85 21 38 -26 68 4 16 63
56 ULS Comb 56 85 21 38 -26 68 4 16 63
57 ULS Comb 57 85 21 38 -26 68 4 16 63
58 ULS Comb 58 85 21 38 -26 68 4 16 63
59 ULS Comb 59 85 21 38 -26 68 4 16 63
60 ULS Comb 60 85 21 38 -26 68 4 16 63
61 ULS Comb 61 110 32 53 -24 89 11 27 83
62 ULS Comb 62 110 32 53 -24 89 11 27 83
63 ULS Comb 63 110 32 53 -24 89 11 27 83
64 ULS Comb 64 110 32 53 -24 89 11 27 83
65 ULS Comb 65 110 32 53 -24 89 11 27 83
66 ULS Comb 66 90 23 40 -27 72 5 17 67
67 ULS Comb 67 90 23 40 -27 72 5 17 67
68 ULS Comb 68 90 23 40 -27 72 5 17 67
69 ULS Comb 69 90 23 40 -27 72 5 17 67
70 ULS Comb 70 90 23 40 -27 72 5 17 67
71 ULS Comb 71 90 23 40 -27 72 5 17 67
72 ULS Comb 72 90 23 40 -27 72 5 17 67
73 ULS Comb 73 115 74 9 -32 76 35 -5 101
74 ULS Comb 74 115 75 8 -32 76 36 -6 101
75 ULS Comb 75 115 74 8 -32 76 35 -6 101
76 ULS Comb 76 116 75 9 -32 77 36 -5 102
77 ULS Comb 77 115 74 9 -32 76 35 -5 101
78 ULS Comb 78 95 65 -5 -35 58 29 -15 85
79 ULS Comb 79 98 64 -4 -38 61 27 -15 87
80 ULS Comb 80 99 65 -4 -38 61 28 -16 87
81 ULS Comb 81 98 64 -4 -38 61 27 -16 87
82 ULS Comb 82 99 65 -4 -38 62 27 -16 88
83 ULS Comb 83 98 64 -4 -38 61 27 -15 87
84 ULS Comb 84 98 64 -4 -38 61 27 -16 86
85 ULS Comb 85 108 11 73 -25 95 -2 39 75

___________________________________________________________________________________________________________________
153
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
86 ULS Comb 86 109 12 72 -25 95 -2 39 76
87 ULS Comb 87 108 11 72 -25 95 -2 39 75
88 ULS Comb 88 109 12 73 -25 96 -2 39 76
89 ULS Comb 89 108 11 72 -25 95 -2 39 75
90 ULS Comb 90 108 11 73 -25 95 -2 39 75
91 ULS Comb 91 92 1 60 -30 80 -10 29 61
92 ULS Comb 92 92 2 59 -31 80 -10 29 61
93 ULS Comb 93 92 1 60 -31 80 -10 29 61
94 ULS Comb 94 93 2 60 -31 81 -10 29 62
95 ULS Comb 95 91 1 60 -30 80 -10 29 60
96 ULS Comb 96 92 1 60 -30 80 -10 29 61
97 ULS Comb 97 81 45 30 -6 62 26 18 68
98 ULS Comb 98 81 45 30 -6 62 27 17 69
99 ULS Comb 99 80 44 30 -6 62 26 18 68
100 ULS Comb 100 80 44 30 -6 62 26 18 68
101 ULS Comb 101 80 44 30 -6 62 26 18 68
102 ULS Comb 102 60 36 16 -8 44 20 8 52
103 ULS Comb 103 63 24 46 7 57 18 33 50
104 ULS Comb 104 64 25 45 7 57 18 32 50
105 ULS Comb 105 63 24 46 7 57 18 32 50
106 ULS Comb 106 63 24 46 7 57 18 33 49
107 ULS Comb 107 63 24 46 7 57 18 33 49
108 ULS Comb 108 63 24 46 7 57 18 33 49
109 ULS Comb 109 62 30 31 -1 51 19 20 51
110 ULS Comb 110 62 31 31 -1 51 19 20 52
111 ULS Comb 111 62 30 31 -1 51 19 20 51
112 ULS Comb 112 63 31 31 -1 51 19 20 52
113 ULS Comb 113 62 30 32 0 51 19 21 51
114 ULS Comb 114 62 30 31 -1 51 19 20 51

FOUNDATION PARAMTERS FOR REDISTRIBUTION OF STRESES IN COMPRESSION ONLY ZONE


I/y Long. I/y Trans. I/y Long. I/y Trans
Adopted Adopted I/y Long. I/y Trans Min. P After
Load Combination For P1 to For P1 to For P5 & For P5 &
S.No. Width Length For P7 & P8 For P7 & P8 Red.
P4 P4 P6 P6
Units m m m3 m3 m3 m3 m3 m3 t/m2
1 ULS Comb 1 16.5 16.50 749 749 2745 749 749 2353 0
2 ULS Comb 2 16.5 16.00 704 726 2503 726 704 2282 1
3 ULS Comb 3 16.5 16.25 726 737 2622 737 726 2317 0
4 ULS Comb 4 16.5 16.00 704 726 2503 726 704 2282 1
5 ULS Comb 5 16.5 16.25 726 737 2622 737 726 2317 0
6 ULS Comb 6 16.5 16.50 749 749 2745 749 749 2353 0
7 ULS Comb 7 16.5 16.00 704 726 2503 726 704 2282 0
8 ULS Comb 8 16.5 14.22 556 645 1756 645 556 2027 9
9 ULS Comb 9 16.5 15.50 661 703 2276 703 661 2210 1
10 ULS Comb 10 16.5 15.50 661 703 2276 703 661 2210 1
11 ULS Comb 11 16.3 15.50 651 682 2241 682 651 2111 2
12 ULS Comb 12 16.5 16.00 704 726 2503 726 704 2282 0
13 ULS Comb 13 16.5 16.25 726 737 2622 737 726 2317 1
14 ULS Comb 14 16.5 16.00 704 726 2503 726 704 2282 1
15 ULS Comb 15 16.5 16.00 704 726 2503 726 704 2282 1
16 ULS Comb 16 16.5 16.00 704 726 2503 726 704 2282 1
17 ULS Comb 17 16.5 16.50 749 749 2745 749 749 2353 0
18 ULS Comb 18 16.5 15.30 644 694 2189 694 644 2182 12
19 ULS Comb 19 16.3 15.75 672 693 2351 693 672 2146 2
20 ULS Comb 20 16.5 14.20 554 644 1748 644 554 2024 8
21 ULS Comb 21 16.3 14.81 594 652 1957 652 594 2018 6
22 ULS Comb 22 16.3 14.55 574 640 1855 640 574 1982 8
23 ULS Comb 23 16.5 15.75 682 715 2388 715 682 2246 2
24 ULS Comb 24 16.5 16.00 704 726 2503 726 704 2282 2
25 ULS Comb 25 14.1 16.00 602 531 2140 531 602 1426 10
26 ULS Comb 26 14.6 14.76 530 524 1737 524 530 1455 14

___________________________________________________________________________________________________________________
154
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
27 ULS Comb 27 14.1 16.50 638 544 2341 544 638 1459 3
28 ULS Comb 28 14.5 16.50 659 581 2418 581 659 1607 0
29 ULS Comb 29 16.5 16.50 749 749 2745 749 749 2353 0
30 ULS Comb 30 14.1 16.00 602 531 2141 531 602 1427 10
31 ULS Comb 31 14.3 14.47 499 493 1605 493 499 1343 10
32 ULS Comb 32 14.2 14.17 474 474 1493 474 474 1278 10
33 ULS Comb 33 14.0 14.30 477 467 1517 467 477 1244 9
34 ULS Comb 34 14.1 14.35 484 475 1543 475 484 1274 11
35 ULS Comb 35 16.5 16.00 704 726 2503 726 704 2282 0
36 ULS Comb 36 14.3 14.47 499 493 1606 493 499 1343 10
37 ULS Comb 37 14.2 14.52 497 485 1604 485 497 1307 11
38 ULS Comb 38 14.0 14.60 496 475 1609 475 496 1263 10
39 ULS Comb 39 14.1 14.43 490 479 1570 479 490 1288 9
40 ULS Comb 40 13.9 14.43 483 467 1550 467 483 1240 14
41 ULS Comb 41 16.5 16.50 749 749 2745 749 749 2353 0
42 ULS Comb 42 14.2 14.52 497 485 1604 485 497 1307 11
43 ULS Comb 43 13.4 13.77 424 414 1298 414 424 1058 9
44 ULS Comb 44 13.4 13.49 407 404 1220 404 407 1031 9
45 ULS Comb 45 13.2 13.60 408 397 1233 397 408 1000 8
46 ULS Comb 46 13.6 13.54 416 419 1254 419 416 1087 9
47 ULS Comb 47 16.5 16.00 704 726 2503 726 704 2282 0
48 ULS Comb 48 13.4 13.67 418 411 1270 411 418 1050 10
49 ULS Comb 49 13.7 14.36 471 449 1502 449 471 1173 11
50 ULS Comb 50 13.7 14.36 471 449 1502 449 471 1173 11
51 ULS Comb 51 13.7 14.36 471 449 1502 449 471 1173 11
52 ULS Comb 52 13.7 14.36 471 449 1502 449 471 1173 11
53 ULS Comb 53 13.7 14.36 471 449 1502 449 471 1173 11
54 ULS Comb 54 13.7 14.36 471 449 1502 449 471 1173 11
55 ULS Comb 55 13.0 13.11 373 370 1086 370 373 917 9
56 ULS Comb 56 13.0 13.11 373 370 1086 370 373 917 9
57 ULS Comb 57 13.0 13.11 373 370 1086 370 373 917 9
58 ULS Comb 58 13.0 13.11 373 370 1086 370 373 917 9
59 ULS Comb 59 13.0 13.11 373 370 1086 370 373 917 9
60 ULS Comb 60 13.0 13.11 373 370 1086 370 373 917 9
61 ULS Comb 61 13.7 14.33 470 451 1498 451 470 1180 12
62 ULS Comb 62 13.7 14.33 470 451 1498 451 470 1180 12
63 ULS Comb 63 13.7 14.33 470 451 1498 451 470 1180 12
64 ULS Comb 64 13.7 14.33 470 451 1498 451 470 1180 12
65 ULS Comb 65 13.7 14.33 470 451 1498 451 470 1180 12
66 ULS Comb 66 13.1 13.30 386 380 1141 380 386 947 9
67 ULS Comb 67 13.1 13.30 386 380 1141 380 386 947 9
68 ULS Comb 68 13.1 13.30 386 380 1141 380 386 947 9
69 ULS Comb 69 13.1 13.30 386 380 1141 380 386 947 9
70 ULS Comb 70 13.1 13.30 386 380 1141 380 386 947 9
71 ULS Comb 71 13.1 13.30 386 380 1141 380 386 947 9
72 ULS Comb 72 13.1 13.30 386 380 1141 380 386 947 9
73 ULS Comb 73 15.0 12.27 376 460 1025 460 376 1314 4
74 ULS Comb 74 15.5 11.23 326 450 812 450 326 1327 12
75 ULS Comb 75 15.0 12.23 374 459 1016 459 374 1310 4
76 ULS Comb 76 15.5 11.76 357 471 933 471 357 1390 5
77 ULS Comb 77 15.0 12.27 376 460 1025 460 376 1314 4
78 ULS Comb 78 15.0 8.86 196 332 386 332 196 949 15
79 ULS Comb 79 15.3 9.04 208 350 417 350 208 1018 2
80 ULS Comb 80 15.0 8.97 201 336 401 336 201 961 4
81 ULS Comb 81 15.0 8.96 201 336 400 336 201 960 4
82 ULS Comb 82 14.8 9.29 212 337 438 337 212 946 4
83 ULS Comb 83 14.8 9.29 212 337 438 337 212 946 4
84 ULS Comb 84 15.0 9.00 202 337 405 337 202 964 4
85 ULS Comb 85 11.4 16.50 515 355 1889 355 515 767 14
86 ULS Comb 86 11.4 16.50 516 356 1892 356 516 770 14
87 ULS Comb 87 11.3 16.50 514 353 1886 353 514 763 14
88 ULS Comb 88 11.4 16.50 516 356 1892 356 516 770 14

___________________________________________________________________________________________________________________
155
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
89 ULS Comb 89 11.3 16.40 509 352 1853 352 509 760 15
90 ULS Comb 90 11.9 16.00 506 375 1798 375 506 846 12
91 ULS Comb 91 11.4 14.50 399 313 1285 313 399 679 2
92 ULS Comb 92 11.4 14.50 399 314 1287 314 399 682 1
93 ULS Comb 93 11.4 14.50 398 311 1282 311 398 673 1
94 ULS Comb 94 11.4 14.00 373 304 1160 304 373 660 7
95 ULS Comb 95 11.4 14.00 371 301 1155 301 371 652 7
96 ULS Comb 96 11.4 14.50 399 313 1285 313 399 679 2
97 ULS Comb 97 16.5 12.81 452 581 1286 581 452 1827 25
98 ULS Comb 98 16.0 14.36 550 613 1756 613 550 1868 11
99 ULS Comb 99 16.5 13.88 530 630 1634 630 530 1979 12
100 ULS Comb 100 16.5 13.90 531 631 1641 631 531 1982 12
101 ULS Comb 101 16.0 14.40 553 614 1769 614 553 1872 12
102 ULS Comb 102 15.5 13.42 465 537 1388 537 465 1587 12
103 ULS Comb 103 16.5 16.25 726 737 2622 737 726 2317 9
104 ULS Comb 104 16.5 16.50 749 749 2745 749 749 2353 7
105 ULS Comb 105 16.5 16.50 749 749 2745 749 749 2353 7
106 ULS Comb 106 16.5 16.50 749 749 2745 749 749 2353 7
107 ULS Comb 107 16.5 16.50 749 749 2745 749 749 2353 7
108 ULS Comb 108 16.5 16.50 749 749 2745 749 749 2353 7
109 ULS Comb 109 16.5 16.25 726 737 2622 737 726 2317 0
110 ULS Comb 110 16.5 16.25 726 737 2622 737 726 2317 0
111 ULS Comb 111 16.5 16.25 726 737 2622 737 726 2317 0
112 ULS Comb 112 16.5 16.25 726 737 2622 737 726 2317 0
113 ULS Comb 113 16.5 16.25 726 737 2622 737 726 2317 1
114 ULS Comb 114 16.5 16.25 726 737 2622 737 726 2317 0

ULS PRESSURE AT BASE OF OPEN FOUNDATION WITH REDISTRIBUTION


Load Combination P1 P2 P3 P4 P5 P6 P7 P8
S.No. 2 2 2 2 2 2
Units t/m t/m t/m t/m t/m t/m t/m2 t/m2
1 ULS Comb 1 87 41 46 0 72 26 31 71
2 ULS Comb 2 89 44 46 1 73 29 31 73
3 ULS Comb 3 84 39 45 0 70 25 30 69
4 ULS Comb 4 93 43 51 1 78 28 34 76
5 ULS Comb 5 87 42 46 0 72 27 30 72
6 ULS Comb 6 87 41 46 0 72 26 31 71
7 ULS Comb 7 67 31 36 0 56 20 24 55
8 ULS Comb 8 67 29 46 9 60 22 33 54
9 ULS Comb 9 64 29 36 1 54 19 24 52
10 ULS Comb 10 70 32 39 1 59 21 26 57
11 ULS Comb 11 67 33 36 2 56 22 25 55
12 ULS Comb 12 67 31 36 0 56 20 24 55
13 ULS Comb 13 86 40 47 1 72 26 31 71
14 ULS Comb 14 88 43 45 1 72 28 30 73
15 ULS Comb 15 84 39 46 1 70 26 31 69
16 ULS Comb 16 91 43 49 1 76 28 33 74
17 ULS Comb 17 86 41 45 0 71 26 30 71
18 ULS Comb 18 82 33 61 12 74 25 44 65
19 ULS Comb 19 66 32 35 2 55 21 24 55
20 ULS Comb 20 66 29 45 8 59 22 33 53
21 ULS Comb 21 63 29 39 6 55 21 28 51
22 ULS Comb 22 69 31 46 8 61 23 33 56
23 ULS Comb 23 66 30 37 2 56 20 25 54
24 ULS Comb 24 64 29 38 2 55 19 25 52
25 ULS Comb 25 97 61 46 10 79 42 35 86
26 ULS Comb 26 98 54 58 14 84 40 44 84
27 ULS Comb 27 96 62 37 3 74 40 27 85
28 ULS Comb 28 103 61 42 0 81 39 29 89
29 ULS Comb 29 86 41 45 0 71 26 30 71
30 ULS Comb 30 96 60 46 10 78 42 34 84
31 ULS Comb 31 78 37 50 10 68 28 37 65

___________________________________________________________________________________________________________________
156
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
32 ULS Comb 32 80 45 45 10 68 33 34 69
33 ULS Comb 33 75 39 45 9 65 29 34 64
34 ULS Comb 34 81 43 49 11 70 32 37 69
35 ULS Comb 35 66 31 35 0 55 20 23 54
36 ULS Comb 36 76 37 49 10 67 27 37 64
37 ULS Comb 37 106 47 70 11 93 35 51 87
38 ULS Comb 38 108 56 62 10 92 40 46 92
39 ULS Comb 39 104 47 67 9 91 34 49 86
40 ULS Comb 40 110 55 69 14 96 41 52 92
41 ULS Comb 41 86 41 45 0 71 26 30 71
42 ULS Comb 42 106 47 70 11 93 35 51 87
43 ULS Comb 43 88 39 58 9 78 29 43 73
44 ULS Comb 44 90 44 55 9 79 32 41 76
45 ULS Comb 45 87 39 55 8 76 29 41 73
46 ULS Comb 46 93 40 62 9 83 30 46 77
47 ULS Comb 47 66 31 35 0 55 20 23 54
48 ULS Comb 48 88 38 60 10 79 29 45 73
49 ULS Comb 49 102 45 68 11 90 33 50 84
50 ULS Comb 50 102 45 68 11 90 33 50 84
51 ULS Comb 51 102 45 68 11 90 33 50 84
52 ULS Comb 52 102 45 68 11 90 33 50 84
53 ULS Comb 53 102 45 68 11 90 33 50 84
54 ULS Comb 54 102 45 68 11 90 33 50 84
55 ULS Comb 55 85 31 64 9 78 24 47 69
56 ULS Comb 56 85 31 64 9 78 24 47 69
57 ULS Comb 57 85 31 64 9 78 24 47 69
58 ULS Comb 58 85 31 64 9 78 24 47 69
59 ULS Comb 59 85 31 64 9 78 24 47 69
60 ULS Comb 60 85 31 64 9 78 24 47 69
61 ULS Comb 61 106 48 70 12 94 36 52 88
62 ULS Comb 62 106 48 70 12 94 36 52 88
63 ULS Comb 63 106 48 70 12 94 36 52 88
64 ULS Comb 64 106 48 70 12 94 36 52 88
65 ULS Comb 65 106 48 70 12 94 36 52 88
66 ULS Comb 66 90 35 63 9 81 27 47 74
67 ULS Comb 67 90 35 63 9 81 27 47 74
68 ULS Comb 68 90 35 63 9 81 27 47 74
69 ULS Comb 69 90 35 63 9 81 27 47 74
70 ULS Comb 70 90 35 63 9 81 27 47 74
71 ULS Comb 71 90 35 63 9 81 27 47 74
72 ULS Comb 72 90 35 63 9 81 27 47 74
73 ULS Comb 73 118 89 34 4 92 62 24 109
74 ULS Comb 74 118 76 54 12 99 56 40 104
75 ULS Comb 75 118 89 33 4 92 62 24 109
76 ULS Comb 76 120 79 46 5 97 56 32 106
77 ULS Comb 77 118 89 34 4 92 62 24 109
78 ULS Comb 78 108 78 44 15 92 63 35 98
79 ULS Comb 79 118 74 45 2 99 56 31 103
80 ULS Comb 80 118 80 43 4 99 61 30 106
81 ULS Comb 81 118 79 43 4 99 60 30 105
82 ULS Comb 82 118 85 37 4 97 64 26 107
83 ULS Comb 83 117 84 36 4 96 63 26 106
84 ULS Comb 84 117 78 43 4 98 60 30 104
85 ULS Comb 85 107 67 55 14 88 48 44 96
86 ULS Comb 86 107 67 54 14 88 48 43 97
87 ULS Comb 87 107 66 55 14 88 47 44 96
88 ULS Comb 88 108 67 55 14 89 48 44 97
89 ULS Comb 89 106 65 56 15 88 47 45 95
90 ULS Comb 90 108 54 66 12 93 39 51 93
91 ULS Comb 91 100 20 82 2 93 13 60 78
92 ULS Comb 92 100 21 80 1 93 14 59 79
93 ULS Comb 93 100 19 81 1 93 13 60 78

___________________________________________________________________________________________________________________
157
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
94 ULS Comb 94 99 16 90 7 96 13 67 76
95 ULS Comb 95 97 14 90 7 95 12 67 75
96 ULS Comb 96 100 20 82 2 93 13 60 78
97 ULS Comb 97 72 25 71 25 71 25 55 56
98 ULS Comb 98 77 42 47 11 67 31 35 65
99 ULS Comb 99 76 34 55 12 69 26 40 62
100 ULS Comb 100 76 33 55 12 69 26 40 61
101 ULS Comb 101 76 41 47 12 66 31 35 64
102 ULS Comb 102 56 35 33 12 49 28 26 50
103 ULS Comb 103 63 23 48 9 58 18 35 49
104 ULS Comb 104 64 25 45 7 57 18 32 50
105 ULS Comb 105 63 24 46 7 57 18 32 50
106 ULS Comb 106 63 24 46 7 57 18 33 49
107 ULS Comb 107 63 24 46 7 57 18 33 49
108 ULS Comb 108 63 24 46 7 57 18 33 49
109 ULS Comb 109 62 29 33 0 52 19 22 51
110 ULS Comb 110 62 30 32 0 51 19 21 51
111 ULS Comb 111 62 29 32 0 51 19 21 51
112 ULS Comb 112 63 30 33 0 52 19 22 52
113 ULS Comb 113 62 29 34 1 51 19 23 50
114 ULS Comb 114 62 29 33 0 52 19 22 51

