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Design-Psc T Girder

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PROJECT:

ELEVATED STRUCTURE AT KANAONI OVER HINDON CUT CANAL


AND PARALLEL HINDON CUT CANAL, DISTRICT GHAZIABAD

CLIENT:

SUPERINTENDING ENGINEER
III RD CIRCLE, IRRIGATION WORKS
AGRA, UTTAR PRADESH

TITLE OF CALCULATIONS:

DESIGN OF PSC T GIRDER SUPERSTRUCTURE


(FOR SPAN A1-P1 & P1-A2)

DOCUMENT NO: SICEPL/2015004/001 REVISION NO:


R0

DATE: DECEMBER, 2016

DESIGN CONSULTANT:

INFRA CONSULTING
SETU ENGINEERS PVT. LTD.

B-98, 2nd Floor, Ashoka Enclave II, Sector-37, Faridabad-121003

Contact No: +91-9873072001, +91-9818625189


DESIGN OF PSC T BEAM SUPERSTRUCTURES
(1X24.0M SPAN, 14.0M WIDTH)
Design of PSC Girder 22.5m span and Slab Decking :
BASIC DESIGN DATA

1 Total width of superstructure Wsup 14.000 m


2 Effective span Leff 22.500 m
3 Clear carriage way Bcw 11.500 m
4 Skew angle Ang 0.000 Deg.
5 Spacing of main girder c/c Spmg 3.000 m
6 Width of railing+kerb Wkerb 0.500 m
7 Average Thk of deck slab Df 0.225 m
8 Thk of wearing coat Wc 0.065 m
9 Length of cantilever Lcan 1.000 m
10 Length of cantilever Lcan1 1.000 m
11 Cantilever slab thk at fixed end Dcan1 0.225 m
12 Cantilever slab thk at free end Dcan2 0.225 m
13 No of main girder Nomg 5 m
14 Depth of main girder (incl slab) Dmg 1.725 m
15 Width of Flange Wf 1.000 m
16 Depth of Flange Dfl 0.150 m
17 Web thk of main girder ( at center ) bwmc 0.300 m
18 Web thk of main girder ( at support ) bwms 0.800 m
19 Length of extra widening ( varying ) Lwv 1.500 m
20 Length of extra widening ( uniform ) Lwu 1.500 m
21 Top haunch Thw x Thh 0.350 x 0.100 m
22 Bottom haunch Bhw x Bhh 0.250 x 0.200 m
23 Bottom bulb Bbw x Bbh 0.800 x 0.250 m
2
24 Area of Beam at center Abc 0.7650 m
25 Area of Beam at support Abs 1.2329 m2
26 No of cross girder (incl. end girders) Nocg 2 m
27 Depth of cross girder (excl. Slab) Dcg 1.250 m
28 Thk of cross girder (Intermediate) bwcg 0.000 m
29 Thk of cross girder (End) bwcge 0.400 m
2
31 Grade of concrete Cgrade 45 N/mm
2
32 Grade of reinforcement Sgrade 500 N/mm
33 Clear cover cov 0.04 m
3
34 Unit weight of concrete wcon 2.500 t/m
35 Weight of wearing course wwc 0.200 t/m2
36 Weight of railing+kerb wrail 1.000 t/m
37 Stress in concrete (compression) fc 1500 t/m2
38 Stress in steel (tension) ft 24000 t/m2
39 Modular ratio m 10
40 Lever arm factor j 0.872
Beam Section At Midspan:
Y

1.00
0.15 Total depth = 1.500 m
2
0.1 Area = 0.7650 m
CG from bottom = 0.7381 m
Z Z CG from top = 0.7619 m
0.800 Iz = 0.2025 m4
0.300

0.2

0.25

0.8

Beam Section At Support:
Y

1.00
0.15 Total depth = 1.500 m
0.029 Area = 1.2329 m2
CG from bottom = 0.7678 m
Z Z CG from top = 0.7322 m
0.8714 Iz = 0.2393 m4
0.8

0.2

0.25

0.8

Inner Girder Composite Section At Midspan:
Y
1.500 1.500
Total depth = 1.725 m
0.225 Area = 1.4400 m2
CG from bottom = 1.1480 m
1.00 CG from top = 0.5770 m
0.15 CG from left = 1.5000 m
0.1 CG from right = 1.5000 m
4
Iz = 0.4795 m
Z Z
0.800
0.3

0.2

0.25

0.8

Y
Inner Girder Composite Section At Support:
Y
1.500 1.500
Total depth = 1.725 m
2
0.225 Area = 1.9079 m
CG from bottom = 1.0667 m
1.00 CG from top = 0.6583 m
0.15 CG from left = 1.5000 m
0.029 CG from right = 1.5000 m
4
Iz = 0.5534 m
Z Z
0.8714
0.8

0.2

0.25

0.8

Y
Outer Girder Composite Section At Midspan:
Y
1.000 1.500
Total depth = 1.725 m
0.225 Area = 1.3275 m2
CG from bottom = 1.1086 m
1.00 CG from top = 0.6164 m
0.15 CG from left = 1.1059 m
01
0.1 CG from right =
CG from right = 1 3941
1.3941 m
Iz = 0.4527 m4
Z Z
0.800
0.3

0.2

0.25

0.8

Y
Outer Girder Composite Section At Support:
Y
1.000 1.500
Total depth = 1.725 m
2
0.225 Area = 1.7954 m
CG from bottom = 1.0324 m
1.00 CG from top = 0.6926 m
0.15 CG from left = 1.0783 m
0.029 CG from right = 1.4217 m
4
Iz = 0.5173 m
Z Z
0.8714
0.8

0.2

0.25

0.8

Y
Transverse Members :

Section of End Cross Girder

0.610 m
0.225 1 beff = lo/10 + bw [ Cl. 305.15.2 IRC 21 ]
= 0.610 m lo = 2.100 m
1.250
N A
2

0.4
Area = 0.637 m2
Distance of cg from top fibre (y) = 0.691 m
Moment of inertia of end cross girder (Iz) = 0.1243 m4
d/b for segment 1 = 2.711
K = 0.255
d/b for segment 2 = 3.125
K = 0.265
3 4
Torsional moment of inertia = K x b x d = 0.034 m

Section of Transverse Members T1

0.610 m
N 0.225
A
Area = 0.137 m2
Distance of cg from top fibre (y) = 0.1125 m
4
Moment of inertia (Iz) = 0.0006 m
Torsional moment of inertia = K x b3 x d = 0.0018 m4
Section of Transverse Members T3

3.609
N 0.225
A
2
Area = 0.812 m
Distance of cg from top fibre (y) = 0.1125 m
4
Moment of inertia (Iz) = 0.0034 m
3
Torsional moment of inertia = K x b x d = 0.0123 m4

Section of Transverse Members T5

2.813
N 0.225
A
2
Area = 0.633 m
Distance of cg from top fibre (y) = 0.1125 m
4
Moment of inertia (Iz) = 0.0027 m
3
Torsional moment of inertia = K x b x d = 0.0095 m4
DESIGN OF MAIN GIRDER

Calculation of dead load

A. Inner Girder (1 st Stage)


1 Selfweight of Beams
Total weight of Beam =0.765*2.5 = 1.913 t/m

2 Web thickening at near ends

Main girder

1.5 1.500

Extra widening at support

2.1 Wt due to extra widening (uni) =(1.2329-0.765)*2.5 = 1.170 t/m


2.2 Wt due to extra widening (vary) = 1.170 to 0 t/m

3 Weight of cross girder to be cast with Beams

3.1 Intermediate Cross girder ((1.725-0.225-0.15-0.25)*(0.35)- = 0.000 t


00.5*0.25*0.2-
5*0 25*0 2
0.5*0.35*0.1)*0*2.5*2

(1.725-0.225-0.15-0.25-0.029/2)
3.2 End Cross girder *(0.5 -0.4)*0.4*2.5*2/cos0 = 0.217 t

B. Inner Girder (2 nd Stage)

1 Weight of deck slab =3*0.225*2.5 = 1.688 t/m

2 Weight of Inner cross girder =((3-1)*1.25)*0*2.5 = 0.000 t

3 Weight of End cross girder =((3-1)*1.25) *0.4*2.5/cos0 = 2.500 t


A. Outer Girder (1 st Stage)
1 Selfweight of Beams

Total weight of Beam =0.765*2.5 = 1.913 t/m

2 Web thickening at near ends

Main girder

1.5 1.5

Extra widening at support

2.1 Wt due to extra widening (uni) =(1.2329-0.765)*2.5 = 1.170 t/m


2.2 Wt due to extra widening (vary) = 1.170 to 0 t/m

3 Weight of cross girder to be cast with Beams

3.1 Intermediate Cross girder ((1.725-0.225-0.15-0.25)*(0.35)- = 0.000 t


0.5*0.25*0.2-
0.5*0.35*0.1)*0*2.5*2

3.2 End Cross girder (1.725-0.225-0.15-0.25-0.029/2) = 0.217 t


*(0.5 -0.4)*0.4*2.5*2/cos0

B. Outer Girder (2 nd Stage)

1 Weight of deck slab =(2*0.225+ 0.5*(0.225+0.225)/2) = 1.406 t/m


*2.5
Moment = 0.352 t-m

1a Weight of deck slab =(2*0.225+ 0.5*(0.225+0.225)/2) = 1.406 t/m


*2.5
Moment = 0.352 t-m

2 Weight of Inner cross girder =((3-1)*1.25)*0*2.5/2 = 0.000 t

Moment = 0.000 t-m

3 Weight of End cross girder =((3-1)*1.25) *0.4*2.5/2/cos0 = 1.250 t

Moment = 1.250 t-m


2
22
6
24 103
35 93
49
98
34 12
48 25 104
33 94
47 56
99
32 13
55 26 105
46 95
31
54 63
100
45
14
30
62 27 106
44 53 96
29 70
101
83 52 61
43 8
15 78 69 28 107
1 51 60 4
17 97 23
5 88 77
102
84 59 68
50 42
79 67 76
18 58
9 89 41
85 66 75
57
80 40
65 74
90 19
10 39
86
64 73
81 38
72
91 20
11
Y
37
87
71
X 82
Z 36
21 Load 1
7 92
16
3

Whole Structure
27 4
40 13129162
152
39 125 54 6
157 132
119 53 30163
38 126 153
113 52 61 12
37 120 158 133
51 60 31164
36 107 114 127 154
50 59 68 13
101 121 159 134
35 108
58 67 32165
95 49 128
34 102 115 155
57 66 75 14
89 142 122 160 135
20 48 96 109
137 65 74 33166
1 56 129 8
83 22 103 116 156 13628
3 90 73
15147 143 64 161
82
110 123 130 47
84 55 97 81
5 138 63 72
23 104 117 124 46
91 80
16148 144 71
62 98 111 118 45
85 139 79
9 70
24 92 105 44
17149 78 112
145
86 69 99 106 43
10 140 77
25 93 42
18150 146 100
87 76 41
Y 11 141 94
X 26
Z 1915188 21 Load 1
7 2

Whole Structure
STAAD INPUT FOR LONGITUDINAL ANALYSIS

STAAD SPACE 
START JOB INFORMATION 
ENGINEER DATE 24‐Feb‐16 
END JOB INFORMATION 
INPUT WIDTH 79 
UNIT METER MTON 
JOINT COORDINATES 
1 0 0 0; 2 24 0 0; 3 0 0 14; 4 24 0 14; 5 0 0 1; 6 24 0 1; 7 0 0 13; 8 24 0 13; 
9 0 0 4; 10 0 0 7; 11 0 0 10; 12 24 0 4; 13 24 0 7; 14 24 0 10; 15 0.75 0 0; 
16 0.75 0 14; 17 0.75 0 1; 18 0.75 0 4; 19 0.75 0 7; 20 0.75 0 10; 
21 0.75 0 13; 22 23.25 0 0; 23 23.25 0 14; 24 23.25 0 1; 25 23.25 0 4; 
26 23.25 0 7; 27 23.25 0 10; 28 23.25 0 13; 29 3.5625 0 0; 30 6.375 0 0; 
31 9.1875 0 0; 32 12 0 0; 33 14.8125 0 0; 34 17.625 0 0; 35 20.4375 0 0; 
36 3.5625 0 14; 37 6.375 0 14; 38 9.1875 0 14; 39 12 0 14; 40 14.8125 0 14; 
41 17.625 0 14; 42 20.4375 0 14; 43 3.5625 0 1; 44 6.375 0 1; 45 9.1875 0 1; 
46 12 0 1; 47 14.8125 0 1; 48 17.625 0 1; 49 20.4375 0 1; 50 3.5625 0 4; 
51 6.375 0 4; 52 9.1875 0 4; 53 12 0 4; 54 14.8125 0 4; 55 17.625 0 4; 
56 20.4375 0 4; 57 3.5625 0 7; 58 6.375 0 7; 59 9.1875 0 7; 60 12 0 7; 
61 14.8125 0 7; 62 17.625 0 7; 63 20.4375 0 7; 64 3.5625 0 10; 65 6.375 0 10; 
66 9.1875 0 10; 67 12 0 10; 68 14.8125 0 10; 69 17.625 0 10; 70 20.4375 0 10; 
71 3.5625 0 13; 72 6.375 0 13; 73 9.1875 0 13; 74 12 0 13; 75 14.8125 0 13; 
76 17.625 0 13; 77 20.4375 0 13; 78 2.25 0 1; 79 2.25 0 4; 80 2.25 0 7; 
81 2.25 0 10; 82 2.25 0 13; 83 3.75 0 1; 84 3.75 0 4; 85 3.75 0 7; 
86 3.75 0 10; 87 3.75 0 13; 88 0.25 0 1; 89 0.25 0 4; 90 0.25 0 7; 
91 0.25 0 10; 92 0.25 0 13; 93 21.75 0 1; 94 21.75 0 4; 95 21.75 0 7; 
96 21.75 0 10; 97 21.75 0 13; 98 20.25 0 1; 99 20.25 0 4; 100 20.25 0 7; 
101 20.25 0 10; 102 20.25 0 13; 103 23.75 0 1; 104 23.75 0 4; 105 23.75 0 7; 
106 23.75 0 10; 107 23.75 0 13; 
MEMBER INCIDENCES 
1 1 15; 2 3 16; 3 1 5; 4 2 6; 5 5 9; 6 6 12; 7 7 3; 8 8 4; 9 9 10; 10 10 11; 
11 11 7; 12 12 13; 13 13 14; 14 14 8; 15 5 88; 16 9 89; 17 10 90; 18 11 91; 
19 7 92; 20 15 29; 21 16 36; 22 17 78; 23 18 79; 24 19 80; 25 20 81; 26 21 82; 
27 22 2; 28 23 4; 29 24 103; 30 25 104; 31 26 105; 32 27 106; 33 28 107; 
34 29 30; 35 30 31; 36 31 32; 37 32 33; 38 33 34; 39 34 35; 40 35 22; 41 36 37; 
42 37 38; 43 38 39; 44 39 40; 45 40 41; 46 41 42; 47 42 23; 48 43 83; 49 44 45; 
50 45 46; 51 46 47; 52 47 48; 53 48 98; 54 49 93; 55 50 84; 56 51 52; 57 52 53; 
58 53 54; 59 54 55; 60 55 99; 61 56 94; 62 57 85; 63 58 59; 64 59 60; 65 60 61; 
66 61 62; 67 62 100; 68 63 95; 69 64 86; 70 65 66; 71 66 67; 72 67 68; 
73 68 69; 74 69 101; 75 70 96; 76 71 87; 77 72 73; 78 73 74; 79 74 75; 
80 75 76; 81 76 102; 82 77 97; 83 15 17; 84 17 18; 85 18 19; 86 19 20; 
87 20 21; 88 21 16; 89 29 43; 90 43 50; 91 50 57; 92 57 64; 93 64 71; 94 71 36; 
95 30 44; 96 44 51; 97 51 58; 98 58 65; 99 65 72; 100 72 37; 101 31 45; 
102 45 52; 103 52 59; 104 59 66; 105 66 73; 106 73 38; 107 32 46; 108 46 53; 
109 53 60; 110 60 67; 111 67 74; 112 74 39; 113 33 47; 114 47 54; 115 54 61; 
116 61 68; 117 68 75; 118 75 40; 119 34 48; 120 48 55; 121 55 62; 122 62 69; 
123 69 76; 124 76 41; 125 35 49; 126 49 56; 127 56 63; 128 63 70; 129 70 77; 
130 77 42; 131 22 24; 132 24 25; 133 25 26; 134 26 27; 135 27 28; 136 28 23; 
137 78 43; 138 79 50; 139 80 57; 140 81 64; 141 82 71; 142 83 44; 143 84 51; 
144 85 58; 145 86 65; 146 87 72; 147 88 17; 148 89 18; 149 90 19; 150 91 20; 
151 92 21; 152 93 24; 153 94 25; 154 95 26; 155 96 27; 156 97 28; 157 98 49; 
158 99 56; 159 100 63; 160 101 70; 161 102 77; 162 103 6; 163 104 12; 
164 105 13; 165 106 14; 166 107 8; 
DEFINE MATERIAL START 
ISOTROPIC MATERIAL1 
E 3.5e+006 
POISSON 0.15 
DENSITY 2.5 
ALPHA 1e‐005 
DAMP 0.05 
ISOTROPIC MATERIAL2 
E 3.5e+006 
POISSON 0.15 
DENSITY 0.0001 
ALPHA 1e‐005 
DAMP 0.05 
END DEFINE MATERIAL 
MEMBER PROPERTY AMERICAN 
22 26 29 33 147 151 152 156 PRIS AX 1.7954 IX 0.0001 IY 0.0001 IZ 0.5173 
48 54 76 82 137 141 157 161 PRIS AX 1.5614 IX 0.0001 IY 0.0001 IZ 0.4850 
49 TO 53 77 TO 81 142 146 PRIS AX 1.3275 IX 0.0001 IY 0.0001 IZ 0.4527 
23 TO 25 30 TO 32 148 TO 150 153 TO 154 ‐ 
155 PRIS AX 1.9079 IX 0.0001 IY 0.0001 IZ 0.5534 
55 61 62 68 69 75 138 TO 140 158 TO 159 ‐ 
160 PRIS AX 1.6739 IX 0.0001 IY 0.0001 IZ 0.5165 
56 TO 60 63 TO 67 70 TO 74 143 TO 144 ‐ 
145 PRIS AX 1.4400 IX 0.0001 IY 0.0001 IZ 0.4795 
15 19 162 166 PRIS YD 0.35 ZD 2.5 
16 TO 18 163 TO 165 PRIS YD 0.35 ZD 3 
1 TO 14 20 21 27 28 34 TO 47 PRIS AX 0.001 IX 0.0001 IY 0.0001 IZ 0.0001 
84 TO 87 132 TO 135 PRIS AX 0.637 IX 0.0001 IY 0.0001 IZ 0.1243 
83 88 131 136 PRIS AX 0.137 IX 0.0001 IY 0.0001 IZ 0.0006 
89 TO 94 125 TO 130 PRIS AX 0.812 IX 0.0001 IY 0.0001 IZ 0.0034 
95 TO 124 PRIS AX 0.633 IX 0.0001 IY 0.0001 IZ 0.0027 
CONSTANTS 
MATERIAL MATERIAL1 MEMB 15 TO 19 22 TO 26 29 TO 33 48 TO 82 84 TO 87 ‐ 
132 TO 135 137 TO 166 
MATERIAL MATERIAL2 MEMB 1 TO 14 20 21 27 28 34 TO 47 83 88 TO 131 136 
SUPPORTS 
17 18 20 21 24 25 27 28 PINNED 
DEFINE MOVING LOAD 
TYPE 1 LOAD 3.4 3.4 3.4 3.4 5.7 5.7 1.35 1.35 
DIST 3 3 3 4.3 1.2 3.2 1.1 WID 1.8 
TYPE 2 LOAD 1.35 1.35 5.7 5.7 3.4 3.4 3.4 3.4 
DIST 1.1 3.2 1.2 4.3 3 3 3 WID 1.8 
TYPE 3 LOAD 8.5 8.5 8.5 8.5 6 6 4 
DIST 1.37 3.05 1.37 2.13 1.52 3.96 WID 1.93 
TYPE 4 LOAD 4 6 6 8.5 8.5 8.5 8.5 
DIST 3.96 1.52 2.13 1.37 3.05 1.37 WID 1.93 
TYPE 5 LOAD 3.5 7 7 7 7 3.5 
DIST 0.914 0.914 0.914 0.914 0.914 WID 2.06 
*LOAD 1 DEAD LOAD 
*SELFWEIGHT Y ‐1  
*LOAD 2 SIDL WITHOUT W/C 
*MEMBER LOAD 
*15 19 22 26 29 33 48 TO 54 76 TO 82 137 141 142 146 147 151 152 156 157 161 ‐ 
*162 166 UNI GY ‐1 
*15 22 29 48 TO 54 137 142 147 152 157 162 UMOM GX ‐0.75 
*19 26 33 76 TO 82 141 146 151 156 161 166 UMOM GX 0.75 
*15 22 29 48 TO 54 137 142 147 152 157 162 UNI GY ‐1.13 
*15 22 29 48 TO 54 137 142 147 152 157 162 UMOM GX ‐0.283 
******CRASH BARRIER @ 1T/M; MOMEMT =1*(1.00‐0.5/2)=0.75 TM/M 
******FOOTPATH DL @ 1.5*0.3*2.5 =1.13T/M; MOMEMT =1.13*(1.5/2‐0.5)=0.2825TM/M 
****LOAD 3 SIDL WITH W/C 
*MEMBER LOAD 
*15 22 29 48 TO 54 137 142 147 152 157 162 UNI GY ‐0.1 
*19 26 33 76 TO 82 141 146 151 156 161 166 UNI GY ‐0.4 
*16 TO 18 23 TO 25 30 TO 32 55 TO 75 138 TO 140 143 TO 145 148 TO 150 ‐ 
*153 TO 155 158 TO 160 163 TO 165 UNI GY ‐0.6 
*LOAD 4 FPLL 
*MEMBER LOAD 
*15 22 29 48 TO 54 137 142 147 152 157 162 UNI GY ‐0.65 
*15 22 29 48 TO 54 137 142 147 152 157 162 UMOM GX ‐0.1625 
******** FOOTPATH LL @ 1.5*0.43 =0.65T/M; MOMEMT =0.65*(1.5/2‐0.5)=0.1625TM/M 
*LOAD 5 WIND LOAD 
*MEMBER LOAD 
*15 19 22 26 29 33 48 TO 54 76 TO 82 137 141 142 146 147 151 152 156 157 161 ‐ 
*162 166 UNI GY ‐0.5 
*16 TO 18 23 TO 25 30 TO 32 55 TO 75 138 TO 140 143 TO 145 148 TO 150 ‐ 
*153 TO 155 158 TO 160 163 TO 165 UNI GY ‐0.6 
*LOAD 6 VERTICAL SEISMIC 
*SELFWEIGHT Y ‐0.12 
*MEMBER LOAD 
*15 19 22 26 29 33 48 TO 54 76 TO 82 137 141 142 146 147 151 152 156 157 161 ‐ 
*162 166 UNI GY ‐0.12 
*15 22 29 48 TO 54 137 142 147 152 157 162 UNI GY ‐0.14 
*15 22 29 48 TO 54 137 142 147 152 157 162 UNI GY ‐0.012 
*19 26 33 76 TO 82 141 146 151 156 161 166 UNI GY ‐0.048 
*16 TO 18 23 TO 25 30 TO 32 55 TO 75 138 TO 140 143 TO 145 148 TO 150 ‐ 
*153 TO 155 158 TO 160 163 TO 165 UNI GY ‐0.072 
*************************************************************** 
***LL‐1******1 LANE 70RW+1LANE CLA(ECCENTRICALLY PLACED FOOTPATH  SIDE) 
*********************************************** 
*LOAD GENERATION 220 
*TYPE 3 ‐13.4 0 5.56 XINC 0.2 
*TYPE 1 ‐18.8 0 11.3 XINC 0.2 
******************************************************** 
*********LL‐2******3 LANE CLASS‐A (ECCENTRICALLY PLACED FOOTPAH SIDE) 
******************************************************** 
*LOAD GENERATION 220 
*TYPE 1 ‐18.8 0 4.2 XINC 0.2 
*TYPE 1 ‐18.8 0 7.7 XINC 0.2 
*TYPE 1 ‐18.8 0 11.2 XINC 0.2 
*********LL‐3   1 LANE 70RW+1LANE 
*LOAD GENERATION 220 
*TYPE 3 ‐13.4 0 8.82 XINC 0.2 
*TYPE 1 ‐18.8 0 12.5 XINC 0.2 
*********LL‐4 1 LANE 70RW+1LANE Class‐A 
*LOAD GENERATION 220 
*TYPE 3 ‐13.4 0 11.87 XINC 0.2 
*TYPE 1 ‐18.8 0 6.0 XINC 0.2 
*********LL‐5   3 LANE Class‐A  
LOAD GENERATION 220 
TYPE 1 ‐18.8 0 13.1 XINC 0.2 
TYPE 1 ‐18.8 0 9.6 XINC 0.2 
TYPE 1 ‐18.8 0 6.1 XINC 0.2 
PERFORM ANALYSIS 
FINISH 
 
 
STAAD INPUT FOR STAGE ANALYSIS

STAAD SPACE 
START JOB INFORMATION 
ENGINEER DATE 11‐Jun‐15 
END JOB INFORMATION 
INPUT WIDTH 79 
UNIT METER MTON 
JOINT COORDINATES 
1 0 0 0; 2 23.5 0 0; 3 0.5 0 0; 4 23 0 0; 5 3.3125 0 0; 6 6.125 0 0; 
7 8.9375 0 0; 8 11.75 0 0; 9 14.5625 0 0; 10 17.375 0 0; 11 20.1875 0 0; 
12 2 0 0; 13 3.5 0 0; 14 20 0 0; 15 21.5 0 0; 
MEMBER INCIDENCES 
1 1 3; 2 3 12; 3 4 2; 4 5 13; 5 6 7; 6 7 8; 7 8 9; 8 9 10; 9 10 14; 10 11 15; 
11 12 5; 12 13 6; 13 14 11; 14 15 4; 
DEFINE MATERIAL START 
ISOTROPIC MATERIAL1 
E 3.5e+006 
POISSON 0.15 
DENSITY 2.5 
ALPHA 1e‐005 
DAMP 0.05 
ISOTROPIC MATERIAL2 
E 3.5e+006 
POISSON 0.15 
DENSITY 0.0001 
ALPHA 1e‐005 
DAMP 0.05 
END DEFINE MATERIAL 
CONSTANTS 
MATERIAL MATERIAL1 ALL 
MEMBER PROPERTY AMERICAN 
1 TO 14 PRIS YD 1 ZD 1 
SUPPORTS 
3 4 PINNED 
LOAD 1 STAGE‐1 FOR ALL GIRDERS 
MEMBER LOAD 
1 TO 14 UNI GY ‐1.913 
1 TO 3 14 UNI GY ‐1.17 
JOINT LOAD 
3 4 FY ‐0.217 
MEMBER LOAD 
4 TRAP GY ‐0.14625 0 
11 TRAP GY ‐1.17 ‐0.14625 
10 TRAP GY ‐1.02375 0 
13 TRAP GY ‐1.17 ‐1.02375 
LOAD 2 STAGE‐2 FOR IG 
MEMBER LOAD 
1 TO 14 UNI GY ‐1.688 
JOINT LOAD 
3 4 FY ‐2.5 
LOAD 3 STAGE‐2 FOR OG 
MEMBER LOAD 
1 TO 14 UNI GY ‐1.406 
JOINT LOAD 
3 4 FY ‐1.25 
LOAD 4 SHUTTERING LOAD FOR IG 
MEMBER LOAD 
1 TO 14 UNI GY ‐1.26 
LOAD 5 SHUTTERING LOAD FOR OG1&OG2 
MEMBER LOAD 
1 TO 14 UNI GY ‐1.05 
PERFORM ANALYSIS 
FINISH 
 
Summary of Loads

Impact Factor Calculation : ( Refer : IRC: 6 -2000 )

70R Vehicle : 1.158 Class A : 1.158

Factor for Warping and Distortion : 1.0

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR OUTER GIRDER-OG1


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 10.67 19.97 36.19 46.99 50.70
2 TYPE-2 11.91 19.95 35.38 45.64 50.63
3 TYPE-3 0.00 0.00 0.00 0.00 0.00
4 TYPE-4 1.14 2.13 3.83 4.81 4.82
5 TYPE-5 0.66 1.22 2.42 3.04 3.25
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 11.91 19.97 36.19 46.99 50.70

SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR OUTER GIRDER-OG1


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 7.09 7.09 5.78 3.91 1.47
2 TYPE-2 8.07 8.07 6.64 4.63 2.64
3 TYPE-3 2.93 2.93 2.27 1.51 0.65
4 TYPE-4 0.69 0.69 0.64 0.64 0.41
5 TYPE-5 0.43 0.43 0.52 0.52 0.38
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 8.07 8.07 6.64 4.63 2.64

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR OUTER GIRDER-OG1


(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 12.35 23.12 41.91 54.41 58.71
2 TYPE-2 13.79 23.10 40.97 52.85 58.62
3 TYPE-3 0.00 0.00 0.00 0.00 0.00
4 TYPE-4 1.32 2.46 4.43 5.56 5.58
5 TYPE-5 0.77 1.41 2.80 3.52 3.76
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 13.79 23.12 41.91 54.41 58.71
SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR OUTER GIRDER-OG1
(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 8.20 8.20 6.69 4.52 1.71
2 TYPE-2 9.35 9.35 7.69 5.36 3.05
3 TYPE-3 3.39 3.39 2.62 1.74 0.75
4 TYPE-4 0.80 0.80 0.74 0.74 0.48
5 TYPE-5 0.49 0.49 0.60 0.60 0.44
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 9.35 9.35 7.69 5.36 3.05

SUMMARY OF BENDING MOMENT AND SHEAR FORCE (OUTER GIRDER)-OG1

Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
Bending Moments
1 Stage 1 Loading 32.3 56.0 93.8 116.5 124.0

2 Stage 2 Loading 22.0 38.8 66.6 83.2 88.8

3 Shuttering Load 16.4 28.9 49.7 62.2 66.3

4 SIDL( Moment) 35.6 63.2 108.0 134.8 143.1

5 FPLL( Moment) 9.5 16.8 28.7 35.7 38.0

6 Due to Live Load( Moment) 13.79 23.12 41.91 54.41 58.71


23.29 39.91 70.59 90.07 96.67
Shear Forces
1 Stage 1 Loading 19.5 16.2 10.8 5.4 0.0

2 Stage 2 Loading 13.7 11.9 7.9 4.0 0.0

3 Shuttering Load 10.2 8.9 5.9 3.0 0.0

4 SIDL(Shear) 22.5 19.5 12.5 6.2 0.0

5 FPLL( Shear) 6.0 5.1 3.4 1.7 0.1

6 Due to Live Load( Shear) 9.35 9.35 7.69 5.36 3.05


15.32 14.49 11.08 7.10 3.15
Summary of Loads

Impact Factor Calculation : ( Refer : IRC: 6 -2000 )

70R Vehicle : 1.158 Class A : 1.158

Factor for Warping and Distortion : 1.0

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR OUTER GIRDER-OG2


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 8.49 16.04 28.19 34.15 34.91
2 TYPE-2 8.35 15.69 28.92 36.03 36.66
3 TYPE-3 23.30 43.99 79.08 97.01 97.88
4 TYPE-4 33.62 63.07 109.14 135.24 146.07
5 TYPE-5 32.81 58.66 101.12 122.16 123.36
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 33.62 63.07 109.14 135.24 146.07

SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR OUTER GIRDER-OG2


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 5.79 5.79 4.65 3.23 1.99
2 TYPE-2 5.62 5.62 4.73 3.27 1.74
3 TYPE-3 15.86 15.86 12.95 9.06 5.19
4 TYPE-4 22.44 22.44 18.49 13.60 8.73
5 TYPE-5 21.79 21.04 16.61 11.82 7.61
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 22.44 22.44 18.49 13.60 8.73

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR OUTER GIRDER-OG2


(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 9.82 18.57 32.64 39.54 40.42
2 TYPE-2 9.67 18.17 33.49 41.72 42.44
3 TYPE-3 26.97 50.94 91.56 112.33 113.33
4 TYPE-4 38.93 73.03 126.37 156.59 169.14
5 TYPE-5 37.99 67.92 117.09 141.45 142.84
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 38.93 73.03 126.37 156.59 169.14
SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR OUTER GIRDER-OG2
(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 6.70 6.70 5.39 3.74 2.30
2 TYPE-2 6.51 6.51 5.47 3.78 2.01
3 TYPE-3 18.36 18.36 15.00 10.49 6.01
4 TYPE-4 25.98 25.98 21.41 15.74 10.11
5 TYPE-5 25.23 24.36 19.23 13.69 8.81
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 25.98 25.98 21.41 15.74 10.11

SUMMARY OF BENDING MOMENT AND SHEAR FORCE (OUTER GIRDER)-OG2

Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
Bending Moments
1 Stage 1 Loading 32.3 56.0 93.8 116.5 124.0

2 Stage 2 Loading 22.0 38.8 66.6 83.2 88.8

3 Shuttering Load 16.4 28.9 49.7 62.2 66.3

4 SIDL( Moment) 23.2 41.2 70.6 87.8 93.6

5 FPLL( Moment) 0.0 0.0 0.0 0.0 0.0

6 Due to Live Load( Moment) 38.93 73.03 126.37 156.59 169.14


38.93 73.03 126.37 156.59 169.14
Shear Forces
1 Stage 1 Loading 19.5 16.2 10.8 5.4 0.0

2 Stage 2 Loading 13.7 11.9 7.9 4.0 0.0

3 Shuttering Load 10.2 8.9 5.9 3.0 0.0

4 SIDL(Shear) 14.7 12.8 8.5 4.2 0.1

5 FPLL( Shear) 0.0 0.0 0.0 0.0 0.0

6 Due to Live Load( Shear) 25.98 25.98 21.41 15.74 10.11


25.98 25.98 21.41 15.74 10.11
Summary of Loads

Impact Factor Calculation : ( Refer : IRC: 6 -2000 )

70R Vehicle : 1.158 Class A : 1.158

Factor for Warping and Distortion : 1.0

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR INNER GIRDER-IG1


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 54.54 102.36 162.27 195.04 204.69
2 TYPE-2 38.92 73.77 122.16 144.93 145.79
3 TYPE-3 15.45 28.95 50.87 65.54 70.21
4 TYPE-4 23.82 45.18 73.52 86.51 86.65
5 TYPE-5 25.66 48.58 81.61 97.38 98.50
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 54.54 102.36 162.27 195.04 204.69

SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR INNER GIRDER-IG1


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 36.44 36.44 28.31 22.80 18.54
2 TYPE-2 26.64 26.64 20.19 14.56 10.14
3 TYPE-3 10.29 10.29 8.03 5.30 2.06
4 TYPE-4 16.37 16.37 12.26 8.94 6.44
5 TYPE-5 17.54 17.54 13.39 9.56 6.42
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 36.44 36.44 28.31 22.80 18.54

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR INNER GIRDER-IG1


(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 63.15 118.53 187.89 225.84 237.01
2 TYPE-2 45.07 85.42 141.45 167.82 168.81
3 TYPE-3 17.88 33.52 58.90 75.89 81.29
4 TYPE-4 27.58 52.31 85.13 100.17 100.33
5 TYPE-5 29.72 56.25 94.49 112.76 114.06
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 63.15 118.53 187.89 225.84 237.01
SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR INNER GIRDER-IG1
(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 42.19 42.19 32.78 26.40 21.46
2 TYPE-2 30.85 30.85 23.37 16.86 11.75
3 TYPE-3 11.91 11.91 9.30 6.13 2.39
4 TYPE-4 18.95 18.95 14.20 10.35 7.46
5 TYPE-5 20.31 20.31 15.50 11.06 7.43
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 42.19 42.19 32.78 26.40 21.46

SUMMARY OF BENDING MOMENT AND SHEAR FORCE (INNER GIRDER)-IG1

Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
Bending Moments
1 Stage 1 Loading 32.3 56.0 93.8 116.5 124.0

2 Stage 2 Loading 26.4 46.5 79.9 99.9 106.6

3 Shuttering Load 19.7 34.7 59.6 74.6 79.6

4 SIDL( Moment) 10.8 19.3 34.7 44.8 48.3

5 FPLL( Moment) 1.5 2.7 5.2 6.9 7.5

6 Due to Live Load( Moment) 63.15 118.53 187.89 225.84 237.01


64.61 121.26 193.04 232.71 244.50
Shear Forces
1 Stage 1 Loading 19.5 16.2 10.8 5.4 0.0

2 Stage 2 Loading 16.5 14.2 9.5 4.8 0.0

3 Shuttering Load 12.3 10.6 7.1 3.5 0.0

4 SIDL(Shear) 6.8 6.3 4.6 2.8 0.0

5 FPLL( Shear) 1.0 1.0 0.9 0.6 0.2

6 Due to Live Load( Shear) 42.19 42.19 32.78 26.40 21.46


43.16 43.16 33.64 27.01 21.68
Summary of Loads

Impact Factor Calculation : ( Refer : IRC: 6 -2000 )

70R Vehicle : 1.158 Class A : 1.158

Factor for Warping and Distortion : 1.0

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR INNER GIRDER-IG2


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 39.00 73.11 127.93 160.27 173.41
2 TYPE-2 40.40 76.24 133.27 161.89 163.72
3 TYPE-3 53.22 99.82 162.70 198.02 210.10
4 TYPE-4 30.05 56.30 103.41 129.51 131.45
5 TYPE-5 38.61 72.99 124.82 150.18 151.62
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 53.22 99.82 162.70 198.02 210.10

SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR INNER GIRDER-IG2


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 25.99 25.99 21.55 15.77 9.67
2 TYPE-2 27.44 27.44 22.04 15.62 9.82
3 TYPE-3 35.51 35.51 28.77 22.99 17.66
4 TYPE-4 20.05 20.05 16.78 11.76 6.33
5 TYPE-5 26.33 26.33 20.80 14.93 9.89
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 35.51 35.51 28.77 22.99 17.66

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR INNER GIRDER-IG2


(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 45.16 84.65 148.13 185.58 200.79
2 TYPE-2 46.78 88.28 154.32 187.45 189.56
3 TYPE-3 61.62 115.58 188.39 229.29 243.28
4 TYPE-4 34.79 65.19 119.74 149.96 152.21
5 TYPE-5 44.71 84.51 144.53 173.89 175.56
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 61.62 115.58 188.39 229.29 243.28
SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR INNER GIRDER-IG2
(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 30.09 30.09 24.95 18.26 11.20
2 TYPE-2 31.77 31.77 25.52 18.08 11.37
3 TYPE-3 41.11 41.11 33.32 26.62 20.45
4 TYPE-4 23.21 23.21 19.43 13.62 7.33
5 TYPE-5 30.49 30.49 24.08 17.29 11.45
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 41.11 41.11 33.32 26.62 20.45

SUMMARY OF BENDING MOMENT AND SHEAR FORCE (INNER GIRDER)-IG2

Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
Bending Moments
1 Stage 1 Loading 32.3 56.0 93.8 116.5 124.0

2 Stage 2 Loading 26.4 46.5 79.9 99.9 106.6

3 Shuttering Load 19.7 34.7 59.6 74.6 79.6

4 SIDL( Moment) 5.8 9.9 16.0 19.1 20.3

5 FPLL( Moment) 0.0 0.0 0.0 0.0 0.0

6 Due to Live Load( Moment) 61.62 115.58 188.39 229.29 243.28


61.62 115.58 188.39 229.29 243.28
Shear Forces
1 Stage 1 Loading 19.5 16.2 10.8 5.4 0.0

2 Stage 2 Loading 16.5 14.2 9.5 4.8 0.0

3 Shuttering Load 12.3 10.6 7.1 3.5 0.0

4 SIDL(Shear) 3.5 3.0 1.9 1.2 0.5

5 FPLL( Shear) 0.4 0.4 0.3 0.2 0.1

6 Due to Live Load( Shear) 41.11 41.11 33.32 26.62 20.45


41.47 41.47 33.62 26.84 20.53
Summary of Loads

Impact Factor Calculation : ( Refer : IRC: 6 -2000 )

70R Vehicle : 1.158 Class A : 1.158

Factor for Warping and Distortion : 1.0

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR INNER GIRDER-IG3


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 30.94 58.64 98.48 117.53 117.46
2 TYPE-2 36.96 70.07 115.87 137.37 138.18
3 TYPE-3 54.44 102.56 170.46 207.88 216.14
4 TYPE-4 55.07 103.33 164.72 198.77 209.40
5 TYPE-5 41.12 77.73 131.85 158.12 159.46
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 55.07 103.33 170.46 207.88 216.14

SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR INNER GIRDER-IG3


(FROM STAAD OUTPUT) : (WITHOUT IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 21.21 21.21 16.30 11.74 7.90
2 TYPE-2 25.31 25.31 19.15 13.25 9.63
3 TYPE-3 36.72 36.72 28.26 20.78 14.29
4 TYPE-4 36.71 36.71 28.87 23.25 18.54
5 TYPE-5 28.03 28.03 21.64 15.41 10.16
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 36.72 36.72 28.87 23.25 18.54

SUMMARY OF BENDING MOMENT DUE TO LIVE LOAD FOR INNER GIRDER-IG3


(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 35.83 67.90 114.03 136.08 136.01
2 TYPE-2 42.80 81.13 134.16 159.06 160.00
3 TYPE-3 63.04 118.75 197.38 240.70 250.27
4 TYPE-4 63.76 119.65 190.73 230.16 242.46
5 TYPE-5 47.62 90.00 152.67 183.08 184.63
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing moment 63.76 119.65 197.38 240.70 250.27
SUMMARY OF SHEAR FORCE DUE TO LIVE LOAD FOR INNER GIRDER-IG3
(WITH IMPACT)
Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
1 TYPE-1 24.56 24.56 18.87 13.59 9.15
2 TYPE-2 29.31 29.31 22.18 15.34 11.15
3 TYPE-3 42.51 42.51 32.73 24.06 16.54
4 TYPE-4 42.51 42.51 33.43 26.92 21.46
5 TYPE-5 32.45 32.45 25.05 17.84 11.76
6 TYPE-6 0.00 0.00 0.00 0.00 0.00
7 TYPE-7 0.00 0.00 0.00 0.00 0.00
8 TYPE-8 0.00 0.00 0.00 0.00 0.00
9 TYPE-9 0.00 0.00 0.00 0.00 0.00
10 TYPE-10 0.00 0.00 0.00 0.00 0.00
Governing shear 42.51 42.51 33.43 26.92 21.46

SUMMARY OF BENDING MOMENT AND SHEAR FORCE (INNER GIRDER)-IG3

Location
Sl. Nr. Item Deff from Span Span Span (3L/8) Span
support (L/8) (L/4) (L/2)
Bending Moments
1 Stage 1 Loading 32.3 56.0 93.8 116.5 124.0

2 Stage 2 Loading 26.4 46.5 79.9 99.9 106.6

3 Shuttering Load 19.7 34.7 59.6 74.6 79.6

4 SIDL( Moment) 8.6 15.2 26.9 34.4 37.0

5 FPLL( Moment) 0.0 0.0 0.0 0.0 0.0

6 Due to Live Load( Moment) 63.76 119.65 197.38 240.70 250.27


63.76 119.65 197.38 240.70 250.27
Shear Forces
1 Stage 1 Loading 19.5 16.2 10.8 5.4 0.0

2 Stage 2 Loading 16.5 14.2 9.5 4.8 0.0

3 Shuttering Load 12.3 10.6 7.1 3.5 0.0

4 SIDL(Shear) 5.4 5.0 3.5 1.8 0.1

5 FPLL( Shear) 0.3 0.3 0.2 0.1 0.1

6 Due to Live Load( Shear) 42.51 42.51 33.43 26.92 21.46


42.78 42.78 33.65 27.06 21.51
Calculation of Stresses Due to Temperature Gradient at Mid Span of Outer Girder

Total Height of the girder h = 1.725 m
C.G. of Girder from bottom Y = 1.1086 m
M.O.I. of the Section I = 0.4527 m4
Area of the Section A = 1.3275 m2
Grade of Concrete = 45
Modulus of Elasticity of Concrete Ec = 3.400E+07 KN/m2 
o
Coefficient of thermal expansion of concrete a = 0.000012 C
Section Modulus at the top of Slab ZTS = 0.7344 m3
Section Modulus at the top of Girder ZTG = 1.1566 m3
Section Modulus at the bottom of Girder ZBG = 0.4084 m3
Temperature Rise Case
T1 o h1
= 17.8  C = 0.15 m
T2 o h2
= 4.0  C = 0.25 m
T3 o h3
= 2.1  C = 0.15 m

17.8 2.500 m
0.15 Stress 1.000 m
1 7262.4 0.225
2 4.0 0.25 1632.0 0.150 0.25

1.500 0.3
1.175
Y
0.2
3 0.15 856.8 0.25
2.1 0.8

Section of Girder at Span

Stress due to  Stress due to 
y Assuming End 
Height Stress b Force e Moment release of  release of  Final Stress Final Stress
Segment from top Restrained
Axial Force Moment
m KN/m2  m KN m m KNm KN/m2  KN/m2  KN/m2  KN/m2  t/m2 
1 0.150 7262.4 2.500 1667.70 0.059 0.557 929.29 7262.40 ‐1566.23 ‐1389.23 4306.9 430.7
2 0.075 1632.0 2.500 260.10 0.185 0.431 112.13 1632.00 ‐1566.23 ‐882.13 ‐816.4 ‐81.6
3 0.175 1142.4 1.000 99.96 0.283 0.333 33.29 1142.40 ‐1566.23
4 0.150 856.8 0.800 51.41 1.675 ‐1.059 ‐54.42 856.80 ‐1566.23 2498.55 1789.1 178.9
2079.17 1020.29
Temperature Fall Case

10.6 Stress h = 1.725 m


1 0.25 ‐4324.8
h1 T1 o
2 0.7 0.2 ‐285.6 = 0.250 m = 10.6  C
h2 T2 o
= 0.200 m = 0.7  C
h3 T3 o
= 0.200 m = 0.8  C
h4 T4 o
= 0.250 m = 6.6  C
0.825

3 0.8 0.2 ‐326.4


4 0.250 ‐2692.8
6.6

Stress due to  Stress due to 
y Assuming End 
Height Stress b Force e Moment release of  release of  Final Stress Final Stress
Segment from top Restrained
Axial Force Moment
m KN/m2  m KN m m KNm KN/m2  KN/m2  KN/m2  KN/m2  t/m2 
1 0.225 ‐4324.8 2.500 ‐1410.28 0.085 0.531 ‐748.98 ‐4324.80 1333.77 600.59 ‐2390.4 ‐239.0
2 0.025 ‐689.5 1.000 ‐12.19 0.236 0.381 ‐4.64 ‐689.52 1333.77 381.36 1025.6 102.6
3 0.225 ‐285.6 1.000 ‐28.11 0.314 0.302 ‐8.49 ‐285.60 1333.77
4 ‐0.025 35.7 0.300 ‐0.13 0.467 0.150 ‐0.02 35.70 1333.77
5 0.200 ‐326.4 0.550 ‐17.95 1.408 ‐0.792 14.22 ‐326.40 1333.77
4 0.250 ‐2692.8 0.800 ‐301.92 1.633 ‐1.016 306.83 ‐2692.80 1333.77 ‐1080.16 ‐2439.2 ‐243.9
‐1770.59 ‐441.09
Calculation of Stresses Due to Temperature Gradient at Support of Outer Girder

Total Height of the girder h = 1.725 m
C.G. of Girder from bottom Y = 1.0324 m
M.O.I. of the Section I = 0.5173 m4
Area of the Section A = 1.7954 m2
Grade of Concrete = 45
Modulus of Elasticity of Concrete Ec = 3.400E+07 KN/m2 
o
Coefficient of thermal expansion of concrete a = 0.000012 C
Section Modulus at the top of Slab ZTS = 0.7469 m3
Section Modulus at the top of Girder ZTG = 1.1063 m3
Section Modulus at the bottom of Girder ZBG = 0.5011 m3
Temperature Rise Case
T1 o h1
= 17.8  C = 0.15 m
T2 o h2
= 4.0  C = 0.25 m
T3 o h3
= 2.1  C = 0.15 m

17.8 2.500 m
0.15 Stress 1.000 m
1 7262.4 0.225
2 4.0 0.25 1632.0 0.150 0.179

1.500 0.8
1.175
Y
0.2
3 0.15 856.8 0.25
2.1 0.8

Section of Girder at Span

Stress due to  Stress due to 
y Assuming End 
Height Stress b Force e Moment release of  release of  Final Stress Final Stress
Segment from top Restrained
Axial Force Moment
m KN/m2  m KN m m KNm KN/m2  KN/m2  KN/m2  KN/m2  t/m2 
1 0.150 7262.4 2.500 1667.70 0.059 0.633 1056.36 7262.40 ‐1158.05 ‐1578.16 4526.2 452.6
2 0.075 1632.0 2.500 260.10 0.185 0.507 131.95 1632.00 ‐1158.05 ‐1065.47 ‐591.5 ‐59.2
3 0.175 1142.4 1.000 99.96 0.283 0.409 40.91 1142.40 ‐1158.05
4 0.150 856.8 0.800 51.41 1.675 ‐0.982 ‐50.50 856.80 ‐1158.05 2352.43 2051.2 205.1
2079.17 1178.72
Temperature Fall Case

10.6 Stress h = 1.725 m


1 0.25 ‐4324.8
h1 T1 o
2 0.7 0.2 ‐285.6 = 0.250 m = 10.6  C
h2 T2 o
= 0.200 m = 0.7  C
h3 T3 o
= 0.200 m = 0.8  C
h4 T4 o
= 0.250 m = 6.6  C
0.825

3 0.8 0.2 ‐326.4


4 0.250 ‐2692.8
6.6

Stress due to  Stress due to 
y Assuming End 
Height Stress b Force e Moment release of  release of  Final Stress Final Stress
Segment from top Restrained
Axial Force Moment
m KN/m2  m KN m m KNm KN/m2  KN/m2  KN/m2  KN/m2  t/m2 
1 0.225 ‐4324.8 2.500 ‐1410.28 0.085 0.607 ‐856.44 ‐4324.80 990.73 763.36 ‐2570.7 ‐257.1
2 0.025 ‐689.5 1.000 ‐12.19 0.236 0.457 ‐5.57 ‐689.52 990.73 515.38 816.6 81.7
3 0.154 ‐285.6 1.000 ‐27.05 0.311 0.382 ‐10.32 ‐285.60 990.73
4 0.046 ‐65.7 0.800 ‐1.21 0.419 0.273 ‐0.33 ‐65.69 990.73
5 0.200 ‐326.4 0.800 ‐26.11 1.408 ‐0.716 18.69 ‐326.40 990.73
4 0.250 ‐2692.8 0.800 ‐301.92 1.633 ‐0.940 283.82 ‐2692.80 990.73 ‐1137.88 ‐2840.0 ‐284.0
‐1778.76 ‐570.15
Calculation of Stresses Due to Temperature Gradient at Support of Inner Girder

Total Height of the girder h = 1.725 m
C.G. of Girder from bottom Y = 1.0667 m
M.O.I. of the Section I = 0.5534 m4
Area of the Section A = 1.9079 m2
Grade of Concrete = 45
Modulus of Elasticity of Concrete Ec = 3.400E+07 KN/m2 
o
Coefficient of thermal expansion of concrete a = 0.000012 C
Section Modulus at the top of Slab ZTS = 0.8407 m3
Section Modulus at the top of Girder ZTG = 1.2772 m3
Section Modulus at the bottom of Girder ZBG = 0.5188 m3
Temperature Rise Case
T1 o h1
= 17.8  C = 0.15 m
T2 o h2
= 4.0  C = 0.25 m
T3 o h3
= 2.1  C = 0.15 m

17.8 3.000 m
0.15 Stress 1.000 m
1 7262.4 0.225
2 4.0 0.25 1632.0 0.150 0.179

1.500 0.8
1.175
Y
0.2
3 0.15 856.8 0.25
2.1 0.8

Section of Girder at Span

Stress due to  Stress due to 
y Assuming End 
Height Stress b Force e Moment release of  release of  Final Stress Final Stress
Segment from top Restrained
Axial Force Moment
m KN/m2  m KN m m KNm KN/m2  KN/m2  KN/m2  KN/m2  t/m2 
1 0.150 7262.4 3.000 2001.24 0.059 0.599 1198.99 7262.40 ‐1291.85 ‐1584.30 4386.2 438.6
2 0.075 1632.0 3.000 312.12 0.185 0.473 147.63 1632.00 ‐1291.85 ‐1042.80 ‐702.7 ‐70.3
3 0.175 1142.4 1.000 99.96 0.283 0.375 37.48 1142.40 ‐1291.85
4 0.150 856.8 0.800 51.41 1.675 ‐1.017 ‐52.27 856.80 ‐1291.85 2567.18 2132.1 213.2
2464.73 1331.84
Temperature Fall Case

10.6 Stress h = 1.725 m


1 0.25 ‐4324.8
h1 T1 o
2 0.7 0.2 ‐285.6 = 0.250 m = 10.6  C
h2 T2 o
= 0.200 m = 0.7  C
h3 T3 o
= 0.200 m = 0.8  C
h4 T4 o
= 0.250 m = 6.6  C
0.825

3 0.8 0.2 ‐326.4


4 0.250 ‐2692.8
6.6

Stress due to  Stress due to 
y Assuming End 
Height Stress b Force e Moment release of  release of  Final Stress Final Stress
Segment from top Restrained
Axial Force Moment
m KN/m2  m KN m m KNm KN/m2  KN/m2  KN/m2  KN/m2  t/m2 
1 0.225 ‐4324.8 3.000 ‐1692.33 0.085 0.573 ‐969.68 ‐4324.80 1080.15 797.90 ‐2446.8 ‐244.7
2 0.025 ‐689.5 1.000 ‐12.19 0.236 0.423 ‐5.15 ‐689.52 1080.15 525.19 915.8 91.6
3 0.154 ‐285.6 1.000 ‐27.05 0.311 0.347 ‐9.40 ‐285.60 1080.15
4 0.046 ‐65.7 0.800 ‐1.21 0.419 0.239 ‐0.29 ‐65.69 1080.15
5 0.200 ‐326.4 0.800 ‐26.11 1.408 ‐0.750 19.58 ‐326.40 1080.15
4 0.250 ‐2692.8 0.800 ‐301.92 1.633 ‐0.974 294.18 ‐2692.80 1080.15 ‐1292.91 ‐2905.6 ‐290.6
‐2060.81 ‐670.76
Cable Profile
Es 195000 Area 18.772 angle 0.0000 rad 0
m 0.17 No of cables 6 z 0.4 0.1300
K 0.002 UTS 349.03 y 0.125 0.1300
Slip 6 mm elev 20 rn 60 (min 60)
plan 19
Cable No 1
Pleft 273.29 Pright 0.00 Length of Cable(Cut length) 25.211m
Sym 0 Xend 23.2 Extention (left) 171.8mm
Stage 2 Cable Bot Extention (right) 0.0mm
No of strands 1.000 No of cable 1.000 Emergence angle -4.004
Global Axis Y 0 23.2 Global Axis Z 0 23.2 Emergence angle 4.004
Elevation
Curve type Xstart Xend Ystart Yend Radius Cal Zend Yend
curv1 1 0 2.00 0.3 * 0.00 0.160 0.160
curv2 3 2.000 3.00 * 0.125 14.34 -1.000 0.125 0.125
curv3 1 3.000 20.2 0.125 0.125 0.00 0.000 0.125 0.125
curv4 3 20.2 21.2 0.125 * 14.30 -1.000 0.160 0.160
curv5 1 21.2 23.2 * 0.3 0.00 0.000 0.300 0.300
curv6 1 23.200 0.00 0.000 0.000 0.000
curv7 1 23.200 0.00 0.000 0.00 0.000
curv8 1 23.200 0.00 0.000 0.000 0.000
curv9 1 23.200 0.00 0.000 0.000 0.000
curv10 1 23.200 0.00 0.000 0.000 0.000
curv11 1 23.200 0.00 0.000 0.000 0.000
curv12 1 23.200 0.00 0.000 0.000 0.000
curv13 1 23.200 0.00 0.000 0.000 0.000
curv14 1 23.200 0.00 0.000 0.000 0.000
curv15 1 23.200 0.00 0.000 0.000 0.000
curv16 1 23.200 0.00 0.000 0.000 0.000
curv17 1 23.200 0.00 0.000 0.000 0.000
curv18 1 23.200 0.00 0.000 0.000 0.000
curv19 1 23.200 0.00 0.000 0.000 0.000
curv20 1 23.200 0.00 0.000 0.000 0.000

Plan
Curve type Xstart Xend Zstart Zend Radius Curve_len Zend Zend
curv1 1 0 23.200 -0.2 -0.2 0.00 -0.200 -0.200
curv2 1 23.200 0.00 0.000 0.000 0.000
curv3 1 23.200 0.00 0.000 0.000 0.000
curv4 1 23.200 0.00 0.000 0.000 0.000
curv5 1 23.200 0.00 0.000 0.000 0.000
curv6 1 23.200 0.00 0.000 0.000 0.000
curv7 1 23.200 0.00 0.000 0.00 0.000
curv8 1 23.200 0.00 0.000 0.000 0.000
curv9 1 23.200 0.00 0.000 0.000 0.000
curv10 1 23.200 0.00 0.000 0.000 0.000
curv11 1 23.200 0.00 0.000 0.000 0.000
curv12 1 23.200 0.00 0.000 0.000 0.000
curv13 1 23.200 0.00 0.000 0.000 0.000
curv14 1 23.200 0.00 0.000 0.000 0.000
curv15 1 23.200 0.00 0.000 0.000 0.000
curv16 1 23.200 0.00 0.000 0.000 0.000
curv17 1 23.200 0.00 0.000 0.000 0.000
curv18 1 23.200 0.00 0.000 0.000 0.000
curv19 1 23.200 0.00 0.000 0.000 0.000
Cable No 2
Pleft 273.290 Pright 0.000 Length of Cable(Cut length) 25.211m
Sym 0 Xend 23.2 Extention (left) 171.8mm
Stage 2 Cable Bot Extention (right) 0.0mm
No of strands 1.000 No of cable 1.000 Emergence angle -4.004
Global Axis Y 0 23.2 Global Axis Z 0 23.2 Emergence angle 4.004
Elevation
Curve type Xstart Xend Ystart Yend Radius Cal Zend Yend
curv1 1 0 2.00 0.3 * 0.00 0.160 0.160
curv2 3 2.000 3.00 * 0.125 14.34 -1.000 0.125 0.125
curv3 1 3.000 20.2 0.125 0.125 0.00 0.000 0.125 0.125
curv4 3 20.2 21.2 0.125 * 14.30 -1.000 0.160 0.160
curv5 1 21.2 23.2 * 0.3 0.00 0.000 0.300 0.300
curv6 1 23.200 0.00 0.000 0.000 0.000
curv7 1 23.200 0.00 0.000 0.00 0.000
curv8 1 23.200 0.00 0.000 0.000 0.000
curv9 1 23.200 0.00 0.000 0.000 0.000
curv10 1 23.200 0.00 0.000 0.000 0.000
curv11 1 23.200 0.00 0.000 0.000 0.000
curv12 1 23.200 0.00 0.000 0.000 0.000
curv13 1 23.200 0.00 0.000 0.000 0.000
curv14 1 23.200 0.00 0.000 0.000 0.000
curv15 1 23.200 0.00 0.000 0.000 0.000
curv16 1 23.200 0.00 0.000 0.000 0.000
curv17 1 23.200 0.00 0.000 0.000 0.000
curv18 1 23.200 0.00 0.000 0.000 0.000
curv19 1 23.200 0.00 0.000 0.000 0.000
curv20 1 23.200 0.00 0.000 0.000 0.000

Plan
Curve type Xstart Xend Zstart Zend Radius Curve_len Zend Zend
curv1 1 0 23.200 0.2 0.2 0.00 0.200 0.200
curv2 1 23.200 0.00 0.000 0.000 0.000
curv3 1 23.200 0.00 0.000 0.000 0.000
curv4 1 23.200 0.00 0.000 0.000 0.000
curv5 1 23.200 0.00 0.000 0.000 0.000
curv6 1 23.200 0.00 0.000 0.000 0.000
curv7 1 23.200 0.00 0.000 0.00 0.000
curv8 1 23.200 0.00 0.000 0.000 0.000
curv9 1 23.200 0.00 0.000 0.000 0.000
curv10 1 23.200 0.00 0.000 0.000 0.000
curv11 1 23.200 0.00 0.000 0.000 0.000
curv12 1 23.200 0.00 0.000 0.000 0.000
curv13 1 23.200 0.00 0.000 0.000 0.000
curv14 1 23.200 0.00 0.000 0.000 0.000
curv15 1 23.200 0.00 0.000 0.000 0.000
curv16 1 23.200 0.00 0.000 0.000 0.000
curv17 1 23.200 0.00 0.000 0.000 0.000
curv18 1 23.200 0.00 0.000 0.000 0.000
curv19 1 23.200 0.00 0.000 0.000 0.000
Cable No 3
Pleft 186.988 Pright 186.988 Length of Cable(Cut length) 25.268m
Sym 1 Xend 11.60 Extention (left) 90.0mm
Stage 1 Cable Bot Extention (right) 90.0mm
No of strands 0.684 No of cable 1.000 Emergence angle -5.210
Global Axis Y 0 11.6 Global Axis Z 0 11.6 Emergence angle 0.000
Elevation
Curve type Xstart Xend Ystart Yend Radius Cal Zend Yend
curv1 1 0 8.000 0.900 * 0.00 0.171 0.171
curv2 3 8.000 9.000 * 0.125 11.04 -1.000 0.125 0.125
curv3 1 9.000 11.600 0.125 0.125 0.00 0.000 0.125 0.125
curv4 1 11.600 0.00 0.000 0.000 0.000
curv5 1 11.600 0.00 0.000 0.000 0.000
curv6 1 11.600 0.00 0.000 0.000 0.000
curv7 1 11.600 0.00 0.000 0.00 0.000
curv8 1 11.600 0.00 0.000 0.000 0.000
curv9 1 11.600 0.00 0.000 0.000 0.000
curv10 1 11.600 0.00 0.000 0.000 0.000
curv11 1 11.600 0.00 0.000 0.000 0.000
curv12 1 11.600 0.00 0.000 0.000 0.000
curv13 1 11.600 0.00 0.000 0.000 0.000
curv14 1 11.600 0.00 0.000 0.000 0.000
curv15 1 11.600 0.00 0.000 0.000 0.000
curv16 1 11.600 0.00 0.000 0.000 0.000
curv17 1 11.600 0.00 0.000 0.000 0.000
curv18 1 11.600 0.00 0.000 0.000 0.000
curv19 1 11.600 0.00 0.000 0.000 0.000
curv20 1 11.600 0.00 0.000 0.000 0.000

Plan
Curve type Xstart Xend Zstart Zend Radius Curve_len Zend Zend
curv1 1 0 11.600 0 0 0.00 0.000 0.000
curv2 1 11.600 0.00 0.000 0.000 0.000
curv3 1 11.600 0.00 0.000 0.000 0.000
curv4 1 11.600 0.00 0.000 0.000 0.000
curv5 1 11.600 0.00 0.000 0.000 0.000
curv6 1 11.600 0.00 0.000 0.000 0.000
curv7 1 11.600 0.00 0.000 0.00 0.000
curv8 1 11.600 0.00 0.000 0.000 0.000
curv9 1 11.600 0.00 0.000 0.000 0.000
curv10 1 11.600 0.00 0.000 0.000 0.000
curv11 1 11.600 0.00 0.000 0.000 0.000
curv12 1 11.600 0.00 0.000 0.000 0.000
curv13 1 11.600 0.00 0.000 0.000 0.000
curv14 1 11.600 0.00 0.000 0.000 0.000
curv15 1 11.600 0.00 0.000 0.000 0.000
curv16 1 11.600 0.00 0.000 0.000 0.000
curv17 1 11.600 0.00 0.000 0.000 0.000
curv18 1 11.600 0.00 0.000 0.000 0.000
curv19 1 11.600 0.00 0.000 0.000 0.000
Cable forces after friction & slip Loss:‐
Cable 1&2
Section No Distance No of Cables YCG Hor. Force (t) Ver. Force (t)
1 0.001 1.0000 0.2999 245.4 -17.2
2 1.850 1.0000 0.1705 246.4 -17.3
3 3.163 1.0000 0.1250 251.0 0.0
4 5.975 1.0000 0.1250 252.5 0.0
5 8.788 1.0000 0.1250 254.0 0.0
6 11.600 1.0000 0.1250 255.5 0.0
7 14.412 1.0000 0.1250 256.9 00
0.0
8 17.225 1.0000 0.1250 258.4 0.0
9 20.037 1.0000 0.1250 259.4 0.0
10 21.350 1.0000 0.1705 255.1 17.9
11 23.200 1.0000 0.2999 254.1 17.8

Cable 3
Section No Distance No of Cables YCG Hor. Force (t) Ver. Force (t)
1 0.001 1.0000 0.8999 166.9 -15.221
2 1.850 1.0000 0.7313 167.6 -15.284
3 3.163 1.0000 0.6116 168.1 -15.329
4 5.975 1.0000 0.3552 169.2 -15.424
5 8 788
8.788 1 0000
1.0000 0 1271
0.1271 173 1
173.1 -3 358
-3.358
6 11.600 1.0000 0.1250 174.7 0.000
Cable Profile details:‐

X Cable no.
1 2 3
Y 300 300 900
0
Z ‐200 200 0
Y 230 230 809
1000
Z ‐200 200 0
Y 160 160 718
2000
Z ‐200 200 0
Y 125 125 626
3000
Z ‐200 200 0
Y 125 125 535
4000
Z ‐200 200 0
Y 125 125 444
5000
Z ‐200 200 0
Y 125 125 353
6000
Z ‐200 200 0
Y 125 125 262
7000
Z ‐200 200 0
Y 125 125 171
8000
Z ‐200 200 0
Y 125 125 125
9000
Z ‐200 200 0
Y 125 125 125
10000
Z ‐200 200 0
Y 125 125 125
11000
Z ‐200 200 0
Y 125 125 125
11600
Z ‐200 200 0
Compressive strength development with time :
(Refer : 6.4.2.2 of IRC:112-2011, Page:39) (Eq: 6.2 and 6.3)

fcm (t) = βcc (t) * fcm

fcm (t) = Mean concrete compressive strength at age 't' days.


fcm = Mean concrete compressive strength at age '28' days.
Refer Table 6.5 of IRC:112-2011

For, M 45 grade
fcm = 55 Mpa

βcc (t) = EXP [S*{1-(28*t1/t)^0.5}]

S= 0.25 for OPC and Rapid Hardening Cement


t1 = 1 day

t= 14 day (Assume)

fcm (t) = 49.59 Mpa

Compressive strength development with time : fcm (t) Mpa

fcm Day3 Day5 Day7 Day10 Day14 Day21 Day28


M35 45 26.92 31.98 35.05 38.03 40.57 43.29 45.00
M40 50 29.91 35.53 38.94 42.25 45.08 48.10 50.00
M45 55 32.90 39.08 42.83 46.48 49.59 52.91 55.00
M50 60 35.89 42.64 46.73 50.70 54.10 57.72 60.00
M55 65 38.89 46.19 50.62 54.93 58.61 62.53 65.00
M60 70 41.88 49.74 54.52 59.16 63.11 67.34 70.00

Tensile strength development with time :


(Refer : 6.4.2.3 of IRC:112-2011, Page:41) (Eq: 6.7)

fctm (t) = (βcc (t))^α * fctm

βcc (t) = EXP [S*{1-(28*t1/t)^0.5}]

S= 0.25 for OPC and Rapid Hardening Cement


t1 = 1 day

t= 14 day (Assume)

βcc (t) = 0.902


α= 1

For, M 45 grade
fctm = 3.3 Mpa
Refer Table 6.5 of IRC:112-2011

fctm (t) = 2.975 Mpa

Tensile strength development with time : fctm (t) Mpa

fctm Day3 Day5 Day7 Day10 Day14 Day21 Day28


M35 2.8 1.68 1.99 2.18 2.37 2.52 2.69 2.80
M40 3 1.79 2.13 2.34 2.54 2.70 2.89 3.00
M45 3.3 1.97 2.35 2.57 2.79 2.98 3.17 3.30
M50 3.5 2.09 2.49 2.73 2.96 3.16 3.37 3.50
M55 3.7 2.21 2.63 2.88 3.13 3.34 3.56 3.70
M60 4 2.39 2.84 3.12 3.38 3.61 3.85 4.00

Modulus of Elasticity for Concrete varying with time :


(Refer : 6.4.2.5 of IRC:112-2011, Page:44) (Eq: 6.10)

Ecm(t) = Ecm * [ fcm(t)/fcm ] ^0.3

Ecm(t) = Modulus of elasticity at time 't'.


Ecm = Secant modulus of elasticity. Refer Table 6.5 of IRC:112-2011

Ecm = 34 Gpa For M 45

Ecm(t) = 32.96 Gpa For t = 14

Modulus of Elasticity for Concrete varying with time : Ecm(t) Gpa

Ecm Day3 Day5 Day7 Day10 Day14 Day21 Day28


M35 32 27.4 28.9 29.7 30.4 31.0 31.6 32.0
M40 33 28.3 29.8 30.6 31.4 32.0 32.6 33.0
M45 34 29.1 30.7 31.5 32.3 33.0 33.6 34.0
M50 35 30.0 31.6 32.5 33.3 33.9 34.6 35.0
M55 36 30.9 32.5 33.4 34.2 34.9 35.6 36.0
M60 37 31.7 33.4 34.3 35.2 35.9 36.6 37.0
Shrinkage strain of concrete varying with time :
(Refer : 6.4.2.6 of IRC:112-2011, Page:44)

Total Shrinkage strain at 't' days = εcs (t) = εcd (t) + εca (t)

εca (t) = Autogenous shrinkage strain at 't' days

εca (t) = βas (t) * εca

βas (t) = 1 - EXP{-0.2*sqrt(t)} where 't' is in days

εca = Autogenous shrinkage strain to be taken from Table 6.6 of IRC:112-2011, Page:45

εcd (t) = Drying shrinkage strain at 't' days

εcd (t) = βds(t,ts) * Kh * εcd

Kh = factor depending upon 'ho' . to be taken from Table 6.7 of IRC:112-2011, Page:45
ho = notional size of the cross section in 'mm' = 2*Ac/ u
Ac = Concrete cross sectional area
u= Perimeter of the part of cross section exposed to drying.

εcd = Unrestrained drying shrinkage strain


to be taken from Table 6.8 of IRC:112-2011, Page:46

βds(t,ts) = (t-ts)
(t-ts) + 0.04*sqrt(ho^3)

t= age of concrete in days.


ts = age at beginning of drying shrinkage i.e end of curing.

Inputs :

Grade of concrete : M45


t= 28 days
εca = 0.000065 Table 6.6 of IRC:112-2011, Page:45
βas (t) = 0.652955
εca (t) = 0.000042

Ac = 1.44 m2
u= 10.02 m
ho = 287.4 mm
Kh = 0.75 Table 6.7 of IRC:112-2011, Page:45
ts = 7 days
βds(t,ts) = 0.09726
Relative humidity = 50 % (Assume)
εcd = 0.000443 Table 6.8 of IRC:112-2011, Page:46
εcd (t) = 0.000032

εcs (t) = 0.000075

Autogenous Shrinkage strain of concrete varying with time :

εca Day3 Day5 Day7 Day10 Day14 Day21 Day28 Day56 Day90 Day365 Day730 Day25550
M35 0.000045 1.3E-05 1.6E-05 1.8E-05 2.1E-05 2.4E-05 2.7E-05 2.9E-05 3.5E-05 3.8E-05 4.4E-05 4.5E-05 4.5E-05
M40 0.000055 1.6E-05 2.0E-05 2.3E-05 2.6E-05 2.9E-05 3.3E-05 3.6E-05 4.3E-05 4.7E-05 5.4E-05 5.5E-05 5.5E-05
M45 0.000065 1.9E-05 2.3E-05 2.7E-05 3.0E-05 3.4E-05 3.9E-05 4.2E-05 5.0E-05 5.5E-05 6.4E-05 6.5E-05 6.5E-05
M50 0.000075 2.2E-05 2.7E-05 3.1E-05 3.5E-05 4.0E-05 4.5E-05 4.9E-05 5.8E-05 6.4E-05 7.3E-05 7.5E-05 7.5E-05
M55 0.000085 2.5E-05 3.1E-05 3.5E-05 4.0E-05 4.5E-05 5.1E-05 5.6E-05 6.6E-05 7.2E-05 8.3E-05 8.5E-05 8.5E-05
M60 0.000095 2.8E-05 3.4E-05 3.9E-05 4.5E-05 5.0E-05 5.7E-05 6.2E-05 7.4E-05 8.1E-05 9.3E-05 9.5E-05 9.5E-05

Ac = 1.44 m2
u= 10.02 m
ho = 287.4 mm
Kh = 0.75 Table 6.7 of IRC:112-2011, Page:45
ts = 7 days
Relative humidity = 50 % (Assume)
εcd = Table 6.8 of IRC:112-2011, Page:46

Drying Shrinkage strain of concrete varying with time :

εcd Day3 Day5 Day7 Day10 Day14 Day21 Day28 Day56 Day90 Day365 Day730 Day25550
M35 0.000489 -7.7E-06 -3.8E-06 0.0E+00 5.6E-06 1.3E-05 2.5E-05 3.6E-05 7.4E-05 1.1E-04 2.4E-04 2.9E-04 3.6E-04
M40 0.000466 -7.3E-06 -3.6E-06 0.0E+00 5.3E-06 1.2E-05 2.3E-05 3.4E-05 7.0E-05 1.0E-04 2.3E-04 2.8E-04 3.5E-04
M45 0.000443 -7.0E-06 -3.4E-06 0.0E+00 5.0E-06 1.2E-05 2.2E-05 3.2E-05 6.7E-05 9.9E-05 2.2E-04 2.6E-04 3.3E-04
M50 0.000420 -6.6E-06 -3.3E-06 0.0E+00 4.8E-06 1.1E-05 2.1E-05 3.1E-05 6.3E-05 9.4E-05 2.0E-04 2.5E-04 3.1E-04
M55 0.000402 -6.3E-06 -3.1E-06 0.0E+00 4.6E-06 1.0E-05 2.0E-05 2.9E-05 6.1E-05 9.0E-05 2.0E-04 2.4E-04 3.0E-04
M60 0.000384 -6.0E-06 -3.0E-06 0.0E+00 4.4E-06 1.0E-05 1.9E-05 2.8E-05 5.8E-05 8.6E-05 1.9E-04 2.3E-04 2.9E-04
Total Shrinkage strain of concrete varying with time :

Day3 Day5 Day7 Day10 Day14 Day21 Day28 Day56 Day90 Day365 Day730 Day25550
M35 5.5E-06 1.2E-05 1.8E-05 2.7E-05 3.6E-05 5.2E-05 6.5E-05 1.1E-04 1.5E-04 2.8E-04 3.3E-04 4.1E-04
M40 8.8E-06 1.6E-05 2.3E-05 3.1E-05 4.1E-05 5.6E-05 7.0E-05 1.1E-04 1.5E-04 2.8E-04 3.3E-04 4.0E-04
M45 1.2E-05 2.0E-05 2.7E-05 3.6E-05 4.6E-05 6.1E-05 7.5E-05 1.2E-04 1.5E-04 2.8E-04 3.3E-04 3.9E-04
M50 1.5E-05 2.4E-05 3.1E-05 4.0E-05 5.0E-05 6.6E-05 8.0E-05 1.2E-04 1.6E-04 2.8E-04 3.2E-04 3.9E-04
M55 1.9E-05 2.8E-05 3.5E-05 4.4E-05 5.5E-05 7.1E-05 8.5E-05 1.3E-04 1.6E-04 2.8E-04 3.2E-04 3.8E-04
M60 2.2E-05 3.1E-05 3.9E-05 4.9E-05 6.0E-05 7.6E-05 9.0E-05 1.3E-04 1.7E-04 2.8E-04 3.2E-04 3.8E-04

Residual Shrinkage strain of concrete varying with time :

Day3 Day5 Day7 Day10 Day14 Day21 Day28 Day56 Day90 Day365 Day730 Day25550
M35 4.1E-04 4.0E-04 3.9E-04 3.9E-04 3.8E-04 3.6E-04 3.5E-04 3.0E-04 2.6E-04 1.3E-04 7.8E-05 2.8E-06
M40 4.0E-04 3.9E-04 3.8E-04 3.7E-04 3.6E-04 3.5E-04 3.3E-04 2.9E-04 2.5E-04 1.2E-04 7.4E-05 2.6E-06
M45 3.9E-04 3.8E-04 3.7E-04 3.6E-04 3.5E-04 3.4E-04 3.2E-04 2.8E-04 2.4E-04 1.2E-04 7.1E-05 2.5E-06
M50 3.7E-04 3.7E-04 3.6E-04 3.5E-04 3.4E-04 3.2E-04 3.1E-04 2.7E-04 2.3E-04 1.1E-04 6.7E-05 2.4E-06
M55 3.7E-04 3.6E-04 3.5E-04 3.4E-04 3.3E-04 3.2E-04 3.0E-04 2.6E-04 2.2E-04 1.1E-04 6.4E-05 2.3E-06
M60 3.6E-04 3.5E-04 3.4E-04 3.3E-04 3.2E-04 3.1E-04 2.9E-04 2.5E-04 2.2E-04 1.0E-04 6.2E-05 2.2E-06

Creep strain of concrete varying with time :


(Refer : 6.4.2.7 of IRC:112-2011, Page:46) ho = 287.4 mm
(Refer : Annex A2.5 of IRC:112-2011, Page:237) RH = 50 %
to = 14 days
Creep Coefficient Φ(t,t o) = Φo * βc(t,to) Annexure A-2.5 IRC112

Φo = Φ RH * β(fcm) * β(to)

βc(t,to) = [(t-to)/{(t-to) + βH}]^0.3

βH = 1.5*[1+(0.012*RH)^18]*ho+250 <= 1500 for fcm <= 35


1.5*[1+(0.012*RH)^18]*ho+250* α3 <= 1500*α3 for fcm >= 35

fcm α1 α2 α3 ΦRH β(fcm) β(to) Φo βH Ec (Mpa)


M35 45 0.980 0.994 0.986 1.75 2.80 0.557 2.72 677.7 32000
M40 50 0.911 0.974 0.935 1.66 2.66 0.557 2.45 665.0 33000
M45 55 0.852 0.955 0.892 1.58 2.53 0.557 2.23 654.2 34000
M50 60 0.802 0.939 0.854 1.52 2.42 0.557 2.05 644.7 35000
M55 65 0.758 0.924 0.820 1.46 2.33 0.557 1.90 636.3 36000
M60 70 0.720 0.910 0.791 1.42 2.24 0.557 1.77 628.8 37000

Creep Coefficient :

Day3 Day5 Day7 Day10 Day14 Day21 Day28 Day56 Day90 Day365 Day730 Day25550
M35 #NUM! #NUM! #NUM! #NUM! 0.0 0.7 0.8 1.2 1.4 2.0 2.2 2.7
Creep
M40 #NUM! #NUM! #NUM! #NUM! 0.0 0.6 0.8 1.1 1.2 1.8 2.0 2.4
Coeff
M45 #NUM! #NUM! #NUM! #NUM! 0.0 0.6 0.7 1.0 1.1 1.6 1.8 2.2
Φ(t,to) =
M50 #NUM! #NUM! #NUM! #NUM! 0.0 0.5 0.6 0.9 1.0 1.5 1.7 2.0
Φo *
M55 #NUM! #NUM! #NUM! #NUM! 0.0 0.5 0.6 0.8 1.0 1.4 1.6 1.9
βc(t,to)
M60 #NUM! #NUM! #NUM! #NUM! 0.0 0.5 0.6 0.8 0.9 1.3 1.5 1.8

Let initial stress = 10 Mpa

Total Creep Strain :

Initial Strain Day3 Day5 Day7 Day10 Day14 Day21 Day28 Day56 Day90 Day365 Day730 Day25550
M35 0.00031 #NUM! #NUM! #NUM! #NUM! 0.00E+00 2.15E-04 2.64E-04 3.63E-04 4.28E-04 6.17E-04 6.97E-04 8.45E-04
M40 0.00030 #NUM! #NUM! #NUM! #NUM! 0.00E+00 1.89E-04 2.32E-04 3.19E-04 3.75E-04 5.40E-04 6.10E-04 7.38E-04
M45 0.00029 #NUM! #NUM! #NUM! #NUM! 0.00E+00 1.68E-04 2.06E-04 2.83E-04 3.33E-04 4.79E-04 5.41E-04 6.52E-04
M50 0.00029 #NUM! #NUM! #NUM! #NUM! 0.00E+00 1.51E-04 1.85E-04 2.54E-04 2.99E-04 4.29E-04 4.84E-04 5.82E-04
M55 0.00028 #NUM! #NUM! #NUM! #NUM! 0.00E+00 1.36E-04 1.67E-04 2.29E-04 2.70E-04 3.87E-04 4.36E-04 5.24E-04
M60 0.00027 #NUM! #NUM! #NUM! #NUM! 0.00E+00 1.24E-04 1.52E-04 2.08E-04 2.45E-04 3.52E-04 3.96E-04 4.75E-04

Residual Creep Strain :

