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Thrust Block Triangular

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CALCULATION SHEET

TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

1600 mm Dia. Pipe

KPR

DATE

5/17/2006

SHEET

1/2

DESIGN DATA
Nominal pipe diameter
Maximum internal pressure

=
=

=
=

1.60
1,600.0

m
kN/m2

D
p
h1

Depth of earth cover

0.60

Depth of concrete

h2

3.70

Width of concrete
Minimum length of the block

=
=

B
L1

=
=

4.80
2.70

m
m

Maximum length of the block

L2

12.50

Unit weight of the pipe

0.000

kN/m

Unit weight of the water

10.00

kN/m

Unit weight of filled soil

18.0

kN/m3

Unit weight of submerged soil

sw

8.0

kN/m3

Unit weight of concrete

24.0

kNm3

Allowable bearing capacity


Coefficient of soil friction
Degree of bent
Angle of internal friction of the soil

=
=
=
=

SBC

=
=
=
=

100.0
0.38
90.0
30.0

kN/m2
o
o

CALCULATION
y=

L1

1.8842 m

L2

CG

B
PLAN
Centre line of pipe above thrust block

1.9 m

h1
Ws
P

Wb

w1

h2

P1
w2

Fr

P2

Toe

ELEVATION
PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

800 mm Dia. Pipe - 90o bend

KPR

CALCULATION (Cont)
Case -1 - (Dry Condition)
Thrust force at Bent, P
Weight of Soil above block , Ws
Weight of Concrete block , Wb
Passive Soil Resistance:
Passive Earth Coefficient

Kp

=
=
=
=
=
=

2*pD2*sin(/2)
4549.51
KN
(1/2 )* (L1+L2)*B*h1*s
393.984
KN
(1/2 )* (L1+L2)*B*h2*c
3239.424
KN
(1 +sin ) / (1 - sin )
3.00
32.4
KN/M2

w1

= s h1 kp

=
=
=

w2

= s h2 kp

199.8

KN/M2

Pp1

= w1L2h2

1498.5

KN

Pp2

1/2 w2L2h2

4620.375

KN

Kp

w1

= s h1 ka

=
=

0.33
3.6

w2

= s h2 ka

22.2

Pa1

= w1L2h2

166.5

Pa2

513.375

Active Earth Coefficient

1/2 w2L2h2

Frictional Resitance, Fr

=
=

(1 -sin ) / (1 + sin )

(Ws + Wb) *
1380.69504 KN

Stability Check
a)
Overturning ( Summation of moments about the toe)
(Ws +Wb)*y + Pp1(h2/2) + Pp2*(h2/3)
Righting Moment, RM
=

b)

c)

Overturning Moment, OM

15316.79
kNm
P*(h)+ Pa1(h2/2) + Pa2*(h2/3)
9357.78 kNm

Safety Factor,

RM/OM

1.64

(Fr + P1+P2)/P

Sliding
Sliding Factor,

SF1

SF2

>

1.5

=
1.434
>
1.4
Check for Bearing Pressure (Active and passive pressure ignored conservatively)
Righting Moment, RM
=
(Ws +Wb)*y
=
6846.11
KN m
Overturning Moment, OM
P*(h)

8416.60
KN m

CG of resultant
=
RM - OM
=
-0.432
(Ws + Wb)
CG lies in Middle Third
M/Z =
=

-1570.492 /

21

-75.89 kN/m2

SAFE

SAFE

SAFE

Actual Bearing Pressure =

W/A

M/Z

qL

99.6

75.9

175.5

KN/M2

Ok

qR

99.6

75.9

23.7

KN/M2

Ok

PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

DATE

5/17/2006

SHEET

2/2

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

1600 mm Dia. Pipe

KPR

DATE

5/17/2006

SHEET

1/2

DESIGN DATA
Nominal pipe diameter
Maximum internal pressure

=
=

=
=

1.60
1,600.0

m
kN/m2

D
p
h1

Depth of earth cover

0.60

Depth of concrete

h2

3.20

Width of concrete
Minimum length of the block

=
=

B
L1

=
=

4.10
2.10

m
m

Maximum length of the block

L2

8.50

Unit weight of the pipe

0.000

kN/m

Unit weight of the water

10.00

kN/m

Unit weight of filled soil

18.0

kN/m3

Unit weight of submerged soil

sw

8.0

kN/m3

Unit weight of concrete

24.0

kNm3

Allowable bearing capacity


Coefficient of soil friction
Degree of bent
Angle of internal friction of the soil

=
=
=
=

SBC

=
=
=
=

100.0
0.38
45.0
30.0

kN/m2
o
o

CALCULATION
y=

L1

1.6374 m

L2

CG

B
PLAN
Centre line of pipe above thrust block

1.6 m

h1
Ws
P

Wb

Fr

w1

h2
Toe

P1
w2

P2

ELEVATION
PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

800 mm Dia. Pipe - 90o bend

KPR

CALCULATION (Cont)
Case -1 - (Dry Condition)
Thrust force at Bent, P
Weight of Soil above block , Ws
Weight of Concrete block , Wb
Passive Soil Resistance:
Passive Earth Coefficient