15.14 ULS DESIGN FORCES FOR DESIGN OF OPEN FOUNDATION


ULS FORCES FOR DESIGN OF OPEN FOUNDATION
Shear Shear Long Lever Trans Long. Trans. Trans
Load Combination Long. Shear*
S.No. Long. Trans. Arm Lever Arm Moment Moment Shear*
Units tm tm m m tm tm tm tm
1 ULS Comb 1 5605 5458 3.13 2.94 14340 13212 4535 4454
2 ULS Comb 2 5801 5537 3.13 2.93 14949 13413 4730 4533
3 ULS Comb 3 5399 5262 3.13 2.94 13689 12636 4329 4258
4 ULS Comb 4 5972 5880 3.12 2.94 15442 14449 4901 4876
5 ULS Comb 5 5637 5458 3.13 2.94 14438 13206 4567 4455
6 ULS Comb 6 5605 5458 3.13 2.94 14340 13212 4535 4454
7 ULS Comb 7 4295 4213 3.13 2.94 10224 9563 3225 3210
8 ULS Comb 8 4392 4639 3.08 2.93 10311 10778 3322 3635
9 ULS Comb 9 4088 4055 3.12 2.94 9547 9099 3018 3052
10 ULS Comb 10 4507 4472 3.12 2.94 10847 10319 3437 3469
11 ULS Comb 11 4391 4251 3.12 2.93 10494 9632 3320 3247
12 ULS Comb 12 4295 4213 3.13 2.94 10224 9563 3225 3210
13 ULS Comb 13 5571 5454 3.13 2.94 14209 13197 4501 4450
14 ULS Comb 14 5732 5469 3.13 2.93 14740 13217 4662 4465
15 ULS Comb 15 5410 5321 3.12 2.94 13690 12806 4340 4317
16 ULS Comb 16 5863 5732 3.13 2.94 15118 14011 4793 4728
17 ULS Comb 17 5570 5400 3.13 2.94 14233 13034 4500 4396
18 ULS Comb 18 5297 5835 3.07 2.94 13048 14318 4226 4832
19 ULS Comb 19 4335 4179 3.13 2.93 10338 9426 3265 3175
20 ULS Comb 20 4328 4569 3.08 2.93 10119 10577 3258 3565
21 ULS Comb 21 4129 4208 3.10 2.93 9578 9511 3059 3204
22 ULS Comb 22 4550 4734 3.09 2.93 10831 11050 3479 3730
23 ULS Comb 23 4246 4219 3.12 2.94 10033 9573 3176 3215
24 ULS Comb 24 4134 4165 3.12 2.94 9668 9418 3064 3161
25 ULS Comb 25 6902 6115 3.13 2.89 18399 14870 5832 5111
26 ULS Comb 26 6820 6581 3.10 2.91 17930 16298 5749 5577
27 ULS Comb 27 6726 5667 3.16 2.89 18017 13580 5655 4663
28 ULS Comb 28 6996 6100 3.16 2.91 18864 14916 5926 5097
29 ULS Comb 29 5570 5400 3.13 2.94 14233 13034 4500 4396
30 ULS Comb 30 6816 6043 3.13 2.89 18127 14662 5746 5039
31 ULS Comb 31 5221 5332 3.09 2.92 12925 12730 4151 4329
32 ULS Comb 32 5586 5287 3.11 2.90 14135 12528 4516 4284
33 ULS Comb 33 5146 5067 3.10 2.91 12736 11921 4076 4063
34 ULS Comb 34 5590 5470 3.10 2.91 14097 13074 4519 4467
35 ULS Comb 35 4261 4153 3.13 2.94 10121 9379 3191 3149

___________________________________________________________________________________________________________________
158
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
36 ULS Comb 36 5140 5251 3.09 2.92 12672 12493 4069 4248
37 ULS Comb 37 6954 7282 3.09 2.92 18263 18456 5884 6279
38 ULS Comb 38 7327 7112 3.11 2.91 19559 17877 6256 6108
39 ULS Comb 39 6826 7100 3.09 2.92 17898 17931 5755 6096
40 ULS Comb 40 7437 7496 3.09 2.91 19789 19005 6367 6493
41 ULS Comb 41 5570 5400 3.13 2.94 14233 13034 4500 4396
42 ULS Comb 42 6954 7282 3.09 2.92 18263 18456 5884 6279
43 ULS Comb 43 5794 6112 3.09 2.92 14667 15021 4724 5108
44 ULS Comb 44 6076 6105 3.10 2.91 15596 14959 5006 5101
45 ULS Comb 45 5739 5945 3.09 2.92 14531 14524 4668 4942
46 ULS Comb 46 6083 6433 3.09 2.92 15555 15976 5012 5429
47 ULS Comb 47 4261 4153 3.13 2.94 10121 9379 3191 3149
48 ULS Comb 48 5775 6156 3.08 2.92 14578 15152 4704 5153
49 ULS Comb 49 6686 7052 3.09 2.92 17424 17771 5615 6048
50 ULS Comb 50 6686 7052 3.09 2.92 17424 17771 5615 6048
51 ULS Comb 51 6686 7052 3.09 2.92 17424 17771 5615 6048
52 ULS Comb 52 6686 7052 3.09 2.92 17424 17771 5615 6048
53 ULS Comb 53 6686 7052 3.09 2.92 17424 17771 5615 6048
54 ULS Comb 54 6686 7052 3.09 2.92 17424 17771 5615 6048
55 ULS Comb 55 5390 6151 3.06 2.93 13307 15180 4320 5147
56 ULS Comb 56 5390 6151 3.06 2.93 13307 15180 4320 5147
57 ULS Comb 57 5390 6151 3.06 2.93 13307 15180 4320 5147
58 ULS Comb 58 5390 6151 3.06 2.93 13307 15180 4320 5147
59 ULS Comb 59 5390 6151 3.06 2.93 13307 15180 4320 5147
60 ULS Comb 60 5390 6151 3.06 2.93 13307 15180 4320 5147
61 ULS Comb 61 7017 7343 3.09 2.92 18453 18612 5946 6339
62 ULS Comb 62 7017 7343 3.09 2.92 18453 18612 5946 6339
63 ULS Comb 63 7017 7343 3.09 2.92 18453 18612 5946 6339
64 ULS Comb 64 7017 7343 3.09 2.92 18453 18612 5946 6339
65 ULS Comb 65 7017 7343 3.09 2.92 18453 18612 5946 6339
66 ULS Comb 66 5765 6351 3.08 2.92 14519 15751 4694 5348
67 ULS Comb 67 5765 6351 3.08 2.92 14519 15751 4694 5348
68 ULS Comb 68 5765 6351 3.08 2.92 14519 15751 4694 5348
69 ULS Comb 69 5765 6351 3.08 2.92 14519 15751 4694 5348
70 ULS Comb 70 5765 6351 3.08 2.92 14519 15751 4694 5348
71 ULS Comb 71 5765 6351 3.08 2.92 14519 15751 4694 5348
72 ULS Comb 72 5765 6351 3.08 2.92 14519 15751 4694 5348
73 ULS Comb 73 8929 6621 3.15 2.88 24902 16219 7859 5617
74 ULS Comb 74 8632 7330 3.11 2.90 23633 18402 7561 6326
75 ULS Comb 75 8925 6592 3.15 2.88 24897 16136 7855 5588
76 ULS Comb 76 8694 7062 3.13 2.90 23999 17634 7623 6058
77 ULS Comb 77 8929 6621 3.15 2.88 24902 16219 7859 5617
78 ULS Comb 78 8442 6618 3.09 2.87 22886 16204 7372 5615
79 ULS Comb 79 8604 6904 3.10 2.90 23498 17213 7533 5900
80 ULS Comb 80 8871 6881 3.10 2.89 24332 17070 7800 5878
81 ULS Comb 81 8806 6850 3.11 2.89 24132 16992 7736 5847
82 ULS Comb 82 8990 6672 3.12 2.88 24796 16406 7920 5669
83 ULS Comb 83 8917 6619 3.12 2.88 24567 16253 7846 5615
84 ULS Comb 84 8736 6812 3.10 2.89 23911 16877 7665 5809
85 ULS Comb 85 7657 7016 3.12 2.88 20696 17384 6586 6012
86 ULS Comb 86 7688 6995 3.12 2.88 20813 17321 6618 5991
87 ULS Comb 87 7632 6988 3.12 2.88 20627 17306 6562 5985
88 ULS Comb 88 7723 7040 3.12 2.88 20914 17451 6652 6036
89 ULS Comb 89 7592 7023 3.12 2.88 20461 17404 6521 6019
90 ULS Comb 90 7268 7364 3.10 2.90 19335 18538 6197 6360
91 ULS Comb 91 5590 7413 3.05 2.94 13862 18964 4520 6409
92 ULS Comb 92 5638 7382 3.06 2.94 14036 18870 4568 6378
93 ULS Comb 93 5577 7390 3.06 2.94 13835 18898 4507 6386
94 ULS Comb 94 5521 7698 3.03 2.94 13502 19800 4450 6695
95 ULS Comb 95 5400 7640 3.02 2.94 13116 19634 4330 6637
96 ULS Comb 96 5590 7413 3.05 2.94 13862 18964 4520 6409
97 ULS Comb 97 4780 5889 3.00 2.93 11134 14430 3709 4886

___________________________________________________________________________________________________________________
159
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
98 ULS Comb 98 5369 5199 3.10 2.91 13410 12317 4298 4196
99 ULS Comb 99 5066 5394 3.07 2.93 12344 12979 3995 4390
100 ULS Comb 100 5046 5382 3.07 2.93 12277 12941 3975 4378
101 ULS Comb 101 5290 5154 3.09 2.91 13157 12188 4220 4151
102 ULS Comb 102 4158 3807 3.09 2.89 9658 8188 3088 2804
103 ULS Comb 103 3990 4528 3.07 2.94 9020 10504 2920 3525
104 ULS Comb 104 4052 4448 3.08 2.94 9272 10263 2981 3444
105 ULS Comb 105 3997 4423 3.08 2.94 9092 10194 2926 3419
106 ULS Comb 106 3981 4419 3.08 2.94 9035 10181 2911 3416
107 ULS Comb 107 3981 4419 3.08 2.94 9035 10181 2911 3416
108 ULS Comb 108 3981 4419 3.08 2.94 9035 10181 2911 3416
109 ULS Comb 109 4001 3892 3.13 2.94 9309 8608 2930 2888
110 ULS Comb 110 4031 3880 3.13 2.94 9418 8568 2961 2876
111 ULS Comb 111 3976 3854 3.13 2.94 9237 8498 2905 2851
112 ULS Comb 112 4055 3925 3.13 2.94 9486 8704 2984 2921
113 ULS Comb 113 3975 3903 3.13 2.94 9211 8641 2904 2900
114 ULS Comb 114 4001 3892 3.13 2.94 9309 8608 2930 2888
8990 7698 24902 19800
*Net Shear Forces are obtained after Reduction in Moment due to Weight of Foundation.
Moments are obtained after reduction of Bending Moment due to weight of Foundation.

15.15 ULS FLEXURE DESIGN OF OPEN FOUNDATION


SUMMARY OF FORCES
DESIGN FORCES
Moments
Long. Trans.
Combinations
Section Section
tm tm
ULS 24902 19800

The ULS check for flexure is done as per IRC 112.


The following formulations are used.

DEPTH OF NEUTRAL AXIS (ULTIMATE LIMIT STATE) AND STRAIN/STRESS DIAGRAM

Compression Force = .36 x Fck x Width x Depth of Neutral Axis


Tension Force = .87 x Fy x Ast
where
Fck = Characteristic Compressive Strength of Concrete
Fy = Yield Strength of Reinforcement
x (Depth of NA) = .87 x Fy x Ast / ( .36 x Fck x b )
where,
Fy = Yield Strength of Reinforcement
Ast = Area of Tension Steel
Fck = Compressive strength of Concrete
b = Width of Section

___________________________________________________________________________________________________________________
160
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Moment of Resistance is calculated as Tension Force x Level Arm.

ULS FLEXURE CHECK FOR MAXIMUM MOMENT CAUSING TENSION AT BOTTOM & SHEAR CHECKS
Trans.
DESIGN CHECK OF OPEN FOUNDATION Units
Long. Section Section
ULS Moment 24902 19800 tm
ULS Shear 7859 6493 t
SLS Moment (Stress Check) 9914 7332 tm
SLS Moment (Crack Width) 7736 5171 tm
Width 16500 16500 mm
Depth 4000 4000 mm
Concrete Grade 45 45 N/mm2
Reinforcement Grade 500 500 N/mm2
Clear Cover 75 75 mm
Bottomost Reinforcement Diameter (in other direction) 0 32
Stirrup Dia 16 16 mm
Provided Reinforcement Layer 1
Bar Dia 32 32 mm
Number of Bars 108 108
Spacing 152 152 mm
Provided Reinforcement Layer 2
Bar Dia 32 32 mm
Number of Bars 108 108
Spacing 152 152 mm
Provided Reinforcement Layer 3
Bar Dia 25 25 mm
Number of Bars 108 108
Spacing 152 152 mm
Provided Reinforcement Layer 4
Bar Dia mm
Number of Bars
Spacing 0 0 mm
Total Ast Provided 226617 226617 mm2
Total Ast Required For Flexure 151301 121345 mm2
Effective Cover 133 165 mm

ULS FLEXURE CHECK


Tension Force 9.86E+07 9.86E+07 N
Depth of Neutral Axis 369 369 mm
ULS Moment 24902 19800 tm
Moment of Resistance 37298 36976 tm
Check OK OK

___________________________________________________________________________________________________________________
161
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.16 ULS SHEAR DESIGN OF OPEN FOUNDATION
ULS SHEAR FORCES
Shear
Long. Trans.
Combinations
Section Section
t t
ULS 7859 6493
ULS SHEAR CHECK
The ULS Shear check is done as per Chapter 10 of IRC 112.
The Shear Check has two components:
1. Section Adequacy: In this check, the adequacy of section is checked for compression failure.
2. Shear Reinforcement: In this check, it is established whether the section needs design shear reinforcement
or the provided longitudinal reinforcement is enough to cater to the Design Shear Force.
If shear reinforcement is required, the same is calculated.

The ULS Shear check is done for the Maximum Shear Force obtained. The formulations of cl. 10.3.2 of
IRC 112 are used.
As per IRC 112 cl. 10.3.2, the shear capacity of shear not requiring design shear reinforcement is
VRd,c = (.12K(80ρlfck).33 + .15 σcp) bwd subject to min. of (vmin + .15 σcp)bwd
Fck = Concrete Compressive Strength
bw = Section Width for Design
D = Total Depth of Section
d = Effective Depth of Section
VEd = ULS Shear Force
Check for Section Adequacy
The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Trans.
DESIGN CHECK OF OPEN FOUNDATION Units
Long. Section Section
ULS Shear Force 7859 6493 t
Applied Shear Stress 1.21 1.01 N/mm2
%Ast 0.355 0.358 %
Fck 45 45 N/mm2
As 226617 226617 mm2
bw 16500 16500 mm
d 3867 3835 mm
z Lever Arm 3480 3451 mm
K 1.224 1.224
VRd,c (With Flexure Reinf. Only) 2291 2297 t
Applied Shear Force 7859 6493 t
Shear Reinforcement Required Yes Yes
Vrd,max 30058 29810 t
Section Revision Required No No
Calclation of Minimum Shear Angle
αcw 1 1
v1 0.51 0.51
θcomputed 7.58 6.29 Deg
θmin 21.80 21.80 Deg
θadopted 45 45 Deg
Spacing 250 250 mm
Ast Required 12722 10598 mm2

___________________________________________________________________________________________________________________
162
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.17 SLS RARE FORCES AT BOTTOM OF OPEN FOUNDATION

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS Rare Comb 1 8722 7024 775 356 71 7024 775
2 SLS Rare Comb 2 8715 9119 775 292 71 9119 775
3 SLS Rare Comb 3 8319 7562 899 387 73 7562 899
4 SLS Rare Comb 4 9083 8341 609 328 65 8341 609
5 SLS Rare Comb 5 8753 7437 645 283 66 7437 645
6 SLS Rare Comb 6 8754 6214 775 326 71 6214 775
7 SLS Rare Comb 7 8665 6938 775 351 71 6938 775
8 SLS Rare Comb 8 8658 9033 775 286 71 9033 775
9 SLS Rare Comb 9 8262 7476 899 382 73 7476 899
10 SLS Rare Comb 10 9026 8255 609 323 65 8255 609
11 SLS Rare Comb 11 8697 7351 645 278 66 7351 645
12 SLS Rare Comb 12 8665 6938 775 351 71 6938 775
13 SLS Rare Comb 13 8603 7186 124 329 5 7186 124
14 SLS Rare Comb 14 8598 8757 124 280 5 8757 124
15 SLS Rare Comb 15 8301 7589 218 352 6 7589 218
16 SLS Rare Comb 16 8874 8174 0 308 0 8174 0
17 SLS Rare Comb 17 8656 6754 27 246 1 6754 27
18 SLS Rare Comb 18 8310 6839 0 269 0 6839 0
19 SLS Rare Comb 19 8547 7099 124 323 5 7099 124
20 SLS Rare Comb 20 8541 8671 124 275 5 8671 124
21 SLS Rare Comb 21 8244 7503 218 347 6 7503 218
22 SLS Rare Comb 22 8817 8088 0 303 0 8088 0
23 SLS Rare Comb 23 8599 6668 27 241 1 6668 27
24 SLS Rare Comb 24 8254 6753 0 263 0 6753 0
25 SLS Rare Comb 25 8849 8925 5078 431 179 8925 5078
26 SLS Rare Comb 26 8842 11020 5078 367 179 11020 5078
27 SLS Rare Comb 27 8446 9463 5203 462 181 9463 5203
28 SLS Rare Comb 28 9210 10242 4912 403 173 10242 4912
29 SLS Rare Comb 29 8753 7437 645 283 66 7437 645
30 SLS Rare Comb 30 8849 8925 5078 431 179 8925 5078
31 SLS Rare Comb 31 8793 8839 5078 426 179 8839 5078
32 SLS Rare Comb 32 8785 10934 5078 361 179 10934 5078
33 SLS Rare Comb 33 8390 9377 5203 457 181 9377 5203
34 SLS Rare Comb 34 9153 10156 4912 398 173 10156 4912
35 SLS Rare Comb 35 8697 7351 645 278 66 7351 645
36 SLS Rare Comb 36 8793 8839 5078 426 179 8839 5078
37 SLS Rare Comb 37 8816 10616 7906 482 250 10616 7906
38 SLS Rare Comb 38 8810 12187 7906 433 250 12187 7906
39 SLS Rare Comb 39 8513 11020 7999 505 251 11020 7999
40 SLS Rare Comb 40 9086 11604 7781 461 245 11604 7781
41 SLS Rare Comb 41 8815 11533 7808 449 246 11533 7808
42 SLS Rare Comb 42 8816 10616 7906 482 250 10616 7906
43 SLS Rare Comb 43 8759 10530 7906 476 250 10530 7906
44 SLS Rare Comb 44 8753 12101 7906 428 250 12101 7906
45 SLS Rare Comb 45 8457 10934 7999 499 251 10934 7999
46 SLS Rare Comb 46 9029 11518 7781 455 245 11518 7781
47 SLS Rare Comb 47 8759 11447 7808 444 246 11447 7808
48 SLS Rare Comb 48 8759 10530 7906 476 250 10530 7906
49 SLS Rare Comb 49 8550 11023 9024 451 276 11023 9024
50 SLS Rare Comb 50 8550 11023 9024 451 276 11023 9024
51 SLS Rare Comb 51 8550 11023 9024 451 276 11023 9024
52 SLS Rare Comb 52 8550 11023 9024 451 276 11023 9024
53 SLS Rare Comb 53 8550 11023 9024 451 276 11023 9024
54 SLS Rare Comb 54 8550 11023 9024 451 276 11023 9024
55 SLS Rare Comb 55 8494 10937 9024 445 276 10937 9024
56 SLS Rare Comb 56 8494 10937 9024 445 276 10937 9024
57 SLS Rare Comb 57 8494 10937 9024 445 276 10937 9024

___________________________________________________________________________________________________________________
163
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
58 SLS Rare Comb 58 8494 10937 9024 445 276 10937 9024
59 SLS Rare Comb 59 8494 10937 9024 445 276 10937 9024
60 SLS Rare Comb 60 8494 10937 9024 445 276 10937 9024
Max Values 9210 12187 9024 505 276 12187 9024

___________________________________________________________________________________________________________________
164
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.18 CALCULATION OF PRESSURE AT KEY POINTS FOR SLS RARE COMBINATION
The pressure at key points P1 to P8 is obtained for the calculation of design forces.