Day3 Day5 Day7 Day10 Day14 Day21 Day28 Day56 Day90 Day365 Day730 Day25550
M35 #NUM! #NUM! #NUM! #NUM! 8.45E-04 6.29E-04 5.81E-04 4.82E-04 4.17E-04 2.28E-04 1.48E-04 0.00E+00
M40 #NUM! #NUM! #NUM! #NUM! 7.38E-04 5.49E-04 5.06E-04 4.19E-04 3.62E-04 1.97E-04 1.27E-04 0.00E+00
M45 #NUM! #NUM! #NUM! #NUM! 6.52E-04 4.84E-04 4.46E-04 3.69E-04 3.19E-04 1.73E-04 1.11E-04 0.00E+00
M50 #NUM! #NUM! #NUM! #NUM! 5.82E-04 4.32E-04 3.97E-04 3.28E-04 2.83E-04 1.53E-04 9.84E-05 0.00E+00
M55 #NUM! #NUM! #NUM! #NUM! 5.24E-04 3.88E-04 3.57E-04 2.95E-04 2.54E-04 1.37E-04 8.78E-05 0.00E+00
M60 #NUM! #NUM! #NUM! #NUM! 4.75E-04 3.51E-04 3.23E-04 2.67E-04 2.30E-04 1.23E-04 7.90E-05 0.00E+00
Stress Check for Inner Girder
Basic Design Data

Increased Factor for Applied Prestressing Force 1


Characteristics value of prestressing (Construction Stage) 1.0
Characteristics value of prestressing (Inferior) 0.9
Characteristics value of prestressing (Superior) 1.1

1st stage prestressing 21 day


2nd stage prestressing 28 day
Casting of Deck Slab 28 day
3rd stage prestressing 56 day
Shift of Bearing 56 day
SIDL(Wearing Coat & Crash Barrier) 56 day
Age of deck slab at time of 3rd stage 28 day

Fck 45000 KN/m2


Modulus of Elasticity (Conc) 21th Day 3.36E+07 KN/m2
Modulus of Elasticity (Conc) 28th Day 3.40E+07 KN/m2
Modulus of Elasticity (Conc) 28th Day 3.40E+07 KN/m2
Modulus of Elasticity (Conc) 56th Day 3.48E+07 KN/m2
Modulus of Elasticity (Strands) 1.95E+08 KN/m2

Type of cables 19 T13


Area of 1 strand 0.0000988 m2
Area of one cable 1.8772E-03 m2
no of cables stressed in 1st stage 2.684
no of cables stressed in 2nd stage 0.00
no of tendons stressed in 3rd stage 0.00
Jacking Force 0.783 *UTS
No of Sections to be checked 11
Prestressing force per cable (UTS) 3,490.3 KN

Increase Factors for losses


Elastic Shortening loss 1.0
Relaxation loss 1.0
Shrinkage loss 1.0
Creep loss 1.0

Factor for Shrinkage loss


21th day 3.40E-04
28th day 3.20E-04
56th day 2.80E-04
56th day 2.80E-04
56th day 2.80E-04
Infinity 2.40E-04

Factor for Creep Loss


21th day 4.84E-04
28th day 4.46E-04
56th day 3.69E-04
56th day 3.69E-04
56th day 3.69E-04
Infinity 3.19E-04

Factor for Relaxation Loss


1000hr relaxation 2.50%

Strain due to differential shrinkage and creep 8.00E-05


Reduction factor due to differential creep 0.43
PSC BEAM AND RC SLAB STRUCTURE OF SIMPLY SUPPORTED SPAN

Item Unit 1 2 3 4 5 6 7 8 9 10 11
MEMBER NO
Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of Section property (Individual Beam Section)


Area of the section m2 1.2329 1.2329 0.7650 0.7650 0.7650 0.7650 0.7650 0.7650 0.7650 1.2329 1.2329
Depth of the section m 1.5000 1.5000 1.5000 1.5000 1.5000 1.5000 1.5000 1.5000 1.5000 1.5000 1.5000
CG of section from bottom m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
4
Moment of Inertia of section m 0.2393 0.2393 0.2025 0.2025 0.2025 0.2025 0.2025 0.2025 0.2025 0.2393 0.2393

Details of Section property (Composite Section)


2
Area of the section m 1.9079 1.9079 1.4400 1.4400 1.4400 1.4400 1.4400 1.4400 1.4400 1.9079 1.9079
Depth of the section m 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250
CG of section from bottom m 1.0667 1.0667 1.1480 1.1480 1.1480 1.1480 1.1480 1.1480 1.1480 1.0667 1.0667
4
Moment of Inertia of section m 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534

Details of Section property (Composite Section)


2
Area of the section m 1.9079 1.9079 1.4400 1.4400 1.4400 1.4400 1.4400 1.4400 1.4400 1.9079 1.9079
Depth of the section m 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250 1.7250
CG of section from bottom m 1.0667 1.0667 1.1480 1.1480 1.1480 1.1480 1.1480 1.1480 1.1480 1.0667 1.0667
4
Moment of Inertia of section m 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534

Details of Stage I prestressing after 21 day For Cable 1a


Prestressing Force (P1) (Hor) KN 2454.00 2464.00 2510.00 2525.00 2540.00 2555.00 2569.00 2584.00 2594.00 2551.00 2541.00
CG of Tendons from Bottom m 0.300 0.171 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.171 0.300
Prestressing Force (P1) (Ver) KN 172.00 173.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 179.00 178.00

Details of Stage I prestressing after 21 day For Cable 1b


Prestressing Force (P1) (Hor) KN 2541.00 2551.00 2594.00 2584.00 2569.00 2555.00 2540.00 2525.00 2510.00 2464.00 2454.00
CG of Tendons from Bottom m 0.300 0.171 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.171 0.300
Prestressing Force (P1) (Ver) KN 178.00 179.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 173.00 172.00

Details of Stage I prestressing after 21 day For Cable 1c


Prestressing Force (P1) (Hor) KN 1669.47 1676.32 1681.11 1691.37 1731.05 1747.47 1731.05 1691.37 1681.11 1676.32 1669.47
CG of Tendons from Bottom m 0.900 0.731 0.612 0.355 0.127 0.125 0.127 0.355 0.612 0.731 0.900
Prestressing Force (P1) (Ver) KN 152.21 152.84 153.29 154.24 33.58 0.00 33.58 154.24 153.29 152.84 152.21

Details of Stage I prestressing after 21 day For Cable 1d


Prestressing Force (P1) (Hor) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) (Ver) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Details of Stage I prestressing after 21 day For Cable 1e


Prestressing Force (P1) (Hor) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) (Ver) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Details of Stage II prestressing after 28 day For Cable 2a


Prestressing Force (P2) (Hor) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.00 0.00 0.00 0.00 0.00 0.00 0.000 0.000 0.000 0.000 0.000
Prestressing Force (P2) (Ver) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Details of Stage II prestressing after 28 day For Cable 2b


Prestressing Force (P2) (Hor) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.00 0.00 0.00 0.00 0.00 0.00 0.000 0.000 0.000 0.000 0.000
Prestressing Force (P2) (Ver) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Details of Stage II prestressing after 28 day For Cable 2c


Prestressing Force (P2) (Hor) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.00 0.00 0.00 0.00 0.00 0.00 0.000 0.000 0.000 0.000 0.000
Prestressing Force (P2) (Ver) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
PSC BEAM AND RC SLAB STRUCTURE OF SIMPLY SUPPORTED SPAN

Item Unit 1 2 3 4 5 6 7 8 9 10 11
MEMBER NO
Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200
Details of Stage II prestressing after 28 day For Cable 2d
Prestressing Force (P2) (Hor) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P2) (Ver) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Details of Stage II prestressing after 28 day For Cable 2e


Prestressing Force (P2) (Hor) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P2) (Ver) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Details of Stage III prestressing after 56th day


Prestressing Force (P3) (Hor) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P3) (Ver) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Dead Load - Ist stage


Moments KNm 0.0 323.5 560.1 938.1 1164.5 1239.6 1164.5 938.1 560.1 323.5 0.0
Shear KN 251.2 195.5 161.7 107.8 54.0 0.0 54.0 107.8 161.7 195.5 251.2

Construction load
Moments KNm 0.0 196.9 347.3 596.4 745.9 795.8 745.9 596.4 347.3 196.9 0.0
shear KN 148.1 122.9 106.3 70.9 35.4 0.0 35.4 70.9 106.3 122.9 148.1
Dead Load - 2nd stage
Moments KNm 0.0 263.8 465.2 799.0 999.3 1066.1 999.3 799.0 465.2 263.8 0.0
Shear KN 223.3 164.6 142.4 95.0 47.8 0.0 47.8 95.0 142.4 164.6 223.3

SIDL
Moments KNm 0.0 108.5 192.7 346.5 448.0 483.3 448.0 346.5 192.7 108.5 0.0
Shear KN 105.6 68.1 63.1 46.2 27.6 0.4 27.6 46.2 63.1 68.1 105.6

Live Load (Sagging) (max Moment Case & max Positive Shear case)
Moments KNm 0.0 646.1 1212.6 1930.4 2327.1 2445.0 2327.1 1930.4 1212.6 646.1 0.0
Shear KN 438.2 431.6 431.6 336.4 270.1 216.8 270.1 336.4 431.6 431.6 438.2

Stress due to Temp (Rise) (Eigen stresses)


2
top of deck slab KN/m 4386.20 4386.20 4189.30 4189.30 4189.30 4189.30 4189.30 4189.30 4189.30 4386.20 4386.20
2
top of girder KN/m -702.70 -702.70 -910.20 -910.20 -910.20 -910.20 -910.20 -910.20 -910.20 -702.70 -702.70
2
bottom KN/m 2132.20 2132.20 1854.10 1854.10 1854.10 1854.10 1854.10 1854.10 1854.10 2132.20 2132.20

Stress due to Temp (Fall) (Eigen Stresses)


2
top of deck slab KN/m -2446.80 -2446.80 -2285.60 -2285.60 -2285.60 -2285.60 -2285.60 -2285.60 -2285.60 -2446.80 -2446.80
2
top of girder KN/m 915.80 915.80 1110.30 1110.30 1110.30 1110.30 1110.30 1110.30 1110.30 915.80 915.80
2
bottom KN/m -2905.60 -2905.60 -2488.40 -2488.40 -2488.40 -2488.40 -2488.40 -2488.40 -2488.40 -2905.60 -2905.60

Vertical Wind Load


Moments KNm 0.0 92.5 164.0 280.7 350.1 373.2 350.1 280.7 164.0 92.5 0.0
Shear KN 67.4 58.4 50.5 33.0 16.3 0.0 16.3 33.0 50.5 58.4 67.4

Vertical Seismic Load


Moments KNm 0.0 86.5 152.3 259.3 323.5 345.0 323.5 259.3 152.3 86.5 0.0
Shear KN 63.2 53.9 46.5 31.0 15.8 0.6 15.8 31.0 46.5 53.9 63.2
Stress Check at Construction Stage :
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of Section property (Individual Beam Section)

Area of the section m2 1.2329 1.2329 0.765 0.765 0.765 0.765 0.765 0.765 0.765 1.2329 1.2329
Depth of the section m 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500
CG of section from bottom m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Inertia of section m4 0.2393 0.2393 0.2025 0.2025 0.2025 0.2025 0.2025 0.2025 0.2025 0.2393 0.2393
Top Section Modulus m3 0.3268 0.3268 0.2658 0.2658 0.2658 0.2658 0.2658 0.2658 0.2658 0.3268 0.3268
Bottom Section Modulus m3 0.3117 0.3117 0.2744 0.2744 0.2744 0.2744 0.2744 0.2744 0.2744 0.3117 0.3117

Details of Section property (Composite Section) (28 day old slab)

Area of the section m2 1.9079 1.9079 1.44 1.44 1.44 1.44 1.44 1.44 1.44 1.9079 1.9079
Depth of the section m 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
CG of section from bottom m 1.0667 1.0667 1.148 1.148 1.148 1.148 1.148 1.148 1.148 1.0667 1.0667
Inertia of section m4 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
Top Section Modulus m3 0.8407 0.8407 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8407 0.8407
Bottom Section Modulus m3 0.5188 0.5188 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.5188 0.5188

Details of Section property (Composite Section)

Area of the section m2 1.9079 1.9079 1.44 1.44 1.44 1.44 1.44 1.44 1.44 1.9079 1.9079
Depth of the section m 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
CG of section from bottom m 1.0667 1.0667 1.148 1.148 1.148 1.148 1.148 1.148 1.148 1.0667 1.0667
Inertia of section m4 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
Top Section Modulus m3 0.8407 0.8407 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8407 0.8407
Bottom Section Modulus m3 0.5188 0.5188 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.5188 0.5188

Details of Stage I prestressing


For Cable 1a
No of Tendons of 19T13 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
Prestressing Force (P1) KN 2454.00 2464.00 2510.00 2525.00 2540.00 2555.00 2569.00 2584.00 2594.00 2551.00 2541.00
CG of Tendons from Bottom m 0.3000 0.1705 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1705 0.3000
Eccentricity of Tendons m 0.4678 0.5973 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.5973 0.4678
Prestressing Factor (Top) -0.6203 -1.0165 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -1.0165 -0.6203
Prestressing Factor (Bottom) 2.3120 2.7275 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 2.7275 2.3120

For Cable 1b
No of Tendons of 19T13 1.000 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
Prestressing Force (P1) KN 2541.00 2551.00 2594.00 2584.00 2569.00 2555.00 2540.00 2525.00 2510.00 2464.00 2454.00
CG of Tendons from Bottom m 0.3000 0.1705 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1705 0.3000
Eccentricity of Tendons m 0.4678 0.5973 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.5973 0.4678
Prestressing Factor (Top) -0.6203 -1.0165 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -1.0165 -0.6203
Prestressing Factor (Bottom) 2.3120 2.7275 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 2.7275 2.3120

For Cable 1c
No of Tendons of 19T13 0.684 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68
Prestressing Force (P1) KN 1669.47 1676.32 1681.11 1691.37 1731.05 1747.47 1731.05 1691.37 1681.11 1676.32 1669.47
CG of Tendons from Bottom m 0.9000 0.7313 0.6116 0.3552 0.1271 0.1250 0.1271 0.3552 0.6116 0.7313 0.9000
Eccentricity of Tendons m -0.1322 0.0365 0.1265 0.3829 0.6110 0.6131 0.6110 0.3829 0.1265 0.0365 -0.1322
Prestressing Factor (Top) 1.2156 0.6994 0.8312 -0.1335 -0.9917 -0.9996 -0.9917 -0.1335 0.8312 0.6994 1.2156
Prestressing Factor (Bottom) 0.3869 0.9282 1.7683 2.7028 3.5342 3.5419 3.5342 2.7028 1.7683 0.9282 0.3869

For Cable 1d
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 1e
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Combination of Stage 1 Cables


No of Tendons of 19T13 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68
Prestressing Force (P1) KN 6664.5 6691.3 6785.1 6800.4 6840.1 6857.5 6840.1 6800.4 6785.1 6691.3 6664.5
CG of Tendons from Bottom m 0.4503 0.3110 0.2456 0.1823 0.1255 0.1250 0.1255 0.1823 0.2456 0.3110 0.4503
Eccentricity of Tendons m 0.3175 0.4568 0.4925 0.5558 0.6126 0.6131 0.6126 0.5558 0.4925 0.4568 0.3175
Prestressing Factor (Top) -0.1604 -0.5866 -0.5460 -0.7842 -0.9976 -0.9996 -0.9976 -0.7842 -0.5460 -0.5866 -0.1604
Prestressing Factor (Bottom) 1.8298 2.2768 3.1025 3.3332 3.5400 3.5419 3.5400 3.3332 3.1025 2.2768 1.8298

Dead Load Moments - Ist stage Tm 0.0 323.5 560.1 938.1 1164.5 1239.6 1164.5 938.1 560.1 323.5 0.0

Stress Due to dead load


Top T/m2 0.0 989.8 2107.5 3529.5 4381.4 4664.0 4381.4 3529.5 2107.5 989.8 0.0
Bottom T/m2 0.0 -1037.9 -2041.6 -3419.2 -4244.6 -4518.3 -4244.6 -3419.2 -2041.6 -1037.9 0.0

Eloss of cable (1a) for stressing of (1a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1a) for stressing of (1b) KN 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79
Eloss of cable (1a) for stressing of (1c) KN 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82
Eloss of cable (1a) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1a) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1c) KN 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82
Eloss of cable (1b) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1d) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1d) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1e) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 1 cables KN 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42

Stress after stressing of 1a


Top KN/m2 -1522.1 -1514.9 -401.5 1005.6 1842.5 2110.1 1813.5 946.6 -485.4 -1603.3 -1576.1
B
Bottom KN/m2
KN/ 5673 8
5673.8 5682 8
5682.8 6848 5
6848.5 5524 1
5524.1 4751 9
4751.9 4531 2
4531.2 4854 6
4854.6 5733 0
5733.0 7146 1 5920.1
7146.1 5920 1 5874.9
5874 9
Stress at CG of 1a KN/m2 4234.6 4864.6 6244.4 5147.5 4509.4 4329.5 4601.2 5334.2 6510.1 5064.9 4384.7
Avg stress for each segment KN/m2 4549.62 5554.51 5695.94 4828.47 4419.44 4465.31 4967.66 5922.13 5787.51 4724.81 0.00
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1a KN/m2 5054.30

Stress after stressing of 1b


Top KN/m2 -3049.3 -4027.9 -2915.6 -1498.6 -646.7 -365.1 -646.7 -1498.6 -2915.6 -4027.9 -3049.3
Bottom KN/m2 11366.5 12425.9 15757.2 14397.3 13572.0 13301.7 13572.0 14397.3 15757.2 12425.9 11366.5
Stress at CG of 1a KN/m2 8483.3 10555.6 14201.1 13072.6 12387.1 12162.8 12387.1 13072.6 14201.1 10555.6 8483.3
Avg stress for each segment KN/m2 9519.5 12378.4 13636.9 12729.8 12274.9 12274.9 12729.8 13636.9 12378.4 9519.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 7233.40
Stress at CG of 1b KN/m2 8483.3 10555.6 14201.1 13072.6 12387.1 12162.8 12387.1 13072.6 14201.1 10555.6 8483.3
Avg stress for each segment KN/m2 9519.5 12378.4 13636.9 12729.8 12274.9 12274.9 12729.8 13636.9 12378.4 9519.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1b KN/m2 12287.70
Check Eloss of cable (1a) for (1b) KN 78.79

Stress after stressing of 1c


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 3564.02
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Increase in Average Stress at CG of 1b KN/m2 3564.02


Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1c KN/m2 12688.25
Check Eloss of cable (1a) for (1c) KN 38.82
Check Eloss of cable (1b) for (1c) KN 38.82

Stress after stressing of 1d


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 0.00
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1b KN/m2 0.00
Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1c KN/m2 0.00
Stress at CG of 1d KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1d KN/m2 17671.20
Check Eloss of cable (1a) for (1d) KN 0.00
Check Eloss of cable (1b) for (1d) KN 0.00
Check Eloss of cable (1c) for (1d) KN 0.00

Stress after stressing of 1e


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 0.00
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1b KN/m2 0.00
Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1c KN/m2 0.00
Stress at CG of 1d KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1d KN/m2 0.00
Stress at CG of 1e KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1e KN/m2 17671.20
Check Eloss of cable (1a) for (1e) KN 0.00
Check Eloss of cable (1b) for (1e) KN 0.00
Check Eloss of cable (1c) for (1e) KN 0.00
Check Eloss of cable (1d) for (1e) KN 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of Stage1 Cables


Top KN/m2 -1043.7 -2843.8 -1511.6 -1680.4 -2286.0 -2034.2 -2286.0 -1680.4 -1511.6 -2843.8 -1043.7
Bottom KN/m2 11908.4 13840.6 18523.6 18726.4 19415.2 19216.1 19415.2 18726.4 18523.6 13840.6 11908.4

Maximum permissible compressive stress KN/m2 20597


Maximum permissible tensile stress KN/m2 -3170
OK
OK
Stress at CG of cable 1a KN/m2 9318.0 11944.1 16854.0 17025.9 17606.8 17445.3 17606.8 17025.9 16854.0 11944.1 9318.0
Stress at CG of cable 1b KN/m2 9318.0 11944.1 16854.0 17025.9 17606.8 17445.3 17606.8 17025.9 16854.0 11944.1 9318.0
Stress at CG of cable 1c KN/m2 4137.1 5706.4 10354.6 13894.1 17576.4 17445.3 17576.4 13894.1 10354.6 5706.4 4137.1
Stress at CG of cable 1d KN/m2 11908.4 13840.6 18523.6 18726.4 19415.2 19216.1 19415.2 18726.4 18523.6 13840.6 11908.4
Stress at CG of cable 1e KN/m2 11908.4 13840.6 18523.6 18726.4 19415.2 19216.1 19415.2 18726.4 18523.6 13840.6 11908.4

Losses From 21 to 28 day

Creep loss due to GR I Tendons KN 54.15 54.15 54.15 54.15 54.15 54.15 54.15 54.15 54.15 54.15 54.15
Shrinkage loss due to GR I Tendons KN 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65
=(0.00034-0.00032)*2.684*0.0018772*195000000*1
Relaxation loss due to GR I Tendons
Relaxation factor =
=((28-21) * 24/1000)^0.143 0.775
Relaxation loss due to GR I Tendons KN 138.33 140.37 147.48 148.64 151.65 152.97 151.65 148.64 147.48 140.37 138.33
=0.775*(1-(0.7-(1*(6664.47368441053-156.42)/(2.684*3,490.3)))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1

Total Loss (C+S+R) KN 212.14 214.17 221.29 222.44 225.45 226.78 225.45 222.44 221.29 214.17 212.14

Stress Due to C+S+R


Top KN/m2 34.0 125.6 120.8 174.4 224.9 226.7 224.9 174.4 120.8 125.6 34.0
Bottom KN/m2 -388.2 -487.6 -686.5 -741.5 -798.1 -803.2 -798.1 -741.5 -686.5 -487.6 -388.2

Stress before stressing of GR II cables at 28 day


Top KN/m2 -1009.7 -2718.1 -1390.8 -1506.0 -2061.1 -1807.5 -2061.1 -1506.0 -1390.8 -2718.1 -1009.7
Bottom KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2

Maximum permissible compressive stress KN/m2 21600


Maximum permissible tensile stress KN/m2 -3300
OK
OK
Stress at CG of Stage 1 Cables KN/m2 7758.7 10021.0 14689.3 15616.8 16886.6 16727.9 16886.6 15616.8 14689.3 10021.0 7758.7
Stress at CG of Stage 2 Cables KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2

Avg stress for each segment KN/m2 8889.9 12355.1 15153.0 16251.7 16807.2 16807.2 16251.7 15153.0 12355.1 8889.9 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 1 Cables KN/m2 14505.04
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 2 Cables KN/m2 17016.90

Creep loss (check) KN 54.15


=(0.000484-0.000446)*2.684*0.0018772*195000000*1*14,505.04/10000
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of Stage 2 prestressing

For Cable 2a
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2b
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2c
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2d
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2e
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

Combination of Stage 2 Cables


No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

Eloss of Stage 1 cables for stressing of (2a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2d) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2d) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2e) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 1 cables KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 2 cables KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of 2a


Top KN/m2 -1009.7 -2718.1 -1390.8 -1506.0 -2061.1 -1807.5 -2061.1 -1506.0 -1390.8 -2718.1 -1009.7
Bottom KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Stress at CG of Stage 1 Cables KN/m2 7758.7 10021.0 14689.3 15616.8 16886.6 16727.9 16886.6 15616.8 14689.3 10021.0 7758.7
Avg stress for each segment KN/m2 8889.9 12355.1 15153.0 16251.7 16807.2 16807.2 16251.7 15153.0 12355.1 8889.9 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2a KN/m2 17016.90
Check Eloss of Stage 1 cables for (2a) KN 0.00

Stress after stressing of 2b


Top KN/m2 -1009.7 -2718.1 -1390.8 -1506.0 -2061.1 -1807.5 -2061.1 -1506.0 -1390.8 -2718.1 -1009.7
Bottom KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Stress at CG of Stage 1 Cables KN/m2 7758.7 10021.0 14689.3 15616.8 16886.6 16727.9 16886.6 15616.8 14689.3 10021.0 7758.7
Avg stress for each segment KN/m2 8889.9 12355.1 15153.0 16251.7 16807.2 16807.2 16251.7 15153.0 12355.1 8889.9 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2b 0.00
Stress at CG of 2b KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2b KN/m2 17016.90
Check Eloss of Stage 1 cables for (2b) KN 0.00
Check Eloss of Cable (2a) for (2b) KN 0.00

Stress after stressing of 2c


Top KN/m2 -1009.7 -2718.1 -1390.8 -1506.0 -2061.1 -1807.5 -2061.1 -1506.0 -1390.8 -2718.1 -1009.7
Bottom KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Stress at CG of Stage 1 Cables KN/m2 7758.7 10021.0 14689.3 15616.8 16886.6 16727.9 16886.6 15616.8 14689.3 10021.0 7758.7
Avg stress for each segment KN/m2 8889.9 12355.1 15153.0 16251.7 16807.2 16807.2 16251.7 15153.0 12355.1 8889.9 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2c 0.00
Stress at CG of 2b KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2c 0.00
Stress at CG of 2c KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2c KN/m2 17016.90
Check Eloss of Stage 1 cables for (2c) KN 0.00
Check Eloss of Cable (2a) for (2c) KN 0.00
Check Eloss of Cable (2b) for (2c) KN 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of 2d


Top KN/m2 -1009.7 -2718.1 -1390.8 -1506.0 -2061.1 -1807.5 -2061.1 -1506.0 -1390.8 -2718.1 -1009.7
Bottom KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Stress at CG of Stage 1 Cables KN/m2 7758.7 10021.0 14689.3 15616.8 16886.6 16727.9 16886.6 15616.8 14689.3 10021.0 7758.7
Avg stress for each segment KN/m2 8889.9 12355.1 15153.0 16251.7 16807.2 16807.2 16251.7 15153.0 12355.1 8889.9 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2d 0.00
Stress at CG of 2b KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2d 0.00
Stress at CG of 2c KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2c for 2d 0.00
Stress at CG of 2d KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2d KN/m2 17016.90
Check Eloss of Stage 1 cables for (2d) KN 0.00
Check Eloss of Cable (2a) for (2d) KN 0.00
Check Eloss of Cable ((2b)) for (2d)
( ) KN 0.00
Check Eloss of Cable (2c) for (2d) KN 0.00

Stress after stressing of 2e


Top KN/m2 -1009.7 -2718.1 -1390.8 -1506.0 -2061.1 -1807.5 -2061.1 -1506.0 -1390.8 -2718.1 -1009.7
Bottom KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Stress at CG of Stage 1 Cables KN/m2 7758.7 10021.0 14689.3 15616.8 16886.6 16727.9 16886.6 15616.8 14689.3 10021.0 7758.7
Avg stress for each segment KN/m2 8889.9 12355.1 15153.0 16251.7 16807.2 16807.2 16251.7 15153.0 12355.1 8889.9 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2e 0.00
Stress at CG of 2b KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2e 0.00
Stress at CG of 2c KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2c for 2e 0.00
Stress at CG of 2d KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2d for 2e 0.00
Stress at CG of 2e KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2e KN/m2 17016.90
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Check Eloss of Stage 1 cables for (2e) KN 0.00


Check Eloss of Cable (2a) for (2e) KN 0.00
Check Eloss of Cable (2b) for (2e) KN 0.00
Check Eloss of Cable (2c) for (2e) KN 0.00
Check Eloss of Cable (2d) for (2e) KN 0.00

Stress after stressing of Stage2 Cables


Top KN/m2 -1009.7 -2718.1 -1390.8 -1506.0 -2061.1 -1807.5 -2061.1 -1506.0 -1390.8 -2718.1 -1009.7
Bottom KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2

Maximum permissible compressive stress KN/m2 21600


Maximum permissible tensile stress KN/m2 -3300
OK
OK
Stress at CG of Stage 1 Cables KN/m2 7758.7 10021.0 14689.3 15616.8 16886.6 16727.9 16886.6 15616.8 14689.3 10021.0 7758.7
Stress at CG of Stage 2 Cables KN/m2 11520.2 13353.0 17837.0 17985.0 18617.1 18412.9 18617.1 17985.0 17837.0 13353.0 11520.2

Avg stress for each segment KN/m2 8889.9 12355.1 15153.0 16251.7 16807.2 16807.2 16251.7 15153.0 12355.1 8889.9 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 1 Cables KN/m2 14505.04
Avg stress for each segment KN/m2 12436.6 15595.0 17911.0 18301.1 18515.0 18515.0 18301.1 17911.0 15595.0 12436.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 2 Cables KN/m2 17016.90

Shuttering Load Moments KNm 0.00 196.88 347.26 596.43 745.93 795.77 745.93 596.43 347.26 196.88 0.00
Stress due to shuttering load (for casting of Deck Slab)
Top KN/m2 0.0 602.4 1306.6 2244.0 2806.5 2994.1 2806.5 2244.0 1306.6 602.4 0.0
Bottom KN/m2 0.0 -631.7 -1265.7 -2174.0 -2718.9 -2900.5 -2718.9 -2174.0 -1265.7 -631.7 0.0

Dead
D dLLoad
dM Momentst -IInd
II d stage
t KN
KNm 00
0.0 263 8
263.8 465 2
465.2 799 0
799.0 999 3
999.3 1066 1
1066.1 999 3
999.3 799 0
799.0 465 2
465.2 263 8
263.8 00
0.0
Stress Due to dead load
Top KN/m2 0.0 807.0 1750.4 3006.3 3759.9 4011.1 3759.9 3006.3 1750.4 807.0 0.0
Bottom KN/m2 0.0 -846.2 -1695.7 -2912.4 -3642.5 -3885.8 -3642.5 -2912.4 -1695.7 -846.2 0.0

Stress at CG of GR I Tendons KN/m2 0.0 -503.5 -1131.5 -2193.3 -3023.0 -3227.7 -3023.0 -2193.3 -1131.5 -503.5 0.0
Stress at CG of GR II Tendons KN/m2 0.0 -846.2 -1695.7 -2912.4 -3642.5 -3885.8 -3642.5 -2912.4 -1695.7 -846.2 0.0

Stress due to release of shuttering load


Top KN/m2 0.0 -234.2 -417.9 -717.7 -897.6 -957.6 -897.6 -717.7 -417.9 -234.2 0.0
Top of Girder KN/m2 0.00 -154.15 -254.92 -437.84 -547.59 -584.17 -547.59 -437.84 -254.92 -154.15 0.00
Bottom KN/m2 0.00 379.49 831.40 1427.95 1785.88 1905.20 1785.88 1427.95 831.40 379.49 0.00

Stress after release of shuttering load


Top of Deck Slab KN/m2 0.0 -234.2 -417.9 -717.7 -897.6 -957.6 -897.6 -717.7 -417.9 -234.2 0.0
Top of Girder KN/m2 -1009.7 -1462.9 1411.2 3306.5 3957.7 4613.5 3957.7 3306.5 1411.2 -1462.9 -1009.7
Bottom KN/m2 11520.2 12254.5 15707.0 14326.6 14041.7 13531.8 14041.7 14326.6 15707.0 12254.5 11520.2

Maximum permissible compressive stress KN/m2 21600


Maximum permissible tensile stress KN/m2 -3300
OK
OK
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Losses from 28 to 56 day

Creep Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Shrinkage Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
=(0.000320-0.000280)*0.00*0.0018772*195000000*1
Relaxation Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Creep Loss of Gr I Tendons KN 89.01 89.01 89.01 89.01 89.01 89.01 89.01 89.01 89.01 89.01 89.01
Shrinkage loss of Gr I Tendons KN 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30
=(0.00032-0.00028)*2.684*0.0018772*195000000*1
Relaxation loss of Gr. I Tendons KN 35.80 36.33 38.17 38.47 39.25 39.59 39.25 38.47 38.17 36.33 35.80

Total Loss due to C + S + R KN 164.11 164.63 166.48 166.77 167.55 167.90 167.55 166.77 166.48 164.63 164.11

Stresses due to C + S + R
Top of Deck Slab KN/m2 34.3 61.7 65.2 78.0 89.8 90.1 89.8 78.0 65.2 61.7 34.3
Top of Girder KN/m2 -6.8 11.1 -5.3 2.4 9.4 9.5 9.4 2.4 -5.3 11.1 -6.8
Bottom KN/m2 -281.0 -326.1 -475.3 -501.4 -526.5 -527.8 -526.5 -501.4 -475.3 -326.1 -281.0

Prestressing factor for composite section


Stage 1 Cables Top -0.209 -0.375 -0.391 -0.468 -0.536 -0.537 -0.536 -0.468 -0.391 -0.375 -0.209
Bottom 1.712 1.981 2.855 3.007 3.142 3.144 3.142 3.007 2.855 1.981 1.712
Stage 2 Cables Top -0.745 -0.745 -0.687 -0.687 -0.687 -0.687 -0.687 -0.687 -0.687 -0.745 -0.745
Bottom 2.580 2.580 3.443 3.443 3.443 3.443 3.443 3.443 3.443 2.580 2.580

Stress at 56nd day before laying SIDL


Top of Deck Slab KN/m2 34.3 -172.5 -352.7 -639.7 -807.8 -867.5 -807.8 -639.7 -352.7 -172.5 34.3
Top of Girder KN/m2 -1016.5 -1451.7 1405.9 3309.0 3967.2 4622.9 3967.2 3309.0 1405.9 -1451.7 -1016.5
Bottom KN/m2 11239.2 11928.4 15231.7 13825.1 13515.2 13004.0 13515.2 13825.1 15231.7 11928.4 11239.2

Maximum permissible compressive stress KN/m2 21600


Maximum permissible tensile stress KN/m2 -3300
OK
OK
Stress at CG of Tendon I KN/m2 8314.3 9746.8 13013.2 12296.9 12472.9 11998.8 12472.9 12296.9 13013.2 9746.8 8314.3
Stress at CG of Tendon II KN/m2 11239.2 11928.4 15231.7 13825.1 13515.2 13004.0 13515.2 13825.1 15231.7 11928.4 11239.2

Avg stress for each segment KN/m2 9030.5 11380.0 12655.0 12384.9 12235.8 12235.8 12384.9 12655.0 11380.0 9030.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRI KN/m2 11765.57
Avg stress for each segment KN/m2 11583.8 13580.1 14528.4 13670.1 13259.6 13259.6 13670.1 14528.4 13580.1 11583.8 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRII KN/m2 13435.77

Relaxation Factor
=((56-28) * 24/1000)^0.143 0.945
Relaxation Loss of Gr. II Cables at mid span
=0.945*(1-(0.7-1*(0.0-0.00)/(0.000000000001*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*0.000000000001*1
Check for Creep Loss of Gr II Cables
=(0.000446-0.000369)*0.000000000001*0.0018772*195000000*1*13,435.77/10000 = 0.00

Relaxation Factor
=((56-21) * 24/1000)^0.143 - 0.775 0.201
Relaxation Loss of Gr. I Cables at mid span
=0.201*(1-(0.7-1*(6664.474-156.42)/(2.684*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1
Check for Creep Loss of Gr I Cables
=(0.000446-0.000369)*2.684*0.0018772*195000000*1*11,765.57/10000 89.01
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

SIDL applied at 56nd day KNm 0.00 108.49 192.71 346.53 447.95 483.29 447.95 346.53 192.71 108.49 0.00
Stress due to SIDL
Top of Deck Slab KN/m2 0.0 129.1 231.9 417.0 539.0 581.6 539.0 417.0 231.9 129.1 0.0
Top of Girder KN/m2 0.0 84.9 141.5 254.4 328.8 354.8 328.8 254.4 141.5 84.9 0.0
Bottom KN/m2 0.0 -209.1 -461.4 -829.6 -1072.5 -1157.1 -1072.5 -829.6 -461.4 -209.1 0.0

Stress at CG of Gr I Tendons KN/m2 0.00 -148.15 -362.69 -697.93 -955.2 -1031.1 -955.2 -697.9 -362.7 -148.2 0.0
Stress at CG of Gr II Tendons KN/m2 0.00 -209.12 -461.38 -829.65 -1072.5 -1157.1 -1072.5 -829.6 -461.4 -209.1 0.0

Creep, Shrinkage & Relaxation losses from 56 day upto infinity

Creep loss of Gr. II KN =0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Shrinkage loss of Gr. II KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
=(0.00028)*0.000000000001*0.0018772*195000000*1
Relaxation loss of Gr. II KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Creep loss of Gr. I KN =318.52 318.52 318.52 318.52 318.52 318.52 318.52 318.52 318.52 318.52 318.52
Shrinkage loss of Gr. I KN 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10
=(0.00028)*2.684*0.0018772*195000000*1
Relaxation loss of Gr. I KN 361.46 366.78 385.36 388.39 396.25 399.70 396.25 388.39 385.36 366.78 361.46

Total Loss due to C+S+R 955.07 960.39 978.98 982.00 989.87 993.32 989.87 982.00 978.98 960.39 955.07

Stress due to C+S+R


Top of Deck Slab KN/m2 199.7 360.0 383.3 459.3 530.5 533.0 530.5 459.3 383.3 360.0 199.7
Top of Girder KN/m2 -39.6 64.9 -31.3 14.2 55.6 56.2 55.6 14.2 -31.3 64.9 -39.6
Bottom KN/m2 -1635.3 -1902.3 -2795.0 -2952.5 -3110.6 -3122.7 -3110.6 -2952.5 -2795.0 -1902.3 -1635.3

Stress during Service at infinity


Top of Deck Slab KN/m2 234.0 316.5 262.5 236.5 261.7 247.1 261.7 236.5 262.5 316.5 234.0
Top of Girder KN/m2 -1056.1 -1301.9 1516.1 3577.6 4351.6 5033.9 4351.6 3577.6 1516.1 -1301.9 -1056.1
Bottom KN/m2 9603 9
9603.9 9816 9
9816.9 11975 3
11975.3 10043 0
10043.0 9332 1
9332.1 8724 2
8724.2 9332 1
9332.1 10043 0 11975.3
10043.0 11975 3 9816.9
9816 9 9603.9
9603 9

Maximum permissible compressive stress KN/m2 21600


Maximum permissible tensile stress KN/m2 -3300
OK
OK
Stress at CG of Tendon I KN/m2 6403.7 7511.7 10263.1 9257.4 8915.3 8416.7 8915.3 9257.4 10263.1 7511.7 6403.7
Stress at CG of Tendon II KN/m2 9603.9 9816.9 11975.3 10043.0 9332.1 8724.2 9332.1 10043.0 11975.3 9816.9 9603.9

Avg stress for each segment KN/m2 6957.7 8887.4 9760.2 9086.4 8666.0 8666.0 9086.4 9760.2 8887.4 6957.7 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRI KN/m2 8785.84
Avg stress for each segment KN/m2 9710.4 10896.1 11009.2 9687.6 9028.2 9028.2 9687.6 11009.2 10896.1 9710.4 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRII KN/m2 9988.51
Relaxation Factor for Gr II =
3-0.945 2.055
Relaxation Loss of Gr. II Cables at mid span
=2.055*(1-(0.7-1*(0.0-0.00)/(0.000000000001*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*0.000000000001*1
Check for Creep Loss of Gr II Cables
=(0.000369)*0.000000000001*0.0018772*195000000*1*9,988.51/10000 = =0.00

Relaxation Factor for Gr I =


3-0.775-0.201 2.025
Relaxation Loss of Gr. I Cables at mid span
=2.025*(1-(0.7-1*(6664.474-156.42)/(2.684*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1
Check for Creep Loss of Gr I Cables
=(0.000369)*2.684*0.0018772*195000000*1*8,785.84/10000 = =318.52
Stress Check at Service Stage (Inferior) :
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of Section property (Individual Beam Section)

Area of the section m2 1.2329 1.2329 0.765 0.765 0.765 0.765 0.765 0.765 0.765 1.2329 1.2329
Depth of the section m 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500
CG of section from bottom m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Inertia of section m4 0.2393 0.2393 0.2025 0.2025 0.2025 0.2025 0.2025 0.2025 0.2025 0.2393 0.2393
Top Section Modulus m3 0.3268 0.3268 0.2658 0.2658 0.2658 0.2658 0.2658 0.2658 0.2658 0.3268 0.3268
Bottom Section Modulus m3 0.3117 0.3117 0.2744 0.2744 0.2744 0.2744 0.2744 0.2744 0.2744 0.3117 0.3117

Details of Section property (Composite Section) (28 day old slab)

Area of the section m2 1.9079 1.9079 1.44 1.44 1.44 1.44 1.44 1.44 1.44 1.9079 1.9079
Depth of the section m 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
CG of section from bottom m 1.0667 1.0667 1.148 1.148 1.148 1.148 1.148 1.148 1.148 1.0667 1.0667
Inertia of section m4 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
Top Section Modulus m3 0.8407 0.8407 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8407 0.8407
Bottom Section Modulus m3 0.5188 0.5188 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.5188 0.5188