Abutment Shaft Size


Pier EQ Length 4.50 m
Pier EQ Width 4.50 m
Depth at Design Sections 5.25 m
Location of Section Check from Foundation Center, Long. Direction 4.00 m
Location of Section Check from Foundation Center, Trans. Direction 2.25 m
I/y Long. For P1 to P4 2.63 m3
I/y Trans. For P1 to P4 748.69 m3
I/y Long. For P5 - P6 748.69 m3
I/y Trans For P5 - P6 2745.19 m3
I/y Long. For P7 - P8 748.69 m3
I/y Trans For P7 - P8 748.69 m3
Distance from Foundation Edge to Pier Face Long. Direction 2353.02 m
Distance from Foundation Edge to Pier Face Trans. Direction 6.00 m
Depth of Foundation At Edge 5.63 m
Depth of Foundation at Pier Face 2.25 m
Foundation Weight at Design Section Long Direction 4.00 t
Foundation Weight at Design Section Trans Direction 1070.44 t
Moment due to Foundation Weight at Design Section Long Direction 1003.54 tm
Moment due to Foundation Weight at Design Section Trans Direction 3211.31 tm

PRESSURE AT KEY POINTS FOR SLS RARE CASE


Load Combination P1 P2 P3 P4 P5 P6 P7 P8
S.No.
Units t/m2 t/m 2
t/m 2
t/m 2
t/m 2
t/m2 t/m2 t/m2
1 SLS Rare Comb 1 42 40 24 22 36 34 23 42
2 SLS Rare Comb 2 45 43 21 19 36 34 20 45
3 SLS Rare Comb 3 42 39 22 19 35 32 21 41
4 SLS Rare Comb 4 45 44 23 21 37 36 22 45
5 SLS Rare Comb 5 43 41 23 21 36 34 22 42
6 SLS Rare Comb 6 41 39 25 23 35 33 24 41
7 SLS Rare Comb 7 42 40 24 22 35 33 23 41
8 SLS Rare Comb 8 45 43 21 19 36 34 20 44
9 SLS Rare Comb 9 42 39 22 19 34 32 21 41
10 SLS Rare Comb 10 45 43 23 21 37 35 22 44
11 SLS Rare Comb 11 43 41 23 21 35 34 22 42
12 SLS Rare Comb 12 42 40 24 22 35 33 23 41

___________________________________________________________________________________________________________________
165
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
13 SLS Rare Comb 13 41 41 22 22 34 34 22 41
14 SLS Rare Comb 14 43 43 20 20 35 35 20 43
15 SLS Rare Comb 15 41 40 21 20 34 33 20 41
16 SLS Rare Comb 16 44 44 22 22 36 36 22 44
17 SLS Rare Comb 17 41 41 23 23 34 34 23 41
18 SLS Rare Comb 18 40 40 21 21 33 33 21 40
19 SLS Rare Comb 19 41 41 22 22 34 34 22 41
20 SLS Rare Comb 20 43 43 20 20 35 34 20 43
21 SLS Rare Comb 21 41 40 21 20 33 33 20 40
22 SLS Rare Comb 22 43 43 22 22 35 35 22 43
23 SLS Rare Comb 23 41 40 23 23 34 34 23 41
24 SLS Rare Comb 24 39 39 21 21 33 33 21 39
25 SLS Rare Comb 25 51 38 27 14 43 29 23 47
26 SLS Rare Comb 26 54 40 25 11 43 30 20 49
27 SLS Rare Comb 27 51 37 25 11 41 28 21 46
28 SLS Rare Comb 28 54 41 27 14 44 31 22 50
29 SLS Rare Comb 29 43 41 23 21 36 34 22 42
30 SLS Rare Comb 30 51 38 27 14 43 29 23 47
31 SLS Rare Comb 31 51 37 27 14 42 29 23 46
32 SLS Rare Comb 32 54 40 24 11 43 29 20 49
33 SLS Rare Comb 33 50 36 25 11 41 27 21 46
34 SLS Rare Comb 34 54 41 27 13 44 31 22 49
35 SLS Rare Comb 35 43 41 23 21 35 34 22 42
36 SLS Rare Comb 36 51 37 27 14 42 29 23 46
37 SLS Rare Comb 37 57 36 29 8 47 26 22 50
38 SLS Rare Comb 38 59 38 27 6 47 26 19 52
39 SLS Rare Comb 39 57 35 27 6 46 25 20 49
40 SLS Rare Comb 40 59 38 28 7 48 27 21 52
41 SLS Rare Comb 41 58 37 27 7 47 26 20 51
42 SLS Rare Comb 42 57 36 29 8 47 26 22 50
43 SLS Rare Comb 43 57 36 29 8 47 25 21 50
44 SLS Rare Comb 44 59 38 27 5 47 26 19 52
45 SLS Rare Comb 45 56 35 27 6 46 24 20 49
46 SLS Rare Comb 46 59 38 28 7 48 27 21 52
47 SLS Rare Comb 47 58 37 27 6 47 26 20 51
48 SLS Rare Comb 48 57 36 29 8 47 25 21 50
49 SLS Rare Comb 49 58 34 29 5 47 23 21 50
50 SLS Rare Comb 50 58 34 29 5 47 23 21 50
51 SLS Rare Comb 51 58 34 29 5 47 23 21 50
52 SLS Rare Comb 52 58 34 29 5 47 23 21 50
53 SLS Rare Comb 53 58 34 29 5 47 23 21 50
54 SLS Rare Comb 54 58 34 29 5 47 23 21 50
55 SLS Rare Comb 55 58 34 29 5 47 23 20 50
56 SLS Rare Comb 56 58 34 29 5 47 23 20 50
57 SLS Rare Comb 57 58 34 29 5 47 23 20 50
58 SLS Rare Comb 58 58 34 29 5 47 23 20 50
59 SLS Rare Comb 59 58 34 29 5 47 23 20 50
60 SLS Rare Comb 60 58 34 29 5 47 23 20 50

15.19 SLS RARE DESIGN FORCES FOR OPEN FOUNDATION


Long. Trans. Lever Arm Lever Arm Long. Trans.
Load Combination
S.No. Shear Shear Long Trans Moment Moment
Units tm tm m m tm tm
1 SLS Rare Comb 1 3763 3037 3.09 2.82 8415 5749
2 SLS Rare Comb 2 3936 3034 3.11 2.82 9036 5742
3 SLS Rare Comb 3 3661 2910 3.10 2.82 8137 5396
4 SLS Rare Comb 4 4005 3146 3.10 2.82 9204 6050
5 SLS Rare Comb 5 3809 3037 3.09 2.82 8573 5744
6 SLS Rare Comb 6 3706 3047 3.08 2.82 8206 5779
7 SLS Rare Comb 7 3735 3017 3.09 2.82 8327 5695
8 SLS Rare Comb 8 3908 3015 3.11 2.82 8948 5688
9 SLS Rare Comb 9 3634 2890 3.10 2.82 8049 5342

___________________________________________________________________________________________________________________
166
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
10 SLS Rare Comb 10 3977 3127 3.10 2.82 9116 5996
11 SLS Rare Comb 11 3781 3017 3.09 2.82 8485 5690
12 SLS Rare Comb 12 3735 3017 3.09 2.82 8327 5695
13 SLS Rare Comb 13 3733 2943 3.09 2.81 8334 5460
14 SLS Rare Comb 14 3863 2941 3.11 2.81 8800 5455
15 SLS Rare Comb 15 3657 2848 3.10 2.82 8125 5195
16 SLS Rare Comb 16 3915 3025 3.10 2.81 8926 5686
17 SLS Rare Comb 17 3716 2953 3.09 2.81 8261 5484
18 SLS Rare Comb 18 3598 2833 3.09 2.81 7910 5146
19 SLS Rare Comb 19 3705 2924 3.09 2.81 8246 5406
20 SLS Rare Comb 20 3835 2922 3.11 2.81 8712 5400
21 SLS Rare Comb 21 3629 2828 3.10 2.82 8038 5141
22 SLS Rare Comb 22 3887 3006 3.10 2.81 8838 5632
23 SLS Rare Comb 23 3688 2934 3.09 2.81 8173 5430
24 SLS Rare Comb 24 3570 2814 3.09 2.81 7822 5091
25 SLS Rare Comb 25 3969 3432 3.11 2.87 9125 7031
26 SLS Rare Comb 26 4143 3429 3.13 2.87 9746 7023
27 SLS Rare Comb 27 3868 3305 3.12 2.87 8847 6678
28 SLS Rare Comb 28 4211 3541 3.12 2.87 9914 7332
29 SLS Rare Comb 29 3809 3037 3.09 2.82 8573 5744
30 SLS Rare Comb 30 3969 3432 3.11 2.87 9125 7031
31 SLS Rare Comb 31 3941 3412 3.11 2.87 9037 6976
32 SLS Rare Comb 32 4115 3410 3.13 2.87 9658 6969
33 SLS Rare Comb 33 3840 3285 3.12 2.88 8759 6623
34 SLS Rare Comb 34 4183 3522 3.12 2.87 9826 7277
35 SLS Rare Comb 35 3781 3017 3.09 2.82 8485 5690
36 SLS Rare Comb 36 3941 3412 3.11 2.87 9037 6976
37 SLS Rare Comb 37 4099 3651 3.12 2.90 9596 7760
38 SLS Rare Comb 38 4229 3649 3.14 2.90 10062 7755
39 SLS Rare Comb 39 4023 3556 3.13 2.90 9388 7495
40 SLS Rare Comb 40 4281 3733 3.13 2.90 10188 7986
41 SLS Rare Comb 41 4176 3643 3.13 2.90 9872 7733
42 SLS Rare Comb 42 4099 3651 3.12 2.90 9596 7760
43 SLS Rare Comb 43 4071 3632 3.12 2.90 9508 7706
44 SLS Rare Comb 44 4201 3630 3.14 2.90 9974 7700
45 SLS Rare Comb 45 3995 3537 3.13 2.90 9300 7441
46 SLS Rare Comb 46 4253 3714 3.13 2.90 10101 7931
47 SLS Rare Comb 47 4148 3624 3.13 2.90 9784 7679
48 SLS Rare Comb 48 4071 3632 3.12 2.90 9508 7706
49 SLS Rare Comb 49 4037 3652 3.13 2.91 9429 7807
50 SLS Rare Comb 50 4037 3652 3.13 2.91 9429 7807
51 SLS Rare Comb 51 4037 3652 3.13 2.91 9429 7807
52 SLS Rare Comb 52 4037 3652 3.13 2.91 9429 7807
53 SLS Rare Comb 53 4037 3652 3.13 2.91 9429 7807
54 SLS Rare Comb 54 4037 3652 3.13 2.91 9429 7807
55 SLS Rare Comb 55 4009 3633 3.13 2.91 9341 7752
56 SLS Rare Comb 56 4009 3633 3.13 2.91 9341 7752
57 SLS Rare Comb 57 4009 3633 3.13 2.91 9341 7752
58 SLS Rare Comb 58 4009 3633 3.13 2.91 9341 7752
59 SLS Rare Comb 59 4009 3633 3.13 2.91 9341 7752
60 SLS Rare Comb 60 4009 3633 3.13 2.91 9341 7752
Max. Values 4281 3733 3 3 10188 7986
Moments are obtained after reduction of Bending Moment due to weight of Foundation.

___________________________________________________________________________________________________________________
167
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.20 DESIGN OF OPEN FOUNDATION FOR SLS RARE COMBINATIONS
Moments
Long. Trans.
Combinations
Section Section
tm tm
SLS RARE 9914 7332
SLS STRESS CHECK
Trans.
DESIGN CHECK OF OPEN FOUNDATION Units
Long. Section Section
Moment for Stress Check 9914 7332 tm
Ast 226617 226617 mm2
Effective Cover 133 165 mm
Es 200000 200000 N/mm2
Ec 32000 32000 N/mm2
m(Es/Ec) Short Term 6.250 6.250
Depth of Neutral Axis (Short Term) 733 730 mm
Concrete Strain (Short Term) 0.000139 0.00010391
Concrete Stress Allowable 21.6 21.6 N/mm2
Concrete Stress (Short Term) 4.44 3.33 N/mm2
Creep Coefficient 1.5 1.5
m(Es/Ec)Long Term 15.63 15.63
Depth of Neutral Axis (Long Term) 1091 1086 mm
Concrete Strain (Long Term) 0.00024 0.00018
Steel Strain (Long Term) 0.00061 0.00046
Steel Stress Allowable 400 400 N/mm2
Steel Stress (Long Term) 122.52 91.40 N/mm2

15.21 FORCES AT OPEN FOUNDATION BOTTOM FOR QUASI PERMANENT LOAD COMBINATIONS

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS QP Comb 1 8337 6165 0 244 0 6165 0
2 SLS QP Comb 2 8337 6165 0 244 0 6165 0

PRESSURE AT KEY POINTS FOR SLS QUASI PERMANENT COMBINATIONS


Load Combination P1 P2 P3 P4 P5 P6 P7 P8
S.No. 2 2 2 2 2 2
Units t/m t/m t/m t/m t/m t/m t/m2 t/m2
1 SLS QP Comb 1 39 39 22 22 33 33 22 39
2 SLS QP Comb 2 39 39 22 22 33 33 22 39

15.22 SLS QUASI PERMANENT DESIGN FORCES FOR OPEN FOUNDATION DESIGN
Long. Trans. Lever Arm Lever Arm Long. Trans.
Load Combination
S.No. Shear Shear Long Trans Moment Moment
Units t t m m tm tm
1 SLS QP Comb 1 3550 2842 3.08 2.81 7736 5171
2 SLS QP Comb 2 3550 2842 3.08 2.81 7736 5171

___________________________________________________________________________________________________________________
168
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.23 DESIGN OF OPEN FOUNDATION FOR SLS QUASI PERMANENT COMBINATIONS
Moments
Long. Trans.
Combinations
Section Section
tm tm
SLS QUASI 7736 5171

SLS CRACK WIDTH CHECK


Moment for Crack Width Check 7736 5171 tm
Depth of Neutral Axis (Long Term) 1091 1086 mm
Concrete Strain 0.00019 0.00013
Steel Strain 0.00048 0.00032
Stress in Reinf. 96 64 Mpa
kt 0.5 0.5
fct,eff 1.9 1.9
Alpha eff 15.63 15.63
Ast 226617 226617 mm2
x 1091 1086 mm
Aceff 5502955.247 6822955.25
Rho eff 0.041180953 0.0332139
k1 0.8 0.8
k2 0.5 0.5
Srmax 302.1 333.8 mm
esm-ecm 0.000288457 0.00019338
Allowable Crack Width 0.3 0.3 mm
Crack Width IRC 0.09 0.06 mm

PUNCHING CHECK FOR OPEN FOUNDATION

Check at Face of Pier


Pier Width = 5250 mm
Pier Length = 4500 mm
Perimeter, u o = 19500 mm
Effective Depth = 3867 mm (for longitudinal section)
= 3835 mm (for transverse section)
Avg. depth, d = 3851 mm

Punching Shear, V Ed = 8298 t


Corresponding M Ed = 0 tm

Axial Load for Calculation of Relief Load = 8298 t


Foundation area = 272250000 mm2
Punching area = 23625000 mm2
Relief load on punching area = 720 t

Reduced Punching shear, VEd,red = 7578 t


βο = 1.0
ν Ed,red = βo V Ed,red / u o d = 1.01 MPa
ν Rd,max = 0.134f ck (1-f ck /310) = 5.15 MPa Safe

Check at Control Perimeter i.e. d distance from pier face


Depth at Pier Edge = 4000 mm
Depth at Edge = 2250 mm
Constant Portion Length = 7500 mm
Distance of Section from Center of FDN. = 5676 mm
Depth at d distance = 3251 mm
Effective Depth = 3151 mm (for longitudinal section)
= 2951 mm (for transverse section)
Avg. depth, d = 3051 mm

___________________________________________________________________________________________________________________
169
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Perimeter, u 1 = 38660 mm
2
Area in Perimeter for Relief Load = 112348507 mm
Relief load on punching area = 3424 t

Reduced Punching shear, VEd,red = 4873 t


Beta Factor = 1.0
ν Ed,red = β1 V Ed,red / u 1 d = 0.41 MPa

ν Rd = 0.12k(80 ρ1 f ck ) 1/3 2d/a ≥ νmin 2d/a


where,
k = 1 + sqrt(200/d) <= 2 = 1.26
ρL = 0.00343
ρT = 0.00343
ρ1 = sqrt(ρL ρT) <= 0.02 = 0.00343
2d/av = 2.00
ν Rd = 1.39 MPa
νmin = 0.031 k3/2 fck1/2 2d/a = 1.17 MPa Safe

___________________________________________________________________________________________________________________
170
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
19 DESIGN OF FOUNDATION RAFT OF P2
The Design of Open Foundation is covered in this Section.
1. Geotechnical Design:
The Geotechnical Deisgn Covers the Maximum SBC requirements for the working combinations.
The Working Combinations for the Geotechnical Design are obtained from IRC 78.
2. Structural Design:
2.1. Ultimate Limit State
Ultimate Limit State is done for the Flexure as well as Shear.
2.2. Serviceability Limit State
The maximum stress in concrete and reinforcement is checked in this limit state.
The crack width check is also done.

19.1 FOUNDATION DESIGN PARAMETERS OF PILES AT P2


Foundation to be Designed For P2

Length = 16.5 m
Width = 16.5 m
Depth at Pier Edge = 4.0 m
Depth at Edge of Foundation = 2.25 m
Area = 272.25 m2
I long for Base Pressure Calculations = 6176.7 m4
I trans for Base Pressure Calculations = 6176.7 m4
Lever Arm in Long Direction = 8.25 m
Lever Arm in Trans Direction = 8.25 m
I/y Long Direction = 749 m3
I/y Trans Direction = 749 m3
Plan Area of Foundation = 272 m2
Concrete Grade = 45 N/mm2
Fct = 1.9 N/mm2
Modulus of Elasticity = 32000 N/mm2
Creep Coefficient = 1.5
Calculation of Additional Eccentricity due to Imperfections
The additional eccentricity due to imperfections is obtained from cl. 11.3.2.2 of IRC 112.
The additional eccentricity is calculated as per the expression shown below.
Additional Eccentricity e = 15 + Lo/800
where,
Lo is the Height of the Pier
Lo = 44948 mm
Additional Eccentricity (Geometric Imperfection) e = 71.19 mm

___________________________________________________________________________________________________________________
171
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Pier Width = 5250 mm
Pier Length = 4500 mm

Eccentricity Between Pier Center and Open Fdn Center Long. = 0.00 m
Eccentricity Between Pier Center and Open Fdn Center Trans. = 0.00 m
Depth of Soil Fill over Open Fdn = 1.50 m
Additional Soil Fill over Open Fdn = 0.00 m
Live Load Surcharge over Open Fdn = 0.00 t/m2
Total Additional Pressure over Open Fdn Due to Soil Fill + Add. Soil Fill = 3.00 t/m2
Area of Open Fdn = 272.3 m2
Area of Pier = 21.64 m2

Live Load Surcharge Weight = 0 tons


Note: Veritcal Load is Taken at Mid Height of the Pier for the Calculation of Imperfection Moments.

___________________________________________________________________________________________________________________
172
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

19.2 WORKING COMBINATION FORCES P2 AT BOTTOM OF PILE CAP Incl. Imperfections

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 Work. Comb I a 9388 10120 898 381 82 10661 1439
2 Work. Comb I b 8991 12792 903 306 85 13333 1444
3 Work. Comb I c 8987 11029 903 350 85 11542 1417
4 Work. Comb I d 9748 11578 748 384 76 12144 1314
5 Work. Comb I e 9441 9295 772 332 78 9841 1317
6 Work. Comb I f 9388 10120 898 381 82 10661 1439
7 Work. Comb II i a 9597 11919 6065 464 208 12474 6620
8 Work. Comb II i b 9200 14591 6069 389 211 15146 6625
9 Work. Comb II i c 9196 12828 6069 433 211 13356 6598
10 Work. Comb II i d 9801 9705 748 333 76 10275 1318
11 Work. Comb II i e 9441 9295 772 332 78 9841 1317
12 Work. Comb II i f 9388 10120 898 381 82 10661 1439
13 Work. Comb II i g 9182 14360 6800 451 224 14886 7326
14 Work. Comb II i h 9182 14360 6800 451 224 14886 7326
15 Work. Comb II i i 9182 14360 6800 451 224 14886 7326
16 Work. Comb II i j 9182 14360 6800 451 224 14886 7326
17 Work. Comb II i k 9182 14360 6800 451 224 14886 7326
18 Work. Comb II i l 9182 14360 6800 451 224 14886 7326
19 Work. Comb II ii a 9027 21473 778 652 78 21969 1274
20 Work. Comb II ii b 8948 22007 779 637 78 22504 1275
21 Work. Comb II ii c 8947 21655 779 646 78 22145 1270
22 Work. Comb II ii d 9099 21764 748 652 76 22266 1249
23 Work. Comb II ii e 8949 21464 748 635 76 21955 1239
24 Work. Comb II ii f 9027 21473 778 652 78 21969 1274
25 Work. Comb II ii g 9077 10085 11362 313 365 10583 11860
26 Work. Comb II ii h 8997 10620 11363 298 366 11118 11861
27 Work. Comb II ii i 8997 10267 11363 306 366 10759 11855
28 Work. Comb II ii j 9149 10377 11332 313 364 10880 11835
29 Work. Comb II ii k 9052 8204 11332 245 364 8700 11828
30 Work. Comb II ii l 9077 10085 11362 313 365 10583 11860
31 Work. Comb II ii m 8103 14719 778 559 78 15168 1226
32 Work. Comb II ii n 8023 15254 779 544 78 15702 1227
33 Work. Comb II ii o 8023 14901 779 553 78 15344 1222
34 Work. Comb II ii p 8175 15011 748 560 76 15465 1201
35 Work. Comb II ii q 8155 13056 753 509 77 13509 1205
36 Work. Comb II ii r 8025 14711 748 542 76 15154 1191
37 Work. Comb II iii a 9388 10120 898 381 82 10661 1439
38 Work. Comb II iii b 8991 12792 903 306 85 13333 1444
39 Work. Comb II iii c 8987 11029 903 350 85 11542 1417
40 Work. Comb II iii d 9748 11578 748 384 76 12144 1314
41 Work. Comb II iii e 9506 6458 772 249 78 7007 1321
42 Work. Comb II iii f 9388 10120 898 381 82 10661 1439

___________________________________________________________________________________________________________________
173
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

BEARING STRESS AT 4 CORNERS OF OPEN FOUNDATION


The working stresses are 4 corners of the open foundation are computed in this section.

BEARING STRESSES AT BOTTOM OF OPEN FOUNDATION WITHOUT REDISTRIBUTION


Load Combination P Net ML Net MT P1 P2 P3 P4 Load Combination
S.No. 2 2 2 2
Units t tm tm t/m t/m t/m t/m Description
1 Work. Comb I a 9388 10661 1439 50.6 46.8 22.2 18.3

COMBINATION
2 Work. Comb I b 8991 13333 1444 52.8 48.9 17.1 13.3

IRC 78
3 Work. Comb I c 8987 11542 1417 50.3 46.5 19.5 15.7

I
4 Work. Comb I d 9748 12144 1314 53.8 50.3 21.3 17.8
5 Work. Comb I e 9441 9841 1317 49.6 46.1 23.3 19.8
6 Work. Comb I f 9388 10661 1439 50.6 46.8 22.2 18.3
7 Work. Comb II i a 9597 12474 6620 60.8 43.1 27.4 9.7
8 Work. Comb II i b 9200 15146 6625 62.9 45.2 22.4 4.7

IRC 78 COMBINATION II
9 Work. Comb II i c 9196 13356 6598 60.4 42.8 24.8 7.1
10 Work. Comb II i d 9801 10275 1318 51.5 48.0 24.0 20.5

WIND CASES
11 Work. Comb II i e 9441 9841 1317 49.6 46.1 23.3 19.8
12 Work. Comb II i f 9388 10661 1439 50.6 46.8 22.2 18.3
13 Work. Comb II i g 9182 14886 7326 63.4 43.8 23.6 4.1
14 Work. Comb II i h 9182 14886 7326 63.4 43.8 23.6 4.1
15 Work. Comb II i i 9182 14886 7326 63.4 43.8 23.6 4.1
16 Work. Comb II i j 9182 14886 7326 63.4 43.8 23.6 4.1
17 Work. Comb II i k 9182 14886 7326 63.4 43.8 23.6 4.1
18 Work. Comb II i l 9182 14886 7326 63.4 43.8 23.6 4.1
19 Work. Comb II ii a 9027 21969 1274 64.2 60.8 5.5 2.1
COMBINATION

Long. Capacity

20 Work. Comb II ii b 8948 22504 1275 64.6 61.2 4.5 1.1


Forces
IRC 78

21 Work. Comb II ii c 8947 22145 1270 64.1 60.7 5.0 1.6


II

22 Work. Comb II ii d 9099 22266 1249 64.8 61.5 5.4 2.0


23 Work. Comb II ii e 8949 21955 1239 63.9 60.5 5.2 1.9
24 Work. Comb II ii f 9027 21969 1274 64.2 60.8 5.5 2.1
25 Work. Comb II ii g 9077 10583 11860 63.3 31.6 35.0 3.4
COMBINATION COMBINATION

26 Work. Comb II ii h 8997 11118 11861 63.7 32.1 34.0 2.4


Capacity
Forces
IRC 78

Trans.

27 Work. Comb II ii i 8997 10759 11855 63.3 31.6 34.5 2.8


II

28 Work. Comb II ii j 9149 10880 11835 63.9 32.3 34.9 3.3


29 Work. Comb II ii k 9052 8700 11828 60.7 29.1 37.4 5.8
30 Work. Comb II ii l 9077 10583 11860 63.3 31.6 35.0 3.4
31 Work. Comb II ii m 8103 15168 1226 51.7 48.4 11.1 7.9
Vertical: 100

32 Work. Comb II ii n 8023 15702 1227 52.1 48.8 10.1 6.9


Long. : 130
Trans.: 30
IRC 78

33 Work. Comb II ii o 8023 15344 1222 51.6 48.3 10.6 7.3


II

34 Work. Comb II ii p 8175 15465 1201 52.3 49.1 11.0 7.8


35 Work. Comb II ii q 8155 13509 1205 49.6 46.4 13.5 10.3
36 Work. Comb II ii r 8025 15154 1191 51.3 48.1 10.8 7.6

___________________________________________________________________________________________________________________
174
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
37 Work. Comb II iii a 9388 10661 1439 50.6 46.8 22.2 18.3

COMBINATION
38 Work. Comb II iii b 8991 13333 1444 52.8 48.9 17.1 13.3

IRC 78
39 Work. Comb II iii c 8987 11542 1417 50.3 46.5 19.5 15.7

III
40 Work. Comb II iii d 9748 12144 1314 53.8 50.3 21.3 17.8
41 Work. Comb II iii e 9506 7007 1321 46.0 42.5 27.3 23.8
42 Work. Comb II iii f 9388 10661 1439 50.6 46.8 22.2 18.3

LENGTH OF FOUNDATION IN TENSION ALONG THE EDGES


LENGTH ALONG LENGTH ALONG LENGTH ALONG LENGTH ALONG
Net FDN
P1-P2 P1-P3 P2-P4 P4-P3
Load Combination Area in
S.No. Length in Length in Length in Length in
Length Length Length Length Comp.
Tension Tension Tension Tension
Units m m m m m m m m m2
1 Work. Comb I a 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
2 Work. Comb I b 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
3 Work. Comb I c 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
4 Work. Comb I d 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
5 Work. Comb I e 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
6 Work. Comb I f 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
7 Work. Comb II i a 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
8 Work. Comb II i b 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
9 Work. Comb II i c 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
10 Work. Comb II i d 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
11 Work. Comb II i e 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
12 Work. Comb II i f 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
13 Work. Comb II i g 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
14 Work. Comb II i h 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
15 Work. Comb II i i 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
16 Work. Comb II i j 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
17 Work. Comb II i k 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
18 Work. Comb II i l 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
19 Work. Comb II ii a 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
20 Work. Comb II ii b 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
21 Work. Comb II ii c 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
22 Work. Comb II ii d 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
23 Work. Comb II ii e 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
24 Work. Comb II ii f 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
25 Work. Comb II ii g 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
26 Work. Comb II ii h 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
27 Work. Comb II ii i 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
28 Work. Comb II ii j 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
29 Work. Comb II ii k 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
30 Work. Comb II ii l 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
31 Work. Comb II ii m 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
32 Work. Comb II ii n 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
33 Work. Comb II ii o 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
34 Work. Comb II ii p 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
35 Work. Comb II ii q 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
36 Work. Comb II ii r 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
37 Work. Comb II iii a 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
38 Work. Comb II iii b 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
39 Work. Comb II iii c 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
40 Work. Comb II iii d 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
41 Work. Comb II iii e 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272
42 Work. Comb II iii f 16.50 0 16.5 0.0 16.5 0.0 16.5 0.0 272

___________________________________________________________________________________________________________________
175
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
CHECK OF MAXIMUM AREA IN TENSION AND CALCULATION OF MAXIMUM STRESS WITH REDUCED AREA
BEFORE REDISTRIBUTION AFTER REDISTRIBUTION
Net FDN Area in Min. Adopted Adopted
Load Combination % Area in P1 % Area in
S.No. Area in Tension Allowed in Width Length Check
2 2 Comp. 2 Comp.
Units m m Comp. m m t/m
1 Work. Comb I a 272 0 100 80 16.5 16.50 51 100 OK
2 Work. Comb I b 272 0 100 80 16.5 16.50 53 100 OK
3 Work. Comb I c 272 0 100 80 16.5 16.50 50 100 OK
4 Work. Comb I d 272 0 100 80 16.5 16.50 54 100 OK
5 Work. Comb I e 272 0 100 80 16.5 16.50 50 100 OK
6 Work. Comb I f 272 0 100 80 16.5 16.50 51 100 OK
7 Work. Comb II i a 272 0 100 80 16.5 16.50 61 100 OK
8 Work. Comb II i b 272 0 100 80 16.5 16.50 63 100 OK
9 Work. Comb II i c 272 0 100 80 16.5 16.50 60 100 OK
10 Work. Comb II i d 272 0 100 80 16.5 16.50 51 100 OK
11 Work. Comb II i e 272 0 100 80 16.5 16.50 50 100 OK
12 Work. Comb II i f 272 0 100 80 16.5 16.50 51 100 OK
13 Work. Comb II i g 272 0 100 80 16.5 16.50 63 100 OK
14 Work. Comb II i h 272 0 100 80 16.5 16.50 63 100 OK
15 Work. Comb II i i 272 0 100 80 16.5 16.50 63 100 OK
16 Work. Comb II i j 272 0 100 80 16.5 16.50 63 100 OK
17 Work. Comb II i k 272 0 100 80 16.5 16.50 63 100 OK
18 Work. Comb II i l 272 0 100 80 16.5 16.50 63 100 OK
19 Work. Comb II ii a 272 0 100 67 16.5 16.50 64 100 OK
20 Work. Comb II ii b 272 0 100 67 16.5 16.50 65 100 OK
21 Work. Comb II ii c 272 0 100 67 16.5 16.50 64 100 OK
22 Work. Comb II ii d 272 0 100 67 16.5 16.50 65 100 OK
23 Work. Comb II ii e 272 0 100 67 16.5 16.50 64 100 OK
24 Work. Comb II ii f 272 0 100 67 16.5 16.50 64 100 OK
25 Work. Comb II ii g 272 0 100 67 16.5 16.50 63 100 OK
26 Work. Comb II ii h 272 0 100 67 16.5 16.50 64 100 OK
27 Work. Comb II ii i 272 0 100 67 16.5 16.50 63 100 OK
28 Work. Comb II ii j 272 0 100 67 16.5 16.50 64 100 OK
29 Work. Comb II ii k 272 0 100 67 16.5 16.50 61 100 OK
30 Work. Comb II ii l 272 0 100 67 16.5 16.50 63 100 OK
31 Work. Comb II ii m 272 0 100 67 16.5 16.50 52 100 OK
32 Work. Comb II ii n 272 0 100 67 16.5 16.50 52 100 OK
33 Work. Comb II ii o 272 0 100 67 16.5 16.50 52 100 OK
34 Work. Comb II ii p 272 0 100 67 16.5 16.50 52 100 OK
35 Work. Comb II ii q 272 0 100 67 16.5 16.50 50 100 OK
36 Work. Comb II ii r 272 0 100 67 16.5 16.50 51 100 OK
37 Work. Comb II iii a 272 0 100 67 16.5 16.50 51 100 OK
38 Work. Comb II iii b 272 0 100 67 16.5 16.50 53 100 OK
39 Work. Comb II iii c 272 0 100 67 16.5 16.50 50 100 OK
40 Work. Comb II iii d 272 0 100 67 16.5 16.50 54 100 OK
41 Work. Comb II iii e 272 0 100 67 16.5 16.50 46 100 OK
42 Work. Comb II iii f 272 0 100 67 16.5 16.50 51 100 OK

___________________________________________________________________________________________________________________
176
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

MAXIMUM WORKING STRESS BELOW OPEN FOUNDATION


IRC 78 COMBINATION I 54 t/m2
IRC 78 COMBINATION II WIND CASES 63 t/m2
IRC 78 COMBINATION II Long. : 100 Trans.: 30Vertical: 30 65 t/m2
IRC 78 COMBINATION II Long. : 30 Trans.: 100Vertical: 30 64 t/m2
IRC 78 COMBINATION II Long. : 130Trans.: 30Vertical: 100 52 t/m2
IRC 78 COMBINATION III 54 t/m2

Permissible Increase in Allowable Base Pressure as per cl. 706.1.2 of IRC 78


Combination I 0%
Combination II 25 %
Combination III 25 %

SBC REQUIREMENT
IRC 78 COMBINATION I 54 t/m2
IRC 78 COMBINATION II WIND CASES 51 t/m2
IRC 78 COMBINATION II Long. : 100 Trans.: 30Vertical: 30 52 t/m2
IRC 78 COMBINATION II Long. : 30 Trans.: 100Vertical: 30 51 t/m2
IRC 78 COMBINATION II Long. : 130Trans.: 30Vertical: 100 42 t/m2
IRC 78 COMBINATION III 43 t/m2
MAXIMUM SBC REQUIREMENT 54 t/m2

OK

___________________________________________________________________________________________________________________
177
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.8 OPEN FOUNDATION SLIDING CHECK
The foundation sliding check is done using the following two approaches:

1. Sliding check as per cl. 706.3.4 of IRC 78 2014


In the sliding check as per cl. 706.3.4 of IRC 78 2014, no factors are applied to the sliding/restoring forces and the factor of safety
shall be as per the recommendations of this clause.
The Factor of Safety Against Sliding without seismic case shall be 2
The Factor of Safety Against Sliding with Seismic case shall be 1.25

2. Sliding check as per combinations in Table B.1 of IRC 6


In the Sliding check as per combinations in Table B.1 of IRC 6, the sliding and restoring forces are provided with different factors
and the factor of safety shall be greater than 1.

Sliding check as per cl. 706.3.4 of IRC 78 2014


Friction Coefficient 0.7
The restoring force against sliding is taken as Friction Coefficient x Factored Axial Load
SLIDING CHECK
Load Combination
Load Combination P HL HT
S.No. FOS Long. FOS Trans. Description
Units t t t
1 Work. Comb I a 9388 381 82 17.3 79.7

COMBINATION
2 Work. Comb I b 8991 306 85 20.6 74.0

IRC 78
3 Work. Comb I c 8987 350 85 18.0 74.0

I
4 Work. Comb I d 9748 384 76 17.8 89.4
5 Work. Comb I e 9441 332 78 19.9 84.7
6 Work. Comb I f 9388 381 82 17.3 79.7
7 Work. Comb II i a 9597 464 208 14.5 32.2
8 Work. Comb II i b 9200 389 211 16.6 30.5 IRC 78 COMBINATION II
9 Work. Comb II i c 9196 433 211 14.9 30.5
10 Work. Comb II i d 9801 333 76 20.6 89.9 WIND CASES
11 Work. Comb II i e 9441 332 78 19.9 84.7
12 Work. Comb II i f 9388 381 82 17.3 79.7
13 Work. Comb II i g 9182 451 224 14.2 28.8
14 Work. Comb II i h 9182 451 224 14.2 28.8
15 Work. Comb II i i 9182 451 224 14.2 28.8
16 Work. Comb II i j 9182 451 224 14.2 28.8
17 Work. Comb II i k 9182 451 224 14.2 28.8
18 Work. Comb II i l 9182 451 224 14.2 28.8
19 Work. Comb II ii a 9027 652 78 9.7 81.5
COMBINATION COMBINATION COMBINATION

20 Work. Comb II ii b 8948 637 78 9.8 80.2


Vertical: 30
Long. : 100
Trans.: 30
IRC 78

21 Work. Comb II ii c 8947 646 78 9.7 80.2


II

22 Work. Comb II ii d 9099 652 76 9.8 83.4


23 Work. Comb II ii e 8949 635 76 9.9 82.0
24 Work. Comb II ii f 9027 652 78 9.7 81.5
25 Work. Comb II ii g 9077 313 365 20.3 17.4
Vertical: 30

26 Work. Comb II ii h 8997 298 366 21.2 17.2


Trans.: 100
Long. : 30
IRC 78

27 Work. Comb II ii i 8997 306 366 20.6 17.2


II

28 Work. Comb II ii j 9149 313 364 20.5 17.6


29 Work. Comb II ii k 9052 245 364 25.9 17.4
30 Work. Comb II ii l 9077 313 365 20.3 17.4
31 Work. Comb II ii m 8103 559 78 10.1 73.1
Vertical: 100

32 Work. Comb II ii n 8023 544 78 10.3 71.9


Long. : 130
Trans.: 30
IRC 78

33 Work. Comb II ii o 8023 553 78 10.2 71.9


II

34 Work. Comb II ii p 8175 560 76 10.2 74.9


35 Work. Comb II ii q 8155 509 77 11.2 74.5
36 Work. Comb II ii r 8025 542 76 10.4 73.6
37 Work. Comb II iii a 9388 381 82 17.3 79.7
COMBINATION

38 Work. Comb II iii b 8991 306 85 20.6 74.0


IRC 78

39 Work. Comb II iii c 8987 350 85 18.0 74.0


III

40 Work. Comb II iii d 9748 384 76 17.8 89.4


41 Work. Comb II iii e 9506 249 78 26.7 85.3
42 Work. Comb II iii f 9388 381 82 17.3 79.7

___________________________________________________________________________________________________________________
178
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Sliding check as per combinations in Table B.1 of IRC 6
The factors for foundation sliding check are taken from the Table B.1 of IRC 6 2017.
The factor for all sliding forces is taken as 1.5 and the factor for all restoring forces is taken as .9.
The Factor of Safety shall be greater than 1.
Friction Coefficient 0.7
The restoring force against sliding is taken as Friction Coefficient x Factored Axial Load SLIDING CHECK
Load Combination P HL HT .9 x P 1.5 x HL 1.5 x HT
S.No. FOS Long. FOS Trans.
Units t t t t t t
1 Work. Comb I a 9388 381 82 8449 571 124 10.4 47.8
2 Work. Comb I b 8991 306 85 8092 458 128 12.4 44.4
3 Work. Comb I c 8987 350 85 8088 525 128 10.8 44.4
4 Work. Comb I d 9748 384 76 8773 576 115 10.7 53.6
5 Work. Comb I e 9441 332 78 8497 499 117 11.9 50.8
6 Work. Comb I f 9388 381 82 8449 571 124 10.4 47.8
7 Work. Comb II i a 9597 464 208 8637 696 313 8.7 19.3
8 Work. Comb II i b 9200 389 211 8280 583 317 9.9 18.3
9 Work. Comb II i c 9196 433 211 8277 650 317 8.9 18.3
10 Work. Comb II i d 9801 333 76 8821 500 115 12.4 53.9
11 Work. Comb II i e 9441 332 78 8497 499 117 11.9 50.8
12 Work. Comb II i f 9388 381 82 8449 571 124 10.4 47.8
13 Work. Comb II i g 9182 451 224 8264 677 335 8.5 17.3
14 Work. Comb II i h 9182 451 224 8264 677 335 8.5 17.3
15 Work. Comb II i i 9182 451 224 8264 677 335 8.5 17.3
16 Work. Comb II i j 9182 451 224 8264 677 335 8.5 17.3
17 Work. Comb II i k 9182 451 224 8264 677 335 8.5 17.3
18 Work. Comb II i l 9182 451 224 8264 677 335 8.5 17.3
19 Work. Comb II ii a 9027 652 78 8124 978 116 5.8 48.9
20 Work. Comb II ii b 8948 637 78 8053 955 117 5.9 48.1
21 Work. Comb II ii c 8947 646 78 8052 969 117 5.8 48.1
22 Work. Comb II ii d 9099 652 76 8189 979 115 5.9 50.1
23 Work. Comb II ii e 8949 635 76 8054 952 115 5.9 49.2
24 Work. Comb II ii f 9027 652 78 8124 978 116 5.8 48.9
25 Work. Comb II ii g 9077 313 365 8169 469 548 12.2 10.4
26 Work. Comb II ii h 8997 298 366 8098 446 549 12.7 10.3
27 Work. Comb II ii i 8997 306 366 8097 460 549 12.3 10.3
28 Work. Comb II ii j 9149 313 364 8234 470 546 12.3 10.6
29 Work. Comb II ii k 9052 245 364 8146 368 546 15.5 10.4
30 Work. Comb II ii l 9077 313 365 8169 469 548 12.2 10.4
31 Work. Comb II ii m 8103 559 78 7292 839 116 6.1 43.9
32 Work. Comb II ii n 8023 544 78 7221 816 117 6.2 43.2
33 Work. Comb II ii o 8023 553 78 7220 829 117 6.1 43.1
34 Work. Comb II ii p 8175 560 76 7357 839 115 6.1 45.0
35 Work. Comb II ii q 8155 509 77 7340 764 115 6.7 44.7
36 Work. Comb II ii r 8025 542 76 7222 813 115 6.2 44.1
37 Work. Comb II iii a 9388 381 82 8449 571 124 10.4 47.8
38 Work. Comb II iii b 8991 306 85 8092 458 128 12.4 44.4
39 Work. Comb II iii c 8987 350 85 8088 525 128 10.8 44.4
40 Work. Comb II iii d 9748 384 76 8773 576 115 10.7 53.6
41 Work. Comb II iii e 9506 249 78 8555 374 117 16.0 51.2
42 Work. Comb II iii f 9388 381 82 8449 571 124 10.4 47.8

___________________________________________________________________________________________________________________
179
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.9 OPEN FOUNDATION OVERTURNING CHECK
The foundation overturning check is done using the following two approaches:
1. Overturning Check as per cl. 706.3.4 of IRC 78 2014
In the Oveturning check as per cl. 706.3.4 of IRC 78 2014, no factors are applied to the Oveturning/restoring forces and the factor of safety
shall be as per the recommendations of this clause.
The Factor of Safety Against Oveturning without seismic case shall be 2
The Factor of Safety Against Oveturning with Seismic case shall be 1.5

2. Overturning Check as per combinations in Table B.1 of IRC 6


In the Oveturning check as per combinations in Table B.1 of IRC 6, the Oveturning and restoring forces are provided with different factors
and the factor of safety shall be greater than 1.