Details of Section property (Composite Section)

Area of the section m2 1.9079 1.9079 1.44 1.44 1.44 1.44 1.44 1.44 1.44 1.9079 1.9079
Depth of the section m 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
CG of section from bottom m 1.0667 1.0667 1.148 1.148 1.148 1.148 1.148 1.148 1.148 1.0667 1.0667
Inertia of section m4 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
Top Section Modulus m3 0.8407 0.8407 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8407 0.8407
Bottom Section Modulus m3 0.5188 0.5188 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.5188 0.5188

Details of Stage I prestressing


For Cable 1a
No of Tendons of 19T13 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
Prestressing Force (P1) KN 2454.00 2464.00 2510.00 2525.00 2540.00 2555.00 2569.00 2584.00 2594.00 2551.00 2541.00
CG of Tendons from Bottom m 0.3000 0.1705 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1705 0.3000
Eccentricity of Tendons m 0.4678 0.5973 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.5973 0.4678
Prestressing Factor (Top) -0.6203 -1.0165 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -1.0165 -0.6203
Prestressing Factor (Bottom) 2.3120 2.7275 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 2.7275 2.3120

For Cable 1b
No of Tendons of 19T13 1.000 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
Prestressing Force (P1) KN 2541.00 2551.00 2594.00 2584.00 2569.00 2555.00 2540.00 2525.00 2510.00 2464.00 2454.00
CG of Tendons from Bottom m 0.3000 0.1705 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1705 0.3000
Eccentricity of Tendons m 0.4678 0.5973 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.5973 0.4678
Prestressing Factor (Top) -0.6203 -1.0165 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -1.0165 -0.6203
Prestressing Factor (Bottom) 2.3120 2.7275 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 2.7275 2.3120

For Cable 1c
No of Tendons of 19T13 0.684 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68
Prestressing Force (P1) KN 1669.47 1676.32 1681.11 1691.37 1731.05 1747.47 1731.05 1691.37 1681.11 1676.32 1669.47
CG of Tendons from Bottom m 0.9000 0.7313 0.6116 0.3552 0.1271 0.1250 0.1271 0.3552 0.6116 0.7313 0.9000
Eccentricity of Tendons m -0.1322 0.0365 0.1265 0.3829 0.6110 0.6131 0.6110 0.3829 0.1265 0.0365 -0.1322
Prestressing Factor (Top) 1.2156 0.6994 0.8312 -0.1335 -0.9917 -0.9996 -0.9917 -0.1335 0.8312 0.6994 1.2156
Prestressing Factor (Bottom) 0.3869 0.9282 1.7683 2.7028 3.5342 3.5419 3.5342 2.7028 1.7683 0.9282 0.3869

For Cable 1d
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 1e
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Combination of Stage 1 Cables


No of Tendons of 19T13 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68
Prestressing Force (P1) KN 6664.5 6691.3 6785.1 6800.4 6840.1 6857.5 6840.1 6800.4 6785.1 6691.3 6664.5
CG of Tendons from Bottom m 0.4503 0.3110 0.2456 0.1823 0.1255 0.1250 0.1255 0.1823 0.2456 0.3110 0.4503
Eccentricity of Tendons m 0.3175 0.4568 0.4925 0.5558 0.6126 0.6131 0.6126 0.5558 0.4925 0.4568 0.3175
Prestressing Factor (Top) -0.1604 -0.5866 -0.5460 -0.7842 -0.9976 -0.9996 -0.9976 -0.7842 -0.5460 -0.5866 -0.1604
Prestressing Factor (Bottom) 1.8298 2.2768 3.1025 3.3332 3.5400 3.5419 3.5400 3.3332 3.1025 2.2768 1.8298

Dead Load Moments - Ist stage Tm 0.0 323.5 560.1 938.1 1164.5 1239.6 1164.5 938.1 560.1 323.5 0.0

Stress Due to dead load


Top T/m2 0.0 989.8 2107.5 3529.5 4381.4 4664.0 4381.4 3529.5 2107.5 989.8 0.0
Bottom T/m2 0.0 -1037.9 -2041.6 -3419.2 -4244.6 -4518.3 -4244.6 -3419.2 -2041.6 -1037.9 0.0

Eloss of cable (1a) for stressing of (1a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1a) for stressing of (1b) KN 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79
Eloss of cable (1a) for stressing of (1c) KN 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82
Eloss of cable (1a) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1a) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1c) KN 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82
Eloss of cable (1b) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1d) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1d) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1e) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 1 cables KN 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42

Stress after stressing of 1a


Top KN/m2 -1522.1 -1514.9 -401.5 1005.6 1842.5 2110.1 1813.5 946.6 -485.4 -1603.3 -1576.1
B
Bottom KN/m2
KN/ 5673 8
5673.8 5682 8
5682.8 6848 5
6848.5 5524 1
5524.1 4751 9
4751.9 4531 2
4531.2 4854 6
4854.6 5733 0
5733.0 7146 1 5920.1
7146.1 5920 1 5874.9
5874 9
Stress at CG of 1a KN/m2 4234.6 4864.6 6244.4 5147.5 4509.4 4329.5 4601.2 5334.2 6510.1 5064.9 4384.7
Avg stress for each segment KN/m2 4549.62 5554.51 5695.94 4828.47 4419.44 4465.31 4967.66 5922.13 5787.51 4724.81 0.00
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1a KN/m2 5054.30

Stress after stressing of 1b


Top KN/m2 -3049.3 -4027.9 -2915.6 -1498.6 -646.7 -365.1 -646.7 -1498.6 -2915.6 -4027.9 -3049.3
Bottom KN/m2 11366.5 12425.9 15757.2 14397.3 13572.0 13301.7 13572.0 14397.3 15757.2 12425.9 11366.5
Stress at CG of 1a KN/m2 8483.3 10555.6 14201.1 13072.6 12387.1 12162.8 12387.1 13072.6 14201.1 10555.6 8483.3
Avg stress for each segment KN/m2 9519.5 12378.4 13636.9 12729.8 12274.9 12274.9 12729.8 13636.9 12378.4 9519.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 7233.40
Stress at CG of 1b KN/m2 8483.3 10555.6 14201.1 13072.6 12387.1 12162.8 12387.1 13072.6 14201.1 10555.6 8483.3
Avg stress for each segment KN/m2 9519.5 12378.4 13636.9 12729.8 12274.9 12274.9 12729.8 13636.9 12378.4 9519.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1b KN/m2 12287.70
Check Eloss of cable (1a) for (1b) KN 78.79

Stress after stressing of 1c


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 3564.02
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Increase in Average Stress at CG of 1b KN/m2 3564.02


Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1c KN/m2 12688.25
Check Eloss of cable (1a) for (1c) KN 38.82
Check Eloss of cable (1b) for (1c) KN 38.82

Stress after stressing of 1d


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 0.00
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1b KN/m2 0.00
Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1c KN/m2 0.00
Stress at CG of 1d KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1d KN/m2 17671.20
Check Eloss of cable (1a) for (1d) KN 0.00
Check Eloss of cable (1b) for (1d) KN 0.00
Check Eloss of cable (1c) for (1d) KN 0.00

Stress after stressing of 1e


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 0.00
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1b KN/m2 0.00
Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1c KN/m2 0.00
Stress at CG of 1d KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1d KN/m2 0.00
Stress at CG of 1e KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1e KN/m2 17671.20
Check Eloss of cable (1a) for (1e) KN 0.00
Check Eloss of cable (1b) for (1e) KN 0.00
Check Eloss of cable (1c) for (1e) KN 0.00
Check Eloss of cable (1d) for (1e) KN 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of Stage1 Cables


Top KN/m2 -939.3 -2460.4 -1149.7 -1159.4 -1619.3 -1364.4 -1619.3 -1159.4 -1149.7 -2460.4 -939.3
Bottom KN/m2 10717.6 12352.7 16467.1 16511.9 17049.3 16842.7 17049.3 16511.9 16467.1 12352.7 10717.6

Stress at CG of cable 1a KN/m2 8386.2 10669.0 14999.0 15039.3 15493.5 15325.4 15493.5 15039.3 14999.0 10669.0 8386.2
Stress at CG of cable 1b KN/m2 8386.2 10669.0 14999.0 15039.3 15493.5 15325.4 15493.5 15039.3 14999.0 10669.0 8386.2
Stress at CG of cable 1c KN/m2 3723.4 5130.8 9284.1 12327.3 15467.4 15325.4 15467.4 12327.3 9284.1 5130.8 3723.4
Stress at CG of cable 1d KN/m2 10717.6 12352.7 16467.1 16511.9 17049.3 16842.7 17049.3 16511.9 16467.1 12352.7 10717.6
Stress at CG of cable 1e KN/m2 10717.6 12352.7 16467.1 16511.9 17049.3 16842.7 17049.3 16511.9 16467.1 12352.7 10717.6

Losses From 21 to 28 day

Creep loss due to GR I Tendons KN 47.95 47.95 47.95 47.95 47.95 47.95 47.95 47.95 47.95 47.95 47.95
Shrinkage loss due to GR I Tendons KN 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65
=(0.00034-0.00032)*2.684*0.0018772*195000000*1
Relaxation loss due to GR I Tendons
Relaxation factor =
=((28-21) * 24/1000)^0.143 0.775
Relaxation loss due to GR I Tendons KN 138.33 140.37 147.48 148.64 151.65 152.97 151.65 148.64 147.48 140.37 138.33
=0.775*(1-(0.7-(1*(6664.47368441053-156.42)/(2.684*3,490.3)))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1

Total Loss (C+S+R) KN 205.93 207.97 215.08 216.24 219.25 220.57 219.25 216.24 215.08 207.97 205.93

Stress Due to C+S+R


Top KN/m2 33.0 122.0 117.4 169.6 218.7 220.5 218.7 169.6 117.4 122.0 33.0
Bottom KN/m2 -376.8 -473.5 -667.3 -720.8 -776.1 -781.2 -776.1 -720.8 -667.3 -473.5 -376.8

Stress before stressing of GR II cables at 28 day


Top KN/m2 -909.6 -2350.6 -1044.0 -1006.8 -1422.4 -1166.0 -1422.4 -1006.8 -1044.0 -2350.6 -909.6
Bottom KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4

Stress at CG of Stage 1 Cables KN/m2 6989.7 8966.5 13098.1 13813.4 14863.3 14697.4 14863.3 13813.4 13098.1 8966.5 6989.7
Stress at CG of Stage 2 Cables KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4

Avg stress for each segment KN/m2 7978.1 11032.3 13455.8 14338.4 14780.4 14780.4 14338.4 13455.8 11032.3 7978.1 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 1 Cables KN/m2 12843.13
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 2 Cables KN/m2 15041.50

Creep loss (check) KN 47.95


=(0.000484-0.000446)*2.684*0.0018772*195000000*1*12,843.13/10000
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of Stage 2 prestressing

For Cable 2a
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2b
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2c
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2d
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2e
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

Combination of Stage 2 Cables


No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

Eloss of Stage 1 cables for stressing of (2a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2d) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2d) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2e) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 1 cables KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 2 cables KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of 2a


Top KN/m2 -909.6 -2350.6 -1044.0 -1006.8 -1422.4 -1166.0 -1422.4 -1006.8 -1044.0 -2350.6 -909.6
Bottom KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Stress at CG of Stage 1 Cables KN/m2 6989.7 8966.5 13098.1 13813.4 14863.3 14697.4 14863.3 13813.4 13098.1 8966.5 6989.7
Avg stress for each segment KN/m2 7978.1 11032.3 13455.8 14338.4 14780.4 14780.4 14338.4 13455.8 11032.3 7978.1 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2a KN/m2 15041.50
Check Eloss of Stage 1 cables for (2a) KN 0.00

Stress after stressing of 2b


Top KN/m2 -909.6 -2350.6 -1044.0 -1006.8 -1422.4 -1166.0 -1422.4 -1006.8 -1044.0 -2350.6 -909.6
Bottom KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Stress at CG of Stage 1 Cables KN/m2 6989.7 8966.5 13098.1 13813.4 14863.3 14697.4 14863.3 13813.4 13098.1 8966.5 6989.7
Avg stress for each segment KN/m2 7978.1 11032.3 13455.8 14338.4 14780.4 14780.4 14338.4 13455.8 11032.3 7978.1 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2b 0.00
Stress at CG of 2b KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2b KN/m2 15041.50
Check Eloss of Stage 1 cables for (2b) KN 0.00
Check Eloss of Cable (2a) for (2b) KN 0.00

Stress after stressing of 2c


Top KN/m2 -909.6 -2350.6 -1044.0 -1006.8 -1422.4 -1166.0 -1422.4 -1006.8 -1044.0 -2350.6 -909.6
Bottom KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Stress at CG of Stage 1 Cables KN/m2 6989.7 8966.5 13098.1 13813.4 14863.3 14697.4 14863.3 13813.4 13098.1 8966.5 6989.7
Avg stress for each segment KN/m2 7978.1 11032.3 13455.8 14338.4 14780.4 14780.4 14338.4 13455.8 11032.3 7978.1 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2c 0.00
Stress at CG of 2b KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2c 0.00
Stress at CG of 2c KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2c KN/m2 15041.50
Check Eloss of Stage 1 cables for (2c) KN 0.00
Check Eloss of Cable (2a) for (2c) KN 0.00
Check Eloss of Cable (2b) for (2c) KN 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of 2d


Top KN/m2 -909.6 -2350.6 -1044.0 -1006.8 -1422.4 -1166.0 -1422.4 -1006.8 -1044.0 -2350.6 -909.6
Bottom KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Stress at CG of Stage 1 Cables KN/m2 6989.7 8966.5 13098.1 13813.4 14863.3 14697.4 14863.3 13813.4 13098.1 8966.5 6989.7
Avg stress for each segment KN/m2 7978.1 11032.3 13455.8 14338.4 14780.4 14780.4 14338.4 13455.8 11032.3 7978.1 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2d 0.00
Stress at CG of 2b KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2d 0.00
Stress at CG of 2c KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2c for 2d 0.00
Stress at CG of 2d KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2d KN/m2 15041.50
Check Eloss of Stage 1 cables for (2d) KN 0.00
Check Eloss of Cable (2a) for (2d) KN 0.00
Check Eloss of Cable ((2b)) for (2d)
( ) KN 0.00
Check Eloss of Cable (2c) for (2d) KN 0.00

Stress after stressing of 2e


Top KN/m2 -909.6 -2350.6 -1044.0 -1006.8 -1422.4 -1166.0 -1422.4 -1006.8 -1044.0 -2350.6 -909.6
Bottom KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Stress at CG of Stage 1 Cables KN/m2 6989.7 8966.5 13098.1 13813.4 14863.3 14697.4 14863.3 13813.4 13098.1 8966.5 6989.7
Avg stress for each segment KN/m2 7978.1 11032.3 13455.8 14338.4 14780.4 14780.4 14338.4 13455.8 11032.3 7978.1 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2e 0.00
Stress at CG of 2b KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2e 0.00
Stress at CG of 2c KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2c for 2e 0.00
Stress at CG of 2d KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2d for 2e 0.00
Stress at CG of 2e KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2e KN/m2 15041.50
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Check Eloss of Stage 1 cables for (2e) KN 0.00


Check Eloss of Cable (2a) for (2e) KN 0.00
Check Eloss of Cable (2b) for (2e) KN 0.00
Check Eloss of Cable (2c) for (2e) KN 0.00
Check Eloss of Cable (2d) for (2e) KN 0.00

Stress after stressing of Stage2 Cables


Top KN/m2 -909.6 -2350.6 -1044.0 -1006.8 -1422.4 -1166.0 -1422.4 -1006.8 -1044.0 -2350.6 -909.6
Bottom KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4

Stress at CG of Stage 1 Cables KN/m2 6989.7 8966.5 13098.1 13813.4 14863.3 14697.4 14863.3 13813.4 13098.1 8966.5 6989.7
Stress at CG of Stage 2 Cables KN/m2 10378.4 11926.6 15866.5 15863.2 16350.7 16139.6 16350.7 15863.2 15866.5 11926.6 10378.4

Avg stress for each segment KN/m2 7978.1 11032.3 13455.8 14338.4 14780.4 14780.4 14338.4 13455.8 11032.3 7978.1 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 1 Cables KN/m2 12843.13
Avg stress for each segment KN/m2 11152.5 13896.5 15864.8 16106.9 16245.1 16245.1 16106.9 15864.8 13896.5 11152.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 2 Cables KN/m2 15041.50

Shuttering Load Moments KNm 0.00 196.88 347.26 596.43 745.93 795.77 745.93 596.43 347.26 196.88 0.00
Stress due to shuttering load (for casting of Deck Slab)
Top KN/m2 0.0 602.4 1306.6 2244.0 2806.5 2994.1 2806.5 2244.0 1306.6 602.4 0.0
Bottom KN/m2 0.0 -631.7 -1265.7 -2174.0 -2718.9 -2900.5 -2718.9 -2174.0 -1265.7 -631.7 0.0

Dead Load Moments -IInd stage


g KNm 0.0 263.8 465.2 799.0 999.3 1066.1 999.3 799.0 465.2 263.8 0.0
Stress Due to dead load
Top KN/m2 0.0 807.0 1750.4 3006.3 3759.9 4011.1 3759.9 3006.3 1750.4 807.0 0.0
Bottom KN/m2 0.0 -846.2 -1695.7 -2912.4 -3642.5 -3885.8 -3642.5 -2912.4 -1695.7 -846.2 0.0

Stress at CG of GR I Tendons KN/m2 0.0 -503.5 -1131.5 -2193.3 -3023.0 -3227.7 -3023.0 -2193.3 -1131.5 -503.5 0.0
Stress at CG of GR II Tendons KN/m2 0.0 -846.2 -1695.7 -2912.4 -3642.5 -3885.8 -3642.5 -2912.4 -1695.7 -846.2 0.0

Stress due to release of shuttering load


Top KN/m2 0.0 -234.2 -417.9 -717.7 -897.6 -957.6 -897.6 -717.7 -417.9 -234.2 0.0
Top of Girder KN/m2 0.00 -154.15 -254.92 -437.84 -547.59 -584.17 -547.59 -437.84 -254.92 -154.15 0.00
Bottom KN/m2 0.00 379.49 831.40 1427.95 1785.88 1905.20 1785.88 1427.95 831.40 379.49 0.00

Stress after release of shuttering load


Top of Deck Slab KN/m2 0.0 -234.2 -417.9 -717.7 -897.6 -957.6 -897.6 -717.7 -417.9 -234.2 0.0
Top of Girder KN/m2 -909.6 -1095.3 1758.0 3805.7 4596.4 5255.0 4596.4 3805.7 1758.0 -1095.3 -909.6
Bottom KN/m2 10378.4 10828.1 13736.5 12204.7 11775.3 11258.4 11775.3 12204.7 13736.5 10828.1 10378.4
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Losses from 28 to 56 day

Creep Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Shrinkage Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
=(0.000320-0.000280)*0.00*0.0018772*195000000*1
Relaxation Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Creep Loss of Gr I Tendons KN 76.27 76.27 76.27 76.27 76.27 76.27 76.27 76.27 76.27 76.27 76.27
Shrinkage loss of Gr I Tendons KN 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30
=(0.00032-0.00028)*2.684*0.0018772*195000000*1
Relaxation loss of Gr. I Tendons KN 35.80 36.33 38.17 38.47 39.25 39.59 39.25 38.47 38.17 36.33 35.80

Total Loss due to C + S + R KN 151.37 151.89 153.73 154.03 154.81 155.15 154.81 154.03 153.73 151.89 151.37

Stresses due to C + S + R
Top of Deck Slab KN/m2 31.7 56.9 60.2 72.0 83.0 83.3 83.0 72.0 60.2 56.9 31.7
Top of Girder KN/m2 -6.3 10.3 -4.9 2.2 8.7 8.8 8.7 2.2 -4.9 10.3 -6.3
Bottom KN/m2 -259.2 -300.9 -438.9 -463.1 -486.5 -487.8 -486.5 -463.1 -438.9 -300.9 -259.2

Prestressing factor for composite section


Stage 1 Cables Top -0.209 -0.375 -0.391 -0.468 -0.536 -0.537 -0.536 -0.468 -0.391 -0.375 -0.209
Bottom 1.712 1.981 2.855 3.007 3.142 3.144 3.142 3.007 2.855 1.981 1.712
Stage 2 Cables Top -0.745 -0.745 -0.687 -0.687 -0.687 -0.687 -0.687 -0.687 -0.687 -0.745 -0.745
Bottom 2.580 2.580 3.443 3.443 3.443 3.443 3.443 3.443 3.443 2.580 2.580

Stress at 56nd day before laying SIDL


Top of Deck Slab KN/m2 28.5 -183.0 -363.7 -652.9 -822.9 -882.7 -822.9 -652.9 -363.7 -183.0 28.5
Top of Girder KN/m2 -915.3 -1086.1 1753.6 3807.7 4604.3 5262.9 4604.3 3807.7 1753.6 -1086.1 -915.3
Bottom KN/m2 10145.2 10557.4 13341.4 11787.9 11337.5 10819.5 11337.5 11787.9 13341.4 10557.4 10145.2

Stress at CG of Tendon I KN/m2 7504.3 8621.0 11390.4 10473.5 10452.5 9971.5 10452.5 10473.5 11390.4 8621.0 7504.3
Stress at CG of Tendon II KN/m2 10145.2 10557.4 13341.4 11787.9 11337.5 10819.5 11337.5 11787.9 13341.4 10557.4 10145.2

Avg stress for each segment KN/m2 8062.6 10005.7 10932.0 10463.0 10212.0 10212.0 10463.0 10932.0 10005.7 8062.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRI KN/m2 10081.30
Avg stress for each segment KN/m2 10351.3 11949.4 12564.7 11562.7 11078.5 11078.5 11562.7 12564.7 11949.4 10351.3 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRII KN/m2 11538.78

Relaxation Factor
=((56-28) * 24/1000)^0.143 0.945
Relaxation Loss of Gr. II Cables at mid span
=0.945*(1-(0.7-1*(0.0-0.00)/(0.000000000001*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*0.000000000001*1
Check for Creep Loss of Gr II Cables
=(0.000446-0.000369)*0.000000000001*0.0018772*195000000*1*11,538.78/10000 = 0.00

Relaxation Factor
=((56-21) * 24/1000)^0.143 - 0.775 0.201
Relaxation Loss of Gr. I Cables at mid span
=0.201*(1-(0.7-1*(6664.474-156.42)/(2.684*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1
Check for Creep Loss of Gr I Cables
=(0.000446-0.000369)*2.684*0.0018772*195000000*1*10,081.30/10000 76.27
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

SIDL applied at 56nd day KNm 0.00 108.49 192.71 346.53 447.95 483.29 447.95 346.53 192.71 108.49 0.00
Stress due to SIDL
Top of Deck Slab KN/m2 0.0 129.1 231.9 417.0 539.0 581.6 539.0 417.0 231.9 129.1 0.0
Top of Girder KN/m2 0.0 84.9 141.5 254.4 328.8 354.8 328.8 254.4 141.5 84.9 0.0
Bottom KN/m2 0.0 -209.1 -461.4 -829.6 -1072.5 -1157.1 -1072.5 -829.6 -461.4 -209.1 0.0

Stress at CG of Gr I Tendons KN/m2 0.00 -148.15 -362.69 -697.93 -955.2 -1031.1 -955.2 -697.9 -362.7 -148.2 0.0
Stress at CG of Gr II Tendons KN/m2 0.00 -209.12 -461.38 -829.65 -1072.5 -1157.1 -1072.5 -829.6 -461.4 -209.1 0.0

Creep, Shrinkage & Relaxation losses from 56 day upto infinity

Creep loss of Gr. II KN =0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Shrinkage loss of Gr. II KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
=(0.00028)*0.000000000001*0.0018772*195000000*1
Relaxation loss of Gr. II KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Creep loss of Gr. I KN =272.96 272.96 272.96 272.96 272.96 272.96 272.96 272.96 272.96 272.96 272.96
Shrinkage loss of Gr. I KN 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10
=(0.00028)*2.684*0.0018772*195000000*1
Relaxation loss of Gr. I KN 361.46 366.78 385.36 388.39 396.25 399.70 396.25 388.39 385.36 366.78 361.46

Total Loss due to C+S+R 909.51 914.83 933.41 936.44 944.30 947.75 944.30 936.44 933.41 914.83 909.51

Stress due to C+S+R


Top of Deck Slab KN/m2 190.2 342.9 365.4 437.9 506.1 508.5 506.1 437.9 365.4 342.9 190.2
Top of Girder KN/m2 -37.8 61.8 -29.8 13.6 53.0 53.6 53.0 13.6 -29.8 61.8 -37.8
Bottom KN/m2 -1557.3 -1812.1 -2664.9 -2815.5 -2967.4 -2979.4 -2967.4 -2815.5 -2664.9 -1812.1 -1557.3

Stress during Service at infinity


Top of Deck Slab KN/m2 199.6 254.7 197.1 158.3 171.6 156.6 171.6 158.3 197.1 254.7 199.6
Top of Girder KN/m2 -949.2 -945.5 1868.2 4074.3 4980.8 5665.9 4980.8 4074.3 1868.2 -945.5 -949.2
Bottom KN/m2 8743 6
8743.6 8717 4
8717.4 10481 6
10481.6 8424 4
8424.4 7594 4
7594.4 6980 9
6980.9 7594 4
7594.4 8424 4 10481.6
8424.4 10481 6 8717.4
8717 4 8743.6
8743 6

Maximum permissible compressive stress KN/m2 21600


Maximum permissible tensile stress KN/m2 -3300
OK
OK
Stress at CG of Tendon I KN/m2 5833.8 6714.0 9071.5 7895.8 7375.6 6871.3 7375.6 7895.8 9071.5 6714.0 5833.8
Stress at CG of Tendon II KN/m2 8743.6 8717.4 10481.6 8424.4 7594.4 6980.9 7594.4 8424.4 10481.6 8717.4 8743.6

Avg stress for each segment KN/m2 6273.9 7892.8 8483.7 7635.7 7123.5 7123.5 7635.7 8483.7 7892.8 6273.9 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRI KN/m2 7529.01
Avg stress for each segment KN/m2 8730.5 9599.5 9453.0 8009.4 7287.6 7287.6 8009.4 9453.0 9599.5 8730.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRII KN/m2 8479.31
Relaxation Factor for Gr II =
3-0.945 2.055
Relaxation Loss of Gr. II Cables at mid span
=2.055*(1-(0.7-1*(0.0-0.00)/(0.000000000001*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*0.000000000001*1
Check for Creep Loss of Gr II Cables
=(0.000369)*0.000000000001*0.0018772*195000000*1*8,479.31/10000 = =0.00

Relaxation Factor for Gr I =


3-0.775-0.201 2.025
Relaxation Loss of Gr. I Cables at mid span
=2.025*(1-(0.7-1*(6664.474-156.42)/(2.684*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1
Check for Creep Loss of Gr I Cables
=(0.000369)*2.684*0.0018772*195000000*1*7,529.01/10000 = =272.96
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Moment Due to Live Load (Sagging) KNm 0.00 646.15 1212.57 1930.37 2327.10 2444.95 2327.10 1930.37 1212.57 646.15 0.00
Stresses due to Live Load (Sagging)
Top of Deck Slab KN/m2 0.0 768.6 1459.1 2322.9 2800.3 2942.1 2800.3 2322.9 1459.1 768.6 0.0
Top of Girder KN/m2 0.0 505.9 890.1 1417.1 1708.3 1794.8 1708.3 1417.1 890.1 505.9 0.0
Bottom KN/m2 0.0 -1245.5 -2903.1 -4621.6 -5571.5 -5853.6 -5571.5 -4621.6 -2903.1 -1245.5 0.0

Stress at service with Live Load (Sagging)


Top of Deck Slab KN/m2 199.6 1023.3 1656.2 2481.2 2971.9 3098.7 2971.9 2481.2 1656.2 1023.3 199.6
Top of Girder KN/m2 -949.2 -439.6 2758.3 5491.4 6689.1 7460.8 6689.1 5491.4 2758.3 -439.6 -949.2
Bottom KN/m2 8743.6 7471.9 7578.6 3802.7 2022.9 1127.3 2022.9 3802.7 7578.6 7471.9 8743.6
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress due to Differential Shrinkage & Creep


P KNm 789.5 789.5 789.5 789.5 789.5 789.5 789.5 789.5 789.5 789.5 789.5
e m 0.55 0.55 0.46 0.46 0.46 0.46 0.46 0.46 0.46 0.55 0.55
Top of Deck Slab KN/m2 -243.2 -243.2 -180.1 -180.1 -180.1 -180.1 -180.1 -180.1 -180.1 -243.2 -243.2
Bottom of Deck Slab KN/m2 -418.4 -418.4 -352.1 -352.1 -352.1 -352.1 -352.1 -352.1 -352.1 -418.4 -418.4
Top of Girder KN/m2 751.2 751.2 817.5 817.5 817.5 817.5 817.5 817.5 817.5 751.2 751.2
Bottom KN/m2 -416.8 -416.8 -329.7 -329.7 -329.7 -329.7 -329.7 -329.7 -329.7 -416.8 -416.8

Stress at service with differential shrinkage and differential creep effect (with Live Load)
Top of Deck Slab KN/m2 -43.6 780.1 1476.1 2301.1 2791.8 2918.6 2791.8 2301.1 1476.1 780.1 -43.6
Top of Girder KN/m2 -198.1 311.6 3575.8 6308.9 7506.6 8278.2 7506.6 6308.9 3575.8 311.6 -198.1
Bottom KN/m2 8326.8 7055.1 7248.8 3473.0 1693.2 797.6 1693.2 3473.0 7248.8 7055.1 8326.8
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at service with differential shrinkage and differential creep effect (without Live Load)
Topp of Deck Slab KN/m2 -43.6 11.5 17.0 -21.8 -8.5 -23.5 -8.5 -21.8 17.0 11.5 -43.6
Top of Girder KN/m2 -198.1 -194.4 2685.7 4891.8 5798.3 6483.4 5798.3 4891.8 2685.7 -194.4 -198.1
Bottom KN/m2 8326.8 8300.6 10151.9 8094.6 7264.6 6651.2 7264.6 8094.6 10151.9 8300.6 8326.8
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at service with differential shrinkage and differential creep effect (with 75% Live Load)
Top of Deck Slab KN/m2 -43.6 587.9 1111.3 1720.4 2091.7 2183.1 2091.7 1720.4 1111.3 587.9 -43.6
Top of Girder KN/m2 -198.1 185.1 3353.3 5954.6 7079.5 7829.5 7079.5 5954.6 3353.3 185.1 -198.1
Bottom KN/m2 8326.8 7366.5 7974.6 4628.4 3086.0 2261.0 3086.0 4628.4 7974.6 7366.5 8326.8
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress due to Temp (Rise) (Eigen stresses)


Top of Deck Slab KN/m2 4386.2 4386.2 4189.3 4189.3 4189.3 4189.3 4189.3 4189.3 4189.3 4386.2 4386.2
Top of Girder KN/m2 -702.7 -702.7 -910.2 -910.2 -910.2 -910.2 -910.2 -910.2 -910.2 -702.7 -702.7
Bottom KN/m2 2132.2 2132.2 1854.1 1854.1 1854.1 1854.1 1854.1 1854.1 1854.1 2132.2 2132.2

Stress at Service with 75% Live Load (sag) + Temp rise


Top of Deck Slab KN/m2 4342.6 4974.1 5300.6 5909.7 6281.0 6372.4 6281.0 5909.7 5300.6 4974.1 4342.6
Top of Girder KN/m2 -900.8 -517.6 2443.1 5044.4 6169.3 6919.3 6169.3 5044.4 2443.1 -517.6 -900.8
Bottom KN/m2 10459.0 9498.7 9828.7 6482.5 4940.1 4115.1 4940.1 6482.5 9828.7 9498.7 10459.0
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at Service with 100% Live Load (sag) + Temp rise 60%
Top of Deck Slab KN/m2 2588.1 3411.8 3989.7 4814.7 5305.4 5432.2 5305.4 4814.7 3989.7 3411.8 2588.1
Top of Girder KN/m2 -619.7 -110.1 3029.7 5762.8 6960.5 7732.1 6960.5 5762.8 3029.7 -110.1 -619.7
Bottom KN/m2 9606.1 8334.4 8361.3 4585.5 2805.6 1910.0 2805.6 4585.5 8361.3 8334.4 9606.1
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress due to Temp (Fall) (Eigen Stresses)


Top of Deck Slab KN/m2 -2446.8 -2446.8 -2285.6 -2285.6 -2285.6 -2285.6 -2285.6 -2285.6 -2285.6 -2446.8 -2446.8
Top of Girder KN/m2 915.8 915.8 1110.3 1110.3 1110.3 1110.3 1110.3 1110.3 1110.3 915.8 915.8
Bottom KN/m2 -2905.6 -2905.6 -2488.4 -2488.4 -2488.4 -2488.4 -2488.4 -2488.4 -2488.4 -2905.6 -2905.6
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress at Service with 75% Live Load (sag) + Temp Fall


Top of Deck Slab KN/m2 -2490.4 -1858.9 -1174.3 -565.2 -193.9 -102.5 -193.9 -565.2 -1174.3 -1858.9 -2490.4
Top of Girder KN/m2 717.7 1100.9 4463.6 7064.9 8189.8 8939.8 8189.8 7064.9 4463.6 1100.9 717.7
Bottom KN/m2 5421.2 4460.9 5486.2 2140.0 597.6 -227.4 597.6 2140.0 5486.2 4460.9 5421.2
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at Service with 100% Live Load (sag) + Temp Fall 60%
Top of Deck Slab KN/m2 -1511.7 -688.0 104.8 929.7 1420.4 1547.3 1420.4 929.7 104.8 -688.0 -1511.7
Top of Girder KN/m2 351.4 861.0 4242.0 6975.1 8172.8 8944.4 8172.8 6975.1 4242.0 861.0 351.4
Bottom KN/m2 6583.4 5311.7 5755.8 1980.0 200.1 -695.5 200.1 1980.0 5755.8 5311.7 6583.4
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Moment Due to Vertical wind (Sagging) KNm 0.00 92.53 163.95 280.67 350.13 373.19 350.13 280.67 163.95 92.53 0.00
Stresses due to Vertical wind (Sagging)
Top of Deck Slab KN/m2 0.0 110.1 197.3 337.7 421.3 449.1 421.3 337.7 197.3 110.1 0.0
Top of Girder KN/m2 0.0 72.4 120.4 206.0 257.0 274.0 257.0 206.0 120.4 72.4 0.0
Bottom KN/m2 0.0 -178.4 -392.5 -672.0 -838.3 -893.5 -838.3 -672.0 -392.5 -178.4 0.0

Stress at Service with 100% Live Load (sag) + wind 60%


Top of Deck Slab KN/m2 -43.6 846.1 1594.5 2503.7 3044.6 3188.1 3044.6 2503.7 1594.5 846.1 -43.6
Top of Girder KN/m2 -198.1 355.0 3648.0 6432.5 7660.8 8442.6 7660.8 6432.5 3648.0 355.0 -198.1
Bottom KN/m2 8326.8 6948.1 7013.3 3069.8 1190.2 261.5 1190.2 3069.8 7013.3 6948.1 8326.8
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at Service with 75% Live Load (sag) + wind


Top of Deck Slab KN/m2 -43.6 698.0 1308.6 2058.1 2513.0 2632.2 2513.0 2058.1 1308.6 698.0 -43.6
Top of Girder KN/m2 -198.1 257.5 3473.6 6160.6 7336.5 8103.5 7336.5 6160.6 3473.6 257.5 -198.1
Bottom KN/m2 8326.88
8326 7188 1
7188.1 7582 1
7582.1 3956 5
3956.5 2247 8
2247.8 1367 5
1367.5 2247 8
2247.8 3956 5
3956.5 7582 1 7188.1
7582.1 7188 1 8326.8
8326 8
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK
CHECK FOR ULTIMATE LIMIT STATE (BASIC COMBINATION)- INFERIOR
ITEM UNITS Distance from left support
(m) 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of prestressing

Net prestressing force in Stage 1 (KN) 4717.1 4734.2 4793.8 4803.5 4828.7 4839.8 4828.7 4803.5 4793.8 4734.2 4717.1
No of Tendons in Stage-1 prestressing 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684
Distance from bottom of Stage 1 (m) 0.4503 0.3110 0.2456 0.1823 0.1255 0.1250 0.1255 0.1823 0.2456 0.3110 0.4503
Net prestressing force in Stage 2 (KN) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
No of Tendons in Stage-2 prestressing 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Distance from bottom of Stage 2 (m) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Net horizontal prestressing force (KN) 4717.1 4734.2 4793.8 4803.5 4828.7 4839.8 4828.7 4803.5 4793.8 4734.2 4717.1
Net eccentricity from bottom (m) 0.4503 0.3110 0.2456 0.1823 0.1255 0.1250 0.1255 0.1823 0.2456 0.3110 0.4503
Vertical Component of Stage 1 Prestressing (KN) 502.2 504.8 153.3 154.2 33.6 0.0 33.6 154.2 153.3 504.8 502.2
Vertical Component of Stage 2 Prestressing (KN) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Total Vertical Component of Prestress (KN) 502.2 504.8 153.3 154.2 33.6 0.0 33.6 154.2 153.3 504.8 502.2
Total area of Prestress cable (Ap) 2 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050
(m )

Section Properties
Width of deck slab (m) 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000
Width of Bottom Flange (m) 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800
Width of web Bw (m) 0.800 0.800 0.356 0.300 0.300 0.300 0.300 0.300 0.383 0.750 0.750
Duct Dia Dduct m 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085
Effective width of Web (Bw-0.5*Dduct) m 0.758 0.758 0.314 0.258 0.258 0.258 0.258 0.258 0.340 0.708 0.708
Depth of beam only (m) 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500
Depth of deck only (m) 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225
Depth of Bottom Flange (m) 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
Over all depth (m) 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
Area of composite section (m2) 1.9079 1.9079 1.4400 1.4400 1.4400 1.4400 1.4400 1.4400 1.4400 1.9079 1.9079
C.G. of composite section from bottom (m) 1.0667 1.0667 1.1480 1.1480 1.1480 1.1480 1.1480 1.1480 1.1480 1.0667 1.0667
Moment of inertia-composite section (m4) 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
fck 2 45000 45000 45000 45000 45000 45000 45000 45000 45000 45000 45000
KN/m
Ec 2
KN/m 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07
Ep 2
KN/m 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08
Es 2
KN/m 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08
Area of Reinforcement at bottom (As) (m2) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
fy = (MPa) 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0
Flexural capacity

Compressive prestress at soffit 2


KN/m 8077 9377 13686 14442 15174 15215 15174 14442 13686 9377 8077
Mean value of axial tensile strength of conc. 2
KN/m 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0
Uncr moment capacity of section for bottom fiber KNm 5902.3 6577.0 7094.9 7410.6 7716.2 7733.3 7716.2 7410.6 7094.9 6577.0 5902.3
Compressive/Tensile prestress at top 2
KN/m -986.4 -1774.5 -1876.7 -2246.5 -2587.9 -2596.9 -2587.9 -2246.5 -1876.7 -1774.5 -986.4
Maximum permissible compressive stress 2
KN/m 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0
Uncr moment capacity of section for top fiber KNm 18987.2 19649.7 19509.7 19817.0 20100.7 20108.2 20100.7 19817.0 19509.7 19649.7 18987.2
Uncracked moment capacity of section KNm 5902.3 6577.0 7094.9 7410.6 7716.2 7733.3 7716.2 7410.6 7094.9 6577.0 5902.3

Prestrain in cables (εpe) 4.8E-03 4.8E-03 4.9E-03 4.9E-03 4.9E-03 4.9E-03 4.9E-03 4.9E-03 4.9E-03 4.8E-03 4.8E-03
Comp strain in concrete at tendon level εce) 1.7E-04 2.2E-04 3.4E-04 3.7E-04 4.1E-04 4.1E-04 4.1E-04 3.7E-04 3.4E-04 2.2E-04 1.7E-04
ε0)
Compressive strain at top fiber ( 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035
Let assume depth of neutral axis from top(dn) m 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046
Depth of Reinforcement, As form top (ds) m 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667
Depth of Prestressing cable, Ap form top (dp) m 1.275 1.414 1.479 1.543 1.599 1.600 1.599 1.543 1.479 1.414 1.275
Tensile strain in concrete at tendon level εcp) 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830
εs)
Tensile strain in reinforcement ( 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181
Total strain at prestressing steel εp) = 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03
Tensile force at prestressing steel (Tp) = KN 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1
Tensile force at Reinforcement (Ts) = KN 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Compressive force in concrete, (C) = KN 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1
Check (C) = (Tp) + (Ts) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Lever arm of (C) from top fiber = m 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015
Cracked moment capacity of section KNm 10264.9 11400.3 11933.6 12449.5 12911.8 12916.2 12911.8 12449.5 11933.6 11400.3 10264.9