Overturning check as per cl. 706.3.4 of IRC 78 2014


The restoring moment is taken as Factored Load x Distance between CG of
OVERTURNING CHECK
Foundation and Point of overturning.
Overturn. Overturn. Restoring Restoring Load Combination
Load Combination P
S.No. ML MT ML MT FOS Long. FOS Trans. Description
Units t tm tm t tm
1 Work. Comb I a 9388 10661 1439 77449 77449 7.3 53.8

COMBINATION
2 Work. Comb I b 8991 13333 1444 74179 74179 5.6 51.4

IRC 78
3 Work. Comb I c 8987 11542 1417 74144 74144 6.4 52.3

I
4 Work. Comb I d 9748 12144 1314 80422 80422 6.6 61.2
5 Work. Comb I e 9441 9841 1317 77885 77885 7.9 59.1
6 Work. Comb I f 9388 10661 1439 77449 77449 7.3 53.8
7 Work. Comb II i a 9597 12474 6620 79174 79174 6.3 12.0
8 Work. Comb II i b 9200 15146 6625 75904 75904 5.0 11.5

IRC 78 COMBINATION II
9 Work. Comb II i c 9196 13356 6598 75869 75869 5.7 11.5
10 Work. Comb II i d 9801 10275 1318 80856 80856 7.9 61.3

WIND CASES
11 Work. Comb II i e 9441 9841 1317 77885 77885 7.9 59.1
12 Work. Comb II i f 9388 10661 1439 77449 77449 7.3 53.8
13 Work. Comb II i g 9182 14886 7326 75754 75754 5.1 10.3
14 Work. Comb II i h 9182 14886 7326 75754 75754 5.1 10.3
15 Work. Comb II i i 9182 14886 7326 75754 75754 5.1 10.3
16 Work. Comb II i j 9182 14886 7326 75754 75754 5.1 10.3
17 Work. Comb II i k 9182 14886 7326 75754 75754 5.1 10.3
18 Work. Comb II i l 9182 14886 7326 75754 75754 5.1 10.3
19 Work. Comb II ii a 9027 21969 1274 74473 74473 3.4 58.4
COMBINATION

20 Work. Comb II ii b 8948 22504 1275 73819 73819 3.3 57.9

Vertical: 30
Long. : 100
Trans.: 30
IRC 78

21 Work. Comb II ii c 8947 22145 1270 73812 73812 3.3 58.1


II

22 Work. Comb II ii d 9099 22266 1249 75067 75067 3.4 60.1


23 Work. Comb II ii e 8949 21955 1239 73831 73831 3.4 59.6
24 Work. Comb II ii f 9027 21969 1274 74473 74473 3.4 58.4

___________________________________________________________________________________________________________________
180
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
25 Work. Comb II ii g 9077 10583 11860 74883 74883 7.1 6.3

COMBINATION COMBINATION
26 Work. Comb II ii h 8997 11118 11861 74229 74229 6.7 6.3

Vertical: 30
Trans.: 100
Long. : 30
IRC 78
27 Work. Comb II ii i 8997 10759 11855 74222 74222 6.9 6.3

II
28 Work. Comb II ii j 9149 10880 11835 75477 75477 6.9 6.4
29 Work. Comb II ii k 9052 8700 11828 74676 74676 8.6 6.3
30 Work. Comb II ii l 9077 10583 11860 74883 74883 7.1 6.3
31 Work. Comb II ii m 8103 15168 1226 66848 66848 4.4 54.5

Vertical: 100
32 Work. Comb II ii n 8023 15702 1227 66193 66193 4.2 53.9

Long. : 130
Trans.: 30
IRC 78
33 Work. Comb II ii o 8023 15344 1222 66187 66187 4.3 54.2

II
34 Work. Comb II ii p 8175 15465 1201 67442 67442 4.4 56.1
35 Work. Comb II ii q 8155 13509 1205 67282 67282 5.0 55.8
36 Work. Comb II ii r 8025 15154 1191 66206 66206 4.4 55.6
37 Work. Comb II iii a 9388 10661 1439 77449 77449 7.3 53.8

COMBINATION
38 Work. Comb II iii b 8991 13333 1444 74179 74179 5.6 51.4

IRC 78
39 Work. Comb II iii c 8987 11542 1417 74144 74144 6.4 52.3

III
40 Work. Comb II iii d 9748 12144 1314 80422 80422 6.6 61.2
41 Work. Comb II iii e 9506 7007 1321 78422 78422 11.2 59.4
42 Work. Comb II iii f 9388 10661 1439 77449 77449 7.3 53.8

Overturning check as per combinations in Table B.1 of IRC 6


The factors for foundation overturning check are taken from the Table B.1 of IRC 6 2017.
The factor for all sliding forces is taken as 1.5 and the factor for all restoring forces is taken as .9.
The Factor of Safety shall be greater than 1.
The restoring moment is taken as Factored Load x Distance between CG of Foundation and Point
OVERTURNING CHECK
of overturning.
Load Combination P Net ML Net MT .9 x P 1.5 x ML 1.5 x MT
S.No. FOS Long. FOS Trans.
Units t tm tm t tm tm
1 Work. Comb I a 9388 10661 1439 8449 15991 2159 4.4 32.3
2 Work. Comb I b 8991 13333 1444 8092 19999 2167 3.3 30.8
3 Work. Comb I c 8987 11542 1417 8088 17313 2126 3.9 31.4
4 Work. Comb I d 9748 12144 1314 8773 18216 1971 4.0 36.7
5 Work. Comb I e 9441 9841 1317 8497 14762 1976 4.7 35.5
6 Work. Comb I f 9388 10661 1439 8449 15991 2159 4.4 32.3
7 Work. Comb II i a 9597 12474 6620 8637 18711 9930 3.8 7.2
8 Work. Comb II i b 9200 15146 6625 8280 22719 9937 3.0 6.9
9 Work. Comb II i c 9196 13356 6598 8277 20033 9896 3.4 6.9
10 Work. Comb II i d 9801 10275 1318 8821 15413 1978 4.7 36.8
11 Work. Comb II i e 9441 9841 1317 8497 14762 1976 4.7 35.5
12 Work. Comb II i f 9388 10661 1439 8449 15991 2159 4.4 32.3
13 Work. Comb II i g 9182 14886 7326 8264 22329 10989 3.1 6.2
14 Work. Comb II i h 9182 14886 7326 8264 22329 10989 3.1 6.2
15 Work. Comb II i i 9182 14886 7326 8264 22329 10989 3.1 6.2
16 Work. Comb II i j 9182 14886 7326 8264 22329 10989 3.1 6.2
17 Work. Comb II i k 9182 14886 7326 8264 22329 10989 3.1 6.2
18 Work. Comb II i l 9182 14886 7326 8264 22329 10989 3.1 6.2
19 Work. Comb II ii a 9027 21969 1274 8124 32954 1911 2.0 35.1
20 Work. Comb II ii b 8948 22504 1275 8053 33755 1913 2.0 34.7
21 Work. Comb II ii c 8947 22145 1270 8052 33218 1905 2.0 34.9
22 Work. Comb II ii d 9099 22266 1249 8189 33399 1874 2.0 36.1
23 Work. Comb II ii e 8949 21955 1239 8054 32933 1858 2.0 35.8
24 Work. Comb II ii f 9027 21969 1274 8124 32954 1911 2.0 35.1
25 Work. Comb II ii g 9077 10583 11860 8169 15875 17789 4.2 3.8
26 Work. Comb II ii h 8997 11118 11861 8098 16676 17791 4.0 3.8
27 Work. Comb II ii i 8997 10759 11855 8097 16139 17783 4.1 3.8
28 Work. Comb II ii j 9149 10880 11835 8234 16320 17752 4.2 3.8
29 Work. Comb II ii k 9052 8700 11828 8146 13050 17742 5.1 3.8
30 Work. Comb II ii l 9077 10583 11860 8169 15875 17789 4.2 3.8
31 Work. Comb II ii m 8103 15168 1226 7292 22752 1839 2.6 32.7
32 Work. Comb II ii n 8023 15702 1227 7221 23554 1841 2.5 32.4
33 Work. Comb II ii o 8023 15344 1222 7220 23016 1833 2.6 32.5
34 Work. Comb II ii p 8175 15465 1201 7357 23197 1802 2.6 33.7
35 Work. Comb II ii q 8155 13509 1205 7340 20263 1808 3.0 33.5

___________________________________________________________________________________________________________________
181
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
36 Work. Comb II ii r 8025 15154 1191 7222 22731 1786 2.6 33.4
37 Work. Comb II iii a 9388 10661 1439 8449 15991 2159 4.4 32.3
38 Work. Comb II iii b 8991 13333 1444 8092 19999 2167 3.3 30.8
39 Work. Comb II iii c 8987 11542 1417 8088 17313 2126 3.9 31.4
40 Work. Comb II iii d 9748 12144 1314 8773 18216 1971 4.0 36.7
41 Work. Comb II iii e 9506 7007 1321 8555 10511 1982 6.7 35.6
42 Work. Comb II iii f 9388 10661 1439 8449 15991 2159 4.4 32.3

___________________________________________________________________________________________________________________
182
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.10 ULS LOAD COMBINATIONS FOR DESIGN OF OPEN FOUNDATIONS

The slenderness of the pier need to be checked as per the requirement of IRC 112. Additonal eccentricity can will
be introducted due to the slenderness effect. The same can be computed as per IRC 112.
Accidental Eccentricity = 71.19 mm
Additional Eccentricity due to Slenderness Long. eLong. = 71 mm
Additional Eccentricity due to Slenderness Trans eTrans. = 71 mm

Calculation of Additional Eccentricity due to Slenderness Effects


The additional eccentricity due to Slenderness Effects is computed as per cl. 11.2 of IRC 112 2020.
Determination of Slenderness Ratio
The slenderness ratio is defined as:
λ = Le/i
Where
λ is the slenderness ratio
Le is the effective length
i is the radius of gyration of the uncracked concrete section
The Effective Length is obtained from Table 11.1 of IRC 112 2020.
Direction Longitudinal Transverse
FRL - Open Foundation Top 51.20 51.20
Depth of Structure 6.25 6.25
Clear Height of Pier Column 44.95 51.20 m
Factor 1.50 2.30
Le 67.42 117.76 m
Width of Pier 5.25 4.50 m
Length of Pier 4.50 5.25 m
Clear Distance Between Piers NA NA m
Area 15.75 15.75 m2
Moment of Inertia 38.77 47.20 m4
i 1.57 1.73 m
λ 42.98 68.02
The limitation of λ is obtained from equation 11.1 of IRC 112 2011
λlim = 20 x A x B x C / sqrt(n)
Calculation of rm
rm = M1/M2
Condition Unbraced Unbraced
rm 1.00 1.00
C= 0.70 0.70
Reinf. Percentage 2.31 2.31
Cross Section Area 15750000 15750000
Area of Reinforcement 363825 363825
Fyd 435 435
Ac 15750000 15750000
Fcd 22 22
Mechanical reinforcement Ratio 0.45 0.45
B 1.38 1.38
M Quasi 5072 0 ton m
M ULS 21259 11516 ton m
φ 1.50 1.50
φeff 0.36 0.00
A 0.74 1.00
Ned 8297.55 8297.55 tons
n 0.23 0.23
λlim = 29.51 40.07
Slender Slender

___________________________________________________________________________________________________________________
183
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Calculation of Additional Eccentricity
The additional eccentricity is computed as per cl. 11.3.2.2 of IRC 112.
e = 1/r x Le2 / c
1/r = KrKΦ 1/r0
Kr = (nu -n)/(nu-nbal)
n= 0.232 0.232
nu = 1.452 1.452
nbal 0.40 0.40
Kr = 1.000 1.000
KΦ = 1 + βΦeff
β 0.313 0.147
KΦ = 1.112 1.000
1/r0 = εyd/.45d
d = h/2 + i
Width of Column 5250 4500 mm
Length of Column 4500 5250 mm
d= 3300 3863
1/r0 = 0.00000146 0.00000125
1/r = 0.00000163 0.00000125
e= 1481 1735 mm

The additional eccentricity is required to be adopted only if the column is under the Slender category
Add. Eccentricity due to Slenderness Long. eLong. = 1481 mm
Add. Eccentricity due to Slenderness Trans eTrans. = 1735 mm

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 ULS Comb 1 12875 10674 974 444 85 26908 19863
2 ULS Comb 2 12281 14682 981 331 89 30916 19870
3 ULS Comb 3 12275 12037 981 397 89 27377 18830
4 ULS Comb 4 13416 12861 748 448 76 29928 20606
5 ULS Comb 5 12739 11865 775 416 78 27903 19436
6 ULS Comb 6 12875 10674 974 444 85 26908 19863
7 ULS Comb 7 9588 9954 974 418 85 22057 15055
8 ULS Comb 8 8993 13962 981 305 89 26065 15063
9 ULS Comb 9 8987 11317 981 372 89 22525 14022
10 ULS Comb 10 9866 11616 748 392 76 24151 15333
11 ULS Comb 11 9452 11145 775 391 78 23052 14629
12 ULS Comb 12 9588 9954 974 418 85 22057 15055
13 ULS Comb 13 12708 11783 921 444 83 27757 19508
14 ULS Comb 14 12252 14856 927 357 86 30830 19513
15 ULS Comb 15 12247 12828 927 409 86 28117 18716
16 ULS Comb 16 13122 13459 748 447 76 30072 20077
17 ULS Comb 17 12787 10179 775 371 78 26299 19531
18 ULS Comb 18 12787 8973 921 368 83 25082 19665
19 ULS Comb 19 9420 11063 921 419 83 22906 14700
20 ULS Comb 20 8964 14136 927 332 86 25978 14706
21 ULS Comb 21 8959 12108 927 383 86 23265 13908
22 ULS Comb 22 9834 12739 748 422 76 25221 15270
23 ULS Comb 23 9499 9459 775 346 78 21447 14723
24 ULS Comb 24 9499 8253 921 343 83 20231 14857
25 ULS Comb 25 13064 12293 5623 518 199 28810 24841
26 ULS Comb 26 12469 16301 5631 405 203 32818 24848
27 ULS Comb 27 12463 13656 5631 472 203 29279 23808
28 ULS Comb 28 13342 13955 5397 492 190 30904 25118
29 ULS Comb 29 12787 10179 775 371 78 26299 19531
30 ULS Comb 30 12927 12278 5571 489 197 28589 24549

___________________________________________________________________________________________________________________
184
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
31 ULS Comb 31 9776 11573 5623 493 199 23958 20034
32 ULS Comb 32 9181 15581 5631 380 203 27966 20041
33 ULS Comb 33 9175 12936 5631 447 203 24427 19001
34 ULS Comb 34 10054 13235 5397 467 190 26052 20311
35 ULS Comb 35 9499 9459 775 346 78 21447 14723
36 ULS Comb 36 9640 11558 5571 463 197 23737 19741
37 ULS Comb 37 13021 14481 8670 569 272 30926 27805
38 ULS Comb 38 12565 17554 8676 482 275 33999 27810
39 ULS Comb 39 12561 15526 8676 533 275 31286 27013
40 ULS Comb 40 13436 16158 8497 572 265 33242 28374
41 ULS Comb 41 12787 10179 775 371 78 26299 19531
42 ULS Comb 42 13021 14481 8670 569 272 30926 27805
43 ULS Comb 43 9733 13761 8670 544 272 26075 22997
44 ULS Comb 44 9278 16834 8676 457 275 29148 23003
45 ULS Comb 45 9273 14806 8676 508 275 26434 22205
46 ULS Comb 46 10148 15438 8497 547 265 28390 23567
47 ULS Comb 47 9499 9459 775 346 78 21447 14723
48 ULS Comb 48 9733 13761 8670 544 272 26075 22997
49 ULS Comb 49 12092 13914 9826 455 297 28943 27313
50 ULS Comb 50 12092 13914 9826 455 297 28943 27313
51 ULS Comb 51 12092 13914 9826 455 297 28943 27313
52 ULS Comb 52 12092 13914 9826 455 297 28943 27313
53 ULS Comb 53 12092 13914 9826 455 297 28943 27313
54 ULS Comb 54 12092 13914 9826 455 297 28943 27313
55 ULS Comb 55 8804 13194 9826 430 297 24092 22505
56 ULS Comb 56 8804 13194 9826 430 297 24092 22505
57 ULS Comb 57 8804 13194 9826 430 297 24092 22505
58 ULS Comb 58 8804 13194 9826 430 297 24092 22505
59 ULS Comb 59 8804 13194 9826 430 297 24092 22505
60 ULS Comb 60 8804 13194 9826 430 297 24092 22505
61 ULS Comb 61 12615 15348 9826 504 297 31175 28241
62 ULS Comb 62 12615 15348 9826 504 297 31175 28241
63 ULS Comb 63 12615 15348 9826 504 297 31175 28241
64 ULS Comb 64 12615 15348 9826 504 297 31175 28241
65 ULS Comb 65 12615 15348 9826 504 297 31175 28241
66 ULS Comb 66 9327 14628 9826 479 297 26324 23433
67 ULS Comb 67 9327 14628 9826 479 297 26324 23433
68 ULS Comb 68 9327 14628 9826 479 297 26324 23433
69 ULS Comb 69 9327 14628 9826 479 297 26324 23433
70 ULS Comb 70 9327 14628 9826 479 297 26324 23433
71 ULS Comb 71 9327 14628 9826 479 297 26324 23433
72 ULS Comb 72 9327 14628 9826 479 297 26324 23433
73 ULS Comb 73 12316 26950 778 821 78 41698 17938
74 ULS Comb 74 12237 27484 779 806 78 42233 17939
75 ULS Comb 75 12236 27132 779 815 78 41761 17801
76 ULS Comb 76 12389 27241 748 822 76 42101 18037
77 ULS Comb 77 12316 26950 778 821 78 41698 17938
78 ULS Comb 78 8951 26221 748 779 76 36721 12964
79 ULS Comb 79 9029 26230 778 796 78 38229 14739
80 ULS Comb 80 8949 26764 779 781 78 38763 14740
81 ULS Comb 81 8948 26412 779 790 78 38291 14601
82 ULS Comb 82 9101 26521 748 797 76 38632 14838
83 ULS Comb 83 9029 26230 778 796 78 38229 14739
84 ULS Comb 84 8951 26221 748 779 76 38103 14572
85 ULS Comb 85 12391 9869 16654 312 509 24663 33868
86 ULS Comb 86 12312 10403 16655 297 510 25198 33869
87 ULS Comb 87 12311 10050 16655 306 510 24726 33730
88 ULS Comb 88 12463 10160 16624 313 508 25066 33967
89 ULS Comb 89 12313 9860 16624 295 508 24537 33701
90 ULS Comb 90 12391 9869 16654 312 509 24663 33868
91 ULS Comb 91 9103 9149 16654 287 509 21194 30669
92 ULS Comb 92 9024 9683 16655 272 510 21728 30670

___________________________________________________________________________________________________________________
185
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
93 ULS Comb 93 9023 9331 16655 281 510 21256 30531
94 ULS Comb 94 9175 9440 16624 288 508 21597 30768
95 ULS Comb 95 9025 9140 16624 270 508 21068 30502
96 ULS Comb 96 9103 9149 16654 287 509 21194 30669
97 ULS Comb 97 10930 16820 778 682 78 30002 16116
98 ULS Comb 98 10851 17354 779 667 78 30536 16117
99 ULS Comb 99 10850 17002 779 676 78 30065 15978
100 ULS Comb 100 10852 16811 748 665 76 29876 15949
101 ULS Comb 101 10852 16811 748 665 76 29876 15949
102 ULS Comb 102 7564 16091 748 640 76 25024 11141
103 ULS Comb 103 10564 2198 778 -82 78 15855 16669
104 ULS Comb 104 10485 2732 779 -97 78 16390 16670
105 ULS Comb 105 10484 2379 779 -89 78 15918 16531
106 ULS Comb 106 10486 2189 748 -99 76 15729 16502
107 ULS Comb 107 10486 2189 748 -99 76 15729 16502
108 ULS Comb 108 10486 2189 748 -99 76 15729 16502
109 ULS Comb 109 9103 9149 778 287 78 20523 14012
110 ULS Comb 110 9024 9683 779 272 78 21057 14013
111 ULS Comb 111 9023 9331 779 281 78 20585 13874
112 ULS Comb 112 9175 9440 748 288 76 20925 14111
113 ULS Comb 113 9129 8422 753 263 77 19843 14041
114 ULS Comb 114 9103 9149 778 287 78 20523 14012

15.11 CRITICAL SECTIONS FOR DESIGN OF OPEN FOUNDATION TRANSVERSE SECTION


The design of open foundation is done at the following critical sections.

LONGITUDINAL SECTION

___________________________________________________________________________________________________________________
186
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
To determine the forces at these critical sections, the stresses at additional points as mentioned below are determined.

Design Forces at the Longitudinal Section are obtained by integrating the forces along P1, P3, P7 and P8.
Design Forces at the Transverse Section are obtained by integrating the forces along P1, P2, P5 an P6.

___________________________________________________________________________________________________________________
187
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.12 FOUNDATION PARAMETERS
Pier Size
Pier Length 4.5 m
Pier Width 5.25 m
Pier Center to Center NA m
Pier Equivalent Length 4.50 m
Pier Equivalent Width 5.25 m
Depth at Design Sections 4.00 m
Location of Section Check from Foundation Center, Long. Direction 2.25 m
Location of Section Check from Foundation Center, Trans. Direction 2.63 m
3
I/y Long. For P1 to P4 749 m
3
I/y Trans. For P1 to P4 749 m
3
I/y Long. For P5 - P6 2745.2 m
3
I/y Trans For P5 - P6 748.7 m
3
I/y Long. For P7 - P8 748.7 m
3
I/y Trans For P7 - P8 2353.0 m
Distance from Foundation Edge to Section Check Edge, Long. Direction 6.000 m
Distance from Foundation Edge to Section Check Edge, Trans Direction 5.625 m
Depth of Foundation At Edge 2.25 m
Depth of Foundation at Pier Face 4.00 m
Foundation Weight at Design Section Long Direction 773.44 t
Foundation Weight at Design Section Trans Direction 725.10 t
Moment due to Foundation Weight at Design Section Long Direction 2320.31 tm
Moment due to Foundation Weight at Design Section Trans Direction 2039.34 tm
Soil Fill over Open Foundation 1.50 m
Soil Weight at Design Section Long Direction 297.00 t
Soil Weight at Design Section Trans Direction 278.44 t
Moment due to Soil Weight at Design Section Long Direction 891.00 tm
Moment due to Soil Weight at Design Section Trans Direction 783.11 tm
Foundation + Soil Weight at Design Section Long Direction 1070 t
Foundation + Soil Weight at Design Section Trans Direction 1004 t
Moment due to Foundation + Soil Weight at Design Section Long Direction 3211 tm
Moment due to Foundation + Soil Weight at Design Section Trans Direction 2822 tm

15.13 STRESS AT POINTS P1 TO P8 FOR ULS FORCES


ULS PRESSURE AT BASE OF OPEN FOUNDATION WITHOUT REDISTRIBUTION
Load Combination P1 P2 P3 P4 P5 P6 P7 P8
S.No. 2 2 2 2 2 2
Units t/m t/m t/m t/m t/m t/m t/m2 t/m2
1 ULS Comb 1 110 57 38 -15 84 31 20 92
2 ULS Comb 2 113 60 30 -23 83 30 12 95
3 ULS Comb 3 107 57 34 -17 80 30 17 90
4 ULS Comb 4 117 62 37 -18 88 33 18 98
5 ULS Comb 5 110 58 35 -16 83 31 18 92
6 ULS Comb 6 110 57 38 -15 84 31 20 92
7 ULS Comb 7 85 45 26 -14 63 23 12 71
8 ULS Comb 8 88 48 18 -22 63 22 5 74
9 ULS Comb 9 82 44 22 -16 60 22 9 69
10 ULS Comb 10 89 48 24 -16 66 25 10 75
11 ULS Comb 11 85 46 23 -16 63 24 10 72
12 ULS Comb 12 85 45 26 -14 63 23 12 71
13 ULS Comb 13 110 58 36 -16 83 31 18 92
14 ULS Comb 14 112 60 30 -22 82 30 12 94
15 ULS Comb 15 108 58 32 -18 80 30 15 90
16 ULS Comb 16 115 62 35 -19 86 32 17 97
17 ULS Comb 17 108 56 38 -14 83 30 20 90
18 ULS Comb 18 107 54 40 -13 82 30 22 89
19 ULS Comb 19 85 46 24 -16 63 23 10 71
20 ULS Comb 20 87 48 18 -21 62 23 4 74
21 ULS Comb 21 83 45 20 -17 60 23 8 70
22 ULS Comb 22 90 49 23 -18 66 25 9 76
23 ULS Comb 23 83 44 26 -13 62 23 13 70

___________________________________________________________________________________________________________________
188
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
24 ULS Comb 24 82 42 28 -12 62 22 14 68
25 ULS Comb 25 120 53 43 -24 92 25 20 97
26 ULS Comb 26 123 56 35 -31 91 25 13 100
27 ULS Comb 27 117 53 38 -25 88 25 17 95
28 ULS Comb 28 124 57 41 -26 94 27 18 101
29 ULS Comb 29 108 56 38 -14 83 30 20 90
30 ULS Comb 30 118 53 42 -23 91 25 20 96
31 ULS Comb 31 95 41 31 -23 71 18 12 76
32 ULS Comb 32 98 44 23 -30 71 17 5 80
33 ULS Comb 33 92 41 26 -24 68 17 9 74
34 ULS Comb 34 99 45 29 -25 74 19 11 80
35 ULS Comb 35 83 44 26 -13 62 23 13 70
36 ULS Comb 36 93 41 30 -23 70 18 12 76
37 ULS Comb 37 126 52 44 -31 96 22 18 101
38 ULS Comb 38 129 54 38 -36 96 21 13 103
39 ULS Comb 39 124 52 40 -32 94 21 16 99
40 ULS Comb 40 132 56 43 -33 99 24 17 106
41 ULS Comb 41 108 56 38 -14 83 30 20 90
42 ULS Comb 42 126 52 44 -31 96 22 18 101
43 ULS Comb 43 101 40 32 -30 76 15 11 80
44 ULS Comb 44 104 42 26 -36 75 14 5 83
45 ULS Comb 45 99 40 28 -31 73 14 8 79
46 ULS Comb 46 107 44 31 -32 79 16 9 85
47 ULS Comb 47 83 44 26 -13 62 23 13 70
48 ULS Comb 48 101 40 32 -30 76 15 11 80
49 ULS Comb 49 120 47 42 -31 91 18 17 95
50 ULS Comb 50 120 47 42 -31 91 18 17 95
51 ULS Comb 51 120 47 42 -31 91 18 17 95
52 ULS Comb 52 120 47 42 -31 91 18 17 95
53 ULS Comb 53 120 47 42 -31 91 18 17 95
54 ULS Comb 54 120 47 42 -31 91 18 17 95
55 ULS Comb 55 95 34 30 -30 71 11 10 74
56 ULS Comb 56 95 34 30 -30 71 11 10 74
57 ULS Comb 57 95 34 30 -30 71 11 10 74
58 ULS Comb 58 95 34 30 -30 71 11 10 74
59 ULS Comb 59 95 34 30 -30 71 11 10 74
60 ULS Comb 60 95 34 30 -30 71 11 10 74
61 ULS Comb 61 126 50 42 -33 95 20 17 100
62 ULS Comb 62 126 50 42 -33 95 20 17 100
63 ULS Comb 63 126 50 42 -33 95 20 17 100
64 ULS Comb 64 126 50 42 -33 95 20 17 100
65 ULS Comb 65 126 50 42 -33 95 20 17 100
66 ULS Comb 66 101 38 30 -32 75 13 9 79
67 ULS Comb 67 101 38 30 -32 75 13 9 79
68 ULS Comb 68 101 38 30 -32 75 13 9 79
69 ULS Comb 69 101 38 30 -32 75 13 9 79
70 ULS Comb 70 101 38 30 -32 75 13 9 79
71 ULS Comb 71 101 38 30 -32 75 13 9 79
72 ULS Comb 72 101 38 30 -32 75 13 9 79
73 ULS Comb 73 125 77 14 -34 84 36 -3 109
74 ULS Comb 74 125 77 13 -35 84 36 -4 109
75 ULS Comb 75 124 77 13 -35 84 36 -3 108
76 ULS Comb 76 126 78 13 -35 85 37 -3 109
77 ULS Comb 77 125 77 14 -34 84 36 -3 109
78 ULS Comb 78 99 65 1 -33 64 29 -11 87
79 ULS Comb 79 104 65 2 -38 67 27 -12 90
80 ULS Comb 80 104 65 1 -39 67 27 -13 91
81 ULS Comb 81 104 65 1 -38 66 27 -12 90
82 ULS Comb 82 105 65 2 -38 67 28 -12 91
83 ULS Comb 83 104 65 2 -38 67 27 -12 90
84 ULS Comb 84 103 64 1 -37 66 27 -12 90
85 ULS Comb 85 124 33 58 -33 100 9 27 93

___________________________________________________________________________________________________________________
189
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
86 ULS Comb 86 124 34 57 -34 100 9 26 93
87 ULS Comb 87 123 33 57 -33 99 9 27 93
88 ULS Comb 88 125 34 58 -33 100 10 27 94
89 ULS Comb 89 123 33 57 -33 99 9 27 92
90 ULS Comb 90 124 33 58 -33 100 9 27 93
91 ULS Comb 91 103 21 46 -36 82 0 18 75
92 ULS Comb 92 103 21 45 -37 82 0 17 75
93 ULS Comb 93 102 21 46 -36 82 0 18 75
94 ULS Comb 94 104 21 46 -36 83 0 18 76
95 ULS Comb 95 102 21 46 -36 82 0 18 74
96 ULS Comb 96 103 21 46 -36 82 0 18 75
97 ULS Comb 97 102 59 22 -21 73 30 7 87
98 ULS Comb 98 102 59 21 -22 73 29 6 87
99 ULS Comb 99 101 59 21 -22 72 29 6 87
100 ULS Comb 100 101 58 21 -21 72 29 7 87
101 ULS Comb 101 101 58 21 -21 72 29 7 87
102 ULS Comb 102 76 46 9 -21 52 22 -1 66
103 ULS Comb 103 82 38 40 -5 67 22 25 67
104 ULS Comb 104 83 38 39 -6 67 22 24 67
105 ULS Comb 105 82 38 39 -5 66 22 24 67
106 ULS Comb 106 82 37 40 -5 66 22 25 67
107 ULS Comb 107 82 37 40 -5 66 22 25 67
108 ULS Comb 108 82 37 40 -5 66 22 25 67
109 ULS Comb 109 80 42 25 -13 60 22 12 67
110 ULS Comb 110 80 43 24 -14 60 22 11 67
111 ULS Comb 111 79 42 24 -13 59 22 12 67
112 ULS Comb 112 80 43 25 -13 60 22 12 68
113 ULS Comb 113 79 41 26 -12 60 22 13 66
114 ULS Comb 114 80 42 25 -13 60 22 12 67

FOUNDATION PARAMTERS FOR REDISTRIBUTION OF STRESES IN COMPRESSION ONLY ZONE


I/y Long. I/y Trans. I/y Long. I/y Trans
Adopted Adopted I/y Long. I/y Trans Min. P After
Load Combination For P1 to For P1 to For P5 & For P5 &
S.No. Width Length For P7 & P8 For P7 & P8 Red.
P4 P4 P6 P6
Units m m m3 m3 m3 m3 m3 m3 t/m2
1 ULS Comb 1 16.5 14.16 551 643 1735 643 551 2019 3
2 ULS Comb 2 16.0 13.48 485 575 1452 575 485 1753 2
3 ULS Comb 3 16.0 13.27 470 566 1385 566 470 1725 14
4 ULS Comb 4 16.0 13.27 470 566 1384 566 470 1725 15
5 ULS Comb 5 16.0 13.31 472 568 1397 568 472 1731 15
6 ULS Comb 6 16.5 13.91 532 631 1645 631 532 1984 5
7 ULS Comb 7 16.0 14.20 538 606 1697 606 538 1846 1
8 ULS Comb 8 14.8 13.60 457 498 1382 498 457 1407 1
9 ULS Comb 9 16.0 13.74 504 586 1538 586 504 1787 1
10 ULS Comb 10 16.0 13.80 508 589 1558 589 508 1795 1
11 ULS Comb 11 16.0 13.81 509 589 1561 589 509 1796 2
12 ULS Comb 12 16.0 14.20 538 606 1697 606 538 1846 1
13 ULS Comb 13 16.3 14.32 555 630 1766 630 555 1950 1
14 ULS Comb 14 16.3 13.48 492 593 1475 593 492 1837 1
15 ULS Comb 15 16.5 13.95 535 633 1660 633 535 1990 0
16 ULS Comb 16 16.0 13.71 501 585 1527 585 501 1783 8
17 ULS Comb 17 16.0 13.94 518 595 1606 595 518 1813 11
18 ULS Comb 18 15.5 14.04 509 562 1588 562 509 1660 17
19 ULS Comb 19 16.0 13.57 491 579 1480 579 491 1764 4
20 ULS Comb 20 15.5 13.10 443 525 1291 525 443 1549 0
21 ULS Comb 21 15.5 13.90 499 557 1543 557 499 1644 1
22 ULS Comb 22 15.8 13.69 492 566 1495 566 492 1697 2
23 ULS Comb 23 16.5 13.74 519 624 1586 624 519 1960 2
24 ULS Comb 24 16.3 14.37 559 632 1786 632 559 1958 1
25 ULS Comb 25 14.2 13.79 451 465 1382 465 451 1259 21
26 ULS Comb 26 14.5 13.87 465 486 1433 486 465 1344 1

___________________________________________________________________________________________________________________
190
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
27 ULS Comb 27 14.2 13.65 441 459 1339 459 441 1243 17
28 ULS Comb 28 14.6 14.18 490 505 1545 505 490 1406 8
29 ULS Comb 29 15.5 14.44 539 578 1730 578 539 1707 10
30 ULS Comb 30 14.2 13.79 451 465 1381 465 451 1259 20
31 ULS Comb 31 14.5 13.55 442 472 1331 472 442 1298 7
32 ULS Comb 32 14.3 12.70 385 434 1087 434 385 1184 0
33 ULS Comb 33 14.2 13.84 452 464 1391 464 452 1252 2
34 ULS Comb 34 14.5 13.91 467 486 1443 486 467 1340 1
35 ULS Comb 35 16.5 13.74 519 624 1586 624 519 1960 2
36 ULS Comb 36 14.5 13.54 441 471 1328 471 441 1297 7
37 ULS Comb 37 14.4 14.12 478 486 1499 486 478 1329 3
38 ULS Comb 38 14.3 13.29 421 452 1243 452 421 1231 2
39 ULS Comb 39 14.3 14.01 469 481 1461 481 469 1314 1
40 ULS Comb 40 14.4 14.03 472 484 1470 484 472 1326 2
41 ULS Comb 41 16.0 13.94 518 595 1606 595 518 1813 11
42 ULS Comb 42 14.4 14.12 478 486 1499 486 478 1329 3
43 ULS Comb 43 13.9 13.15 401 424 1171 424 401 1121 4
44 ULS Comb 44 13.8 11.94 327 378 869 378 327 991 5
45 ULS Comb 45 13.9 13.08 395 419 1149 419 395 1107 1
46 ULS Comb 46 13.9 12.86 385 417 1099 417 385 1107 5
47 ULS Comb 47 16.5 12.73 445 577 1260 577 445 1815 12
48 ULS Comb 48 13.9 12.88 385 415 1101 415 385 1099 7
49 ULS Comb 49 14.2 14.11 472 477 1481 477 472 1293 1
50 ULS Comb 50 14.2 14.11 472 477 1481 477 472 1293 1
51 ULS Comb 51 14.2 14.11 472 477 1481 477 472 1293 1
52 ULS Comb 52 14.2 14.11 472 477 1481 477 472 1293 1
53 ULS Comb 53 14.2 14.11 472 477 1481 477 472 1293 1
54 ULS Comb 54 14.2 14.11 472 477 1481 477 472 1293 1
55 ULS Comb 55 13.4 13.22 391 397 1149 397 391 1017 2
56 ULS Comb 56 13.4 13.22 391 397 1149 397 391 1017 2
57 ULS Comb 57 13.4 13.22 391 397 1149 397 391 1017 2
58 ULS Comb 58 13.4 13.22 391 397 1149 397 391 1017 2
59 ULS Comb 59 13.4 13.22 391 397 1149 397 391 1017 2
60 ULS Comb 60 13.4 13.22 391 397 1149 397 391 1017 2
61 ULS Comb 61 14.3 13.78 451 467 1383 467 451 1269 3
62 ULS Comb 62 14.3 13.78 451 467 1383 467 451 1269 3
63 ULS Comb 63 14.3 13.78 451 467 1383 467 451 1269 3
64 ULS Comb 64 14.3 13.78 451 467 1383 467 451 1269 3
65 ULS Comb 65 14.3 13.78 451 467 1383 467 451 1269 3
66 ULS Comb 66 13.5 13.11 386 397 1126 397 386 1021 2
67 ULS Comb 67 13.5 13.11 386 397 1126 397 386 1021 2
68 ULS Comb 68 13.5 13.11 386 397 1126 397 386 1021 2
69 ULS Comb 69 13.5 13.11 386 397 1126 397 386 1021 2
70 ULS Comb 70 13.5 13.11 386 397 1126 397 386 1021 2
71 ULS Comb 71 13.5 13.11 386 397 1126 397 386 1021 2
72 ULS Comb 72 13.0 13.11 372 368 1084 368 372 911 7
73 ULS Comb 73 15.3 12.44 393 482 1087 482 393 1400 1
74 ULS Comb 74 15.5 11.86 363 475 957 475 363 1402 4
75 ULS Comb 75 15.3 12.40 391 481 1078 481 391 1397 1
76 ULS Comb 76 15.3 12.42 392 481 1083 481 392 1399 1
77 ULS Comb 77 15.3 12.44 393 482 1087 482 393 1400 1
78 ULS Comb 78 15.5 10.30 274 412 628 412 274 1218 3
79 ULS Comb 79 15.8 9.65 244 399 524 399 244 1197 1
80 ULS Comb 80 14.5 10.00 242 351 537 351 242 968 5
81 ULS Comb 81 15.0 10.08 254 378 569 378 254 1080 1
82 ULS Comb 82 15.0 10.13 257 380 578 380 257 1086 1
83 ULS Comb 83 15.0 10.15 257 381 581 381 257 1087 1
84 ULS Comb 84 15.0 10.11 256 379 575 379 256 1084 1
85 ULS Comb 85 12.5 13.61 387 357 1172 357 387 852 29
86 ULS Comb 86 12.5 13.53 382 353 1148 353 382 841 28
87 ULS Comb 87 12.5 13.59 385 355 1164 355 385 848 29
88 ULS Comb 88 12.5 13.58 386 356 1165 356 386 852 29

___________________________________________________________________________________________________________________
191
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
89 ULS Comb 89 12.5 13.61 387 356 1170 356 387 850 29
90 ULS Comb 90 12.5 13.61 387 357 1172 357 387 852 29
91 ULS Comb 91 11.5 14.00 376 309 1169 309 376 676 5
92 ULS Comb 92 11.9 13.50 362 320 1086 320 362 726 2
93 ULS Comb 93 12.4 13.25 364 342 1072 342 364 810 1
94 ULS Comb 94 12.5 13.25 365 344 1075 344 365 817 1
95 ULS Comb 95 12.4 13.25 364 342 1072 342 364 811 1
96 ULS Comb 96 12.5 13.25 365 343 1073 343 365 813 2
97 ULS Comb 97 15.5 13.25 454 531 1335 531 454 1566 6
98 ULS Comb 98 15.5 13.25 454 531 1335 531 454 1566 4
99 ULS Comb 99 15.5 13.25 454 531 1335 531 454 1566 6
100 ULS Comb 100 15.5 13.25 454 531 1335 531 454 1566 6
101 ULS Comb 101 15.5 13.25 454 531 1335 531 454 1566 6
102 ULS Comb 102 14.0 13.25 410 433 1206 433 410 1154 6
103 ULS Comb 103 16.5 15.50 661 703 2276 703 661 2210 2
104 ULS Comb 104 15.5 16.50 703 661 2579 661 703 1951 0
105 ULS Comb 105 16.5 15.50 661 703 2276 703 661 2210 1
106 ULS Comb 106 16.5 15.50 661 703 2276 703 661 2210 2
107 ULS Comb 107 16.5 15.50 661 703 2276 703 661 2210 2
108 ULS Comb 108 16.5 15.50 661 703 2276 703 661 2210 2
109 ULS Comb 109 16.5 13.75 520 624 1587 624 520 1960 2
110 ULS Comb 110 15.5 14.17 518 567 1632 567 518 1675 4
111 ULS Comb 111 16.5 13.72 518 622 1578 622 518 1956 2
112 ULS Comb 112 16.5 13.72 518 623 1578 623 518 1956 2
113 ULS Comb 113 15.5 13.83 494 554 1517 554 494 1635 10
114 ULS Comb 114 16.5 13.75 520 624 1587 624 520 1960 2

ULS PRESSURE AT BASE OF OPEN FOUNDATION WITH REDISTRIBUTION


Load Combination P1 P2 P3 P4 P5 P6 P7 P8
S.No. 2 2 2 2 2 2
Units t/m t/m t/m t/m t/m t/m t/m2 t/m2
1 ULS Comb 1 108 46 65 3 93 31 43 86
2 ULS Comb 2 112 53 61 2 95 36 41 92
3 ULS Comb 3 102 46 70 14 91 35 51 83
4 ULS Comb 4 111 50 76 15 100 39 56 91
5 ULS Comb 5 104 47 72 15 94 37 53 85
6 ULS Comb 6 107 44 68 5 94 31 47 85
7 ULS Comb 7 84 42 43 1 70 28 29 70
8 ULS Comb 8 88 58 31 1 69 39 21 78
9 ULS Comb 9 81 41 41 1 68 27 27 68
10 ULS Comb 10 88 44 45 1 73 30 31 73
11 ULS Comb 11 84 42 43 2 70 29 29 70
12 ULS Comb 12 84 42 43 1 70 28 29 70
13 ULS Comb 13 108 51 58 1 91 34 39 89
14 ULS Comb 14 111 51 61 1 95 34 41 91
15 ULS Comb 15 106 47 59 0 90 31 39 86
16 ULS Comb 16 112 55 65 8 96 39 46 93
17 ULS Comb 17 104 49 66 11 91 36 47 86
18 ULS Comb 18 101 54 64 17 88 41 48 85
19 ULS Comb 19 83 41 46 4 71 28 32 69
20 ULS Comb 20 88 49 39 0 72 33 27 75
21 ULS Comb 21 82 48 35 1 66 32 24 71
22 ULS Comb 22 89 48 43 2 74 33 29 76
23 ULS Comb 23 82 34 49 2 71 24 33 65
24 ULS Comb 24 80 37 44 1 68 25 30 66
25 ULS Comb 25 113 70 63 21 96 53 50 99
26 ULS Comb 26 123 72 52 1 99 48 36 107
27 ULS Comb 27 111 70 59 17 94 52 46 98
28 ULS Comb 28 121 71 58 8 99 49 42 105
29 ULS Comb 29 104 59 55 10 87 42 40 89
30 ULS Comb 30 112 69 63 20 95 53 49 98
31 ULS Comb 31 93 50 50 7 78 36 36 79