Dead Load moment KNm 0.0 587.2 1025.4 1737.1 2163.8 2305.7 2163.8 1737.1 1025.4 587.2 0.0
SIDL moment KNm 0.0 108.5 192.7 346.5 448.0 483.3 448.0 346.5 192.7 108.5 0.0
LL moment KNm 0.0 646.1 1212.6 1930.4 2327.1 2445.0 2327.1 1930.4 1212.6 646.1 0.0
Vertical Wind moment KNm 0.0 92.5 164.0 280.7 350.1 373.2 350.1 280.7 164.0 92.5 0.0
Factor for DL 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35
Factor for SIDL 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52
Factor for LL 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
Factor for Vertical Wind 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
Ultimate moment KNm 0.0 2010.2 3643.5 6020.0 7407.8 7850.6 7407.8 6020.0 3643.5 2010.2 0.0
OK OK OK OK OK OK OK OK OK OK OK
Uncr Uncr Uncr Uncr Uncr Cr Uncr Uncr Uncr Uncr Uncr
Shear capacity

Uncracked Shear resistance Calculation :


Second moment of inertia of gross section(I)= (m4) 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
1st moment of area above CG about CG (S) = (m3) 0.4435 0.4435 0.3356 0.3321 0.3321 0.3321 0.3321 0.3321 0.3372 0.4388 0.4388
Effective width of Web (bwc) = m 0.758 0.758 0.314 0.258 0.258 0.258 0.258 0.258 0.340 0.708 0.708
Design value of conc. tensile strength(fctd)= (KN/m2) 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3
Constant factor (k1) = 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
Conc. comp. stress due to prestressing σcp)= (KN/m2) 2472.4 2481.4 3329.0 3335.8 3353.3 3361.0 3353.3 3335.8 3329.0 2481.4 2472.4
Uncracked Shear resistance = KN 2342.5 2345.1 1224.6 1015.8 1017.6 1018.4 1017.6 1015.8 1320.0 2213.7 2211.3

Cracked Shear resistance Calculation :


depth (d) = mm 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725
Constant factor (K) = 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341
2
Longitudinal reinforcement (Asl) = (m ) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
Min. width of the section over depth (bw) = m 0.800 0.800 0.356 0.300 0.300 0.300 0.300 0.300 0.383 0.750 0.750
p1 = 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Cracked Shear resistance = KN 1920.3 1922.1 934.5 787.1 788.5 789.1 788.5 787.1 1002.9 1802.0 1800.2

Dead Load shear KN 474.51 360.07 304.16 202.75 101.8 0 101.8 202.75 304.16 360.07 474.51
SIDL shear KN 105.6 68.11 63.07 46.19 27.58 0.411 27.58 46.19 63.07 68.11 105.6
LL shear KN 438.2 431.6 431.6 336.4 270.1 216.8 270.1 336.4 431.6 431.6 438.2
Vertical Wind shear KN 67.4 58.4 50.5 33.0 16.3 0.0 16.3 33.0 50.5 58.4 67.4
Factor for DL 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35
Factor for SIDL 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52
Factor for LL 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
Factor for Vertical Wind 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
Ultimate shear KN 1519.0 1289.6 1199.3 878.3 599.1 325.9 599.1 878.3 1199.3 1289.6 1519.0
Governing Shear resistance without shear r/f KN 2342.5 2345.1 1224.6 1015.8 1017.6 789.1 1017.6 1015.8 1320.0 2213.7 2211.3

OK, OK, OK, OK, OK, OK, OK, OK, OK, OK, OK,
Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min.
Shear Shear Shear Shear Shear Shear Shear Shear Shear Shear Shear
R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to
be be be be be be be be be be be
provide provide provide provide provide provide provide provide provide provide provide
d d d d d d d d d d d
Minimum Shear reinforcement (ρ min)
2
(mm ) 155 155 69 58 58 58 58 58 74 145 145

Provide (mm) 12 12 12 12 12 12 12 12 12 12 12
4 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 4 L
(mm) 200 200 200 200 200 200 200 200 200 200 200
Asw Provided (mm2) 452 226 226 226 226 226 226 226 226 226 452
OK OK OK OK OK OK OK OK OK OK OK

Calculation of Actual Shear Reinforcement


Design Shear Resistance, (min. of two)
Asw * Z * fywd * cotθ / s (KN) N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A
αcw * bw * Z * v1 * fcd /(cotθ + tanθ) (KN) N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A
OK OK OK OK OK OK OK OK OK OK OK
Z (m) 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553
fywd  (MPa) 435 435 435 435 435 435 435 435 435 435 435
θ (degr 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8
αcw  1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
v1 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
CHECK FOR ULTIMATE LIMIT STATE (SEISMIC COMBINATION)- INFERIOR
ITEM UNITS Distance from left support
(m) 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of prestressing

Net prestressing force in Stage 1 (KN) 4717.1 4734.2 4793.8 4803.5 4828.7 4839.8 4828.7 4803.5 4793.8 4734.2 4717.1
No of Tendons in Stage-1 prestressing 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684
Distance from bottom of Stage 1 (m) 0.450 0.311 0.246 0.182 0.126 0.125 0.126 0.182 0.246 0.311 0.450
Net prestressing force in Stage 2 (KN) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
No of Tendons in Stage-2 prestressing 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
Distance from bottom of Stage 2 (m) 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
Net horizontal prestressing force (KN) 4717.1 4734.2 4793.8 4803.5 4828.7 4839.8 4828.7 4803.5 4793.8 4734.2 4717.1
Net eccentricity from bottom (m) 0.450 0.311 0.246 0.182 0.126 0.125 0.126 0.182 0.246 0.311 0.450
Vertical Component of Stage 1 Prestressing (KN) 502.2 504.8 153.3 154.2 33.6 0.0 33.6 154.2 153.3 504.8 502.2
Vertical Component of Stage 2 Prestressing (KN) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Total Vertical Component of Prestress (KN) 502.2 504.8 153.3 154.2 33.6 0.0 33.6 154.2 153.3 504.8 502.2
Total area of Prestress cable (Ap) 2 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050
(m )

Section Properties
Width of deck slab (m) 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000
Width of Bottom Flange (m) 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800
Width of web Bw (m) 0.800 0.800 0.356 0.300 0.300 0.300 0.300 0.300 0.383 0.750 0.750
Duct Dia Dduct m 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085
Effective width of Web (Bw-0.5*Dduct) m 0.758 0.758 0.314 0.258 0.258 0.258 0.258 0.258 0.340 0.708 0.708
Depth of beam only (m) 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500
Depth of deck only (m) 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225
Depth of Bottom Flange (m) 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
Over all depth (m) 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
Area of composite section (m2) 1.908 1.908 1.440 1.440 1.440 1.440 1.440 1.440 1.440 1.908 1.908
C.G. of composite section from bottom (m) 1.067 1.067 1.148 1.148 1.148 1.148 1.148 1.148 1.148 1.067 1.067
Moment of inertia-composite section (m4) 0.553 0.553 0.480 0.480 0.480 0.480 0.480 0.480 0.480 0.553 0.553
fck 2 45000 45000 45000 45000 45000 45000 45000 45000 45000 45000 45000
KN/m
Ec 2
KN/m 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07
Ep 2
KN/m 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08
Es 2
KN/m 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08
Area of Reinforcement at bottom (As) (m2) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
fy = (MPa) 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0
Flexural capacity

Compressive prestress at soffit 2


KN/m 8077 9377 13686 14442 15174 15215 15174 14442 13686 9377 8077
Mean value of axial tensile strength of conc. 2
KN/m 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0
Uncr moment capacity of section for bottom fiber KNm 5902.3 6577.0 7094.9 7410.6 7716.2 7733.3 7716.2 7410.6 7094.9 6577.0 5902.3
Compressive/Tensile prestress at top 2
KN/m -986.4 -1774.5 -1876.7 -2246.5 -2587.9 -2596.9 -2587.9 -2246.5 -1876.7 -1774.5 -986.4
Maximum permissible compressive stress 2
KN/m 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0
Uncr moment capacity of section for top fiber KNm 18987.2 19649.7 19509.7 19817.0 20100.7 20108.2 20100.7 19817.0 19509.7 19649.7 18987.2
Uncracked moment capacity of section KNm 5902.3 6577.0 7094.9 7410.6 7716.2 7733.3 7716.2 7410.6 7094.9 6577.0 5902.3

Prestrain in cables (εpe) 4.8E-03 4.8E-03 4.9E-03 4.9E-03 4.9E-03 4.9E-03 4.9E-03 4.9E-03 4.9E-03 4.8E-03 4.8E-03
Comp strain in concrete at tendon level εce) 1.7E-04 2.2E-04 3.4E-04 3.7E-04 4.1E-04 4.1E-04 4.1E-04 3.7E-04 3.4E-04 2.2E-04 1.7E-04
ε0)
Compressive strain at top fiber ( 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035
Let assume depth of neutral axis from top(dn) m 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046
Depth of Reinforcement, As form top (ds) m 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667
Depth of Prestressing cable, Ap form top (dp) m 1.275 1.414 1.479 1.543 1.599 1.600 1.599 1.543 1.479 1.414 1.275
Tensile strain in concrete at tendon level εcp) 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830
εs)
Tensile strain in reinforcement ( 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181
Total strain at prestressing steel εp) = 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03
Tensile force at prestressing steel (Tp) = KN 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1
Tensile force at Reinforcement (Ts) = KN 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Compressive force in concrete, (C) = KN 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1
Check (C) = (Tp) + (Ts) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Lever arm of (C) from top fiber = m 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015
Cracked moment capacity of section KNm 10264.9 11400.3 11933.6 12449.5 12911.8 12916.2 12911.8 12449.5 11933.6 11400.3 10264.9

Dead Load moment KNm 0.0 587.2 1025.4 1737.1 2163.8 2305.7 2163.8 1737.1 1025.4 587.2 0.0
SIDL moment KNm 0.0 108.5 192.7 346.5 448.0 483.3 448.0 346.5 192.7 108.5 0.0
LL moment KNm 0.0 646.1 1212.6 1930.4 2327.1 2445.0 2327.1 1930.4 1212.6 646.1 0.0
Vertical Seismic moment KNm 0.0 86.5 152.3 259.3 323.5 345.0 323.5 259.3 152.3 86.5 0.0
Factor for DL 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35
Factor for SIDL 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52
Factor for LL 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
Factor for Vertical Seismic 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
Ultimate moment KNm 0.0 1216.6 2148.1 3646.8 4552.8 4853.8 4552.8 3646.8 2148.1 1216.6 0.0
OK OK OK OK OK OK OK OK OK OK OK
Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr
Shear capacity

Uncracked Shear resistance Calculation :


Second moment of inertia of gross section(I)= (m4) 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
1st moment of area above CG about CG (S) = (m3) 0.4435 0.4435 0.3356 0.3321 0.3321 0.3321 0.3321 0.3321 0.3372 0.4388 0.4388
Effective width of Web (bwc) = m 0.758 0.758 0.314 0.258 0.258 0.258 0.258 0.258 0.340 0.708 0.708
Design value of conc. tensile strength(fctd)= (KN/m2) 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3
Constant factor (k1) = 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
Conc. comp. stress due to prestressing σcp)= (KN/m2) 2472.4 2481.4 3329.0 3335.8 3353.3 3361.0 3353.3 3335.8 3329.0 2481.4 2472.4
Uncracked Shear resistance = KN 2342.5 2345.1 1224.6 1015.8 1017.6 1018.4 1017.6 1015.8 1320.0 2213.7 2211.3

Cracked Shear resistance Calculation :


depth (d) = mm 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725
Constant factor (K) = 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341
2
Longitudinal reinforcement (Asl) = (m ) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
Min. width of the section over depth (bw) = m 0.800 0.800 0.356 0.300 0.300 0.300 0.300 0.300 0.383 0.750 0.750
p1 = 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Cracked Shear resistance = KN 1920.3 1922.1 934.5 787.1 788.5 789.1 788.5 787.1 1002.9 1802.0 1800.2

Dead Load shear KN 474.5 360.1 304.2 202.8 101.8 0.0 101.8 202.8 304.2 360.1 474.5
SIDL shear KN 105.6 68.1 63.1 46.2 27.6 0.4 27.6 46.2 63.1 68.1 105.6
LL shear KN 438.2 431.6 431.6 336.4 270.1 216.8 270.1 336.4 431.6 431.6 438.2
Vertical Wind shear KN 63.2 53.9 46.5 31.0 15.8 0.6 15.8 31.0 46.5 53.9 63.2
Factor for DL 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35
Factor for SIDL 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52
Factor for LL 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
Factor for Vertical Wind 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
Ultimate shear KN 983.6 756.7 662.6 457.7 257.1 44.9 257.1 457.7 662.6 756.7 983.6
Governing Shear resistance KN 2342.5 2345.1 1224.6 1015.8 1017.6 1018.4 1017.6 1015.8 1320.0 2213.7 2211.3
OK, OK, OK, OK, OK, OK, OK, OK, OK, OK, OK,
Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min.
Shear Shear Shear Shear Shear Shear Shear Shear Shear Shear Shear
R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to
be be be be be be be be be be be
provide provide provide provide provide provide provide provide provide provide provide
d d d d d d d d d d d
Minimum Shear reinforcement (ρ min)
2
(mm ) 155 155 69 58 58 58 58 58 74 145 145

Provide (mm) 12 12 12 12 12 12 12 12 12 12 12
4 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 4 L
(mm) 200 200 200 200 200 200 200 200 200 200 200
Asw Provided (mm2) 452 226 226 226 226 226 226 226 226 226 452
OK OK OK OK OK OK OK OK OK OK OK

Calculation of Actual Shear Reinforcement


Design Shear Resistance, (min. of two)
Asw * Z * fywd * cotθ / s (KN) N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A
αcw * bw * Z * v1 * fcd /(cotθ + tanθ) (KN) N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A
OK OK OK OK OK OK OK OK OK OK OK
Z (m) 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553
fywd  (MPa) 435 435 435 435 435 435 435 435 435 435 435
θ (degr 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8
αcw  1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
v1 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
Stress Check at Service Stage (Superior) :
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of Section property (Individual Beam Section)

Area of the section m2 1.2329 1.2329 0.765 0.765 0.765 0.765 0.765 0.765 0.765 1.2329 1.2329
Depth of the section m 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500
CG of section from bottom m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Inertia of section m4 0.2393 0.2393 0.2025 0.2025 0.2025 0.2025 0.2025 0.2025 0.2025 0.2393 0.2393
Top Section Modulus m3 0.3268 0.3268 0.2658 0.2658 0.2658 0.2658 0.2658 0.2658 0.2658 0.3268 0.3268
Bottom Section Modulus m3 0.3117 0.3117 0.2744 0.2744 0.2744 0.2744 0.2744 0.2744 0.2744 0.3117 0.3117

Details of Section property (Composite Section) (28 day old slab)

Area of the section m2 1.9079 1.9079 1.44 1.44 1.44 1.44 1.44 1.44 1.44 1.9079 1.9079
Depth of the section m 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
CG of section from bottom m 1.0667 1.0667 1.148 1.148 1.148 1.148 1.148 1.148 1.148 1.0667 1.0667
Inertia of section m4 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
Top Section Modulus m3 0.8407 0.8407 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8407 0.8407
Bottom Section Modulus m3 0.5188 0.5188 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.5188 0.5188

Details of Section property (Composite Section)

Area of the section m2 1.9079 1.9079 1.44 1.44 1.44 1.44 1.44 1.44 1.44 1.9079 1.9079
Depth of the section m 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
CG of section from bottom m 1.0667 1.0667 1.148 1.148 1.148 1.148 1.148 1.148 1.148 1.0667 1.0667
Inertia of section m4 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
Top Section Modulus m3 0.8407 0.8407 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8310 0.8407 0.8407
Bottom Section Modulus m3 0.5188 0.5188 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.4177 0.5188 0.5188

Details of Stage I prestressing


For Cable 1a
No of Tendons of 19T13 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
Prestressing Force (P1) KN 2454.00 2464.00 2510.00 2525.00 2540.00 2555.00 2569.00 2584.00 2594.00 2551.00 2541.00
CG of Tendons from Bottom m 0.3000 0.1705 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1705 0.3000
Eccentricity of Tendons m 0.4678 0.5973 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.5973 0.4678
Prestressing Factor (Top) -0.6203 -1.0165 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -1.0165 -0.6203
Prestressing Factor (Bottom) 2.3120 2.7275 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 2.7275 2.3120

For Cable 1b
No of Tendons of 19T13 1.000 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
Prestressing Force (P1) KN 2541.00 2551.00 2594.00 2584.00 2569.00 2555.00 2540.00 2525.00 2510.00 2464.00 2454.00
CG of Tendons from Bottom m 0.3000 0.1705 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1250 0.1705 0.3000
Eccentricity of Tendons m 0.4678 0.5973 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.6131 0.5973 0.4678
Prestressing Factor (Top) -0.6203 -1.0165 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -0.9996 -1.0165 -0.6203
Prestressing Factor (Bottom) 2.3120 2.7275 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 3.5419 2.7275 2.3120

For Cable 1c
No of Tendons of 19T13 0.684 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68
Prestressing Force (P1) KN 1669.47 1676.32 1681.11 1691.37 1731.05 1747.47 1731.05 1691.37 1681.11 1676.32 1669.47
CG of Tendons from Bottom m 0.9000 0.7313 0.6116 0.3552 0.1271 0.1250 0.1271 0.3552 0.6116 0.7313 0.9000
Eccentricity of Tendons m -0.1322 0.0365 0.1265 0.3829 0.6110 0.6131 0.6110 0.3829 0.1265 0.0365 -0.1322
Prestressing Factor (Top) 1.2156 0.6994 0.8312 -0.1335 -0.9917 -0.9996 -0.9917 -0.1335 0.8312 0.6994 1.2156
Prestressing Factor (Bottom) 0.3869 0.9282 1.7683 2.7028 3.5342 3.5419 3.5342 2.7028 1.7683 0.9282 0.3869

For Cable 1d
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 1e
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Combination of Stage 1 Cables


No of Tendons of 19T13 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68
Prestressing Force (P1) KN 6664.5 6691.3 6785.1 6800.4 6840.1 6857.5 6840.1 6800.4 6785.1 6691.3 6664.5
CG of Tendons from Bottom m 0.4503 0.3110 0.2456 0.1823 0.1255 0.1250 0.1255 0.1823 0.2456 0.3110 0.4503
Eccentricity of Tendons m 0.3175 0.4568 0.4925 0.5558 0.6126 0.6131 0.6126 0.5558 0.4925 0.4568 0.3175
Prestressing Factor (Top) -0.1604 -0.5866 -0.5460 -0.7842 -0.9976 -0.9996 -0.9976 -0.7842 -0.5460 -0.5866 -0.1604
Prestressing Factor (Bottom) 1.8298 2.2768 3.1025 3.3332 3.5400 3.5419 3.5400 3.3332 3.1025 2.2768 1.8298

Dead Load Moments - Ist stage Tm 0.0 323.5 560.1 938.1 1164.5 1239.6 1164.5 938.1 560.1 323.5 0.0

Stress Due to dead load


Top T/m2 0.0 989.8 2107.5 3529.5 4381.4 4664.0 4381.4 3529.5 2107.5 989.8 0.0
Bottom T/m2 0.0 -1037.9 -2041.6 -3419.2 -4244.6 -4518.3 -4244.6 -3419.2 -2041.6 -1037.9 0.0

Eloss of cable (1a) for stressing of (1a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1a) for stressing of (1b) KN 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79 78.79
Eloss of cable (1a) for stressing of (1c) KN 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82
Eloss of cable (1a) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1a) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1c) KN 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82 38.82
Eloss of cable (1b) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1b) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1c) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1d) for stressing of (1d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1d) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (1e) for stressing of (1e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 1 cables KN 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42 156.42

Stress after stressing of 1a


Top KN/m2 -1522.1 -1514.9 -401.5 1005.6 1842.5 2110.1 1813.5 946.6 -485.4 -1603.3 -1576.1
B
Bottom KN/m2
KN/ 5673 8
5673.8 5682 8
5682.8 6848 5
6848.5 5524 1
5524.1 4751 9
4751.9 4531 2
4531.2 4854 6
4854.6 5733 0
5733.0 7146 1 5920.1
7146.1 5920 1 5874.9
5874 9
Stress at CG of 1a KN/m2 4234.6 4864.6 6244.4 5147.5 4509.4 4329.5 4601.2 5334.2 6510.1 5064.9 4384.7
Avg stress for each segment KN/m2 4549.62 5554.51 5695.94 4828.47 4419.44 4465.31 4967.66 5922.13 5787.51 4724.81 0.00
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1a KN/m2 5054.30

Stress after stressing of 1b


Top KN/m2 -3049.3 -4027.9 -2915.6 -1498.6 -646.7 -365.1 -646.7 -1498.6 -2915.6 -4027.9 -3049.3
Bottom KN/m2 11366.5 12425.9 15757.2 14397.3 13572.0 13301.7 13572.0 14397.3 15757.2 12425.9 11366.5
Stress at CG of 1a KN/m2 8483.3 10555.6 14201.1 13072.6 12387.1 12162.8 12387.1 13072.6 14201.1 10555.6 8483.3
Avg stress for each segment KN/m2 9519.5 12378.4 13636.9 12729.8 12274.9 12274.9 12729.8 13636.9 12378.4 9519.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 7233.40
Stress at CG of 1b KN/m2 8483.3 10555.6 14201.1 13072.6 12387.1 12162.8 12387.1 13072.6 14201.1 10555.6 8483.3
Avg stress for each segment KN/m2 9519.5 12378.4 13636.9 12729.8 12274.9 12274.9 12729.8 13636.9 12378.4 9519.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1b KN/m2 12287.70
Check Eloss of cable (1a) for (1b) KN 78.79

Stress after stressing of 1c


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 3564.02
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Increase in Average Stress at CG of 1b KN/m2 3564.02


Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1c KN/m2 12688.25
Check Eloss of cable (1a) for (1c) KN 38.82
Check Eloss of cable (1b) for (1c) KN 38.82

Stress after stressing of 1d


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 0.00
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1b KN/m2 0.00
Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1c KN/m2 0.00
Stress at CG of 1d KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1d KN/m2 17671.20
Check Eloss of cable (1a) for (1d) KN 0.00
Check Eloss of cable (1b) for (1d) KN 0.00
Check Eloss of cable (1c) for (1d) KN 0.00

Stress after stressing of 1e


Top KN/m2 -971.8 -2776.5 -1440.6 -1646.7 -2285.7 -2034.2 -2285.7 -1646.7 -1440.6 -2776.5 -971.8
Bottom KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Stress at CG of 1a KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1a KN/m2 0.00
Stress at CG of 1b KN/m2 9272.0 11889.3 16796.9 16998.7 17606.5 17445.3 17606.5 16998.7 16796.9 11889.3 9272.0
Avg stress for each segment KN/m2 10580.6 14343.1 16897.8 17302.6 17525.9 17525.9 17302.6 16897.8 14343.1 10580.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1b KN/m2 0.00
Stress at CG of 1c KN/m2 4150.1 5703.1 10342.8 13877.2 17576.2 17445.3 17576.2 13877.2 10342.8 5703.1 4150.1
Avg stress for each segment KN/m2 4926.6 8022.9 12110.0 15726.7 17510.7 17510.7 15726.7 12110.0 8022.9 4926.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1c KN/m2 0.00
Stress at CG of 1d KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Increase in Average Stress at CG of 1d KN/m2 0.00
Stress at CG of 1e KN/m2 11833.0 13770.1 18454.8 18693.8 19414.9 19216.1 19414.9 18693.8 18454.8 13770.1 11833.0
Avg stress for each segment KN/m2 12801.5 16112.5 18574.3 19054.4 19315.5 19315.5 19054.4 18574.3 16112.5 12801.5 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 1e KN/m2 17671.20
Check Eloss of cable (1a) for (1e) KN 0.00
Check Eloss of cable (1b) for (1e) KN 0.00
Check Eloss of cable (1c) for (1e) KN 0.00
Check Eloss of cable (1d) for (1e) KN 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of Stage1 Cables


Top KN/m2 -1148.1 -3227.1 -1873.5 -2201.4 -2952.8 -2704.0 -2952.8 -2201.4 -1873.5 -3227.1 -1148.1
Bottom KN/m2 13099.2 15328.4 20580.1 20941.0 21781.2 21589.6 21781.2 20941.0 20580.1 15328.4 13099.2

Stress at CG of cable 1a KN/m2 10249.8 13219.3 18709.0 19012.5 19720.1 19565.1 19720.1 19012.5 18709.0 13219.3 10249.8
Stress at CG of cable 1b KN/m2 10249.8 13219.3 18709.0 19012.5 19720.1 19565.1 19720.1 19012.5 18709.0 13219.3 10249.8
Stress at CG of cable 1c KN/m2 4550.9 6282.0 11425.0 15460.9 19685.4 19565.1 19685.4 15460.9 11425.0 6282.0 4550.9
Stress at CG of cable 1d KN/m2 13099.2 15328.4 20580.1 20941.0 21781.2 21589.6 21781.2 20941.0 20580.1 15328.4 13099.2
Stress at CG of cable 1e KN/m2 13099.2 15328.4 20580.1 20941.0 21781.2 21589.6 21781.2 20941.0 20580.1 15328.4 13099.2

Losses From 21 to 28 day

Creep loss due to GR I Tendons KN 60.35 60.35 60.35 60.35 60.35 60.35 60.35 60.35 60.35 60.35 60.35
Shrinkage loss due to GR I Tendons KN 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65 19.65
=(0.00034-0.00032)*2.684*0.0018772*195000000*1
Relaxation loss due to GR I Tendons
Relaxation factor =
=((28-21) * 24/1000)^0.143 0.775
Relaxation loss due to GR I Tendons KN 138.33 140.37 147.48 148.64 151.65 152.97 151.65 148.64 147.48 140.37 138.33
=0.775*(1-(0.7-(1*(6664.47368441053-156.42)/(2.684*3,490.3)))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1

Total Loss (C+S+R) KN 218.33 220.37 227.48 228.64 231.65 232.97 231.65 228.64 227.48 220.37 218.33

Stress Due to C+S+R


Top KN/m2 35.0 129.3 124.2 179.3 231.1 232.9 231.1 179.3 124.2 129.3 35.0
Bottom KN/m2 -399.5 -501.7 -705.7 -762.1 -820.0 -825.2 -820.0 -762.1 -705.7 -501.7 -399.5

Stress before stressing of GR II cables at 28 day


Top KN/m2 -1109.6 -3084.9 -1736.9 -2004.2 -2698.6 -2447.9 -2698.6 -2004.2 -1736.9 -3084.9 -1109.6
Bottom KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8

Stress at CG of Stage 1 Cables KN/m2 8526.2 11073.4 16277.4 17416.6 18906.0 18754.4 18906.0 17416.6 16277.4 11073.4 8526.2
Stress at CG of Stage 2 Cables KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8

Avg stress for each segment KN/m2 9799.8 13675.4 16847.0 18161.3 18830.2 18830.2 18161.3 16847.0 13675.4 9799.8 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 1 Cables KN/m2 16163.75
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 2 Cables KN/m2 18988.49

Creep loss (check) KN 60.35


=(0.000484-0.000446)*2.684*0.0018772*195000000*1*16,163.75/10000
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of Stage 2 prestressing

For Cable 2a
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2b
No of Tendons of 19T13 0.000 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2c
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2d
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

For Cable 2e
No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

Combination of Stage 2 Cables


No of Tendons of 19T13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Prestressing Force (P1) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CG of Tendons from Bottom m 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Eccentricity of Tendons m 0.7678 0.7678 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7381 0.7678 0.7678
Prestressing Factor (Top) -1.5382 -1.5382 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.4699 -1.5382 -1.5382
Prestressing Factor (Bottom) 3.2746 3.2746 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.9975 3.2746 3.2746

Eloss of Stage 1 cables for stressing of (2a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of Stage 1 cables for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2a) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2a) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2b) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2b) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2c) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2c) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2d) for stressing of (2d) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2d) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Eloss of cable (2e) for stressing of (2e) KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 1 cables KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Total Eloss for Stage 2 cables KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of 2a


Top KN/m2 -1109.6 -3084.9 -1736.9 -2004.2 -2698.6 -2447.9 -2698.6 -2004.2 -1736.9 -3084.9 -1109.6
Bottom KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Stress at CG of Stage 1 Cables KN/m2 8526.2 11073.4 16277.4 17416.6 18906.0 18754.4 18906.0 17416.6 16277.4 11073.4 8526.2
Avg stress for each segment KN/m2 9799.8 13675.4 16847.0 18161.3 18830.2 18830.2 18161.3 16847.0 13675.4 9799.8 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2a KN/m2 18988.49
Check Eloss of Stage 1 cables for (2a) KN 0.00

Stress after stressing of 2b


Top KN/m2 -1109.6 -3084.9 -1736.9 -2004.2 -2698.6 -2447.9 -2698.6 -2004.2 -1736.9 -3084.9 -1109.6
Bottom KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Stress at CG of Stage 1 Cables KN/m2 8526.2 11073.4 16277.4 17416.6 18906.0 18754.4 18906.0 17416.6 16277.4 11073.4 8526.2
Avg stress for each segment KN/m2 9799.8 13675.4 16847.0 18161.3 18830.2 18830.2 18161.3 16847.0 13675.4 9799.8 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2b 0.00
Stress at CG of 2b KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2b KN/m2 18988.49
Check Eloss of Stage 1 cables for (2b) KN 0.00
Check Eloss of Cable (2a) for (2b) KN 0.00

Stress after stressing of 2c


Top KN/m2 -1109.6 -3084.9 -1736.9 -2004.2 -2698.6 -2447.9 -2698.6 -2004.2 -1736.9 -3084.9 -1109.6
Bottom KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Stress at CG of Stage 1 Cables KN/m2 8526.2 11073.4 16277.4 17416.6 18906.0 18754.4 18906.0 17416.6 16277.4 11073.4 8526.2
Avg stress for each segment KN/m2 9799.8 13675.4 16847.0 18161.3 18830.2 18830.2 18161.3 16847.0 13675.4 9799.8 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2c 0.00
Stress at CG of 2b KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2c 0.00
Stress at CG of 2c KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2c KN/m2 18988.49
Check Eloss of Stage 1 cables for (2c) KN 0.00
Check Eloss of Cable (2a) for (2c) KN 0.00
Check Eloss of Cable (2b) for (2c) KN 0.00
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress after stressing of 2d


Top KN/m2 -1109.6 -3084.9 -1736.9 -2004.2 -2698.6 -2447.9 -2698.6 -2004.2 -1736.9 -3084.9 -1109.6
Bottom KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Stress at CG of Stage 1 Cables KN/m2 8526.2 11073.4 16277.4 17416.6 18906.0 18754.4 18906.0 17416.6 16277.4 11073.4 8526.2
Avg stress for each segment KN/m2 9799.8 13675.4 16847.0 18161.3 18830.2 18830.2 18161.3 16847.0 13675.4 9799.8 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2d 0.00
Stress at CG of 2b KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2d 0.00
Stress at CG of 2c KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2c for 2d 0.00
Stress at CG of 2d KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2d KN/m2 18988.49
Check Eloss of Stage 1 cables for (2d) KN 0.00
Check Eloss of Cable (2a) for (2d) KN 0.00
Check Eloss of Cable ((2b)) for (2d)
( ) KN 0.00
Check Eloss of Cable (2c) for (2d) KN 0.00

Stress after stressing of 2e


Top KN/m2 -1109.6 -3084.9 -1736.9 -2004.2 -2698.6 -2447.9 -2698.6 -2004.2 -1736.9 -3084.9 -1109.6
Bottom KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Stress at CG of Stage 1 Cables KN/m2 8526.2 11073.4 16277.4 17416.6 18906.0 18754.4 18906.0 17416.6 16277.4 11073.4 8526.2
Avg stress for each segment KN/m2 9799.8 13675.4 16847.0 18161.3 18830.2 18830.2 18161.3 16847.0 13675.4 9799.8 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress at CG of Stage 1 Cables KN/m2 0.00
Stress at CG of 2a KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2a for 2e 0.00
Stress at CG of 2b KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2b for 2e 0.00
Stress at CG of 2c KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2c for 2e 0.00
Stress at CG of 2d KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Inc. in Avg Stress of 2d for 2e 0.00
Stress at CG of 2e KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of 2e KN/m2 18988.49
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Check Eloss of Stage 1 cables for (2e) KN 0.00


Check Eloss of Cable (2a) for (2e) KN 0.00
Check Eloss of Cable (2b) for (2e) KN 0.00
Check Eloss of Cable (2c) for (2e) KN 0.00
Check Eloss of Cable (2d) for (2e) KN 0.00

Stress after stressing of Stage2 Cables


Top KN/m2 -1109.6 -3084.9 -1736.9 -2004.2 -2698.6 -2447.9 -2698.6 -2004.2 -1736.9 -3084.9 -1109.6
Bottom KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8

Stress at CG of Stage 1 Cables KN/m2 8526.2 11073.4 16277.4 17416.6 18906.0 18754.4 18906.0 17416.6 16277.4 11073.4 8526.2
Stress at CG of Stage 2 Cables KN/m2 12659.8 14776.5 19803.8 20102.7 20879.2 20681.9 20879.2 20102.7 19803.8 14776.5 12659.8

Avg stress for each segment KN/m2 9799.8 13675.4 16847.0 18161.3 18830.2 18830.2 18161.3 16847.0 13675.4 9799.8 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 1 Cables KN/m2 16163.75
Avg stress for each segment KN/m2 13718.2 17290.2 19953.2 20490.9 20780.5 20780.5 20490.9 19953.2 17290.2 13718.2 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Stage 2 Cables KN/m2 18988.49

Shuttering Load Moments KNm 0.00 196.88 347.26 596.43 745.93 795.77 745.93 596.43 347.26 196.88 0.00
Stress due to shuttering load (for casting of Deck Slab)
Top KN/m2 0.0 602.4 1306.6 2244.0 2806.5 2994.1 2806.5 2244.0 1306.6 602.4 0.0
Bottom KN/m2 0.0 -631.7 -1265.7 -2174.0 -2718.9 -2900.5 -2718.9 -2174.0 -1265.7 -631.7 0.0

Dead Load Moments -IInd stage


g KNm 0.0 263.8 465.2 799.0 999.3 1066.1 999.3 799.0 465.2 263.8 0.0
Stress Due to dead load
Top KN/m2 0.0 807.0 1750.4 3006.3 3759.9 4011.1 3759.9 3006.3 1750.4 807.0 0.0
Bottom KN/m2 0.0 -846.2 -1695.7 -2912.4 -3642.5 -3885.8 -3642.5 -2912.4 -1695.7 -846.2 0.0

Stress at CG of GR I Tendons KN/m2 0.0 -503.5 -1131.5 -2193.3 -3023.0 -3227.7 -3023.0 -2193.3 -1131.5 -503.5 0.0
Stress at CG of GR II Tendons KN/m2 0.0 -846.2 -1695.7 -2912.4 -3642.5 -3885.8 -3642.5 -2912.4 -1695.7 -846.2 0.0

Stress due to release of shuttering load


Top KN/m2 0.0 -234.2 -417.9 -717.7 -897.6 -957.6 -897.6 -717.7 -417.9 -234.2 0.0
Top of Girder KN/m2 0.00 -154.15 -254.92 -437.84 -547.59 -584.17 -547.59 -437.84 -254.92 -154.15 0.00
Bottom KN/m2 0.00 379.49 831.40 1427.95 1785.88 1905.20 1785.88 1427.95 831.40 379.49 0.00

Stress after release of shuttering load


Top of Deck Slab KN/m2 0.0 -234.2 -417.9 -717.7 -897.6 -957.6 -897.6 -717.7 -417.9 -234.2 0.0
Top of Girder KN/m2 -1109.6 -1829.7 1065.1 2808.3 3320.3 3973.1 3320.3 2808.3 1065.1 -1829.7 -1109.6
Bottom KN/m2 12659.8 13678.1 17673.7 16444.3 16303.7 15800.8 16303.7 16444.3 17673.7 13678.1 12659.8
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Losses from 28 to 56 day

Creep Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Shrinkage Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
=(0.000320-0.000280)*0.00*0.0018772*195000000*1
Relaxation Loss of Gr. II Tendons KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Creep Loss of Gr I Tendons KN 101.68 101.68 101.68 101.68 101.68 101.68 101.68 101.68 101.68 101.68 101.68
Shrinkage loss of Gr I Tendons KN 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30 39.30
=(0.00032-0.00028)*2.684*0.0018772*195000000*1
Relaxation loss of Gr. I Tendons KN 35.80 36.33 38.17 38.47 39.25 39.59 39.25 38.47 38.17 36.33 35.80

Total Loss due to C + S + R KN 176.78 177.31 179.15 179.45 180.22 180.57 180.22 179.45 179.15 177.31 176.78

Stresses due to C + S + R
Top of Deck Slab KN/m2 37.0 66.5 70.1 83.9 96.6 96.9 96.6 83.9 70.1 66.5 37.0
Top of Girder KN/m2 -7.3 12.0 -5.7 2.6 10.1 10.2 10.1 2.6 -5.7 12.0 -7.3
Bottom KN/m2 -302.7 -351.2 -511.5 -539.5 -566.3 -567.6 -566.3 -539.5 -511.5 -351.2 -302.7

Prestressing factor for composite section


Stage 1 Cables Top -0.209 -0.375 -0.391 -0.468 -0.536 -0.537 -0.536 -0.468 -0.391 -0.375 -0.209
Bottom 1.712 1.981 2.855 3.007 3.142 3.144 3.142 3.007 2.855 1.981 1.712
Stage 2 Cables Top -0.745 -0.745 -0.687 -0.687 -0.687 -0.687 -0.687 -0.687 -0.687 -0.745 -0.745
Bottom 2.580 2.580 3.443 3.443 3.443 3.443 3.443 3.443 3.443 2.580 2.580

Stress at 56nd day before laying SIDL


Top of Deck Slab KN/m2 40.7 -161.1 -340.7 -625.4 -791.4 -851.0 -791.4 -625.4 -340.7 -161.1 40.7
Top of Girder KN/m2 -1117.6 -1816.5 1058.8 2811.2 3331.4 3984.3 3331.4 2811.2 1058.8 -1816.5 -1117.6
Bottom KN/m2 12326.8 13291.8 17111.1 15850.8 15680.8 15176.4 15680.8 15850.8 17111.1 13291.8 12326.8

Stress at CG of Tendon I KN/m2 9119.6 10866.4 14626.8 14110.0 14482.1 14015.0 14482.1 14110.0 14626.8 10866.4 9119.6
Stress at CG of Tendon II KN/m2 12326.8 13291.8 17111.1 15850.8 15680.8 15176.4 15680.8 15850.8 17111.1 13291.8 12326.8

Avg stress for each segment KN/m2 9993.0 12746.6 14368.4 14296.0 14248.5 14248.5 14296.0 14368.4 12746.6 9993.0 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRI KN/m2 13440.48
Avg stress for each segment KN/m2 12809.3 15201.4 16481.0 15765.8 15428.6 15428.6 15765.8 16481.0 15201.4 12809.3 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRII KN/m2 15322.06

Relaxation Factor
=((56-28) * 24/1000)^0.143 0.945
Relaxation Loss of Gr. II Cables at mid span
=0.945*(1-(0.7-1*(0.0-0.00)/(0.000000000001*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*0.000000000001*1
Check for Creep Loss of Gr II Cables
=(0.000446-0.000369)*0.000000000001*0.0018772*195000000*1*15,322.06/10000 = 0.00

Relaxation Factor
=((56-21) * 24/1000)^0.143 - 0.775 0.201
Relaxation Loss of Gr. I Cables at mid span
=0.201*(1-(0.7-1*(6664.474-156.42)/(2.684*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1
Check for Creep Loss of Gr I Cables
=(0.000446-0.000369)*2.684*0.0018772*195000000*1*13,440.48/10000 101.68
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

SIDL applied at 56nd day KNm 0.00 108.49 192.71 346.53 447.95 483.29 447.95 346.53 192.71 108.49 0.00
Stress due to SIDL
Top of Deck Slab KN/m2 0.0 129.1 231.9 417.0 539.0 581.6 539.0 417.0 231.9 129.1 0.0
Top of Girder KN/m2 0.0 84.9 141.5 254.4 328.8 354.8 328.8 254.4 141.5 84.9 0.0
Bottom KN/m2 0.0 -209.1 -461.4 -829.6 -1072.5 -1157.1 -1072.5 -829.6 -461.4 -209.1 0.0

Stress at CG of Gr I Tendons KN/m2 0.00 -148.15 -362.69 -697.93 -955.2 -1031.1 -955.2 -697.9 -362.7 -148.2 0.0
Stress at CG of Gr II Tendons KN/m2 0.00 -209.12 -461.38 -829.65 -1072.5 -1157.1 -1072.5 -829.6 -461.4 -209.1 0.0