___________________________________________________________________________________________________________________
192
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
32 ULS Comb 32 101 55 46 0 83 37 32 86
33 ULS Comb 33 92 56 38 2 74 38 26 80
34 ULS Comb 34 99 57 43 1 80 38 30 85
35 ULS Comb 35 82 34 49 2 71 24 33 65
36 ULS Comb 36 92 50 49 7 77 35 35 78
37 ULS Comb 37 125 68 60 3 103 46 42 107
38 ULS Comb 38 130 68 64 2 108 47 45 110
39 ULS Comb 39 124 68 57 1 101 45 39 106
40 ULS Comb 40 131 72 61 2 107 49 42 113
41 ULS Comb 41 104 49 66 11 91 36 47 86
42 ULS Comb 42 125 68 60 3 103 46 42 107
43 ULS Comb 43 102 53 53 4 86 37 38 87
44 ULS Comb 44 108 53 59 5 93 38 42 91
45 ULS Comb 45 102 54 48 1 84 36 33 87
46 ULS Comb 46 108 57 56 5 91 40 40 92
47 ULS Comb 47 79 28 63 12 74 23 45 61
48 ULS Comb 48 101 51 57 7 87 37 42 86
49 ULS Comb 49 119 62 58 1 99 41 40 101
50 ULS Comb 50 119 62 58 1 99 41 40 101
51 ULS Comb 51 119 62 58 1 99 41 40 101
52 ULS Comb 52 119 62 58 1 99 41 40 101
53 ULS Comb 53 119 62 58 1 99 41 40 101
54 ULS Comb 54 119 62 58 1 99 41 40 101
55 ULS Comb 55 97 52 48 2 81 35 34 83
56 ULS Comb 56 97 52 48 2 81 35 34 83
57 ULS Comb 57 97 52 48 2 81 35 34 83
58 ULS Comb 58 97 52 48 2 81 35 34 83
59 ULS Comb 59 97 52 48 2 81 35 34 83
60 ULS Comb 60 97 52 48 2 81 35 34 83
61 ULS Comb 61 125 65 63 3 105 44 44 106
62 ULS Comb 62 125 65 63 3 105 44 44 106
63 ULS Comb 63 125 65 63 3 105 44 44 106
64 ULS Comb 64 125 65 63 3 105 44 44 106
65 ULS Comb 65 125 65 63 3 105 44 44 106
66 ULS Comb 66 104 56 49 2 86 39 35 89
67 ULS Comb 67 104 56 49 2 86 39 35 89
68 ULS Comb 68 104 56 49 2 86 39 35 89
69 ULS Comb 69 104 56 49 2 86 39 35 89
70 ULS Comb 70 104 56 49 2 86 39 35 89
71 ULS Comb 71 104 56 49 2 86 39 35 89
72 ULS Comb 72 102 64 46 7 84 45 34 91
73 ULS Comb 73 129 86 44 1 102 59 30 115
74 ULS Comb 74 130 80 53 4 106 56 37 113
75 ULS Comb 75 129 86 43 1 101 59 29 115
76 ULS Comb 76 130 87 44 1 102 60 30 116
77 ULS Comb 77 129 86 44 1 102 59 30 115
78 ULS Comb 78 109 68 44 3 91 50 30 96
79 ULS Comb 79 118 61 58 1 102 45 39 99
80 ULS Comb 80 118 85 38 5 96 63 28 108
81 ULS Comb 81 118 76 42 1 97 55 29 104
82 ULS Comb 82 119 76 43 1 98 55 30 105
83 ULS Comb 83 117 75 43 1 97 55 30 104
84 ULS Comb 84 117 76 42 1 96 55 29 103
85 ULS Comb 85 116 64 81 29 105 52 66 101
86 ULS Comb 86 117 64 81 28 105 52 66 102
87 ULS Comb 87 116 64 81 29 104 52 66 101
88 ULS Comb 88 117 65 81 29 105 53 66 102
89 ULS Comb 89 116 64 81 29 104 52 66 101
90 ULS Comb 90 116 64 81 29 105 52 66 101
91 ULS Comb 91 108 57 56 5 91 39 42 94
92 ULS Comb 92 110 47 65 2 95 32 47 92
93 ULS Comb 93 109 37 72 1 97 25 52 88

___________________________________________________________________________________________________________________
193
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
94 ULS Comb 94 110 38 73 1 98 26 52 89
95 ULS Comb 95 108 37 73 1 96 25 52 87
96 ULS Comb 96 109 37 73 2 97 25 53 88
97 ULS Comb 97 100 60 46 6 82 42 33 87
98 ULS Comb 98 101 61 45 4 83 42 31 88
99 ULS Comb 99 100 60 45 6 82 42 32 87
100 ULS Comb 100 100 60 46 6 82 42 33 87
101 ULS Comb 101 100 60 46 6 82 42 33 87
102 ULS Comb 102 76 68 14 6 55 47 11 73
103 ULS Comb 103 81 34 49 2 70 22 33 65
104 ULS Comb 104 82 47 35 0 65 30 24 70
105 ULS Comb 105 81 34 48 1 69 22 32 65
106 ULS Comb 106 80 33 49 2 69 22 33 64
107 ULS Comb 107 80 33 49 2 69 22 33 64
108 ULS Comb 108 80 33 49 2 69 22 33 64
109 ULS Comb 109 78 33 47 2 68 23 32 63
110 ULS Comb 110 78 45 38 4 64 31 26 67
111 ULS Comb 111 78 33 47 2 67 23 31 62
112 ULS Comb 112 79 34 47 2 68 23 32 64
113 ULS Comb 113 75 41 44 10 65 31 33 64
114 ULS Comb 114 78 33 47 2 68 23 32 63

15.14 ULS DESIGN FORCES FOR DESIGN OF OPEN FOUNDATION


ULS FORCES FOR DESIGN OF OPEN FOUNDATION
Shear Shear Long Lever Trans Long. Trans. Trans
Load Combination Long. Shear*
S.No. Long. Trans. Arm Lever Arm Moment Moment Shear*
Units tm tm m m tm tm tm tm
1 ULS Comb 1 6857 7006 3.11 2.94 18085 17798 5786 6002
2 ULS Comb 2 7323 7084 3.12 2.93 19601 17954 6253 6080
3 ULS Comb 3 6790 7082 3.08 2.93 17683 17908 5719 6078
4 ULS Comb 4 7421 7743 3.08 2.93 19628 19845 6351 6739
5 ULS Comb 5 6986 7316 3.08 2.93 18271 18591 5915 6313
6 ULS Comb 6 6814 7132 3.09 2.94 17874 18169 5743 6128
7 ULS Comb 7 5515 5204 3.13 2.93 14027 12426 4444 4201
8 ULS Comb 8 6293 5089 3.15 2.90 16613 11916 5223 4086
9 ULS Comb 9 5369 5031 3.12 2.93 13565 11914 4298 4027
10 ULS Comb 10 5824 5493 3.12 2.93 14972 13265 4753 4489
11 ULS Comb 11 5569 5253 3.12 2.93 14175 12559 4499 4249
12 ULS Comb 12 5515 5204 3.13 2.93 14027 12426 4444 4201
13 ULS Comb 13 7035 6816 3.12 2.94 18742 17186 5964 5813
14 ULS Comb 14 7192 7050 3.12 2.94 19192 17899 6121 6047
15 ULS Comb 15 6797 6745 3.12 2.94 17966 17025 5727 5741
16 ULS Comb 16 7465 7323 3.10 2.93 19965 18612 6395 6319
17 ULS Comb 17 6931 7012 3.09 2.93 18226 17701 5861 6008
18 ULS Comb 18 7017 6921 3.09 2.91 18458 17321 5947 5917
19 ULS Comb 19 5517 5342 3.11 2.93 13953 12824 4447 4338
20 ULS Comb 20 5982 5307 3.13 2.92 15521 12665 4911 4304
21 ULS Comb 21 5642 4911 3.14 2.91 14495 11476 4572 3907
22 ULS Comb 22 6040 5501 3.13 2.92 15676 13243 4969 4498
23 ULS Comb 23 5204 5333 3.10 2.94 12935 12876 4133 4329
24 ULS Comb 24 5203 5102 3.12 2.94 13012 12165 4132 4099
25 ULS Comb 25 8216 7540 3.10 2.89 22259 18971 7145 6537
26 ULS Comb 26 8449 7366 3.14 2.91 23316 18605 7379 6363
27 ULS Comb 27 8081 7282 3.11 2.89 21897 18227 7010 6278
28 ULS Comb 28 8427 7541 3.13 2.90 23134 19080 7356 6537
29 ULS Comb 29 7239 6712 3.11 2.91 19336 16710 6168 5709
30 ULS Comb 30 8138 7461 3.10 2.89 22023 18742 7068 6458
31 ULS Comb 31 6365 5978 3.11 2.91 16596 14579 5294 4974
32 ULS Comb 32 6832 6149 3.13 2.92 18160 15109 5762 5146
33 ULS Comb 33 6400 5486 3.14 2.90 16890 13100 5329 4482
34 ULS Comb 34 6770 5955 3.14 2.91 18034 14504 5700 4951
35 ULS Comb 35 5204 5333 3.10 2.94 12935 12876 4133 4329

___________________________________________________________________________________________________________________
194
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
36 ULS Comb 36 6291 5898 3.11 2.91 16370 14346 5221 4895
37 ULS Comb 37 8466 7770 3.13 2.91 23280 19820 7396 6766
38 ULS Comb 38 8731 8091 3.12 2.92 24061 20781 7661 7088
39 ULS Comb 39 8365 7580 3.13 2.91 23005 19271 7295 6576
40 ULS Comb 40 8895 8036 3.13 2.91 24657 20589 7824 7032
41 ULS Comb 41 6931 7012 3.09 2.93 18226 17701 5861 6008
42 ULS Comb 42 8466 7770 3.13 2.91 23280 19820 7396 6766
43 ULS Comb 43 6892 6503 3.12 2.91 18259 16130 5822 5500
44 ULS Comb 44 7251 6991 3.10 2.92 19297 17579 6181 5988
45 ULS Comb 45 6841 6271 3.13 2.92 18182 15459 5771 5267
46 ULS Comb 46 7327 6875 3.11 2.91 19601 17204 6257 5872
47 ULS Comb 47 5009 5758 3.05 2.94 12067 14129 3938 4755
48 ULS Comb 48 6852 6639 3.10 2.91 18055 16524 5782 5635
49 ULS Comb 49 7959 7406 3.13 2.92 21700 18792 6889 6402
50 ULS Comb 50 7959 7406 3.13 2.92 21700 18792 6889 6402
51 ULS Comb 51 7959 7406 3.13 2.92 21700 18792 6889 6402
52 ULS Comb 52 7959 7406 3.13 2.92 21700 18792 6889 6402
53 ULS Comb 53 7959 7406 3.13 2.92 21700 18792 6889 6402
54 ULS Comb 54 7959 7406 3.13 2.92 21700 18792 6889 6402
55 ULS Comb 55 6545 6065 3.12 2.91 17228 14835 5474 5061
56 ULS Comb 56 6545 6065 3.12 2.91 17228 14835 5474 5061
57 ULS Comb 57 6545 6065 3.12 2.91 17228 14835 5474 5061
58 ULS Comb 58 6545 6065 3.12 2.91 17228 14835 5474 5061
59 ULS Comb 59 6545 6065 3.12 2.91 17228 14835 5474 5061
60 ULS Comb 60 6545 6065 3.12 2.91 17228 14835 5474 5061
61 ULS Comb 61 8395 7876 3.12 2.92 23009 20160 7324 6872
62 ULS Comb 62 8395 7876 3.12 2.92 23009 20160 7324 6872
63 ULS Comb 63 8395 7876 3.12 2.92 23009 20160 7324 6872
64 ULS Comb 64 8395 7876 3.12 2.92 23009 20160 7324 6872
65 ULS Comb 65 8395 7876 3.12 2.92 23009 20160 7324 6872
66 ULS Comb 66 7033 6416 3.13 2.91 18774 15849 5963 5412
67 ULS Comb 67 7033 6416 3.13 2.91 18774 15849 5963 5412
68 ULS Comb 68 7033 6416 3.13 2.91 18774 15849 5963 5412
69 ULS Comb 69 7033 6416 3.13 2.91 18774 15849 5963 5412
70 ULS Comb 70 7033 6416 3.13 2.91 18774 15849 5963 5412
71 ULS Comb 71 7033 6416 3.13 2.91 18774 15849 5963 5412
72 ULS Comb 72 7304 6329 3.13 2.89 19620 15473 6233 5326
73 ULS Comb 73 9289 7352 3.14 2.89 25994 18461 8218 6349
74 ULS Comb 74 9191 7726 3.13 2.91 25532 19622 8121 6722
75 ULS Comb 75 9285 7321 3.15 2.89 25991 18370 8215 6317
76 ULS Comb 76 9370 7403 3.14 2.89 26254 18610 8299 6400
77 ULS Comb 77 9289 7352 3.14 2.89 25994 18461 8218 6349
78 ULS Comb 78 7879 6481 3.12 2.90 21340 15998 6809 5478
79 ULS Comb 79 8050 7275 3.10 2.93 21728 18464 6980 6272
80 ULS Comb 80 8985 6771 3.12 2.88 24834 16679 7914 5767
81 ULS Comb 81 8556 6800 3.12 2.90 23489 16892 7485 5796
82 ULS Comb 82 8618 6878 3.12 2.90 23677 17119 7547 5875
83 ULS Comb 83 8524 6816 3.12 2.90 23382 16940 7453 5813
84 ULS Comb 84 8504 6774 3.12 2.90 23325 16814 7434 5770
85 ULS Comb 85 8341 8458 3.07 2.89 22392 21625 7271 7454
86 ULS Comb 86 8396 8487 3.07 2.89 22577 21714 7326 7484
87 ULS Comb 87 8322 8431 3.07 2.89 22340 21551 7252 7428
88 ULS Comb 88 8416 8511 3.07 2.89 22627 21778 7345 7508
89 ULS Comb 89 8296 8414 3.07 2.89 22254 21498 7225 7410
90 ULS Comb 90 8341 8458 3.07 2.89 22392 21625 7271 7454
91 ULS Comb 91 7307 6981 3.12 2.90 19586 17416 6236 5977
92 ULS Comb 92 7044 7297 3.11 2.92 18667 18462 5974 6293
93 ULS Comb 93 6621 7439 3.09 2.93 17243 18999 5550 6436
94 ULS Comb 94 6710 7512 3.09 2.93 17516 19208 5639 6509
95 ULS Comb 95 6585 7434 3.09 2.93 17117 18983 5514 6431
96 ULS Comb 96 6625 7480 3.09 2.93 17236 19116 5554 6477
97 ULS Comb 97 7058 6187 3.12 2.91 18846 15155 5988 5183

___________________________________________________________________________________________________________________
195
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
98 ULS Comb 98 7117 6156 3.13 2.91 19070 15070 6047 5152
99 ULS Comb 99 7048 6139 3.13 2.91 18829 15016 5978 5135
100 ULS Comb 100 7021 6136 3.13 2.91 18734 15007 5951 5133
101 ULS Comb 101 7021 6136 3.13 2.91 18734 15007 5951 5133
102 ULS Comb 102 6098 4033 3.17 2.84 16099 8627 5028 3030
103 ULS Comb 103 5111 5283 3.11 2.95 12685 12740 4041 4280
104 ULS Comb 104 5527 4879 3.15 2.91 14208 11399 4456 3876
105 ULS Comb 105 5090 5242 3.11 2.95 12627 12619 4020 4239
106 ULS Comb 106 5073 5241 3.11 2.95 12565 12613 4002 4237
107 ULS Comb 107 5073 5241 3.11 2.95 12565 12613 4002 4237
108 ULS Comb 108 5073 5241 3.11 2.95 12565 12613 4002 4237
109 ULS Comb 109 4983 5099 3.10 2.94 12250 12186 3913 4096
110 ULS Comb 110 5393 4855 3.13 2.91 13654 11313 4323 3851
111 ULS Comb 111 4967 5063 3.10 2.94 12207 12079 3897 4060
112 ULS Comb 112 5050 5148 3.10 2.94 12464 12330 3980 4145
113 ULS Comb 113 5232 5017 3.10 2.91 13001 11780 4162 4013
114 ULS Comb 114 4983 5099 3.10 2.94 12250 12186 3913 4096
9370 8511 26254 21778
*Net Shear Forces are obtained after Reduction in Moment due to Weight of Foundation.
Moments are obtained after reduction of Bending Moment due to weight of Foundation.

15.15 ULS FLEXURE DESIGN OF OPEN FOUNDATION


SUMMARY OF FORCES
DESIGN FORCES
Moments
Long. Trans.
Combinations
Section Section
tm tm
ULS 26254 21778

The ULS check for flexure is done as per IRC 112.


The following formulations are used.

DEPTH OF NEUTRAL AXIS (ULTIMATE LIMIT STATE) AND STRAIN/STRESS DIAGRAM

Compression Force = .36 x Fck x Width x Depth of Neutral Axis


Tension Force = .87 x Fy x Ast
where
Fck = Characteristic Compressive Strength of Concrete
Fy = Yield Strength of Reinforcement
x (Depth of NA) = .87 x Fy x Ast / ( .36 x Fck x b )
where,
Fy = Yield Strength of Reinforcement
Ast = Area of Tension Steel
Fck = Compressive strength of Concrete
b = Width of Section

___________________________________________________________________________________________________________________
196
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri

Moment of Resistance is calculated as Tension Force x Level Arm.

ULS FLEXURE CHECK FOR MAXIMUM MOMENT CAUSING TENSION AT BOTTOM & SHEAR CHECKS
Trans.
DESIGN CHECK OF OPEN FOUNDATION Units
Long. Section Section
ULS Moment 26254 21778 tm
ULS Shear 8218 7088 t
SLS Moment (Stress Check) 11270 7755 tm
SLS Moment (Crack Width) 9395 5885 tm
Width 16500 16500 mm
Depth 4000 4000 mm
Concrete Grade 45 45 N/mm2
Reinforcement Grade 500 500 N/mm2
Clear Cover 75 75 mm
Bottomost Reinforcement Diameter (in other direction) 0 32
Stirrup Dia 16 16 mm
Provided Reinforcement Layer 1
Bar Dia 32 32 mm
Number of Bars 108 108
Spacing 152 152 mm
Provided Reinforcement Layer 2
Bar Dia 32 32 mm
Number of Bars 108 108
Spacing 152 152 mm
Provided Reinforcement Layer 3
Bar Dia 25 25 mm
Number of Bars 108 108
Spacing 152 152 mm
Provided Reinforcement Layer 4
Bar Dia mm
Number of Bars
Spacing 0 0 mm
Total Ast Provided 226617 226617 mm2
Total Ast Required For Flexure 159513 133470 mm2
Effective Cover 133 165 mm

ULS FLEXURE CHECK


Tension Force 9.86E+07 9.86E+07 N
Depth of Neutral Axis 369 369 mm
ULS Moment 26254 21778 tm
Moment of Resistance 37298 36976 tm
Check OK OK

___________________________________________________________________________________________________________________
197
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.16 ULS SHEAR DESIGN OF OPEN FOUNDATION
ULS SHEAR FORCES
Shear
Long. Trans.
Combinations
Section Section
t t
ULS 8218 7088
ULS SHEAR CHECK
The ULS Shear check is done as per Chapter 10 of IRC 112.
The Shear Check has two components:
1. Section Adequacy: In this check, the adequacy of section is checked for compression failure.
2. Shear Reinforcement: In this check, it is established whether the section needs design shear reinforcement
or the provided longitudinal reinforcement is enough to cater to the Design Shear Force.
If shear reinforcement is required, the same is calculated.

The ULS Shear check is done for the Maximum Shear Force obtained. The formulations of cl. 10.3.2 of
IRC 112 are used.
As per IRC 112 cl. 10.3.2, the shear capacity of shear not requiring design shear reinforcement is
VRd,c = (.12K(80ρlfck).33 + .15 σcp) bwd subject to min. of (vmin + .15 σcp)bwd
Fck = Concrete Compressive Strength
bw = Section Width for Design
D = Total Depth of Section
d = Effective Depth of Section
VEd = ULS Shear Force
Check for Section Adequacy
The section adequacy check is done as per the cl. 10.3.2 of IRC 112.