Creep, Shrinkage & Relaxation losses from 56 day upto infinity

Creep loss of Gr. II KN =0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Shrinkage loss of Gr. II KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
=(0.00028)*0.000000000001*0.0018772*195000000*1
Relaxation loss of Gr. II KN 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Creep loss of Gr. I KN =363.05 363.05 363.05 363.05 363.05 363.05 363.05 363.05 363.05 363.05 363.05
Shrinkage loss of Gr. I KN 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10 275.10
=(0.00028)*2.684*0.0018772*195000000*1
Relaxation loss of Gr. I KN 361.46 366.78 385.36 388.39 396.25 399.70 396.25 388.39 385.36 366.78 361.46

Total Loss due to C+S+R 999.61 1004.93 1023.51 1026.54 1034.40 1037.85 1034.40 1026.54 1023.51 1004.93 999.61

Stress due to C+S+R


Top of Deck Slab KN/m2 209.0 376.7 400.7 480.1 554.4 556.9 554.4 480.1 400.7 376.7 209.0
Top of Girder KN/m2 -41.5 67.9 -32.7 14.9 58.1 58.7 58.1 14.9 -32.7 67.9 -41.5
Bottom KN/m2 -1711.6 -1990.6 -2922.2 -3086.4 -3250.5 -3262.7 -3250.5 -3086.4 -2922.2 -1990.6 -1711.6

Stress during Service at infinity


Top of Deck Slab KN/m2 270.6 382.3 331.9 319.7 357.5 343.1 357.5 319.7 331.9 382.3 270.6
Top of Girder KN/m2 -1163.3 -1656.8 1164.3 3082.0 3724.1 4403.7 3724.1 3082.0 1164.3 -1656.8 -1163.3
Bottom KN/m2 10444 1
10444.1 10893 0
10893.0 13435 4
13435.4 11626 1
11626.1 11032 8 10430.4
11032.8 10430 4 11032.8
11032 8 11626.1
11626 1 13435.4
13435 4 10893.0
10893 0 10444.1
10444 1

Maximum permissible compressive stress KN/m2 21600


Maximum permissible tensile stress KN/m2 -3300
OK
OK
Stress at CG of Tendon I KN/m2 6959.5 8291.1 11426.5 10588.0 10421.1 9928.1 10421.1 10588.0 11426.5 8291.1 6959.5
Stress at CG of Tendon II KN/m2 10444.1 10893.0 13435.4 11626.1 11032.8 10430.4 11032.8 11626.1 13435.4 10893.0 10444.1

Avg stress for each segment KN/m2 7625.3 9858.8 11007.3 10504.6 10174.6 10174.6 10504.6 11007.3 9858.8 7625.3 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRI KN/m2 10014.19
Avg stress for each segment KN/m2 10668.6 12164.2 12530.8 11329.4 10731.6 10731.6 11329.4 12530.8 12164.2 10668.6 0.0
Segment length m 1.85 1.31 2.81 2.81 2.81 2.81 2.81 2.81 1.31 1.85 -23.20
length m 23.20
Average Stress at CG of Tendon GRII KN/m2 11464.80
Relaxation Factor for Gr II =
3-0.945 2.055
Relaxation Loss of Gr. II Cables at mid span
=2.055*(1-(0.7-1*(0.0-0.00)/(0.000000000001*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*0.000000000001*1
Check for Creep Loss of Gr II Cables
=(0.000369)*0.000000000001*0.0018772*195000000*1*11,464.80/10000 = =0.00

Relaxation Factor for Gr I =


3-0.775-0.201 2.025
Relaxation Loss of Gr. I Cables at mid span
=2.025*(1-(0.7-1*(6664.474-156.42)/(2.684*3,490.3))/0.2)*2.5/100*(0.783*3,490.3)*2.684*1
Check for Creep Loss of Gr I Cables
=(0.000369)*2.684*0.0018772*195000000*1*10,014.19/10000 = =363.05
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Moment Due to Live Load (Sagging) KNm 0.00 646.15 1212.57 1930.37 2327.10 2444.95 2327.10 1930.37 1212.57 646.15 0.00
Stresses due to Live Load (Sagging)
Top of Deck Slab KN/m2 0.0 768.6 1459.1 2322.9 2800.3 2942.1 2800.3 2322.9 1459.1 768.6 0.0
Top of Girder KN/m2 0.0 505.9 890.1 1417.1 1708.3 1794.8 1708.3 1417.1 890.1 505.9 0.0
Bottom KN/m2 0.0 -1245.5 -2903.1 -4621.6 -5571.5 -5853.6 -5571.5 -4621.6 -2903.1 -1245.5 0.0

Stress at service with Live Load (Sagging)


Top of Deck Slab KN/m2 270.6 1150.9 1791.1 2642.6 3157.8 3285.2 3157.8 2642.6 1791.1 1150.9 270.6
Top of Girder KN/m2 -1163.3 -1150.9 2054.5 4499.0 5432.5 6198.5 5432.5 4499.0 2054.5 -1150.9 -1163.3
Bottom KN/m2 10444.1 9647.6 10532.3 7004.5 5461.3 4576.8 5461.3 7004.5 10532.3 9647.6 10444.1
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress due to Differential Shrinkage & Creep


P KNm 789.5 789.5 789.5 789.5 789.5 789.5 789.5 789.5 789.5 789.5 789.5
e m 0.55 0.55 0.46 0.46 0.46 0.46 0.46 0.46 0.46 0.55 0.55
Top of Deck Slab KN/m2 -243.2 -243.2 -180.1 -180.1 -180.1 -180.1 -180.1 -180.1 -180.1 -243.2 -243.2
Bottom of Deck Slab KN/m2 -418.4 -418.4 -352.1 -352.1 -352.1 -352.1 -352.1 -352.1 -352.1 -418.4 -418.4
Top of Girder KN/m2 751.2 751.2 817.5 817.5 817.5 817.5 817.5 817.5 817.5 751.2 751.2
Bottom KN/m2 -416.8 -416.8 -329.7 -329.7 -329.7 -329.7 -329.7 -329.7 -329.7 -416.8 -416.8

Stress at service with differential shrinkage and differential creep effect (with Live Load)
Top of Deck Slab KN/m2 27.4 907.7 1611.0 2462.5 2977.7 3105.2 2977.7 2462.5 1611.0 907.7 27.4
Top of Girder KN/m2 -412.1 -399.7 2871.9 5316.5 6249.9 7016.0 6249.9 5316.5 2871.9 -399.7 -412.1
Bottom KN/m2 10027.3 9230.8 10202.6 6674.8 5131.6 4247.0 5131.6 6674.8 10202.6 9230.8 10027.3
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at service with differential shrinkage and differential creep effect (without Live Load)
Topp of Deck Slab KN/m2 27.4 139.1 151.9 139.6 177.4 163.1 177.4 139.6 151.9 139.1 27.4
Top of Girder KN/m2 -412.1 -905.7 1981.8 3899.4 4541.6 5221.1 4541.6 3899.4 1981.8 -905.7 -412.1
Bottom KN/m2 10027.3 10476.3 13105.7 11296.4 10703.0 10100.6 10703.0 11296.4 13105.7 10476.3 10027.3
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at service with differential shrinkage and differential creep effect (with 75% Live Load)
Top of Deck Slab KN/m2 27.4 715.5 1246.2 1881.8 2277.6 2369.6 2277.6 1881.8 1246.2 715.5 27.4
Top of Girder KN/m2 -412.1 -526.2 2649.4 4962.2 5822.8 6567.2 5822.8 4962.2 2649.4 -526.2 -412.1
Bottom KN/m2 10027.3 9542.2 10928.3 7830.2 6524.4 5710.4 6524.4 7830.2 10928.3 9542.2 10027.3
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress due to Temp (Rise) (Eigen stresses)


Top of Deck Slab KN/m2 4386.2 4386.2 4189.3 4189.3 4189.3 4189.3 4189.3 4189.3 4189.3 4386.2 4386.2
Top of Girder KN/m2 -702.7 -702.7 -910.2 -910.2 -910.2 -910.2 -910.2 -910.2 -910.2 -702.7 -702.7
Bottom KN/m2 2132.2 2132.2 1854.1 1854.1 1854.1 1854.1 1854.1 1854.1 1854.1 2132.2 2132.2

Stress at Service with 75% Live Load (sag) + Temp rise


Top of Deck Slab KN/m2 4413.6 5101.7 5435.5 6071.1 6466.9 6558.9 6466.9 6071.1 5435.5 5101.7 4413.6
Top of Girder KN/m2 -1114.8 -1228.9 1739.2 4052.0 4912.6 5657.0 4912.6 4052.0 1739.2 -1228.9 -1114.8
Bottom KN/m2 12159.5 11674.4 12782.4 9684.3 8378.5 7564.5 8378.5 9684.3 12782.4 11674.4 12159.5
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at Service with 100% Live Load (sag) + Temp rise 60%
Top of Deck Slab KN/m2 2659.1 3539.4 4124.6 4976.1 5491.3 5618.7 5491.3 4976.1 4124.6 3539.4 2659.1
Top of Girder KN/m2 -833.7 -821.4 2325.8 4770.4 5703.8 6469.8 5703.8 4770.4 2325.8 -821.4 -833.7
Bottom KN/m2 11306.6 10510.1 11315.0 7787.3 6244.0 5359.5 6244.0 7787.3 11315.0 10510.1 11306.6
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress due to Temp (Fall) (Eigen Stresses)


Top of Deck Slab KN/m2 -2446.8 -2446.8 -2285.6 -2285.6 -2285.6 -2285.6 -2285.6 -2285.6 -2285.6 -2446.8 -2446.8
Top of Girder KN/m2 915.8 915.8 1110.3 1110.3 1110.3 1110.3 1110.3 1110.3 1110.3 915.8 915.8
Bottom KN/m2 -2905.6 -2905.6 -2488.4 -2488.4 -2488.4 -2488.4 -2488.4 -2488.4 -2488.4 -2905.6 -2905.6
Item Unit 1 2 3 4 5 6 7 8 9 10 11

Chainage of Section from left support m 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Stress at Service with 75% Live Load (sag) + Temp Fall


Top of Deck Slab KN/m2 -2419.4 -1731.3 -1039.4 -403.8 -8.0 84.0 -8.0 -403.8 -1039.4 -1731.3 -2419.4
Top of Girder KN/m2 503.7 389.6 3759.7 6072.5 6933.1 7677.5 6933.1 6072.5 3759.7 389.6 503.7
Bottom KN/m2 7121.7 6636.6 8439.9 5341.8 4036.0 3222.0 4036.0 5341.8 8439.9 6636.6 7121.7
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at Service with 100% Live Load (sag) + Temp Fall 60%
Top of Deck Slab KN/m2 -1440.7 -560.4 239.6 1091.1 1606.3 1733.8 1606.3 1091.1 239.6 -560.4 -1440.7
Top of Girder KN/m2 137.4 149.7 3538.1 5982.7 6916.1 7682.1 6916.1 5982.7 3538.1 149.7 137.4
Bottom KN/m2 8283.9 7487.4 8709.5 5181.8 3638.5 2754.0 3638.5 5181.8 8709.5 7487.4 8283.9
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Moment Due to Vertical wind (Sagging) KNm 0.00 92.53 163.95 280.67 350.13 373.19 350.13 280.67 163.95 92.53 0.00
Stresses due to Vertical wind (Sagging)
Top of Deck Slab KN/m2 0.0 110.1 197.3 337.7 421.3 449.1 421.3 337.7 197.3 110.1 0.0
Top of Girder KN/m2 0.0 72.4 120.4 206.0 257.0 274.0 257.0 206.0 120.4 72.4 0.0
Bottom KN/m2 0.0 -178.4 -392.5 -672.0 -838.3 -893.5 -838.3 -672.0 -392.5 -178.4 0.0

Stress at Service with 100% Live Load (sag) + wind 60%


Top of Deck Slab KN/m2 27.4 973.7 1729.4 2665.1 3230.5 3374.6 3230.5 2665.1 1729.4 973.7 27.4
Top of Girder KN/m2 -412.1 -356.3 2944.1 5440.1 6404.1 7180.3 6404.1 5440.1 2944.1 -356.3 -412.1
Bottom KN/m2 10027.3 9123.8 9967.1 6271.6 4628.6 3711.0 4628.6 6271.6 9967.1 9123.8 10027.3
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK

Stress at Service with 75% Live Load (sag) + wind


Top of Deck Slab KN/m2 27.4 825.6 1443.5 2219.5 2698.9 2818.7 2698.9 2219.5 1443.5 825.6 27.4
Top of Girder KN/m2 -412.1 -453.8 2769.7 5168.3 6079.9 6841.2 6079.9 5168.3 2769.7 -453.8 -412.1
Bottom KN/m2 10027.33
10027 9363 8
9363.8 10535 8
10535.8 7158 2
7158.2 5686 2
5686.2 4817 0
4817.0 5686 2
5686.2 7158 2 10535.8
7158.2 10535 8 9363.8
9363 8 10027.3
10027 3
From Compressive Stress Consideration OK
From Tensile Stress Consideration OK
CHECK FOR ULTIMATE LIMIT STATE (BASIC COMBINATION)- SUPERIOR
ITEM UNITS Distance from left support
(m) 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of prestressing

Net prestressing force in Stage 1 (KN) 5624.7 5645.5 5718.4 5730.3 5761.1 5774.6 5761.1 5730.3 5718.4 5645.5 5624.7
No of Tendons in Stage-1 prestressing 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684
Distance from bottom of Stage 1 (m) 0.4503 0.3110 0.2456 0.1823 0.1255 0.1250 0.1255 0.1823 0.2456 0.3110 0.4503
Net prestressing force in Stage 2 (KN) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
No of Tendons in Stage-2 prestressing 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Distance from bottom of Stage 2 (m) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Net horizontal prestressing force (KN) 5624.7 5645.5 5718.4 5730.3 5761.1 5774.6 5761.1 5730.3 5718.4 5645.5 5624.7
Net eccentricity from bottom (m) 0.4503 0.3110 0.2456 0.1823 0.1255 0.1250 0.1255 0.1823 0.2456 0.3110 0.4503
Vertical Component of Stage 1 Prestressing (KN) 502.2 504.8 153.3 154.2 33.6 0.0 33.6 154.2 153.3 504.8 502.2
Vertical Component of Stage 2 Prestressing (KN) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Total Vertical Component of Prestress (KN) 502.2 504.8 153.3 154.2 33.6 0.0 33.6 154.2 153.3 504.8 502.2
Total area of Prestress cable (Ap) 2 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050
(m )

Section Properties
Width of deck slab (m) 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000
Width of Bottom Flange (m) 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800
Width of web Bw (m) 0.800 0.800 0.356 0.300 0.300 0.300 0.300 0.300 0.383 0.750 0.750
Duct Dia Dduct m 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085
Effective width of Web (Bw-0.5*Dduct) m 0.758 0.758 0.314 0.258 0.258 0.258 0.258 0.258 0.340 0.708 0.708
Depth of beam only (m) 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500
Depth of deck only (m) 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225
Depth of Bottom Flange (m) 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
Over all depth (m) 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
Area of composite section (m2) 1.9079 1.9079 1.4400 1.4400 1.4400 1.4400 1.4400 1.4400 1.4400 1.9079 1.9079
C.G. of composite section from bottom (m) 1.0667 1.0667 1.1480 1.1480 1.1480 1.1480 1.1480 1.1480 1.1480 1.0667 1.0667
Moment of inertia-composite section (m4) 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
fck 2 45000 45000 45000 45000 45000 45000 45000 45000 45000 45000 45000
KN/m
Ec 2
KN/m 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07
Ep 2
KN/m 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08
Es 2
KN/m 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08
Area of Reinforcement at bottom (As) (m2) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
fy = (MPa) 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0
Flexural capacity

Compressive prestress at soffit 2


KN/m 9631 11183 16326 17229 18104 18154 18104 17229 16326 11183 9631
Mean value of axial tensile strength of conc. 2
KN/m 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0
Uncr moment capacity of section for bottom fiber KNm 6708.5 7513.5 8197.5 8574.4 8939.9 8960.8 8939.9 8574.4 8197.5 7513.5 6708.5
Compressive/Tensile prestress at top 2
KN/m -1176.1 -2116.1 -2238.7 -2679.9 -3087.5 -3098.5 -3087.5 -2679.9 -2238.7 -2116.1 -1176.1
Maximum permissible compressive stress 2
KN/m 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0
Uncr moment capacity of section for top fiber KNm 19146.8 19936.9 19810.5 20177.1 20515.9 20525.0 20515.9 20177.1 19810.5 19936.9 19146.8
Uncracked moment capacity of section KNm 6708.5 7513.5 8197.5 8574.4 8939.9 8960.8 8939.9 8574.4 8197.5 7513.5 6708.5

Prestrain in cables (εpe) 5.7E-03 5.7E-03 5.8E-03 5.8E-03 5.9E-03 5.9E-03 5.9E-03 5.8E-03 5.8E-03 5.7E-03 5.7E-03
Comp strain in concrete at tendon level εce) 2.0E-04 2.6E-04 4.0E-04 4.4E-04 4.9E-04 4.9E-04 4.9E-04 4.4E-04 4.0E-04 2.6E-04 2.0E-04
ε0)
Compressive strain at top fiber ( 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035
Let assume depth of neutral axis from top(dn) m 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046
Depth of Reinforcement, As form top (ds) m 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667
Depth of Prestressing cable, Ap form top (dp) m 1.275 1.414 1.479 1.543 1.599 1.600 1.599 1.543 1.479 1.414 1.275
Tensile strain in concrete at tendon level εcp) 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830
εs)
Tensile strain in reinforcement ( 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181
Total strain at prestressing steel εp) = 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03
Tensile force at prestressing steel (Tp) = KN 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1
Tensile force at Reinforcement (Ts) = KN 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Compressive force in concrete, (C) = KN 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1
Check (C) = (Tp) + (Ts) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Lever arm of (C) from top fiber = m 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015
Cracked moment capacity of section KNm 10264.9 11400.3 11933.6 12449.5 12911.8 12916.2 12911.8 12449.5 11933.6 11400.3 10264.9

Dead Load moment KNm 0.0 587.2 1025.4 1737.1 2163.8 2305.7 2163.8 1737.1 1025.4 587.2 0.0
SIDL moment KNm 0.0 108.5 192.7 346.5 448.0 483.3 448.0 346.5 192.7 108.5 0.0
LL moment KNm 0.0 646.1 1212.6 1930.4 2327.1 2445.0 2327.1 1930.4 1212.6 646.1 0.0
Vertical Wind moment KNm 0.0 92.5 164.0 280.7 350.1 373.2 350.1 280.7 164.0 92.5 0.0
Factor for DL 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35
Factor for SIDL 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52
Factor for LL 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
Factor for Vertical Wind 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
Ultimate moment KNm 0.0 2010.2 3643.5 6020.0 7407.8 7850.6 7407.8 6020.0 3643.5 2010.2 0.0
OK OK OK OK OK OK OK OK OK OK OK
Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr
Shear capacity

Uncracked Shear resistance Calculation :


Second moment of inertia of gross section(I)= (m4) 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
1st moment of area above CG about CG (S) = (m3) 0.4435 0.4435 0.3356 0.3321 0.3321 0.3321 0.3321 0.3321 0.3372 0.4388 0.4388
Effective width of Web (bwc) = m 0.758 0.758 0.314 0.258 0.258 0.258 0.258 0.258 0.340 0.708 0.708
Design value of conc. tensile strength(fctd)= (KN/m2) 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3
Constant factor (k1) = 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
Conc. comp. stress due to prestressing σcp)= (KN/m2) 2948.1 2959.0 3971.1 3979.3 4000.8 4010.2 4000.8 3979.3 3971.1 2959.0 2948.1
Uncracked Shear resistance = KN 2477.7 2480.7 1302.9 1080.9 1082.9 1083.9 1082.9 1080.9 1404.5 2341.7 2338.9

Cracked Shear resistance Calculation :


depth (d) = mm 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725
Constant factor (K) = 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341
2
Longitudinal reinforcement (Asl) = (m ) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
Min. width of the section over depth (bw) = m 0.800 0.800 0.356 0.300 0.300 0.300 0.300 0.300 0.383 0.750 0.750
p1 = 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Cracked Shear resistance = KN 2018.7 2021.0 993.7 837.1 838.7 839.5 838.7 837.1 1066.5 1894.7 1892.6

Dead Load shear KN 474.51 360.07 304.16 202.75 101.8 0 101.8 202.75 304.16 360.07 474.51
SIDL shear KN 105.6 68.11 63.07 46.19 27.58 0.411 27.58 46.19 63.07 68.11 105.6
LL shear KN 438.2 431.6 431.6 336.4 270.1 216.8 270.1 336.4 431.6 431.6 438.2
Vertical Wind shear KN 67.4 58.4 50.5 33.0 16.3 0.0 16.3 33.0 50.5 58.4 67.4
Factor for DL 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35
Factor for SIDL 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52
Factor for LL 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
Factor for Vertical Wind 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9
Ultimate shear KN 1519.0 1289.6 1199.3 878.3 599.1 325.9 599.1 878.3 1199.3 1289.6 1519.0
Governing Shear resistance KN 2477.7 2480.7 1302.9 1080.9 1082.9 1083.9 1082.9 1080.9 1404.5 2341.7 2338.9
OK, OK, OK, OK, OK, OK, OK, OK, OK, OK, OK,
Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min.
Shear Shear Shear Shear Shear Shear Shear Shear Shear Shear Shear
R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to
be be be be be be be be be be be
provide provide provide provide provide provide provide provide provide provide provide
d d d d d d d d d d d
Minimum Shear reinforcement (ρ min)
2
(mm ) 155 155 69 58 58 58 58 58 74 145 145

Provide (mm) 12 12 12 12 12 12 12 12 12 12 12
4 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 4 L
(mm) 200 200 200 200 200 200 200 200 200 200 200
Asw Provided (mm2) 452 226 226 226 226 226 226 226 226 226 452
OK OK OK OK OK OK OK OK OK OK OK

Calculation of Actual Shear Reinforcement


Design Shear Resistance, (min. of two)
Asw * Z * fywd * cotθ / s (KN) N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A
αcw * bw * Z * v1 * fcd /(cotθ + tanθ) (KN) N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A
OK OK OK OK OK OK OK OK OK OK OK
Z (m) 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553
fywd  (MPa) 435 435 435 435 435 435 435 435 435 435 435
θ (degr 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8
αcw  1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
v1 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
CHECK FOR ULTIMATE LIMIT STATE (SEISMIC COMBINATION)- SUPERIOR
ITEM UNITS Distance from left support
(m) 0.000 1.850 3.163 5.975 8.788 11.600 14.413 17.225 20.038 21.350 23.200

Details of prestressing

Net prestressing force in Stage 1 (KN) 5624.7 5645.5 5718.4 5730.3 5761.1 5774.6 5761.1 5730.3 5718.4 5645.5 5624.7
No of Tendons in Stage-1 prestressing 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684 2.684
Distance from bottom of Stage 1 (m) 0.450 0.311 0.246 0.182 0.126 0.125 0.126 0.182 0.246 0.311 0.450
Net prestressing force in Stage 2 (KN) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
No of Tendons in Stage-2 prestressing 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
Distance from bottom of Stage 2 (m) 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
Net horizontal prestressing force (KN) 5624.7 5645.5 5718.4 5730.3 5761.1 5774.6 5761.1 5730.3 5718.4 5645.5 5624.7
Net eccentricity from bottom (m) 0.450 0.311 0.246 0.182 0.126 0.125 0.126 0.182 0.246 0.311 0.450
Vertical Component of Stage 1 Prestressing (KN) 502.2 504.8 153.3 154.2 33.6 0.0 33.6 154.2 153.3 504.8 502.2
Vertical Component of Stage 2 Prestressing (KN) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Total Vertical Component of Prestress (KN) 502.2 504.8 153.3 154.2 33.6 0.0 33.6 154.2 153.3 504.8 502.2
Total area of Prestress cable (Ap) 2 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050 0.0050
(m )

Section Properties
Width of deck slab (m) 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000 3.000
Width of Bottom Flange (m) 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800 0.800
Width of web Bw (m) 0.800 0.800 0.356 0.300 0.300 0.300 0.300 0.300 0.383 0.750 0.750
Duct Dia Dduct m 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085 0.085
Effective width of Web (Bw-0.5*Dduct) m 0.758 0.758 0.314 0.258 0.258 0.258 0.258 0.258 0.340 0.708 0.708
Depth of beam only (m) 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500 1.500
Depth of deck only (m) 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225 0.225
Depth of Bottom Flange (m) 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
Over all depth (m) 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725 1.725
Area of composite section (m2) 1.908 1.908 1.440 1.440 1.440 1.440 1.440 1.440 1.440 1.908 1.908
C.G. of composite section from bottom (m) 1.067 1.067 1.148 1.148 1.148 1.148 1.148 1.148 1.148 1.067 1.067
Moment of inertia-composite section (m4) 0.553 0.553 0.480 0.480 0.480 0.480 0.480 0.480 0.480 0.553 0.553
fck 2 45000 45000 45000 45000 45000 45000 45000 45000 45000 45000 45000
KN/m
Ec 2
KN/m 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07 3.4E+07
Ep 2
KN/m 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08
Es 2
KN/m 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08 2.0E+08
Area of Reinforcement at bottom (As) (m2) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
fy = (MPa) 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0 500.0
Flexural capacity

Compressive prestress at soffit 2


KN/m 9631 11183 16326 17229 18104 18154 18104 17229 16326 11183 9631
Mean value of axial tensile strength of conc. 2
KN/m 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0 3300.0
Uncr moment capacity of section for bottom fiber KNm 6708.5 7513.5 8197.5 8574.4 8939.9 8960.8 8939.9 8574.4 8197.5 7513.5 6708.5
Compressive/Tensile prestress at top 2
KN/m -1176.1 -2116.1 -2238.7 -2679.9 -3087.5 -3098.5 -3087.5 -2679.9 -2238.7 -2116.1 -1176.1
Maximum permissible compressive stress 2
KN/m 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0 21600.0
Uncr moment capacity of section for top fiber KNm 19146.8 19936.9 19810.5 20177.1 20515.9 20525.0 20515.9 20177.1 19810.5 19936.9 19146.8
Uncracked moment capacity of section KNm 6708.5 7513.5 8197.5 8574.4 8939.9 8960.8 8939.9 8574.4 8197.5 7513.5 6708.5

Prestrain in cables (εpe) 5.7E-03 5.7E-03 5.8E-03 5.8E-03 5.9E-03 5.9E-03 5.9E-03 5.8E-03 5.8E-03 5.7E-03 5.7E-03
Comp strain in concrete at tendon level εce) 2.0E-04 2.6E-04 4.0E-04 4.4E-04 4.9E-04 4.9E-04 4.9E-04 4.4E-04 4.0E-04 2.6E-04 2.0E-04
ε0)
Compressive strain at top fiber ( 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035
Let assume depth of neutral axis from top(dn) m 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046 0.046
Depth of Reinforcement, As form top (ds) m 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667 1.667
Depth of Prestressing cable, Ap form top (dp) m 1.275 1.414 1.479 1.543 1.599 1.600 1.599 1.543 1.479 1.414 1.275
Tensile strain in concrete at tendon level εcp) 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830 0.00830
εs)
Tensile strain in reinforcement ( 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181 0.00181
Total strain at prestressing steel εp) = 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03 8.3E-03
Tensile force at prestressing steel (Tp) = KN 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1
Tensile force at Reinforcement (Ts) = KN 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Compressive force in concrete, (C) = KN 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1 8150.1
Check (C) = (Tp) + (Ts) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Lever arm of (C) from top fiber = m 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015
Cracked moment capacity of section KNm 10264.9 11400.3 11933.6 12449.5 12911.8 12916.2 12911.8 12449.5 11933.6 11400.3 10264.9

Dead Load moment KNm 0.0 587.2 1025.4 1737.1 2163.8 2305.7 2163.8 1737.1 1025.4 587.2 0.0
SIDL moment KNm 0.0 108.5 192.7 346.5 448.0 483.3 448.0 346.5 192.7 108.5 0.0
LL moment KNm 0.0 646.1 1212.6 1930.4 2327.1 2445.0 2327.1 1930.4 1212.6 646.1 0.0
Vertical Seismic moment KNm 0.0 86.5 152.3 259.3 323.5 345.0 323.5 259.3 152.3 86.5 0.0
Factor for DL 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35
Factor for SIDL 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52
Factor for LL 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
Factor for Vertical Seismic 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
Ultimate moment KNm 0.0 1216.6 2148.1 3646.8 4552.8 4853.8 4552.8 3646.8 2148.1 1216.6 0.0
OK OK OK OK OK OK OK OK OK OK OK
Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr Uncr
Shear capacity

Uncracked Shear resistance Calculation :


Second moment of inertia of gross section(I)= (m4) 0.5534 0.5534 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.4795 0.5534 0.5534
1st moment of area above CG about CG (S) = (m3) 0.4435 0.4435 0.3356 0.3321 0.3321 0.3321 0.3321 0.3321 0.3372 0.4388 0.4388
Effective width of Web (bwc) = m 0.758 0.758 0.314 0.258 0.258 0.258 0.258 0.258 0.340 0.708 0.708
Design value of conc. tensile strength(fctd)= (KN/m2) 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3 1533.3
Constant factor (k1) = 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
Conc. comp. stress due to prestressing σcp)= (KN/m2) 2948.1 2959.0 3971.1 3979.3 4000.8 4010.2 4000.8 3979.3 3971.1 2959.0 2948.1
Uncracked Shear resistance = KN 2477.7 2480.7 1302.9 1080.9 1082.9 1083.9 1082.9 1080.9 1404.5 2341.7 2338.9

Cracked Shear resistance Calculation :


depth (d) = mm 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725
Constant factor (K) = 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341 1.341
2
Longitudinal reinforcement (Asl) = (m ) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
Min. width of the section over depth (bw) = m 0.800 0.800 0.356 0.300 0.300 0.300 0.300 0.300 0.383 0.750 0.750
p1 = 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Cracked Shear resistance = KN 2018.7 2021.0 993.7 837.1 838.7 839.5 838.7 837.1 1066.5 1894.7 1892.6

Dead Load shear KN 474.5 360.1 304.2 202.8 101.8 0.0 101.8 202.8 304.2 360.1 474.5
SIDL shear KN 105.6 68.1 63.1 46.2 27.6 0.4 27.6 46.2 63.1 68.1 105.6
LL shear KN 438.2 431.6 431.6 336.4 270.1 216.8 270.1 336.4 431.6 431.6 438.2
Vertical Wind shear KN 63.2 53.9 46.5 31.0 15.8 0.6 15.8 31.0 46.5 53.9 63.2
Factor for DL 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35 1.35
Factor for SIDL 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52
Factor for LL 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2
Factor for Vertical Wind 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5
Ultimate shear KN 983.6 756.7 662.6 457.7 257.1 44.9 257.1 457.7 662.6 756.7 983.6
Governing Shear resistance KN 2477.7 2480.7 1302.9 1080.9 1082.9 1083.9 1082.9 1080.9 1404.5 2341.7 2338.9
OK, OK, OK, OK, OK, OK, OK, OK, OK, OK, OK,
Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min.
Shear Shear Shear Shear Shear Shear Shear Shear Shear Shear Shear
R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to R/F to
be be be be be be be be be be be
provide provide provide provide provide provide provide provide provide provide provide
d d d d d d d d d d d
Minimum Shear reinforcement (ρ min)
2
(mm ) 155 155 69 58 58 58 58 58 74 145 145

Provide (mm) 12 12 12 12 12 12 12 12 12 12 12
4 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 2 L 4 L
(mm) 200 200 200 200 200 200 200 200 200 200 200
Asw Provided (mm2) 452 226 226 226 226 226 226 226 226 226 452
OK OK OK OK OK OK OK OK OK OK OK

Calculation of Actual Shear Reinforcement


Design Shear Resistance, (min. of two)
Asw * Z * fywd * cotθ / s (KN) N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A
αcw * bw * Z * v1 * fcd /(cotθ + tanθ) (KN) N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A N.A
OK OK OK OK OK OK OK OK OK OK OK
Z (m) 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553 1.553
fywd  (MPa) 435 435 435 435 435 435 435 435 435 435 435
θ (degr 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8
αcw  1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0
v1 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6
DESIGN OF END CROSS GIRDER (EXPANSION JOINT LOCATION)
Load Factors for different combinations : (Refer Table 3.2 and Table 3.3 of IRC:6-2014)

Jackup Basic Basic Seismic Rare Rare Rare Rare Quasi


Primary Loads
(ULS1) (ULS2) (ULS3) (ULS4) (SLS1) (SLS2) (SLS3) (SLS4) (SLS5)

Dead Load 1.50 1.35 1.35 1.35 1.00 1.00 1.00 1.00 1.00
SIDL without W/C 1.50 1.35 1.35 1.35 1.00 1.00 1.00 1.00 1.00
Wearing Coat 1.50 1.75 1.75 1.75 1.00 1.00 1.00 1.00 1.00
FPLL 0.00 1.50 1.15 0.20 1.00 0.75 1.00 0.75 0.00
Wind 0.00 0.90 1.50 0.00 0.60 1.00 0.00 0.00 0.00
Vertical Seismic 0.00 0.00 0.00 1.50 0.00 0.00 0.00 0.00 0.00
CWLL 0.00 1.50 1.15 0.20 1.00 0.75 1.00 0.75 0.00
Temperature 0.00 0.00 0.00 0.00 0.00 0.00 0.60 1.00 0.50

Moment and Shear forces for different load cases :

Under Jackup Cases Under Service Cases

Hogging Sagging Shear Hogging Sagging Shear


Primary Loads Moment Moment Force Moment Moment Force
(t-m) (t-m) (t) (t-m) (t-m) (t)

Dead Load 80.157 4.499 68.873 29.5 45.5 27.4


SIDL without W/C 0 0 0 2.1 1.7 1.3
Wearing Coat 0 0 0 4.1 6.9 3.7
FPLL 0 0 0 0.4 0.2 0.21
Wind 0 0 0 4 6.7 3.6
Vertical Seismic 0 0 0 4 6.2 3.7
CWLL 0 0 0 31.2 45.7 31.3
Temperature 0 0 0 0 0 0

Jackup Basic Basic Seismic Rare Rare Rare Rare Quasi


(ULS1) (ULS2) (ULS3) (ULS4) (SLS1) (SLS2) (SLS3) (SLS4) (SLS5)
Design Forces

Hogging Moment (t-m) 120.2355 100.8 92.2 62.2 69.7 63.4 67.3 59.4 35.7
Sagging Moment (t-m) 6.7485 150.7 138.6 94.3 104.0 95.2 100.0 88.5 54.1
Shear Force (t) 103.3095 95.7 86.9 57.1 66.1 59.6 63.9 56.0 32.4

Design for Ultimate Limit State : (Consider ULS1, ULS2, ULS3, ULS4)

Design for Hogging moment :

Design Moment = 120.2 tm


Grade of concrete = 40 Axial tensile strength of 3.03 Mpa
Grade of steel = 500 concrete, fctm =
Clear cover = 40 mm
Overall depth = 1475 mm
Width = 400 mm
Effective depth = 1372.5 mm
Mu/bd^2 = 1.596
pt = 0.386 %
Minimum reinforcement reqd : Maxm. of the following two (Refer 16.5.1.1 of IRC:112)
0.13 %
0.26*fctm/fyk = 0.158 %

2
Reinf reqd = 21.2 cm

Provide 4 nos  + 2 nos  nos 

Provided Ast = 25.92 cm2 Thus OK


Design for Sagging moment :

Design Moment = 150.68 tm


Grade of concrete = 40 Axial tensile strength of 3.03 Mpa
Grade of steel = 500 concrete, fctm =
Clear cover = 40 mm
Overall depth = 1475 mm
Width = 400 mm
Effective depth = 1372.5 mm
Mu/bd^2 = 2.000
pt = 0.489 %
Minimum reinforcement reqd : Maxm. of the following two (Refer 16.5.1.1 of IRC:112)
0.13 %
0.26*fctm/fyk = 0.158 %

2
Reinf reqd = 26.8 cm

Provide 4 nos  + 2 nos  + nos 

2
Provided Ast = 29.45 cm Thus OK

Design for Shear :

Design Shear Force = 103.31 t

Shear resistance of the section is smaller of the followings: (Refer 10.3.3.2 of IRC:112)

Vrds = Asw * Z * fywd * cot/ s Eq-1

cw * bw * Z * v1 * fcd /(cot + tan) Eq-2

Provide, 2L 16 mm dia @ 150 mm c/c

Asw = 402.1 mm2


s= 150 mm
Z= 1327.5 mm
fywd = 435 Mpa
q= 45 deg
acw = 1
bw = 400 mm
v1 = 0.6
fcd = 17.84 Mpa

Vrds = 154.8 t Eq-1


Vrds = 284.2 t Eq-2

Shear resistance = 154.8 t OK

2
Minimum Shear reinforcement = 54.64 mm (Refer 10.3.3.5 of IRC:112)

Side Face Reinforcement : [As per clause 16.5.4 IRC-112, 2011]

1 % of web cover area on either face, outside the stirrups subject to a maximum spacing of 200mm.

Required Ast =0.01 *1475*40 = 5.90 cm2

Provide 8 nos  on each face

Provided Ast = 6.28 cm2


Thus OK
Design for Serviceability Limit State :

Design for Hogging moment :


Rare Quasi
Rare (SLS2) Rare (SLS3) Rare (SLS4)
(SLS1) (SLS5)
Moment (t-m) 69.7 63.4 67.3 59.4 35.7
fck (Mpa) = 40 40 40 40 40
fyk (Mpa) = 500 500 500 500 500
Reinf provided (At) (mm2) = 2592 2592 2592 2592 2592
Effective depth (d) (mm) = 1372.5 1372.5 1372.5 1372.5 1372.5
Width (b) (mm) = 400 400 400 400 400
Mu (N-mm) = 7.0E+08 6.3E+08 6.7E+08 5.9E+08 3.6E+08

Modular ratio (m) = 5.88 5.88 5.88 5.88 5.88


Depth of neutral axis from compression face (x) (mm) = 287.6 287.6 287.6 287.6 287.6
Compressive Stress in concrete (Mpa) = 9.49 8.63 9.17 8.09 4.86
Tensile Stress in steel (Mpa) = 210.6 191.6 203.4 179.5 107.9
0.00 0.00 0.00 0.00 0.00

Modular ratio (m) = 11.76 11.76 11.76 11.76 11.76


Depth of neutral axis from compression face (x) (mm) = 387.5 387.5 387.5 387.5 387.5
Compressive Stress in concrete (Mpa) = 7.23 6.58 6.98 6.16 3.70
Tensile Stress in steel (Mpa) = 216.3 196.7 208.8 184.3 110.8
0.00 0.00 0.00 0.00 0.00

Compressive stress due to Temperature Rise at top (Mpa) = 4.69 4.69 4.69 4.69 4.69
Compressive stress due to Temperature Rise at bottom (Mpa) = 1.77 1.77 1.77 1.77 1.77
Tensile stress due to Temperature Fall at top (Mpa) = 2.84 2.84 2.84 2.84 2.84
Tensile stress due to Temperature Fall at bottom (Mpa) = 2.45 2.45 2.45 2.45 2.45

Final compressive stress in concrete (Mpa) = 9.49 8.63 11.98 12.77 7.20
Final tensile stress in steel (Mpa) = 216.3 196.7 228.9 217.7 127.5

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete (Mpa) = 19.2 19.2 19.2 19.2 19.2
Permissible tensile stress in steel (Mpa) = 400 400 400 400 400

OK OK OK OK OK
OK OK OK OK OK

Design for Sagging moment :


Rare Quasi
Rare (SLS2) Rare (SLS3) Rare (SLS4)
(SLS1) (SLS5)
Moment (t-m) 104.0 95.2 100.0 88.5 54.1
fck (Mpa) = 40 40 40 40 40
fyk (Mpa) = 500 500 500 500 500
Reinf provided (At) (mm2) = 2945 2945 2945 2945 2945
Effective depth (d) (mm) = 1372.5 1372.5 1372.5 1372.5 1372.5
Width (b) (mm) = 400 400 400 400 400
Mu (N-mm) = 1.0E+09 9.5E+08 1.0E+09 8.9E+08 5.4E+08

Modular ratio (m) = 5.88 5.88 5.88 5.88 5.88


Depth of neutral axis from compression face (x) (mm) = 304.2 304.2 304.2 304.2 304.2
Compressive Stress in concrete (Mpa) = 13.45 12.31 12.93 11.45 7.00
Tensile Stress in steel (Mpa) = 277.9 254.4 267.1 236.5 144.5
0.00 0.00 0.00 0.00 0.00

Modular ratio (m) = 11.76 11.76 11.76 11.76 11.76


Depth of neutral axis from compression face (x) (mm) = 408.6 408.6 408.6 408.6 408.6
Compressive Stress in concrete (Mpa) = 10.29 9.42 9.90 8.76 5.35
Tensile Stress in steel (Mpa) = 285.7 261.5 274.6 243.1 148.6
0.00 0.00 0.00 0.00 0.00
Compressive stress due to Temperature Rise at top (Mpa) = 4.69 4.69 4.69 4.69 4.69
Compressive stress due to Temperature Rise at bottom (Mpa) = 1.77 1.77 1.77 1.77 1.77
Tensile stress due to Temperature Fall at top (Mpa) = 2.84 2.84 2.84 2.84 2.84
Tensile stress due to Temperature Fall at bottom (Mpa) = 2.45 2.45 2.45 2.45 2.45

Final compressive stress in concrete (Mpa) = 13.45 12.31 15.74 16.13 9.34
Final tensile stress in steel (Mpa) = 285.7 261.5 294.6 276.5 165.3

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete (Mpa) = 19.2 19.2 19.2 19.2 19.2
Permissible tensile stress in steel (Mpa) = 400 400 400 400 400

OK OK OK OK OK
OK OK OK OK OK

Calculation of Crack Width (As per Cl.12.3.4 of IRC-112) :

Grade of Concrete M 40
Grade of Steel Fe 500
fcm 50
2
Modulus of Elasticity of Concrete, Ecm 3334576 t/m
2
Modulus of Elasticity of Steel, Es 20000000 t/m
Modulur Ratio for Long Term Loading, e 5.998
kt 0.50
2
fct,eff = fctm 302.93 t/m
Permissible Crack Width,Wmax (as per Table 12.1) 0.300 mm

Design for Hogging moment : Quasi (SLS5) Design for Sagging moment : Quasi (SLS5)

Overall Depth, mm 1475 1475


Web thickness, mm 400 400
Clear Cover, mm 40.0 40.0
Effective Depth, mm 1373 1373
Ast provided, cm2 25.9 29.5
Equivalent Bar Diameter, mm 25.0 25.0
Neutral axis from top, mm 387.5 408.6
Concrete stress, t/m2 720.4 933.8
Steel stress, t/m2 12746 16526
he,eff (mm) 256 256
Ac,eff (m2) 0.103 0.103
p,eff 0.025 0.029
sm-cm 0.000382 0.000517
Max CrackSpacing(mm)Sr,max 304.1 283.9
Crack Width, Wk (mm) 0.116 0.147
OK OK
TRANSVERSE ANALYSIS FOR
DECK SLAB
CALCULATION FOR LIVE LOAD DISPERSION

1 1 1 C
4 2 4 S
7 3 7 S
10 4 10 S
13 5 13 S
14 6 14 C

CASE 1 : CLASS 40T BOGGIE

α= 2.6 Load increment = 0.0751 m


b1 = 0.393 m Transverse Spacing = 1.93 m
Longitudinal Spacing = 1.22 m Transverse Dispersion = 1.44 m
Impact Factor = 1.25 c/c of simply supported span= 3 m

Load on each wheel = 12.5 t

First Wheel : Second Wheel :

Actual Actual
Load Load Load
Load Position X a lo beff Dispersion X a lo beff Dispersion
intensity Position intensity
Width (m) Width (m)

1 3.630 0.370 3.000 1.236 1.228 7.068 1 5.560 1.440 3.000 2.340 1.780 4.877
2 3.705 0.295 3.000 1.084 1.084 8.005 2 5.635 1.365 3.000 2.327 1.774 4.894
3 3.780 0.220 3.000 0.923 1.000 8.681 3 5.710 1.290 3.000 2.305 1.762 4.926
4 3.855 0.145 3.000 0.751 1.000 8.681 4 5.785 1.215 3.000 2.272 1.746 4.971
5 3.930 0.070 3.000 0.570 1.000 8.681 5 5.860 1.140 3.000 2.230 1.725 5.032
6 4.006 0.006 3.000 0.408 1.000 8.681 6 5.936 1.064 3.000 2.179 1.699 5.108
7 4.081 0.081 3.000 0.597 1.000 8.681 7 6.011 0.989 3.000 2.117 1.668 5.203
8 4.156 0.156 3.000 0.777 1.000 8.681 8 6.086 0.914 3.000 2.046 1.633 5.316
9 4.231 0.231 3.000 0.947 1.000 8.681 9 6.161 0.839 3.000 1.964 1.592 5.452
10 4.306 0.306 3.000 1.108 1.108 7.837 10 6.236 0.764 3.000 1.873 1.547 5.612
11 4.381 0.381 3.000 1.258 1.239 7.006 11 6.311 0.689 3.000 1.773 1.496 5.801
12 4.456 0.456 3.000 1.399 1.309 6.629 12 6.386 0.614 3.000 1.662 1.441 6.024
13 4.531 0.531 3.000 1.530 1.375 6.313 13 6.461 0.539 3.000 1.542 1.381 6.286
14 4.607 0.607 3.000 1.651 1.436 6.047 14 6.537 0.463 3.000 1.412 1.316 6.597
15 4.682 0.682 3.000 1.763 1.491 5.821 15 6.612 0.388 3.000 1.272 1.246 6.967
16 4.757 0.757 3.000 1.864 1.542 5.629 16 6.687 0.313 3.000 1.122 1.122 7.734
17 4.832 0.832 3.000 1.956 1.588 5.466 17 6.762 0.238 3.000 0.963 1.000 8.681
18 4.907 0.907 3.000 2.038 1.629 5.328 18 6.837 0.163 3.000 0.794 1.000 8.681
19 4.982 0.982 3.000 2.111 1.665 5.213 19 6.912 0.088 3.000 0.615 1.000 8.681
20 5.057 1.057 3.000 2.173 1.697 5.117 20 6.987 0.013 3.000 0.426 1.000 8.681
21 5.132 1.132 3.000 2.226 1.723 5.038 21 7.062 0.062 3.000 0.552 1.000 8.681
22 5.208 1.208 3.000 2.269 1.744 4.976 22 7.138 0.137 3.000 0.734 1.000 8.681
23 5.283 1.283 3.000 2.302 1.761 4.929 23 7.213 0.213 3.000 0.907 1.000 8.681
24 5.358 1.358 3.000 2.325 1.773 4.897 24 7.288 0.288 3.000 1.069 1.069 8.117
25 5.433 1.433 3.000 2.339 1.780 4.878 25 7.363 0.363 3.000 1.222 1.221 7.108
26 5.508 1.492 3.000 2.343 1.781 4.873 26 7.438 0.438 3.000 1.365 1.293 6.715
27 5.583 1.417 3.000 2.337 1.779 4.881 27 7.513 0.513 3.000 1.499 1.359 6.385
28 5.658 1.342 3.000 2.321 1.771 4.902 28 7.588 0.588 3.000 1.622 1.421 6.108
29 5.733 1.267 3.000 2.296 1.758 4.938 29 7.663 0.663 3.000 1.736 1.478 5.873
30 5.808 1.192 3.000 2.261 1.740 4.988 30 7.738 0.738 3.000 1.840 1.530 5.673
31 5.884 1.116 3.000 2.215 1.718 5.053 31 7.814 0.814 3.000 1.935 1.577 5.503
32 5.959 1.041 3.000 2.161 1.690 5.135 32 7.889 0.889 3.000 2.019 1.620 5.360
33 6.034 0.966 3.000 2.096 1.658 5.235 33 7.964 0.964 3.000 2.094 1.657 5.239
34 6.109 0.891 3.000 2.022 1.621 5.356 34 8.039 1.039 3.000 2.159 1.689 5.138
35 6.184 0.816 3.000 1.937 1.579 5.498 35 8.114 1.114 3.000 2.214 1.717 5.056
36 6.259 0.741 3.000 1.844 1.532 5.667 36 8.189 1.189 3.000 2.259 1.740 4.990
37 6.334 0.666 3.000 1.740 1.480 5.866 37 8.264 1.264 3.000 2.295 1.757 4.939
38 6.409 0.591 3.000 1.626 1.423 6.100 38 8.339 1.339 3.000 2.321 1.770 4.903
39 6.485 0.515 3.000 1.503 1.361 6.376 39 8.415 1.415 3.000 2.337 1.778 4.881
40 6.560 0.440 3.000 1.370 1.295 6.703 40 8.490 1.490 3.000 2.343 1.781 4.873
41 6.635 0.365 3.000 1.227 1.224 7.095 41 8.565 1.435 3.000 2.339 1.780 4.878
42 6.710 0.290 3.000 1.074 1.074 8.080 42 8.640 1.360 3.000 2.326 1.773 4.896
43 6.785 0.215 3.000 0.912 1.000 8.681 43 8.715 1.285 3.000 2.303 1.761 4.928
44 6.860 0.140 3.000 0.740 1.000 8.681 44 8.790 1.210 3.000 2.270 1.745 4.974
45 6.935 0.065 3.000 0.558 1.000 8.681 45 8.865 1.135 3.000 2.227 1.724 5.036
46 7.010 0.010 3.000 0.420 1.000 8.681 46 8.940 1.060 3.000 2.175 1.697 5.114
47 7.085 0.085 3.000 0.609 1.000 8.681 47 9.015 0.985 3.000 2.113 1.666 5.209
48 7.161 0.161 3.000 0.788 1.000 8.681 48 9.091 0.909 3.000 2.041 1.630 5.324
49 7.236 0.236 3.000 0.958 1.000 8.681 49 9.166 0.834 3.000 1.959 1.589 5.461
50 7.311 0.311 3.000 1.117 1.117 7.768 50 9.241 0.759 3.000 1.867 1.544 5.623
51 7.386 0.386 3.000 1.267 1.244 6.980 51 9.316 0.684 3.000 1.766 1.493 5.814
52 7.461 0.461 3.000 1.408 1.314 6.607 52 9.391 0.609 3.000 1.655 1.437 6.039
53 7.536 0.536 3.000 1.538 1.379 6.295 53 9.466 0.534 3.000 1.534 1.377 6.304
54 7.611 0.611 3.000 1.659 1.439 6.031 54 9.541 0.459 3.000 1.403 1.312 6.618
55 7.686 0.686 3.000 1.769 1.495 5.808 55 9.616 0.384 3.000 1.263 1.241 6.993
56 7.762 0.762 3.000 1.870 1.545 5.618 56 9.692 0.308 3.000 1.113 1.113 7.803
57 7.837 0.837 3.000 1.962 1.591 5.457 57 9.767 0.233 3.000 0.952 1.000 8.681
58 7.912 0.912 3.000 2.043 1.632 5.320 58 9.842 0.158 3.000 0.783 1.000 8.681
59 7.987 0.987 3.000 2.115 1.667 5.206 59 9.917 0.083 3.000 0.603 1.000 8.681
60 8.062 1.062 3.000 2.177 1.698 5.111 60 9.992 0.008 3.000 0.414 1.000 8.681
61 8.137 1.137 3.000 2.229 1.724 5.034 61 10.067 0.067 3.000 0.564 1.000 8.681
62 8.212 1.212 3.000 2.271 1.746 4.973 62 10.142 0.142 3.000 0.745 1.000 8.681
63 8.287 1.287 3.000 2.304 1.762 4.927 63 10.217 0.217 3.000 0.917 1.000 8.681
64 8.362 1.362 3.000 2.327 1.773 4.895 64 10.293 0.292 3.000 1.079 1.079 8.042
65 8.438 1.438 3.000 2.340 1.780 4.877 65 10.368 0.368 3.000 1.232 1.226 7.081
66 8.513 1.487 3.000 2.343 1.781 4.873 66 10.443 0.443 3.000 1.374 1.297 6.692
67 8.588 1.412 3.000 2.336 1.778 4.882 67 10.518 0.518 3.000 1.507 1.364 6.366
68 8.663 1.337 3.000 2.320 1.770 4.904 68 10.593 0.593 3.000 1.630 1.425 6.092
69 8.738 1.262 3.000 2.294 1.757 4.941 69 10.668 0.668 3.000 1.743 1.482 5.859
70 8.813 1.187 3.000 2.258 1.739 4.992 70 10.743 0.743 3.000 1.847 1.533 5.661
71 8.888 1.112 3.000 2.212 1.716 5.058 71 10.818 0.818 3.000 1.940 1.580 5.494
72 8.963 1.037 3.000 2.157 1.688 5.141 72 10.893 0.893 3.000 2.024 1.622 5.352
73 9.039 0.961 3.000 2.092 1.656 5.242 73 10.969 0.969 3.000 2.098 1.659 5.232
74 9.114 0.886 3.000 2.017 1.618 5.364 74 11.044 1.044 3.000 2.163 1.691 5.133
75 9.189 0.811 3.000 1.932 1.576 5.508 75 11.119 1.119 3.000 2.217 1.719 5.051
76 9.264 0.736 3.000 1.837 1.529 5.679 76 11.194 1.194 3.000 2.262 1.741 4.986
77 9.339 0.661 3.000 1.733 1.476 5.879 77 11.269 1.269 3.000 2.297 1.758 4.937
78 9.414 0.586 3.000 1.619 1.419 6.116 78 11.344 1.344 3.000 2.322 1.771 4.902
79 9.489 0.511 3.000 1.495 1.357 6.395 79 11.419 1.419 3.000 2.337 1.779 4.880
80 9.564 0.436 3.000 1.361 1.291 6.726 80 11.494 1.494 3.000 2.343 1.781 4.873
81 9.640 0.360 3.000 1.218 1.218 7.129 81 11.570 1.430 3.000 2.339 1.779 4.878
82 9.715 0.285 3.000 1.064 1.064 8.156 82 11.645 1.355 3.000 2.325 1.772 4.898
83 9.790 0.210 3.000 0.901 1.000 8.681 83 11.720 1.280 3.000 2.301 1.761 4.931
84 9.865 0.135 3.000 0.728 1.000 8.681 84 11.795 1.205 3.000 2.268 1.744 4.978
85 9.940 0.060 3.000 0.546 1.000 8.681 85 11.870 1.130 3.000 2.224 1.722 5.040
DESIGN OF DECK

Grade of concrete = 40
Grade of steel = 500
Clear cover = 40 mm
Overall depth = 225 mm
Width = 1000 mm
Effective depth = 177 mm

Design for Span Moment :

ULS CHECK : LC:1001 TO 1170


Total factored design moment = 5.031 t-m (From STAAD)
Mu/bd^2 = 1.606
pt = 0.388 %
2
Reinf reqd = 6.9 cm
Provide, 12mm @ 250 + 12mm @ 250 (Bottom)
2
Reinf provided = 9.0 cm

SLS CHECK : (WITH WIND & WITHOUT TEMPERATURE) LC:3001 TO 3170

Maximum moment (M) = 3.324 tm/m (From STAAD)


Corresponding torsional moment (T) = 0.0 tm

Net Bending moment = 3.32 tm

fck = 40 Mpa
fyk = 500 Mpa
2
Reinf provided (At) = 904.8 mm
Effective depth (d) = 179 mm
Width (b) = 1000 mm
Mu = 3.3E+07 N-mm
There are 3 unknowns: m = modular ratio = 6.06
Depth of neutral axis from top = x
Stress in top concrete = c
Stress in bottom steel = t

Compressive force = Fc = 0.5*c*x*b = Tensile force = Ft = t*At EQ-1


c / x = (t/m) / (d-x) EQ-2
Mu = =0.5*c*x*b*(d-x/3) EQ-3

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete = 19.2 Mpa
Permissible tensile stress in steel = 400 Mpa

Assume x = 39.2 mm
c= 10.23 Mpa OK
t= 221 Mpa OK
Fc - Ft = 0.00

If we consider modular ratio (m) = 12.12

Assume x = 52.6 mm
c= 7.82 Mpa OK
t= 228 Mpa OK
Fc - Ft = 0.00

SLS CHECK : (WITHOUT WIND & WITH TEMPERATURE ACCOMPANYING) LC:2001 TO 2085

Maximum Eigen Compressive Stress .for Tempearture 4.52 Mpa


Maximum Eigen Tensile Stress for Tempearture 2.906 Mpa
Load Factor For Tempearture 0.6

Maximum moment (M) = 3.269 tm/m (From STAAD)


Corresponding torsional moment (T) = 0.0 tm
Net Bending moment = 3.27 tm

fck = 40 Mpa
fyk = 500 Mpa
2
Reinf provided (At) = 904.8 mm
Effective depth (d) = 179 mm
Width (b) = 1000 mm
Mu = 3.3E+07 N-mm
There are 3 unknowns: m = modular ratio = 6.06
Depth of neutral axis from top = x
Stress in top concrete = c
Stress in bottom steel = t

Compressive force = Fc = 0.5*c*x*b = Tensile force = Ft = t*At EQ-1


c / x = (t/m) / (d-x) EQ-2
Mu = =0.5*c*x*b*(d-x/3) EQ-3

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete = 19.2 Mpa
Permissible tensile stress in steel = 400 Mpa

Assume x = 39.2 mm
c= 10.06 Mpa
t= 218 Mpa
Fc - Ft = 0.00

If we consider modular ratio (m) = 12.12

Assume x = 52.6 mm
c= 7.69 Mpa
t= 224 Mpa
Fc - Ft = 0.00

Maximum Compressive Stress in Concrete 12.77 Mpa OK


Maximum Tensile Stress in Steel 244.9 Mpa OK

SLS CHECK : (WITHOUT WIND & WITH TEMPERATURE LEADING) LC:2086 TO 2170

Maximum Eigen Compressive Stress .for Tempearture 4.52 Mpa


Maximum Eigen Tensile Stress for Tempearture 2.906 Mpa
Load Factor For Tempearture 1.0

Maximum moment (M) = 3.226 tm/m (From STAAD)


Corresponding torsional moment (T) = 0.0 tm

Net Bending moment = 3.23 tm

fck = 40 Mpa
fyk = 500 Mpa
2
Reinf provided (At) = 904.8 mm
Effective depth (d) = 179 mm
Width (b) = 1000 mm
Mu = 3.2E+07 N-mm
There are 3 unknowns: m = modular ratio = 6.06
Depth of neutral axis from top = x
Stress in top concrete = c
Stress in bottom steel = t

Compressive force = Fc = 0.5*c*x*b = Tensile force = Ft = t*At EQ-1


c / x = (t/m) / (d-x) EQ-2
Mu = =0.5*c*x*b*(d-x/3) EQ-3

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete = 19.2 Mpa
Permissible tensile stress in steel = 400 Mpa

Assume x = 39.2 mm
c= 9.93 Mpa
t= 215 Mpa
Fc - Ft = 0.00

If we consider modular ratio (m) = 12.12

Assume x = 52.6 mm
c= 7.59 Mpa
t= 221 Mpa
Fc - Ft = 0.00

Maximum Compressive Stress in Concrete 14.45 Mpa OK


Maximum Tensile Stress in Steel 256.1 Mpa OK

Design for Support Moment :

ULS CHECK : LC:1001 TO 1170


Total factored design moment = 4.559 t-m (From STAAD)
Mu/bd^2 = 1.455
pt = 0.35 %
2
Reinf reqd = 6.2 cm
Provide, 12mm @ 250 + 12mm @ 250 (Top)
2
Reinf provided = 9.0 cm

SLS CHECK : (WITH WIND & WITHOUT TEMPERATURE) LC:3001 TO 3170

Maximum moment (M) = 3.035 tm/m (From STAAD)


Corresponding torsional moment (T) = 0.0 tm

Net Bending moment = 3.04 tm

fck = 40 Mpa
fyk = 500 Mpa
2
Reinf provided (At) = 904.8 mm
Effective depth (d) = 179 mm
Width (b) = 1000 mm
Mu = 3.0E+07 N-mm
There are 3 unknowns: m = modular ratio = 6.06
Depth of neutral axis from top = x
Stress in top concrete = c
Stress in bottom steel = t

Compressive force = Fc = 0.5*c*x*b = Tensile force = Ft = t*At EQ-1


c / x = (t/m) / (d-x) EQ-2
Mu = =0.5*c*x*b*(d-x/3) EQ-3

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete = 19.2 Mpa
Permissible tensile stress in steel = 400 Mpa

Assume x = 39.2 mm
c= 9.34 Mpa OK
t= 202 Mpa OK
Fc - Ft = 0.00

If we consider modular ratio (m) = 12.12

Assume x = 52.6 mm
c= 7.14 Mpa OK
t= 208 Mpa OK
Fc - Ft = 0.00
SLS CHECK : (WITHOUT WIND & WITH TEMPERATURE ACCOMPANYING) LC:2001 TO 2085

Maximum Eigen Compressive Stress .for Tempearture 4.52 Mpa


Maximum Eigen Tensile Stress for Tempearture 2.906 Mpa
Load Factor For Tempearture 0.6

Maximum moment (M) = 2.964 tm/m (From STAAD)


Corresponding torsional moment (T) = 0.0 tm

Net Bending moment = 2.96 tm

fck = 40 Mpa
fyk = 500 Mpa
2
Reinf provided (At) = 904.8 mm
Effective depth (d) = 179 mm
Width (b) = 1000 mm
Mu = 3.0E+07 N-mm
There are 3 unknowns: m = modular ratio = 6.06
Depth of neutral axis from top = x
Stress in top concrete = c
Stress in bottom steel = t

Compressive force = Fc = 0.5*c*x*b = Tensile force = Ft = t*At EQ-1


c / x = (t/m) / (d-x) EQ-2
Mu = =0.5*c*x*b*(d-x/3) EQ-3

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete = 19.2 Mpa
Permissible tensile stress in steel = 400 Mpa

Assume x = 39.2 mm
c= 9.12 Mpa
t= 197 Mpa
Fc - Ft = 0.00

If we consider modular ratio (m) = 12.12

Assume x = 52.6 mm
c= 6.97 Mpa
t= 203 Mpa
Fc - Ft = 0.00

Maximum Compressive Stress in Concrete 11.83 Mpa OK


Maximum Tensile Stress in Steel 224.0 Mpa OK

SLS CHECK : (WITHOUT WIND & WITH TEMPERATURE LEADING) LC:2086 TO 2170

Maximum Eigen Compressive Stress .for Tempearture 4.52 Mpa


Maximum Eigen Tensile Stress for Tempearture 2.906 Mpa
Load Factor For Tempearture 1.0

Maximum moment (M) = 2.632 tm/m (From STAAD)


Corresponding torsional moment (T) = 0.0 tm

Net Bending moment = 2.63 tm

fck = 40 Mpa
fyk = 500 Mpa
2
Reinf provided (At) = 904.8 mm
Effective depth (d) = 179 mm
Width (b) = 1000 mm
Mu = 2.6E+07 N-mm
There are 3 unknowns: m = modular ratio = 6.06
Depth of neutral axis from top = x
Stress in top concrete = c
Stress in bottom steel = t

Compressive force = Fc = 0.5*c*x*b = Tensile force = Ft = t*At EQ-1


c / x = (t/m) / (d-x) EQ-2
Mu = =0.5*c*x*b*(d-x/3) EQ-3

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete = 19.2 Mpa
Permissible tensile stress in steel = 400 Mpa

Assume x = 39.2 mm
c= 8.10 Mpa
t= 175 Mpa
Fc - Ft = 0.00

If we consider modular ratio (m) = 12.12

Assume x = 52.6 mm
c= 6.19 Mpa
t= 180 Mpa
Fc - Ft = 0.00

Maximum Compressive Stress in Concrete 12.62 Mpa OK


Maximum Tensile Stress in Steel 215.4 Mpa OK

Distribution reinforcement (As per Clause 16.6.1 IRC-112,2011)

Reinforcement required = 20 % of main reinforcement


2
= 1.37 cm
Provide, 10mm @ 200 + 0mm @ 200
2
Reinf provided = 3.9 cm
DESIGN OF DECK SLAB BEYOND DIAPHRAGM

20 t

0.350 m

0.550 m
0.86 m 0.81 m

0.263 m

Cantilever slab projection beyond diaphragm has been checked for 40t boggie load,for the wheel placing
as shown as above.

(1) Live Load Moment :

Effective width at support = 1.2a+b , where, a= (0.55-0.263/2) = 0.419m

= 1.2*0.4185+0.922 b= (0.81+0.056*2) = 0.922m

= 1.424m ,Overlap will not occur


10 t 1.93 m 10 t
Net effective width = 1.424 m

SPAN= 0.550m

Impact facor = 1.500 1.424 m 1.424 m


(As per Clause 208 IRC-6,2010)

Load intensity = (10*1 500)/1 4242=


(10*1.500)/1.4242= 10 53 t/m
10.53

Moment at the face of cantilever due to Live Load = 10.53*(0.55-0.263/2)


= 4.41 t-m/m
Factored moment = (4.41 * 1.5) = 6.61 t-m/m

(2) Moment at the face of cantilever due to Dead Load = 0.35*2.5*0.55*0.55/2


= 0.132 t-m/m
Factored moment = (0.13 * 1.35) = 0.18 t-m/m

(3) Moment at the face of cantilever due to wearing coat = 0.2*0.55*0.55/2


= 0.030 t-m/m
Factored moment = (0.03 * 1.75) = 0.05 t-m/m

Load factor for Dead Load = 1.35 (Refer Table : 3.2 of IRC:6-2010)
Load factor for SIDL other than surfacing = 1.35
Load factor for surfacing = 1.75
Load factor for Live Load = 1.50

Total Moment applied at the face of the cantilever= (6.612+0.179+0.053)


= 6.843 t-m/m

Grade of concrete = 40
Grade of steel = 500
Clear cover = 40 mm
Overall depth = 350 mm
Width = 1000 mm
Effective depth = 304 mm
Mu/bd^2 = 0.740
pt = 0.176 %
2
Reinf reqd = 5.4 cm
Provide, 12mm @ 200 + 12mm @ 200 (Top)
2
Reinf provided = 11.3 cm

Distribution reinforcement (As per Clause 16.6.1 IRC-112,2011)

Reinforcement required = 20 % of main reinforcement


2
= 1.07 cm
Provide, 10mm @ 200 + 0mm @ 200
2
Reinf provided = 3.9 cm
Design For Serviceability Limit State :

Load factor for Dead Load = 1.00 (Refer Table : 3.3 of IRC:6-2010)
Load factor for SIDL other than surfacing = 1.00
Load factor for surfacing = 1.00
Load factor for Live Load = 1.00

Design Live Load moment = 4.41 tm/m


Design Dead Load moment = 0.13 tm/m
Design wearing coat Load moment = 0.03 tm/m

Maximum moment (M) = 4.57 tm/m


Corresponding torsional moment (T) = 0.0 tm

Net Bending moment = 4.57 tm

fck = 40 Mpa
fyk = 500 Mpa
2
Reinf provided (At) = 1131.0 mm
Effective depth (d) = 304 mm
Width (b) = 1000 mm
Mu = 4.57E+07 N-mm
There are 3 unknowns: m = modular ratio = 6.06
Depth of neutral axis from top = x
Stress in top concrete = c
Stress in bottom steel = t

Compressive force = Fc = 0.5*c*x*b = Tensile force = Ft = t*At EQ-1


c / x = (t/m) / (d-x) EQ-2
Mu = =0.5*c*x*b*(d-x/3) EQ-3

As per cl no: 12.2 of IRC:112


Permissible compressive stress in concrete = 19.2 Mpa
Permissible tensile stress in steel = 400 Mpa

Assume x = 58.1 mm
c= 5.53 Mpa OK
t= 142 Mpa OK
Fc - Ft = 0.00

If we consider, modular ratio (m) = 12.12

Assume x = 78.6 mm
c= 4.19 Mpa OK
t= 145 Mpa OK
Fc - Ft = 0.00
STAAD INPUT FOR TRANSVERSE ANALYSIS OF DECK