Trans.
DESIGN CHECK OF OPEN FOUNDATION Units
Long. Section Section
ULS Shear Force 8218 7088 t
Applied Shear Stress 1.26 1.10 N/mm2
%Ast 0.355 0.358 %
Fck 45 45 N/mm2
As 226617 226617 mm2
bw 16500 16500 mm
d 3867 3835 mm
z Lever Arm 3480 3451 mm
K 1.224 1.224
VRd,c (With Flexure Reinf. Only) 2291 2297 t
Applied Shear Force 8218 7088 t
Shear Reinforcement Required Yes Yes
Vrd,max 30058 29810 t
Section Revision Required No No
Calclation of Minimum Shear Angle
αcw 1 1
v1 0.51 0.51
θcomputed 7.94 6.88 Deg
θmin 21.80 21.80 Deg
θadopted 45 45 Deg
Spacing 250 250 mm
Ast Required 13304 11570 mm2

___________________________________________________________________________________________________________________
198
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.17 SLS RARE FORCES AT BOTTOM OF OPEN FOUNDATION

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS Rare Comb 1 9465 9526 898 366 82 9526 898
2 SLS Rare Comb 2 9069 12198 903 291 85 12198 903
3 SLS Rare Comb 3 9065 10435 903 335 85 10435 903
4 SLS Rare Comb 4 9826 10984 748 369 76 10984 748
5 SLS Rare Comb 5 9497 9451 772 338 78 9451 772
6 SLS Rare Comb 6 9497 8402 898 336 82 8402 898
7 SLS Rare Comb 7 9409 9371 898 361 82 9371 898
8 SLS Rare Comb 8 9012 12043 903 285 85 12043 903
9 SLS Rare Comb 9 9008 10279 903 330 85 10279 903
10 SLS Rare Comb 10 9769 10828 748 364 76 10828 748
11 SLS Rare Comb 11 9441 9295 772 332 78 9295 772
12 SLS Rare Comb 12 9409 9371 898 361 82 9371 898
13 SLS Rare Comb 13 9347 9951 113 333 5 9951 113
14 SLS Rare Comb 14 9050 11955 117 276 7 11955 117
15 SLS Rare Comb 15 9047 10632 117 310 7 10632 117
16 SLS Rare Comb 16 9617 11044 0 335 0 11044 0
17 SLS Rare Comb 17 9400 8864 18 284 1 8864 18
18 SLS Rare Comb 18 9055 9918 0 269 0 9918 0
19 SLS Rare Comb 19 9291 9795 113 327 5 9795 113
20 SLS Rare Comb 20 8993 11800 117 271 7 11800 117
21 SLS Rare Comb 21 8990 10477 117 304 7 10477 117
22 SLS Rare Comb 22 9561 10889 0 330 0 10889 0
23 SLS Rare Comb 23 9343 8709 18 279 1 8709 18
24 SLS Rare Comb 24 8999 9763 0 263 0 9763 0
25 SLS Rare Comb 25 9591 10605 3998 416 158 10605 3998
26 SLS Rare Comb 26 9194 13277 4003 341 161 13277 4003
27 SLS Rare Comb 27 9190 11514 4003 385 161 11514 4003
28 SLS Rare Comb 28 9951 12063 3847 419 152 12063 3847
29 SLS Rare Comb 29 9497 9451 772 338 78 9451 772
30 SLS Rare Comb 30 9591 10605 3998 416 158 10605 3998
31 SLS Rare Comb 31 9534 10450 3998 411 158 10450 3998
32 SLS Rare Comb 32 9138 13122 4003 335 161 13122 4003
33 SLS Rare Comb 33 9134 11359 4003 380 161 11359 4003
34 SLS Rare Comb 34 9895 11908 3847 413 152 11908 3847
35 SLS Rare Comb 35 9441 9295 772 332 78 9295 772
36 SLS Rare Comb 36 9534 10450 3998 411 158 10450 3998
37 SLS Rare Comb 37 9556 12063 6027 448 207 12063 6027
38 SLS Rare Comb 38 9259 14067 6031 391 209 14067 6031
39 SLS Rare Comb 39 9256 12745 6031 425 209 12745 6031
40 SLS Rare Comb 40 9826 13157 5914 450 202 13157 5914
41 SLS Rare Comb 41 9556 12850 5932 450 204 12850 5932
42 SLS Rare Comb 42 9556 12063 6027 448 207 12063 6027
43 SLS Rare Comb 43 9500 11908 6027 443 207 11908 6027
44 SLS Rare Comb 44 9202 13912 6031 386 209 13912 6031
45 SLS Rare Comb 45 9199 12590 6031 420 209 12590 6031
46 SLS Rare Comb 46 9770 13002 5914 445 202 13002 5914
47 SLS Rare Comb 47 9500 12695 5932 444 204 12695 5932
48 SLS Rare Comb 48 9500 11908 6027 443 207 11908 6027
49 SLS Rare Comb 49 9291 12642 6800 406 224 12642 6800
50 SLS Rare Comb 50 9291 12642 6800 406 224 12642 6800
51 SLS Rare Comb 51 9291 12642 6800 406 224 12642 6800
52 SLS Rare Comb 52 9291 12642 6800 406 224 12642 6800
53 SLS Rare Comb 53 9291 12642 6800 406 224 12642 6800
54 SLS Rare Comb 54 9291 12642 6800 406 224 12642 6800
55 SLS Rare Comb 55 9235 12487 6800 401 224 12487 6800
56 SLS Rare Comb 56 9235 12487 6800 401 224 12487 6800
57 SLS Rare Comb 57 9235 12487 6800 401 224 12487 6800

___________________________________________________________________________________________________________________
199
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
58 SLS Rare Comb 58 9235 12487 6800 401 224 12487 6800
59 SLS Rare Comb 59 9235 12487 6800 401 224 12487 6800
60 SLS Rare Comb 60 9235 12487 6800 401 224 12487 6800
Max Values 9951 14067 6800 450 224 14067 6800

___________________________________________________________________________________________________________________
200
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.18 CALCULATION OF PRESSURE AT KEY POINTS FOR SLS RARE COMBINATION
The pressure at key points P1 to P8 is obtained for the calculation of design forces.

Abutment Shaft Size


Pier EQ Length 4.50 m
Pier EQ Width 4.50 m
Depth at Design Sections 5.25 m
Location of Section Check from Foundation Center, Long. Direction 4.00 m
Location of Section Check from Foundation Center, Trans. Direction 2.25 m
I/y Long. For P1 to P4 2.63 m3
I/y Trans. For P1 to P4 748.69 m3
I/y Long. For P5 - P6 748.69 m3
I/y Trans For P5 - P6 2745.19 m3
I/y Long. For P7 - P8 748.69 m3
I/y Trans For P7 - P8 748.69 m3
Distance from Foundation Edge to Pier Face Long. Direction 2353.02 m
Distance from Foundation Edge to Pier Face Trans. Direction 6.00 m
Depth of Foundation At Edge 5.63 m
Depth of Foundation at Pier Face 2.25 m
Foundation Weight at Design Section Long Direction 4.00 t
Foundation Weight at Design Section Trans Direction 1070.44 t
Moment due to Foundation Weight at Design Section Long Direction 1003.54 tm
Moment due to Foundation Weight at Design Section Trans Direction 3211.31 tm

PRESSURE AT KEY POINTS FOR SLS RARE CASE


Load Combination P1 P2 P3 P4 P5 P6 P7 P8
S.No.
Units t/m2 t/m 2
t/m 2
t/m 2
t/m 2
t/m2 t/m2 t/m2
1 SLS Rare Comb 1 49 46 23 21 39 37 22 48
2 SLS Rare Comb 2 51 48 18 16 39 37 17 50
3 SLS Rare Comb 3 48 46 21 18 38 36 20 48
4 SLS Rare Comb 4 52 50 22 20 41 39 22 51
5 SLS Rare Comb 5 49 46 23 21 39 37 23 48
6 SLS Rare Comb 6 47 45 25 22 39 37 24 46
7 SLS Rare Comb 7 48 46 23 21 39 37 22 47
8 SLS Rare Comb 8 50 48 18 16 39 36 17 50
9 SLS Rare Comb 9 48 46 21 18 38 36 20 47
10 SLS Rare Comb 10 51 49 22 20 41 39 22 51
11 SLS Rare Comb 11 48 46 23 21 39 37 23 47
12 SLS Rare Comb 12 48 46 23 21 39 37 22 47

___________________________________________________________________________________________________________________
201
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
13 SLS Rare Comb 13 48 47 21 21 38 38 21 48
14 SLS Rare Comb 14 49 49 17 17 38 37 17 49
15 SLS Rare Comb 15 48 47 19 19 37 37 19 47
16 SLS Rare Comb 16 50 50 21 21 39 39 21 50
17 SLS Rare Comb 17 46 46 23 23 38 38 23 46
18 SLS Rare Comb 18 47 47 20 20 37 37 20 47
19 SLS Rare Comb 19 47 47 21 21 38 38 21 47
20 SLS Rare Comb 20 49 49 17 17 37 37 17 49
21 SLS Rare Comb 21 47 47 19 19 37 37 19 47
22 SLS Rare Comb 22 50 50 21 21 39 39 21 50
23 SLS Rare Comb 23 46 46 23 23 38 37 23 46
24 SLS Rare Comb 24 46 46 20 20 37 37 20 46
25 SLS Rare Comb 25 55 44 26 16 44 34 23 51
26 SLS Rare Comb 26 57 46 21 11 44 33 18 53
27 SLS Rare Comb 27 54 44 24 13 43 33 20 51
28 SLS Rare Comb 28 58 48 26 15 46 36 22 54
29 SLS Rare Comb 29 49 46 23 21 39 37 23 48
30 SLS Rare Comb 30 55 44 26 16 44 34 23 51
31 SLS Rare Comb 31 54 44 26 16 44 33 23 51
32 SLS Rare Comb 32 56 46 21 11 44 33 18 53
33 SLS Rare Comb 33 54 43 24 13 43 32 20 50
34 SLS Rare Comb 34 57 47 26 15 46 36 22 54
35 SLS Rare Comb 35 48 46 23 21 39 37 23 47
36 SLS Rare Comb 36 54 44 26 16 44 33 23 51
37 SLS Rare Comb 37 59 43 27 11 48 31 22 54
38 SLS Rare Comb 38 61 45 23 7 47 31 18 55
39 SLS Rare Comb 39 59 43 25 9 47 31 20 54
40 SLS Rare Comb 40 62 46 26 11 49 33 21 56
41 SLS Rare Comb 41 60 44 26 10 48 32 20 55
42 SLS Rare Comb 42 59 43 27 11 48 31 22 54
43 SLS Rare Comb 43 59 43 27 11 47 31 22 53
44 SLS Rare Comb 44 60 44 23 7 47 31 18 55
45 SLS Rare Comb 45 59 43 25 9 46 30 20 53
46 SLS Rare Comb 46 61 45 26 11 49 33 21 56
47 SLS Rare Comb 47 60 44 26 10 47 32 20 54
48 SLS Rare Comb 48 59 43 27 11 47 31 22 53
49 SLS Rare Comb 49 60 42 26 8 48 30 20 54
50 SLS Rare Comb 50 60 42 26 8 48 30 20 54
51 SLS Rare Comb 51 60 42 26 8 48 30 20 54
52 SLS Rare Comb 52 60 42 26 8 48 30 20 54
53 SLS Rare Comb 53 60 42 26 8 48 30 20 54
54 SLS Rare Comb 54 60 42 26 8 48 30 20 54
55 SLS Rare Comb 55 60 42 26 8 48 29 20 53
56 SLS Rare Comb 56 60 42 26 8 48 29 20 53
57 SLS Rare Comb 57 60 42 26 8 48 29 20 53
58 SLS Rare Comb 58 60 42 26 8 48 29 20 53
59 SLS Rare Comb 59 60 42 26 8 48 29 20 53
60 SLS Rare Comb 60 60 42 26 8 48 29 20 53

15.19 SLS RARE DESIGN FORCES FOR OPEN FOUNDATION


Long. Trans. Lever Arm Lever Arm Long. Trans.
Load Combination
S.No. Shear Shear Long Trans Moment Moment
Units tm tm m m tm tm
1 SLS Rare Comb 1 4244 3300 3.11 2.82 9977 6495
2 SLS Rare Comb 2 4324 3166 3.14 2.82 10348 6116
3 SLS Rare Comb 3 4174 3164 3.12 2.82 9813 6112
4 SLS Rare Comb 4 4497 3411 3.12 2.82 10809 6800
5 SLS Rare Comb 5 4249 3301 3.11 2.82 9989 6491
6 SLS Rare Comb 6 4160 3311 3.10 2.82 9674 6525
7 SLS Rare Comb 7 4210 3281 3.11 2.82 9869 6441
8 SLS Rare Comb 8 4291 3146 3.13 2.82 10240 6062
9 SLS Rare Comb 9 4141 3145 3.12 2.82 9705 6058

___________________________________________________________________________________________________________________
202
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
10 SLS Rare Comb 10 4464 3391 3.12 2.82 10700 6746
11 SLS Rare Comb 11 4215 3281 3.11 2.82 9881 6437
12 SLS Rare Comb 12 4210 3281 3.11 2.82 9869 6441
13 SLS Rare Comb 13 4236 3196 3.11 2.81 9976 6170
14 SLS Rare Comb 14 4297 3095 3.13 2.81 10254 5886
15 SLS Rare Comb 15 4184 3094 3.12 2.81 9853 5883
16 SLS Rare Comb 16 4427 3279 3.12 2.81 10599 6399
17 SLS Rare Comb 17 4164 3206 3.10 2.81 9707 6195
18 SLS Rare Comb 18 4127 3087 3.12 2.81 9648 5860
19 SLS Rare Comb 19 4203 3176 3.11 2.81 9868 6116
20 SLS Rare Comb 20 4263 3075 3.13 2.81 10146 5832
21 SLS Rare Comb 21 4151 3074 3.12 2.81 9745 5829
22 SLS Rare Comb 22 4393 3259 3.12 2.81 10491 6344
23 SLS Rare Comb 23 4130 3187 3.10 2.81 9599 6141
24 SLS Rare Comb 24 4094 3068 3.11 2.81 9540 5806
25 SLS Rare Comb 25 4380 3596 3.12 2.86 10439 7450
26 SLS Rare Comb 26 4461 3462 3.14 2.86 10809 7072
27 SLS Rare Comb 27 4311 3460 3.13 2.86 10275 7068
28 SLS Rare Comb 28 4634 3707 3.13 2.85 11270 7755
29 SLS Rare Comb 29 4249 3301 3.11 2.82 9989 6491
30 SLS Rare Comb 30 4380 3596 3.12 2.86 10439 7450
31 SLS Rare Comb 31 4346 3577 3.12 2.86 10330 7396
32 SLS Rare Comb 32 4427 3442 3.14 2.86 10701 7018
33 SLS Rare Comb 33 4277 3441 3.13 2.86 10166 7013
34 SLS Rare Comb 34 4600 3688 3.12 2.85 11161 7701
35 SLS Rare Comb 35 4215 3281 3.11 2.82 9881 6437
36 SLS Rare Comb 36 4346 3577 3.12 2.86 10330 7396
37 SLS Rare Comb 37 4490 3750 3.13 2.88 10839 7964
38 SLS Rare Comb 38 4551 3649 3.15 2.88 11117 7680
39 SLS Rare Comb 39 4438 3648 3.14 2.88 10716 7677
40 SLS Rare Comb 40 4680 3833 3.14 2.87 11462 8192
41 SLS Rare Comb 41 4556 3742 3.14 2.88 11075 7938
42 SLS Rare Comb 42 4490 3750 3.13 2.88 10839 7964
43 SLS Rare Comb 43 4456 3731 3.13 2.88 10731 7910
44 SLS Rare Comb 44 4517 3630 3.15 2.88 11009 7626
45 SLS Rare Comb 45 4405 3629 3.14 2.88 10608 7623
46 SLS Rare Comb 46 4647 3814 3.13 2.87 11354 8138
47 SLS Rare Comb 47 4523 3723 3.13 2.88 10967 7884
48 SLS Rare Comb 48 4456 3731 3.13 2.88 10731 7910
49 SLS Rare Comb 49 4443 3723 3.14 2.88 10724 7918
50 SLS Rare Comb 50 4443 3723 3.14 2.88 10724 7918
51 SLS Rare Comb 51 4443 3723 3.14 2.88 10724 7918
52 SLS Rare Comb 52 4443 3723 3.14 2.88 10724 7918
53 SLS Rare Comb 53 4443 3723 3.14 2.88 10724 7918
54 SLS Rare Comb 54 4443 3723 3.14 2.88 10724 7918
55 SLS Rare Comb 55 4409 3704 3.14 2.89 10616 7864
56 SLS Rare Comb 56 4409 3704 3.14 2.89 10616 7864
57 SLS Rare Comb 57 4409 3704 3.14 2.89 10616 7864
58 SLS Rare Comb 58 4409 3704 3.14 2.89 10616 7864
59 SLS Rare Comb 59 4409 3704 3.14 2.89 10616 7864
60 SLS Rare Comb 60 4409 3704 3.14 2.89 10616 7864
Max. Values 4680 3833 3 3 11462 8192
Moments are obtained after reduction of Bending Moment due to weight of Foundation.

___________________________________________________________________________________________________________________
203
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.20 DESIGN OF OPEN FOUNDATION FOR SLS RARE COMBINATIONS
Moments
Long. Trans.
Combinations
Section Section
tm tm
SLS RARE 11270 7755
SLS STRESS CHECK
Trans.
DESIGN CHECK OF OPEN FOUNDATION Units
Long. Section Section
Moment for Stress Check 11270 7755 tm
Ast 226617 226617 mm2
Effective Cover 133 165 mm
Es 200000 200000 N/mm2
Ec 32000 32000 N/mm2
m(Es/Ec) Short Term 6.250 6.250
Depth of Neutral Axis (Short Term) 733 730 mm
Concrete Strain (Short Term) 0.000158 0.00010992
Concrete Stress Allowable 21.6 21.6 N/mm2
Concrete Stress (Short Term) 5.04 3.52 N/mm2
Creep Coefficient 1.5 1.5
m(Es/Ec)Long Term 15.63 15.63
Depth of Neutral Axis (Long Term) 1091 1086 mm
Concrete Strain (Long Term) 0.00027 0.00019
Steel Strain (Long Term) 0.00070 0.00048
Steel Stress Allowable 400 400 N/mm2
Steel Stress (Long Term) 139.28 96.68 N/mm2

15.21 FORCES AT OPEN FOUNDATION BOTTOM FOR QUASI PERMANENT LOAD COMBINATIONS

Load Combination P ML MT HL HT Net ML Net MT


S.No.
Units t tm tm t t tm tm
1 SLS QP Comb 1 9082 8982 0 244 0 8982 0
2 SLS QP Comb 2 9082 8982 0 244 0 8982 0

PRESSURE AT KEY POINTS FOR SLS QUASI PERMANENT COMBINATIONS


Load Combination P1 P2 P3 P4 P5 P6 P7 P8
S.No. 2 2 2 2 2 2
Units t/m t/m t/m t/m t/m t/m t/m2 t/m2
1 SLS QP Comb 1 45 45 21 21 37 37 21 45
2 SLS QP Comb 2 45 45 21 21 37 37 21 45

15.22 SLS QUASI PERMANENT DESIGN FORCES FOR OPEN FOUNDATION DESIGN
Long. Trans. Lever Arm Lever Arm Long. Trans.
Load Combination
S.No. Shear Shear Long Trans Moment Moment
Units t t m m tm tm
1 SLS QP Comb 1 4058 3096 3.11 2.81 9395 5885
2 SLS QP Comb 2 4058 3096 3.11 2.81 9395 5885

___________________________________________________________________________________________________________________
204
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
15.23 DESIGN OF OPEN FOUNDATION FOR SLS QUASI PERMANENT COMBINATIONS
Moments
Long. Trans.
Combinations
Section Section
tm tm
SLS QUASI 9395 5885

SLS CRACK WIDTH CHECK


Moment for Crack Width Check 9395 5885 tm
Depth of Neutral Axis (Long Term) 1091 1086 mm
Concrete Strain 0.00023 0.00014
Steel Strain 0.00058 0.00037
Stress in Reinf. 116 73 Mpa
kt 0.5 0.5
fct,eff 1.9 1.9
Alpha eff 15.63 15.63
Ast 226617 226617 mm2
x 1091 1086 mm
Aceff 5502955.247 6822955.25
Rho eff 0.041180953 0.0332139
k1 0.8 0.8
k2 0.5 0.5
Srmax 302.1 333.8 mm
esm-ecm 0.000390988 0.00022009
Allowable Crack Width 0.3 0.3 mm
Crack Width IRC 0.12 0.07 mm

PUNCHING CHECK FOR OPEN FOUNDATION

Check at Face of Pier


Pier Width = 5250 mm
Pier Length = 4500 mm
Perimeter, u o = 19500 mm
Effective Depth = 3867 mm (for longitudinal section)
= 3835 mm (for transverse section)
Avg. depth, d = 3851 mm

Punching Shear, V Ed = 9295 t


Corresponding M Ed = 41183 tm

Axial Load for Calculation of Relief Load = 9295 t


Foundation area = 272250000 mm2
Punching area = 23625000 mm2
Relief load on punching area = 807 t

Reduced Punching shear, VEd,red = 8489 t


βο = 2.7
ν Ed,red = βo V Ed,red / u o d = 3.10 MPa
ν Rd,max = 0.134f ck (1-f ck /310) = 5.15 MPa Safe

Check at Control Perimeter i.e. d distance from pier face


Depth at Pier Edge = 4000 mm
Depth at Edge = 2250 mm
Constant Portion Length = 7500 mm
Distance of Section from Center of FDN. = 5676 mm
Depth at d distance = 3251 mm
Effective Depth = 3151 mm (for longitudinal section)
= 2951 mm (for transverse section)
Avg. depth, d = 3051 mm

___________________________________________________________________________________________________________________
205
Project
M/s. Bharat Constructions Pvt. Ltd.
MJB
Construction of Rudraprayag Tunnel of length 900.30m including approaches with 200m length 50+100+50
major bridge on Alaknanda river connecting NH-107 (old NH-109) to NH-07 (old NH-58) on EPC Document CIPL-MJB-1+055.734-DGN-001
mode in the State of Uttrakhand Designed by Shubham Garg
Substructure and Foundation Design of P1 and P2 of Major Birdge on Alaknanda River Checked by Nithil Malguri
Perimeter, u 1 = 38660 mm
2
Area in Perimeter for Relief Load = 112348507 mm
Relief load on punching area = 3836 t

Reduced Punching shear, VEd,red = 5460 t


Beta Factor = 2.7
ν Ed,red = β1 V Ed,red / u 1 d = 1.27 MPa

ν Rd = 0.12k(80 ρ1 f ck ) 1/3 2d/a ≥ νmin 2d/a


where,
k = 1 + sqrt(200/d) <= 2 = 1.26
ρL = 0.00343
ρT = 0.00343
ρ1 = sqrt(ρL ρT) <= 0.02 = 0.00343
2d/av = 2.00
ν Rd = 1.39 MPa
νmin = 0.031 k3/2 fck1/2 2d/a = 1.17 MPa Safe

___________________________________________________________________________________________________________________
206

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