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 21-May-16
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER MTON
JOINT COORDINATES
1 0 0 0; 2 14 0 0; 3 1 0 0; 4 13 0 0; 5 4 0 0; 6 7 0 0; 7 10 0 0; 8 0.85 0 0;
9 1.15 0 0; 10 3.85 0 0; 11 4.15 0 0; 12 6.85 0 0; 13 7.15 0 0; 14 9.85 0 0;
15 10.15 0 0; 16 12.85 0 0; 17 13.15 0 0;
MEMBER INCIDENCES
1 1 8; 2 3 9; 3 4 17; 4 5 11; 5 6 13; 6 7 15; 7 8 3; 8 9 10; 9 10 5; 10 11 12;
11 12 6; 12 13 14; 13 14 7; 14 15 16; 15 16 4; 16 17 2;
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 3.15e+006
POISSON 0.17
DENSITY 2.5
ALPHA 1e-005
DAMP 0.05
ISOTROPIC MATERIAL2
E 3.15e+006
POISSON 0.17
DENSITY 0.001
ALPHA 1e-005
DAMP 0.05
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TO 16 PRIS YD 0.225 ZD 1
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
3 TO 7 PINNED
******* 40TB (LEFT C/WAY)
LOAD 1
MEMBER LOAD
10 UNI GY -7.068 0 0.2
4 UNI GY -7.068 0 0.15
9 UNI GY -7.068 0 0.15
8 UNI GY -7.068 1.76 2.7
10 UNI GY -4.877 0.69 2.13
LOAD 2
MEMBER LOAD
10 UNI GY -8.005 0 0.275
4 UNI GY -8.005 0 0.15
9 UNI GY -8.005 0 0.15
8 UNI GY -8.005 1.835 2.7
10 UNI GY -4.894 0.765 2.205
LOAD 3
MEMBER LOAD
10 UNI GY -8.681 0 0.35
4 UNI GY -8.681 0 0.15
9 UNI GY -8.681 0 0.15
8 UNI GY -8.681 1.91 2.7
10 UNI GY -4.926 0.84 2.28
LOAD 4
MEMBER LOAD
10 UNI GY -8.681 0 0.425
4 UNI GY -8.681 0 0.15
9 UNI GY -8.681 0 0.15
8 UNI GY -8.681 1.985 2.7
10 UNI GY -4.971 0.915 2.355
LOAD 5
MEMBER LOAD
10 UNI GY -8.681 0 0.5
4 UNI GY -8.681 0 0.15
9 UNI GY -8.681 0 0.15
8 UNI GY -8.681 2.06 2.7
10 UNI GY -5.032 0.99 2.43
LOAD 6
MEMBER LOAD
10 UNI GY -8.681 0 0.576
4 UNI GY -8.681 0 0.15
9 UNI GY -8.681 0 0.15
8 UNI GY -8.681 2.136 2.7
10 UNI GY -5.108 1.066 2.506
LOAD 7
MEMBER LOAD
10 UNI GY -8.681 0 0.651
4 UNI GY -8.681 0 0.15
9 UNI GY -8.681 0 0.15
8 UNI GY -8.681 2.211 2.7
10 UNI GY -5.203 1.141 2.581
LOAD 8
MEMBER LOAD
10 UNI GY -8.681 0 0.726
4 UNI GY -8.681 0 0.15
9 UNI GY -8.681 0 0.15
8 UNI GY -8.681 2.286 2.7
10 UNI GY -5.316 1.216 2.656
LOAD 9
MEMBER LOAD
10 UNI GY -8.681 0 0.801
4 UNI GY -8.681 0 0.15
9 UNI GY -8.681 0 0.15
8 UNI GY -8.681 2.361 2.7
11 UNI GY -5.452 0 0.0310001
10 UNI GY -5.452 1.291 2.7
LOAD 10
MEMBER LOAD
10 UNI GY -7.837 0 0.876
4 UNI GY -7.837 0 0.15
9 UNI GY -7.837 0 0.15
8 UNI GY -7.837 2.436 2.7
11 UNI GY -5.612 0 0.106
10 UNI GY -5.612 1.366 2.7
LOAD 11
MEMBER LOAD
10 UNI GY -7.006 0 0.951
4 UNI GY -7.006 0 0.15
9 UNI GY -7.006 0 0.15
8 UNI GY -7.006 2.511 2.7
5 UNI GY -5.801 0 0.0310001
11 UNI GY -5.801 0 0.15
10 UNI GY -5.801 1.441 2.7
LOAD 12
MEMBER LOAD
10 UNI GY -6.629 0 1.026
4 UNI GY -6.629 0 0.15
9 UNI GY -6.629 0 0.15
8 UNI GY -6.629 2.586 2.7
5 UNI GY -6.024 0 0.106
11 UNI GY -6.024 0 0.15
10 UNI GY -6.024 1.516 2.7
LOAD 13
MEMBER LOAD
10 UNI GY -6.313 0 1.101
4 UNI GY -6.313 0 0.15
9 UNI GY -6.313 0 0.15
8 UNI GY -6.313 2.661 2.7
12 UNI GY -6.286 0 0.0309999
5 UNI GY -6.286 0 0.15
11 UNI GY -6.286 0 0.15
10 UNI GY -6.286 1.591 2.7
LOAD 14
MEMBER LOAD
10 UNI GY -6.047 0 1.177
4 UNI GY -6.047 0 0.15
9 UNI GY -6.047 0.0370002 0.15
12 UNI GY -6.597 0 0.107
5 UNI GY -6.597 0 0.15
11 UNI GY -6.597 0 0.15
10 UNI GY -6.597 1.667 2.7
LOAD 15
MEMBER LOAD
10 UNI GY -5.821 0 1.252
4 UNI GY -5.821 0 0.15
9 UNI GY -5.821 0.112 0.15
12 UNI GY -6.967 0 0.182
5 UNI GY -6.967 0 0.15
11 UNI GY -6.967 0 0.15
10 UNI GY -6.967 1.742 2.7
LOAD 16
MEMBER LOAD
10 UNI GY -5.629 0 1.327
4 UNI GY -5.629 0.0370002 0.15
12 UNI GY -7.734 0 0.257
5 UNI GY -7.734 0 0.15
11 UNI GY -7.734 0 0.15
10 UNI GY -7.734 1.817 2.7
LOAD 17
MEMBER LOAD
10 UNI GY -5.466 0 1.402
4 UNI GY -5.466 0.112 0.15
12 UNI GY -8.681 0 0.332
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 1.892 2.7
LOAD 18
MEMBER LOAD
10 UNI GY -5.328 0.0369999 1.477
12 UNI GY -8.681 0 0.407
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 1.967 2.7
LOAD 19
MEMBER LOAD
10 UNI GY -5.213 0.112 1.552
12 UNI GY -8.681 0 0.482
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.042 2.7
LOAD 20
MEMBER LOAD
10 UNI GY -5.117 0.187 1.627
12 UNI GY -8.681 0 0.557
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.117 2.7
LOAD 21
MEMBER LOAD
10 UNI GY -5.038 0.262 1.702
12 UNI GY -8.681 0 0.632
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.192 2.7
LOAD 22
MEMBER LOAD
10 UNI GY -4.976 0.338 1.778
12 UNI GY -8.681 0 0.708
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.268 2.7
LOAD 23
MEMBER LOAD
10 UNI GY -4.929 0.413 1.853
12 UNI GY -8.681 0 0.783
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.343 2.7
LOAD 24
MEMBER LOAD
10 UNI GY -4.897 0.488 1.928
12 UNI GY -8.117 0 0.858
5 UNI GY -8.117 0 0.15
11 UNI GY -8.117 0 0.15
10 UNI GY -8.117 2.418 2.7
LOAD 25
MEMBER LOAD
10 UNI GY -4.878 0.563 2.003
12 UNI GY -7.108 0 0.933
5 UNI GY -7.108 0 0.15
11 UNI GY -7.108 0 0.15
10 UNI GY -7.108 2.493 2.7
LOAD 26
MEMBER LOAD
10 UNI GY -4.873 0.638 2.078
12 UNI GY -6.715 0 1.008
5 UNI GY -6.715 0 0.15
11 UNI GY -6.715 0 0.15
10 UNI GY -6.715 2.568 2.7
LOAD 27
MEMBER LOAD
10 UNI GY -4.881 0.713 2.153
12 UNI GY -6.385 0 1.083
5 UNI GY -6.385 0 0.15
11 UNI GY -6.385 0 0.15
10 UNI GY -6.385 2.643 2.7
LOAD 28
MEMBER LOAD
10 UNI GY -4.902 0.788 2.228
12 UNI GY -6.108 0 1.158
5 UNI GY -6.108 0 0.15
11 UNI GY -6.108 0.0180001 0.15
LOAD 29
MEMBER LOAD
10 UNI GY -4.938 0.863 2.303
12 UNI GY -5.873 0 1.233
5 UNI GY -5.873 0 0.15
11 UNI GY -5.873 0.0930002 0.15
LOAD 30
MEMBER LOAD
10 UNI GY -4.988 0.938 2.378
12 UNI GY -5.673 0 1.308
5 UNI GY -5.673 0.0180001 0.15
LOAD 31
MEMBER LOAD
10 UNI GY -5.053 1.014 2.454
12 UNI GY -5.503 0 1.384
5 UNI GY -5.503 0.0939999 0.15
LOAD 32
MEMBER LOAD
10 UNI GY -5.135 1.089 2.529
12 UNI GY -5.36 0.0189999 1.459
LOAD 33
MEMBER LOAD
10 UNI GY -5.235 1.164 2.604
12 UNI GY -5.239 0.0939999 1.534
LOAD 34
MEMBER LOAD
10 UNI GY -5.356 1.239 2.679
12 UNI GY -5.138 0.169 1.609
LOAD 35
MEMBER LOAD
11 UNI GY -5.498 0 0.0540001
10 UNI GY -5.498 1.314 2.7
12 UNI GY -5.056 0.244 1.684
LOAD 36
MEMBER LOAD
11 UNI GY -5.667 0 0.129
10 UNI GY -5.667 1.389 2.7
12 UNI GY -4.99 0.319 1.759
LOAD 37
MEMBER LOAD
5 UNI GY -5.866 0 0.0539999
11 UNI GY -5.866 0 0.15
10 UNI GY -5.866 1.464 2.7
12 UNI GY -4.939 0.394 1.834
LOAD 38
MEMBER LOAD
5 UNI GY -6.1 0 0.129
11 UNI GY -6.1 0 0.15
10 UNI GY -6.1 1.539 2.7
12 UNI GY -4.903 0.469 1.909
LOAD 39
MEMBER LOAD
12 UNI GY -6.376 0 0.0549999
5 UNI GY -6.376 0 0.15
11 UNI GY -6.376 0 0.15
10 UNI GY -6.376 1.615 2.7
12 UNI GY -4.881 0.545 1.985
LOAD 40
MEMBER LOAD
12 UNI GY -6.703 0 0.13
5 UNI GY -6.703 0 0.15
11 UNI GY -6.703 0 0.15
10 UNI GY -6.703 1.69 2.7
12 UNI GY -4.873 0.62 2.06
LOAD 41
MEMBER LOAD
12 UNI GY -7.095 0 0.205
5 UNI GY -7.095 0 0.15
11 UNI GY -7.095 0 0.15
10 UNI GY -7.095 1.765 2.7
12 UNI GY -4.878 0.695 2.135
LOAD 42
MEMBER LOAD
12 UNI GY -8.08 0 0.28
5 UNI GY -8.08 0 0.15
11 UNI GY -8.08 0 0.15
10 UNI GY -8.08 1.84 2.7
12 UNI GY -4.896 0.77 2.21
LOAD 43
MEMBER LOAD
12 UNI GY -8.681 0 0.355
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 1.915 2.7
12 UNI GY -4.928 0.845 2.285
LOAD 44
MEMBER LOAD
12 UNI GY -8.681 0 0.43
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 1.99 2.7
12 UNI GY -4.974 0.92 2.36
LOAD 45
MEMBER LOAD
12 UNI GY -8.681 0 0.505
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.065 2.7
12 UNI GY -5.036 0.995 2.435
LOAD 46
MEMBER LOAD
12 UNI GY -8.681 0 0.58
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.14 2.7
12 UNI GY -5.114 1.07 2.51
LOAD 47
MEMBER LOAD
12 UNI GY -8.681 0 0.655
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.215 2.7
12 UNI GY -5.209 1.145 2.585
LOAD 48
MEMBER LOAD
12 UNI GY -8.681 0 0.731
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.291 2.7
12 UNI GY -5.324 1.221 2.661
LOAD 49
MEMBER LOAD
12 UNI GY -8.681 0 0.806
5 UNI GY -8.681 0 0.15
11 UNI GY -8.681 0 0.15
10 UNI GY -8.681 2.366 2.7
13 UNI GY -5.461 0 0.0359995
12 UNI GY -5.461 1.296 2.7
LOAD 50
MEMBER LOAD
12 UNI GY -7.768 0 0.881
5 UNI GY -7.768 0 0.15
11 UNI GY -7.768 0 0.15
10 UNI GY -7.768 2.441 2.7
13 UNI GY -5.623 0 0.111
12 UNI GY -5.623 1.371 2.7
LOAD 51
MEMBER LOAD
12 UNI GY -6.98 0 0.956
5 UNI GY -6.98 0 0.15
11 UNI GY -6.98 0 0.15
10 UNI GY -6.98 2.516 2.7
6 UNI GY -5.814 0 0.0360003
13 UNI GY -5.814 0 0.15
12 UNI GY -5.814 1.446 2.7
LOAD 52
MEMBER LOAD
12 UNI GY -6.607 0 1.031
5 UNI GY -6.607 0 0.15
11 UNI GY -6.607 0 0.15
10 UNI GY -6.607 2.591 2.7
6 UNI GY -6.039 0 0.111
13 UNI GY -6.039 0 0.15
12 UNI GY -6.039 1.521 2.7
LOAD 53
MEMBER LOAD
12 UNI GY -6.295 0 1.106
5 UNI GY -6.295 0 0.15
11 UNI GY -6.295 0 0.15
10 UNI GY -6.295 2.666 2.7
14 UNI GY -6.304 0 0.0360004
6 UNI GY -6.304 0 0.15
13 UNI GY -6.304 0 0.15
12 UNI GY -6.304 1.596 2.7
LOAD 54
MEMBER LOAD
12 UNI GY -6.031 0 1.181
5 UNI GY -6.031 0 0.15
11 UNI GY -6.031 0.0410001 0.15
14 UNI GY -6.618 0 0.111
6 UNI GY -6.618 0 0.15
13 UNI GY -6.618 0 0.15
12 UNI GY -6.618 1.671 2.7
LOAD 55
MEMBER LOAD
12 UNI GY -5.808 0 1.256
5 UNI GY -5.808 0 0.15
11 UNI GY -5.808 0.116 0.15
14 UNI GY -6.993 0 0.186
6 UNI GY -6.993 0 0.15
13 UNI GY -6.993 0 0.15
12 UNI GY -6.993 1.746 2.7
LOAD 56
MEMBER LOAD
12 UNI GY -5.618 0 1.332
5 UNI GY -5.618 0.0419998 0.15
14 UNI GY -7.803 0 0.262
6 UNI GY -7.803 0 0.15
13 UNI GY -7.803 0 0.15
12 UNI GY -7.803 1.822 2.7
LOAD 57
MEMBER LOAD
12 UNI GY -5.457 0 1.407
5 UNI GY -5.457 0.117 0.15
14 UNI GY -8.681 0 0.337
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 1.897 2.7
LOAD 58
MEMBER LOAD
12 UNI GY -5.32 0.0419999 1.482
14 UNI GY -8.681 0 0.412
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 1.972 2.7
LOAD 59
MEMBER LOAD
12 UNI GY -5.206 0.117 1.557
14 UNI GY -8.681 0 0.487
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 2.047 2.7
LOAD 60
MEMBER LOAD
12 UNI GY -5.111 0.192 1.632
14 UNI GY -8.681 0 0.562
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 2.122 2.7
LOAD 61
MEMBER LOAD
12 UNI GY -5.034 0.267 1.707
14 UNI GY -8.681 0 0.637
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 2.197 2.7
LOAD 62
MEMBER LOAD
12 UNI GY -4.973 0.342 1.782
14 UNI GY -8.681 0 0.712
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 2.272 2.7
LOAD 63
MEMBER LOAD
12 UNI GY -4.927 0.417 1.857
14 UNI GY -8.681 0 0.787
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 2.347 2.7
LOAD 64
MEMBER LOAD
12 UNI GY -4.895 0.492 1.932
14 UNI GY -8.042 0 0.863
6 UNI GY -8.042 0 0.15
13 UNI GY -8.042 0 0.15
12 UNI GY -8.042 2.422 2.7
LOAD 65
MEMBER LOAD
12 UNI GY -4.877 0.568 2.008
14 UNI GY -7.081 0 0.938
6 UNI GY -7.081 0 0.15
13 UNI GY -7.081 0 0.15
12 UNI GY -7.081 2.498 2.7
LOAD 66
MEMBER LOAD
12 UNI GY -4.873 0.643 2.083
14 UNI GY -6.692 0 1.013
6 UNI GY -6.692 0 0.15
13 UNI GY -6.692 0 0.15
12 UNI GY -6.692 2.573 2.7
LOAD 67
MEMBER LOAD
12 UNI GY -4.882 0.718 2.158
14 UNI GY -6.366 0 1.088
6 UNI GY -6.366 0 0.15
13 UNI GY -6.366 0 0.15
12 UNI GY -6.366 2.648 2.7
LOAD 68
MEMBER LOAD
12 UNI GY -4.904 0.793 2.233
14 UNI GY -6.092 0 1.163
6 UNI GY -6.092 0 0.15
13 UNI GY -6.092 0.0229995 0.15
LOAD 69
MEMBER LOAD
12 UNI GY -4.941 0.868 2.308
14 UNI GY -5.859 0 1.238
6 UNI GY -5.859 0 0.15
13 UNI GY -5.859 0.0979996 0.15
LOAD 70
MEMBER LOAD
12 UNI GY -4.992 0.943 2.383
14 UNI GY -5.661 0 1.313
6 UNI GY -5.661 0.0229998 0.15
LOAD 71
MEMBER LOAD
12 UNI GY -5.058 1.018 2.458
14 UNI GY -5.494 0 1.388
6 UNI GY -5.494 0.0979996 0.15
LOAD 72
MEMBER LOAD
12 UNI GY -5.141 1.093 2.533
14 UNI GY -5.352 0.0230004 1.463
LOAD 73
MEMBER LOAD
12 UNI GY -5.242 1.169 2.609
14 UNI GY -5.232 0.0990004 1.539
LOAD 74
MEMBER LOAD
12 UNI GY -5.364 1.244 2.684
14 UNI GY -5.133 0.174 1.614
LOAD 75
MEMBER LOAD
13 UNI GY -5.508 0 0.0589995
12 UNI GY -5.508 1.319 2.7
14 UNI GY -5.051 0.249 1.689
LOAD 76
MEMBER LOAD
13 UNI GY -5.679 0 0.134
12 UNI GY -5.679 1.394 2.7
14 UNI GY -4.986 0.324 1.764
LOAD 77
MEMBER LOAD
6 UNI GY -5.879 0 0.059
13 UNI GY -5.879 0 0.15
12 UNI GY -5.879 1.469 2.7
14 UNI GY -4.937 0.399 1.839
LOAD 78
MEMBER LOAD
6 UNI GY -6.116 0 0.134
13 UNI GY -6.116 0 0.15
12 UNI GY -6.116 1.544 2.7
14 UNI GY -4.902 0.474 1.914
LOAD 79
MEMBER LOAD
14 UNI GY -6.395 0 0.0590004
6 UNI GY -6.395 0 0.15
13 UNI GY -6.395 0 0.15
12 UNI GY -6.395 1.619 2.7
14 UNI GY -4.88 0.549 1.989
LOAD 80
MEMBER LOAD
14 UNI GY -6.726 0 0.134
6 UNI GY -6.726 0 0.15
13 UNI GY -6.726 0 0.15
12 UNI GY -6.726 1.694 2.7
14 UNI GY -4.873 0.624 2.064
LOAD 81
MEMBER LOAD
14 UNI GY -7.129 0 0.21
6 UNI GY -7.129 0 0.15
13 UNI GY -7.129 0 0.15
12 UNI GY -7.129 1.77 2.7
14 UNI GY -4.878 0.7 2.14
LOAD 82
MEMBER LOAD
14 UNI GY -8.156 0 0.285
6 UNI GY -8.156 0 0.15
13 UNI GY -8.156 0 0.15
12 UNI GY -8.156 1.845 2.7
14 UNI GY -4.898 0.775 2.215
LOAD 83
MEMBER LOAD
14 UNI GY -8.681 0 0.36
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 1.92 2.7
14 UNI GY -4.931 0.85 2.29
LOAD 84
MEMBER LOAD
14 UNI GY -8.681 0 0.435
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 1.995 2.7
14 UNI GY -4.978 0.925 2.365
LOAD 85
MEMBER LOAD
14 UNI GY -8.681 0 0.51
6 UNI GY -8.681 0 0.15
13 UNI GY -8.681 0 0.15
12 UNI GY -8.681 2.07 2.7
14 UNI GY -5.04 1 2.44
LOAD 101
SELFWEIGHT Y -1
MEMBER LOAD
1 CON GY -1 0.25
16 CON GY -1 0.6
7 UNI GY -1.125 0 0.15
1 UNI GY -1.125 0.5 0.85
8 UNI GY -1.125 0 0.85
2 UNI GY -1.125 0 0.15
****************************** CRASH BARRIER @ 1.0 T/M
LOAD 102
MEMBER LOAD
9 UNI GY -0.2 0 0.15
8 UNI GY -0.2 0.85 2.7
16 UNI GY -0.2 0 0.35
3 UNI GY -0.2 0 0.15
15 UNI GY -0.2 0 0.150001
14 UNI GY -0.2 0 2.7
6 UNI GY -0.2 0 0.15
13 UNI GY -0.2 0 0.15
12 UNI GY -0.2 0 2.7
5 UNI GY -0.2 0 0.15
11 UNI GY -0.2 0 0.15
10 UNI GY -0.2 0 2.7
4 UNI GY -0.2 0 0.15
******************************* WEARING COAT
******************************* wearing coat 0.2t/m2
LOAD 103
MEMBER LOAD
7 UNI GY -0.433 0 0.15
1 UNI GY -0.433 0.5 0.85
8 UNI GY -0.433 0 0.85
2 UNI GY -0.433 0 0.15
******************************* FPLL
******************************* FPLL 0.433t/m2
LOAD 104
MEMBER LOAD
1 TO 16 UNI GY -0.2
******************* ULS COMBINATION **************
**************************************************
*LOAD COMBINATION 1001
*1 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1002
*2 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1003
*3 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1004
*4 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1005
*5 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1006
*6 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1007
*7 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1008
*8 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1009
*9 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1010
*10 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1011
*11 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1012
*12 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1013
*13 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1014
*14 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1015
*15 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1016
*16 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1017
*17 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1018
*18 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1019
*19 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1020
*20 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1021
*21 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1022
*22 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1023
*23 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1024
*24 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1025
*25 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1026
*26 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1027
*27 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1028
*28 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1029
*29 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1030
*30 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1031
*31 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1032
*32 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1033
*33 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1034
*34 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1035
*35 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1036
*36 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1037
*37 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1038
*38 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1039
*39 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1040
*40 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1041
*41 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1042
*42 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1043
*43 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1044
*44 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1045
*45 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1046
*46 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1047
*47 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1048
*48 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1049
*49 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1050
*50 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1051
*51 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1052
*52 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1053
*53 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1054
*54 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1055
*55 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1056
*56 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1057
*57 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1058
*58 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1059
*59 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1060
*60 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1061
*61 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1062
*62 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1063
*63 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1064
*64 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1065
*65 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1066
*66 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1067
*67 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1068
*68 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1069
*69 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1070
*70 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1071
*71 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1072
*72 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1073
*73 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1074
*74 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1075
*75 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1076
*76 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1077
*77 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1078
*78 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1079
*79 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1080
*80 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1081
*81 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1082
*82 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1083
*83 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1084
*84 1.5 101 1.35 102 1.75 103 1.5 104 0.9
*LOAD COMBINATION 1085
*85 1.5 101 1.35 102 1.75 103 1.5 104 0.9
**************************************************
***************************************************
***************************************************
*LOAD COMBINATION 1086
*1 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1087
*2 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1088
*3 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1089
*4 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1090
*5 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1091
*6 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1092
*7 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1093
*8 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1094
*9 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1095
*10 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1096
*11 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1097
*12 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1098
*13 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1099
*14 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1100
*15 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1101
*16 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1102
*17 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1103
*18 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1104
*19 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1105
*20 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1106
*21 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1107
*22 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1108
*23 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1109
*24 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1110
*25 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1111
*26 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1112
*27 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1113
*28 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1114
*29 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1115
*30 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1116
*31 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1117
*32 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1118
*33 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1119
*34 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1120
*35 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1121
*36 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1122
*37 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1123
*38 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1124
*39 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1125
*40 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1126
*41 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1127
*42 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1128
*43 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1129
*44 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1130
*45 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1131
*46 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1132
*47 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1133
*48 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1134
*49 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1135
*50 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1136
*51 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1137
*52 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1138
*53 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1139
*54 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1140
*55 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1141
*56 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1142
*57 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1143
*58 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1144
*59 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1145
*60 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1146
*61 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1147
*62 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1148
*63 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1149
*64 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1150
*65 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1151
*66 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1152
*67 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1153
*68 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1154
*69 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1155
*70 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1156
*71 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1157
*72 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1158
*73 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1159
*74 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1160
*75 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1161
*76 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1162
*77 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1163
*78 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1164
*79 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1165
*80 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1166
*81 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1167
*82 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1168
*83 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1169
*84 1.15 101 1.35 102 1.75 103 1.15 104 1.5
*LOAD COMBINATION 1170
*85 1.15 101 1.35 102 1.75 103 1.15 104 1.5
********************************************
*********** SLS COMBINATION (FOR TEMP CASE) **********
**************************************************
**************************************************
*LOAD COMBINATION 2001
*1 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2002
*2 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2003
*3 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2004
*4 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2005
*5 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2006
*6 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2007
*7 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2008
*8 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2009
*9 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2010
*10 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2011
*11 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2012
*12 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2013
*13 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2014
*14 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2015
*15 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2016
*16 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2017
*17 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2018
*18 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2019
*19 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2020
*20 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2021
*21 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2022
*22 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2023
*23 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2024
*24 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2025
*25 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2026
*26 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2027
*27 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2028
*28 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2029
*29 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2030
*30 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2031
*31 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2032
*32 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2033
*33 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2034
*34 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2035
*35 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2036
*36 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2037
*37 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2038
*38 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2039
*39 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2040
*40 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2041
*41 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2042
*42 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2043
*43 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2044
*44 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2045
*45 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2046
*46 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2047
*47 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2048
*48 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2049
*49 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2050
*50 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2051
*51 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2052
*52 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2053
*53 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2054
*54 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2055
*55 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2056
*56 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2057
*57 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2058
*58 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2059
*59 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2060
*60 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2061
*61 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2062
*62 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2063
*63 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2064
*64 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2065
*65 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2066
*66 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2067
*67 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2068
*68 1.0 101 1.0 102 1.0 103 1.0
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*69 1.0 101 1.0 102 1.0 103 1.0
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*70 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2071
*71 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2072
*72 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2073
*73 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2074
*74 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2075
*75 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2076
*76 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2077
*77 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2078
*78 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2079
*79 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2080
*80 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2081
*81 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2082
*82 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2083
*83 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2084
*84 1.0 101 1.0 102 1.0 103 1.0
*LOAD COMBINATION 2085
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***************************************
********************************************
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********************************************
***************************************
********************************************
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********************************************
*********************************************
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LOAD COMBINATION 2087
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LOAD COMBINATION 2088
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LOAD COMBINATION 2090
5 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2091
6 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2092
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LOAD COMBINATION 2093
8 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2094
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LOAD COMBINATION 2095
10 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2096
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LOAD COMBINATION 2097
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LOAD COMBINATION 2098
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LOAD COMBINATION 2099
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LOAD COMBINATION 2100
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LOAD COMBINATION 2101
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LOAD COMBINATION 2102
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LOAD COMBINATION 2103
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LOAD COMBINATION 2104
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LOAD COMBINATION 2105
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LOAD COMBINATION 2106
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LOAD COMBINATION 2107
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LOAD COMBINATION 2108
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LOAD COMBINATION 2109
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LOAD COMBINATION 2110
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LOAD COMBINATION 2111
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LOAD COMBINATION 2112
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LOAD COMBINATION 2113
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LOAD COMBINATION 2114
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LOAD COMBINATION 2115
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LOAD COMBINATION 2116
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LOAD COMBINATION 2117
32 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2118
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LOAD COMBINATION 2119
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LOAD COMBINATION 2120
35 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2121
36 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2122
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LOAD COMBINATION 2123
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LOAD COMBINATION 2124
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LOAD COMBINATION 2125
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LOAD COMBINATION 2126
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LOAD COMBINATION 2127
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LOAD COMBINATION 2128
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LOAD COMBINATION 2129
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LOAD COMBINATION 2130
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LOAD COMBINATION 2131
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LOAD COMBINATION 2132
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LOAD COMBINATION 2133
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LOAD COMBINATION 2134
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LOAD COMBINATION 2135
50 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2136
51 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2137
52 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2138
53 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2139
54 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2140
55 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2141
56 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2142
57 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2143
58 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2144
59 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2145
60 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2146
61 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2147
62 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2148
63 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2149
64 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2150
65 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2151
66 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2152
67 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2153
68 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2154
69 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2155
70 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2156
71 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2157
72 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2158
73 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2159
74 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2160
75 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2161
76 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2162
77 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2163
78 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2164
79 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2165
80 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2166
81 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2167
82 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2168
83 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2169
84 0.75 101 1.0 102 1.0 103 0.75
LOAD COMBINATION 2170
85 0.75 101 1.0 102 1.0 103 0.75
*******************************************
************************************************
**************SLS (WIND CASE)***********************
****************************************************
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*4 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*8 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*23 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*26 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*27 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*30 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*31 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*32 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*33 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*34 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*35 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*36 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*37 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*38 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*39 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*40 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*41 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*42 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*43 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*44 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*45 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*46 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*47 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*48 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*49 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*50 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*51 1.0 101 1.0 102 1.0 103 1.0 104 0.6
*LOAD COMBINATION 3052
*52 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*53 1.0 101 1.0 102 1.0 103 1.0 104 0.6
*LOAD COMBINATION 3054
*54 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*55 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*56 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*57 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*58 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*59 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*60 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*61 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*62 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*63 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*64 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*65 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*66 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*67 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*68 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*69 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*70 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*71 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*72 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*73 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*75 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*76 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*77 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*78 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*79 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*80 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*81 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*82 1.0 101 1.0 102 1.0 103 1.0 104 0.6
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*83 1.0 101 1.0 102 1.0 103 1.0 104 0.6
*LOAD COMBINATION 3084
*84 1.0 101 1.0 102 1.0 103 1.0 104 0.6
*LOAD COMBINATION 3085
*85 1.0 101 1.0 102 1.0 103 1.0 104 0.6
**********************************************
**********************************************
**********************************************
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*3 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*4 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*5 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*6 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*8 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*10 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*11 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*12 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*13 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*14 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*15 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*16 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*17 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*18 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*19 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*20 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*21 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*23 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*24 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*25 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*26 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*27 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*28 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3114
*29 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*30 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3116
*31 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*32 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3118
*33 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3119
*34 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3120
*35 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3121
*36 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3122
*37 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3123
*38 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3124
*39 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*40 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3126
*41 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3127
*42 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3128
*43 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3129
*44 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3130
*45 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3131
*46 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3132
*47 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3133
*48 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3134
*49 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3135
*50 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3136
*51 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3137
*52 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3138
*53 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3139
*54 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3140
*55 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3141
*56 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3142
*57 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*58 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3144
*59 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*60 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3146
*61 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*62 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*63 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*65 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*66 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*67 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*68 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*71 0.75 101 1.0 102 1.0 103 0.75 104 1.0
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*LOAD COMBINATION 3162
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*LOAD COMBINATION 3163
*78 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3164
*79 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3165
*80 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3166
*81 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3167
*82 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3168
*83 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3169
*84 0.75 101 1.0 102 1.0 103 0.75 104 1.0
*LOAD COMBINATION 3170
*85 0.75 101 1.0 102 1.0 103 0.75 104 1.0
PERFORM ANALYSIS
FINISH
PROVISION OF UNTENSIONED REINFORCEMENT IN BEAMS

Minimum reinforcement for crack control refer clause no: 12.3.3 of IRC:112-2011.

As.min * σs = kc * k * fct,eff * Act

where, As.min = Area of reinforcing steel in tensile zone.


σs = 280 Mpa for bars upto 12mm dia as per Table: 12.2
fct,eff = 3.3 Mpa as per Table: 6.5
Act = Area of concrete in tensile zone.

For Bottom Flange :

Width of bottom flange = 0.8 m


Depth of bottom flange = 0.25 m
Depth of the beam = 1.5 m
Depth of composite section (h) = 1.725 m
Width of web (b) = 0.3 m
Stress at top of girder = 8.891 Mpa (Compressive)
Stress at bottom of girder = 0.7446 Mpa (Tensile)
Neutral axis from bottom flange = 0.116 m
Area of concrete in tensile zone (Act) = 0.093 m2
Area of flange in tensile zone (Af) = 0.093 m2
σs = 280 Mpa for bars upto 12mm dia as per Table: 12.2
fct,eff = 3.3 Mpa as per Table: 6.5
k= 0.65
kc = 0.9 * Fcr / (Act * fct,eff)
Fcr = 306012.7 N
kc = 0.900
2
As.min = 639 mm

Provide, 6 Nos. 12 mm + 4 Nos. 12 mm dia bars in flange


2
As, provided = 1131 mm OK

Reinforcement in Web :

k= 0.65
kc = 0.4 * [ 1 - σc / {k1*(h/h1) * fct,eff }]
σc = Ned/(b*h)
Ned = Characteristic value of prestress = 7674000 N Compressive
σc = 14.83 Mpa
h= 1725 mm
h1 = 1000 mm
k1 = 1.5
kc = 0.000
As.min = 0 mm2

Provide, 1 Nos. 10 mm dia bars in flange


2
As, provided = 79 mm OK

For Top Flange :

Width of top flange = 1 m


Depth of top flange = 0.215 m
Depth of the beam = 1.5 m
Depth of composite section (h) = 1.725 m
Width of web (b) = 0.3 m
Stress at top of girder = 2.0935 Mpa (Tensile)
Stress at bottom of girder = 18.743 Mpa (Compressive)
Neutral axis from top flange = 0.151 m
Area of concrete in tensile zone (Act) = 0.151 m2
Area of flange in tensile zone (Af) = 0.151 m2
σs = 280 Mpa for bars upto 12mm dia as per Table: 12.2
fct,eff = 3.3 Mpa as per Table: 6.5
k= 0.65
kc = 0.9 * Fcr / (Act * fct,eff)
Fcr = 497340 N
kc = 0.900
2
As.min = 1039 mm

Provide, 6 Nos. 16 + 2 Nos. 16 mm dia bars in flange


2
As, provided = 1608 mm OK

For Top Deck :

Width of top flange = 1 m


Depth of top flange = 0.215 m
Depth of the beam = 1.5 m
Depth of composite section (h) = 1.725 m
Width of web (b) = 0.3 m
Stress at top of girder = 2.523 Mpa (Compressive)
Stress at top of slab = 2.26 Mpa (Tensile)
Neutral axis from top flange = 0.102 m
Area of concrete in tensile zone (Act) = 0.102 m2
Area of flange in tensile zone (Af) = 0.102 m2
σs = 280 Mpa for bars upto 12mm dia as per Table: 12.2
fct,eff = 3.3 Mpa as per Table: 6.5
k= 0.65
kc = 0.9 * Fcr / (Act * fct,eff)
Fcr = 335243.6 N
kc = 0.900
2
As.min = 700 mm

Provide, 10 Nos. 10 mm dia bars


2
As, provided = 785 mm OK

For Web :

Minimum surface reinforcement refer clause no: 16.5.4 of IRC:112-2011.

Clear cover = 40 mm
Clear web depth = 800 mm
2
Act.ext = 32000 mm
Surface reinforcement (As.sur) = 0.01 * (Act.ext)
2
As.sur = 320 mm

Provide, 6 Nos. 10 mm dia bars in each side


2
As, provided = 471 mm OK

Maximum spacing permitted = 200 mm


Spacing between bars = 160.0 mm OK

Minimum vertical reinforcement refer clause no: 16.5.2 of IRC:112-2011.

Asw = 0.072 * sqrt(fck) / fyk * s * bw

fck = 45 Mpa
fyk = 500 Mpa
s= 200 mm
bw = ( at mid span ) 300 mm
bw = ( at support ) 800 mm
2
Asw = ( at mid span ) 58.0 mm
Provide, 2L 10 mm closed bars
2
As, provided = 157 mm OK

2
Asw = ( at support ) 154.6 mm
Provide, 4L 10 mm closed bars
2
As, provided = 314 mm OK
DESIGN OF SHEAR CONNECTORS [As per clause 611.4.2 of IRC:22, 1986]
( At Deff from face of Support of Inner Girder )

Shear Force Due to

Dead Load = 36.00 t


SIDL = 6.80 t
Live Load = 43.16 t

VL = VAeY/I

VL = Longitudinal shear per unit length


V= Vertical shear
Ae = Area of transformed section on one side of interface
Y = Distance of cg of the area under consideration from NA of compostie section
I = Moment of Inertia of section

V = 1.5*(36.00+6.8+0+0)+2.5*43.16 = 172.10 T

2
Ae = ( 3*0.225 ) = = 0.675 m

Y = (1.725 - 1.0667- 0.225/2 ) = 0.5458 m

I= = 0.5534 m4

VL = 172.10*0.6750*0.5458/0.5534 = 114.57 T

Provide 4 Legged 12 φ @ 200 c/c


As Shear Connector
2 Legged 12 φ @ 200 c/c

-4
Ultimate Shear capacity, Qu = As * fu * 10

As = The cross section area of anchorage connector = 3393 mm2


fu = The ultimate tensile strength of steel = 500 Mpa

Qu = Ultimate Shear capacity = 169.65 T


> VL , Hence OK
DESIGN OF SHEAR CONNECTORS [As per clause 611.4.2 of IRC:22, 1986]
( At Deff from face of Support of Outer Girder )

Shear Force Due to

Dead Load = 33.20 t


SIDL = 22.50 t
Live Load = 15.32 t

VL = VAeY/I

VL = Longitudinal shear per unit length


V= Vertical shear
Ae = Area of transformed section on one side of interface
Y = Distance of cg of the area under consideration from NA of compostie section
I = Moment of Inertia of section

V = 1.5*(33.20+22.5+0+0)+2.5*15.32 = 121.85 T

2
Ae = ( 2.500*0.225 ) = = 0.563 m

Y = ( 1.725 - 1.0324 - 0.225/2 ) = 0.5801 m

I= = 0.5173 m4

VL = 121.85*0.5625*0.5801/0.5173 = 76.86 T

Provide 4 Legged 12 φ @ 200 c/c


As Shear Connector
2 Legged 12 φ @ 200 c/c

-4
Ultimate Shear capacity, Qu = As * fu * 10

As = The cross section area of anchorage connector = 3393 mm2


fu = The ultimate tensile strength of steel = 500 Mpa

Qu = Ultimate Shear capacity = 169.65 T


> VL , Hence OK
DESIGN OF END ANCHORAGE (as per IRC-112-2011)

340

800

Cross Section of Beam at Support

Permissible Bearing stress behind anchorage

Size of Anchor Block 257 mm


Fcj 45 Mpa
Internal duct diameter = 85 mm

Frdu = 0.67fcj(Ac1/Ac0)^0.5*Ac0 or 3*0.67*fcj*Ac0 whichever is smaller (ref cl 16.11.1 of IRC:112-2011)


Ac0=0.257*0.257-0.785*0.085^2 0.06038 sqm
Ac1=0.34*0.34-0.785*0.085^2 0.10993 sqm

Frdu = 0.67*45*(0.10993/0.06038)^0.5*0.06038 = 2456.4KN

3*0.67*fcj*Ac0 = 3*0.67*45*60380 = 5461.4KN

hence Frdu = 2456.4KN

Max force in cable to be resisted = 3839.3KN (as per clause 13.2.3 IRC-112-2011)

Confinement of concrete is required as per clause A2.8 / Page 241

0.67fckc (Ac1/Ac0)^0.5*Ac0 = 3839.3KN


fckc = 70.34 Mpa

fckc = fck (1.125 + 2.5s2 / fck)

σ2 = 7.88 Mpa

Radial force generated = 118264.4 N

Use 16 dia spiral with 250mm inner dia and 60mm spacing.

Resistance of radial force = 145186.8 N Hence OK

BURSTING REINFORCEMENT

257 340

2Y0 =340
2YP0 =257
YP0/Y0=257/340= 0.76
From Table 13.1 of IRC-112 , Fbst/Pk = 0.120
Pk = ultimate cable force = 273.29 t
Fbst =0.120*273.29049 32.79 t
Allowable stress = 0.87*41500 = 36105 t/m^2
Ast required = 32.79/36105*10000 9.08 cm2

provide 5 nos 2 legged 12 φ


Area of Steel provided 11.31 cm2 Hence OK
CHECK FOR DEFLECTION :

Effective span (L) = 31 m


Impact factor = 1.122
Maximum permissible deflection under Live Load = L/1000
(As per 12.4.1 of IRC:112-2011) = 31 mm

Actual deflection from STAAD :

FPLL Deflection = 1.721 mm


C/way LL Deflection = 6.568 mm
C/way LL Deflection including impact = 7.367 mm

Total live load deflection = 9.088 mm OK


CALCULATION FOR LIFTING HOOKS:

For 24.000m span wt of each girder = 65 t


Reaction on each side = 32.5 t

Use, 25 mm dia bars as lifting hook


Strength of each hook = 19.6 t
Factor of safety = 1.5
Safe load that can be carried by a hook = 13.09 t
Provide, 3.0 nos. 25 mm dia bars as lifting hook at each end

Alternatively, 12.7 mm dia strands as lifting hook


Strength of each hook = 18.4 t
Factor of safety = 1.5
Safe load that can be carried by a hook = 12.25 t
Provide, 4.0 nos. 12.7 mm dia strands as lifting hook at each end
LOAD CALCULATION FOR POT/PTFE BEARINGS
Total Dead Load of one span = 486.3 t
Total SIDL of one span = 130.3 t
Total no. of Bearing = 10
No. of Fixed Bearing in Long. Direction = 1
No. of Fixed Bearing in Trans. Direction = 2
Horizontal Seismic Coefficient = 0.36
Vertical Seismic Coefficient = 0.24
Impact Factor = 1.158

VERTICAL REACTIONS : NORMAL CASE

Dead Load + SIDL :


(Ref : STAAD Output)
LOAD CASE R1 R2 R3 R4 R5
Dead Load 35.29 86.29 86.29 35.29 0.00
SIDL 27.61 10.50 9.43 17.62 0.00
DL+SIDL 62.9 96.8 95.7 52.9 0.0

MAXIMUM LIVE LOAD :

LOAD CASE R1 R2 R3 R4 R5
Footpath Live Load 7.69 0.52 0.00 0.07 0.00
(Ref : STAAD Output)
LOAD CASE R1 R2 R3 R4 R5
TYPE-1 2.80 72.94 44.79 2.41 0.00
TYPE-2 3.00 57.99 56.30 0.94 0.00
TYPE-3 0.14 39.59 78.20 11.99 0.00
TYPE-4 0.27 36.86 64.20 21.79 0.00
TYPE-5 0.02 45.38 58.28 19.54 0.00
TYPE-6 0.00 0.00 0.00 0.00 0.00
TYPE-7 0.00 0.00 0.00 0.00 0.00
TYPE-8 0.00 0.00 0.00 0.00 0.00
TYPE-9 0.00 0.00 0.00 0.00 0.00
TYPE-10 0.00 0.00 0.00 0.00 0.00
Maximum Live Load 3.47 84.46 90.54 25.24 0.00

DL+SIDL+LL+FPLL 74.1 181.8 186.3 78.2 0.0

MINIMUM LIVE LOAD :

LOAD CASE R1 R2 R3 R4 R5
Footpath Live Load 0.00 0.00 -0.49 0.00 0.00

LOAD CASE R1 R2 R3 R4 R5
TYPE-1 -2.36 -0.17 -0.16 -0.13 0.00
TYPE-2 -0.04 -0.31 -0.30 -1.04 0.00
TYPE-3 -11.17 -0.49 -0.20 -0.83 0.00
TYPE-4 -4.32 -0.13 -0.17 -0.53 0.00
TYPE-5 -6.95 -0.25 -0.33 -0.13 0.00
TYPE-6 0.00 0.00 0.00 0.00 0.00
TYPE-7 0.00 0.00 0.00 0.00 0.00
TYPE-8 0.00 0.00 0.00 0.00 0.00
TYPE-9 0.00 0.00 0.00 0.00 0.00
TYPE-10 0.00 0.00 0.00 0.00 0.00
Minimum Live Load -12.94 -0.56 -0.38 -1.21 0.00

DL+SIDL+LL+FPLL 50.0 96.2 94.8 51.7 0.0

DL+SIDL 62.90 96.79 95.72 52.91 0.00


DL+SIDL+LL+FPLL (Maximum) 74.06 181.76 186.26 78.22 0.00
DL+SIDL+LL+FPLL (Minimum) 50.0 96.2 94.8 51.7 0.0

SUMMARY OF VERTICAL REACTION :

Total Max. (Normal Case) 186.26 say 200 t


Total Min. (Normal Case) 50.0 say 50 t
VERTICAL REACTIONS : SEISMIC CASE

Dead Load + SIDL :


(Ref : STAAD Output)
LOAD CASE R1 R2 R3 R4 R5
Dead Load 35.29 86.29 86.29 35.29 0.00
SIDL (Crash Barrier+W/C+Median+Railing) 27.61 10.50 9.43 17.62 0.00
DL+SIDL 62.9 96.8 95.7 52.9 0.0

MAXIMUM LIVE LOAD :

LOAD CASE R1 R2 R3 R4 R5
Footpath Live Load 1.54 0.10 0.00 0.01 0.00
(Ref : STAAD Output)
LOAD CASE R1 R2 R3 R4 R5
TYPE-1 0.56 14.59 8.96 0.48 0.00
TYPE-2 0.60 11.60 11.26 0.19 0.00
TYPE-3 0.03 7.92 15.64 2.40 0.00
TYPE-4 0.05 7.37 12.84 4.36 0.00
TYPE-5 0.00 9.08 11.66 3.91 0.00
TYPE-6 0.00 0.00 0.00 0.00 0.00
TYPE-7 0.00 0.00 0.00 0.00 0.00
TYPE-8 0.00 0.00 0.00 0.00 0.00
TYPE-9 0.00 0.00 0.00 0.00 0.00
TYPE-10 0.00 0.00 0.00 0.00 0.00
Maximum Live Load 0.69 16.89 18.11 5.05 0.00

DL+SIDL+LL+FPLL 65.1 113.8 113.8 58.0 0.0

MINIMUM LIVE LOAD :

LOAD CASE R1 R2 R3 R4 R5
Footpath Live Load 0.00 0.00 -0.10 0.00 0.00

LOAD CASE R1 R2 R3 R4 R5
TYPE-1 -0.47 -0.03 -0.03 -0.03 0.00
TYPE-2 -0.01 -0.06 -0.06 -0.21 0.00
TYPE-3 -2.23 -0.10 -0.04 -0.17 0.00
TYPE-4 -0.86 -0.03 -0.03 -0.11 0.00
TYPE-5 -1.39 -0.05 -0.07 -0.03 0.00
TYPE-6 0.00 0.00 0.00 0.00 0.00
TYPE-7 0.00 0.00 0.00 0.00 0.00
TYPE-8 0.00 0.00 0.00 0.00 0.00
TYPE-9 0.00 0.00 0.00 0.00 0.00
TYPE-10 0.00 0.00 0.00 0.00 0.00
Minimum Live Load -2.59 -0.11 -0.08 -0.24 0.00

DL+SIDL+LL+FPLL 60.3 96.7 95.5 52.7 0.0

DL+SIDL 62.90 96.79 95.72 52.91 0.00


DL+SIDL+LL+FPLL (Maximum) 65.13 113.78 113.82 57.97 0.00
DL+SIDL+LL+FPLL (Minimum) 60.31 96.67 95.54 52.67 0.00

SUMMARY OF VERTICAL REACTION :

Vertical Seismic Force = (0.24*186.26) = 44.70 t

Total Max. (Normal Case) 158.53 say 170 t


Total Min. (Normal Case) 7.96 say 7t
TRANSVERSE FORCES : NORMAL CASE

FRICTIONAL FORCE

Minimum horizontal force = μ.R = (0.05*186.26) = 9.31t

(Free Bearing)
Maximum horizontal Force = 9.31t say 20 t
(Fixed Bearing)
Maximum horizontal Force = 9.31t say 20 t
(Fixed Bearing in Transverse Direction)
Maximum horizontal Force = 9.31t say 20 t
(Fixed Bearing in Longitudinal Direction)
Maximum horizontal Force = 9.31t say 20 t

TRANSVERSE FORCES : LONGITUDINAL SEISMIC CASE

Minimum horizontal force = μ.R = (0.05*158.53) = 7.93t

(Free Bearing)
Maximum horizontal Force = 7.93t say 20 t
(Fixed Bearing)
Maximum horizontal Force = 7.93t say 20 t
(Fixed Bearing in Transverse Direction)
Maximum horizontal Force = 7.93t say 20 t
(Fixed Bearing in Longitudinal Direction)
Maximum horizontal Force = 7.93t say 20 t

TRANSVERSE FORCES : TRANSVERSE SEISMIC CASE

(Free Bearing)
Maximum horizontal Force = (0.05*158.53) = 7.93t say 20 t
(Fixed Bearing)
Maximum horizontal Force = 0.36*(486+130.32+40)/2 = 118.2t say 135 t
(Fixed Bearing in Transverse Direction)
Maximum horizontal Force = = 118.2t say 135 t
(Fixed Bearing in Longitudinal Direction)
Maximum horizontal Force = (0.05*158.53) = 7.93t say 20 t
LONGITUDINAL FORCES : NORMAL CASE

FRICTIONAL FORCE

Minimum horizontal force = μ.R = (0.05*186.26) = 9.31t

BRAKING FORCE

LOAD CASE HL1


Class70R (1 Lane) + ClassA (1lane) 22.77
ClassA (3Lane) 13.85
Maximum Braking Force 22.77

DL+SIDL Reaction at Free End = 308.31 t


Maximum Live Load Reaction at Free end = 180.00 t

Horizontal Reaction At Fixed end = 22.77/2+0.05*(308.31+180)

= 35.80 t

(Free Bearing)
Maximum horizontal Force = 9.31t say 20 t
(Fixed Bearing)
Maximum horizontal Force = 35.80t say 45 t
(Fixed Bearing in Transverse Direction)
Maximum horizontal Force = 9.31t say 20 t
(Fixed Bearing in Longitudinal Direction)
Maximum horizontal Force = 35.80t say 45 t

LONGITUDINAL FORCES : SEISMIC CASE

Minimum horizontal force = μ.R = (0.05*158.53) = 7.93t

BRAKING+FRICTIONAL+SEISMIC FORCE

LOAD CASE HL1


Class70R (2 Lane) 233.37 =0.5*22.77+0.36*(486.3+130.32)
ClassA (4 Lane) 224.75 =0.5*13.85+0.36*(486.3+130.32)

(Free Bearing)
Maximum horizontal Force = 7.9t say 20 t
(Fixed Bearing)
Maximum horizontal Force = 233.4t say 250 t
(Fixed Bearing in Transverse Direction)
Maximum horizontal Force = 7.9t say 20 t
(Fixed Bearing in Longitudinal Direction)
Maximum horizontal Force = 233.4t say 250 t
LONGITUDINAL MOVEMENT FOR FREE BEARING :

L = 24.000 m
-5 o
α = 1.20 *10 / C
γ = 0.0002
o
T = +/- 35 C

ucs = γ∗L = +/- 4.8 mm


ut = α*T*L = +/- 10.1 mm
------------------------
+ 14.9 mm
- 10.1 mm
------------------------
" + " represents movement towards fixed bearing
" - " represents movement away from fixed bearing

For Bearing design longitudinal movement shall be 1.3 times of calculated value as per BS:5400.

Logitudinal Movement + 14.9*1.3 mm = 19.3 mm say 25 mm


- 10.1*1.3 mm = 13.1 mm say 15 mm
------------------------
DESIGN VERTICAL & HORIZONTAL FORCES ON POT/PTFE BEARINGS

BEARINGS
Max. Vertical Min. Vertical Transverse Longitudinal
Horizontal Load/brg (t)
Reaction (t) Reaction (t) Movement Movement Rotation
Type of Shown
(mm) (mm) q Remarks
bearing Transverse Longitudinal thus
(Radian)
Normal Seismic Normal Seismic
Normal Seismic Normal Seismic + - + -
Fixed in both
Type 1 0 0 0 0 20 135 45 250 - - - - 0.01
directions
Allowing movement in
Type 2 0 0 0 0 20 135 20 20 - - 25 15 0.01
L-L axis only
Allowing movement in
Type3 200 170 50 7 20 20 20 10 10 25 15 0.01
all directions

Note:- " + " represents movement towards fixed bearing


" - " represents movement away from fixed bearing
ARRANGEMENT OF BEARINGS FOR PSC T BEAM SUPERSTRUCTURE
(SIMPLY SUPPORTED)

The figure below shows the arrangement of the Three types of bearings being used :-

Type 3 Type 3

T-T AXIS
Type 3
Type 3

Type 1 Type2
L -L AXIS

Type3
Type 3

Type 3
Type 3

Types of bearings used:

Bearing type Shown thus Description

Type 1 Pot Pin bearing

Pot PTFE mono sliding


Type 2 bearing (allowing
movement in L-L axis only)

Pot PTFE sliding


bearing (allowing
Type 3
movement in all
directions)

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