Kp

=
=
=
=
=
=

2*pD2*sin(/2)
2462.18
KN
(1/2 )* (L1+L2)*B*h1*s
234.684
KN
(1/2 )* (L1+L2)*B*h2*c
1668.864
KN
(1 +sin ) / (1 - sin )
3.00
32.4
KN/M2

w1

= s h1 kp

=
=
=

w2

= s h2 kp

172.8

KN/M2

Pp1

= w1L2h2

881.28

KN

Pp2

1/2 w2L2h2

2350.08

KN

Kp

w1

= s h1 ka

=
=

0.33
3.6

w2

= s h2 ka

19.2

Pa1

= w1L2h2

97.92

Pa2

261.12

Active Earth Coefficient

1/2 w2L2h2

Frictional Resitance, Fr

=
=

(1 -sin ) / (1 + sin )

(Ws + Wb) *
723.34824 KN

Stability Check
a)
Overturning ( Summation of moments about the toe)
(Ws +Wb)*y + Pp1(h2/2) + Pp2*(h2/3)
Righting Moment, RM
=

b)

c)

Overturning Moment, OM

7033.71
kNm
P*(h)+ Pa1(h2/2) + Pa2*(h2/3)
4374.69 kNm

Safety Factor,

RM/OM

1.61

(Fr + P1+P2)/P

Sliding
Sliding Factor,

SF1

SF2

>

1.5

=
1.402
>
1.4
Check for Bearing Pressure (Active and passive pressure ignored conservatively)
Righting Moment, RM
=
(Ws +Wb)*y
=
3116.91
KN m
Overturning Moment, OM
P*(h)

3939.49
KN m

CG of resultant
=
RM - OM
=
-0.432
(Ws + Wb)
CG lies in Middle Third
M/Z =
=

-822.575 /

11

-75.75 kN/m2

SAFE

SAFE

SAFE

Actual Bearing Pressure =

W/A

M/Z

qL

87.6

75.8

163.4

KN/M2

Ok

qR

87.6

75.8

11.8

KN/M2

Ok

PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

DATE

5/17/2006

SHEET

2/2

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

1600 mm Dia. Pipe

KPR

DATE

5/17/2006

SHEET

1/2

DESIGN DATA
Nominal pipe diameter
Maximum internal pressure

=
=

=
=

1.60
1,600.0

m
kN/m2

D
p
h1

Depth of earth cover

0.60

Depth of concrete

h2

2.70

Width of concrete
Minimum length of the block

=
=

B
L1

=
=

3.40
1.50

m
m

Maximum length of the block

L2

6.00

Unit weight of the pipe

0.000

kN/m

Unit weight of the water

10.00

kN/m

Unit weight of filled soil

18.0

kN/m3

Unit weight of submerged soil

sw

8.0

kN/m3

Unit weight of concrete

24.0

kNm3

Allowable bearing capacity


Coefficient of soil friction
Degree of bent
Angle of internal friction of the soil

=
=
=
=

SBC

=
=
=
=

100.0
0.38
22.5
30.0

kN/m2
o
o

CALCULATION
y=

L1

1.36 m

L2

CG

B
PLAN
Centre line of pipe above thrust block

1.4 m

h1
Ws
P

Wb

Fr

w1

h2
Toe

P1
w2

P2

ELEVATION
PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

800 mm Dia. Pipe - 90o bend

KPR

CALCULATION (Cont)
Case -1 - (Dry Condition)
Thrust force at Bent, P
Weight of Soil above block , Ws
Weight of Concrete block , Wb
Passive Soil Resistance:
Passive Earth Coefficient

Kp

=
=
=
=
=
=

2*pD2*sin(/2)
1255.21
KN
(1/2 )* (L1+L2)*B*h1*s
137.7
KN
(1/2 )* (L1+L2)*B*h2*c
826.2
KN
(1 +sin ) / (1 - sin )
3.00
32.4
KN/M2

w1

= s h1 kp

=
=
=

w2

= s h2 kp

145.8

KN/M2

Pp1

= w1L2h2

524.88

KN

Pp2

1/2 w2L2h2

1180.98

KN

Kp

w1

= s h1 ka

=
=

0.33
3.6

w2

= s h2 ka

16.2

Pa1

= w1L2h2

58.32

Pa2

131.22

Active Earth Coefficient

1/2 w2L2h2

Frictional Resitance, Fr

=
=

(1 -sin ) / (1 + sin )

(Ws + Wb) *
366.282
KN

Stability Check
a)
Overturning ( Summation of moments about the toe)
(Ws +Wb)*y + Pp1(h2/2) + Pp2*(h2/3)
Righting Moment, RM
=

b)

c)

Overturning Moment, OM

3082.37
kNm
P*(h)+ Pa1(h2/2) + Pa2*(h2/3)
1891.36 kNm

Safety Factor,

RM/OM

1.63

(Fr + P1+P2)/P

Sliding
Sliding Factor,

SF1

SF2

>

1.5

=
1.434
>
1.4
Check for Bearing Pressure (Active and passive pressure ignored conservatively)
Righting Moment, RM
=
(Ws +Wb)*y
=
1310.90
KN m
Overturning Moment, OM
P*(h)

1694.53
KN m

CG of resultant
=
RM - OM
=
-0.398
(Ws + Wb)
CG lies in Middle Third
M/Z =
=

-383.626 /

5.3

-72.41 kN/m2

SAFE

SAFE

SAFE

Actual Bearing Pressure =

W/A

M/Z

qL

75.6

72.4

148.0

KN/M2

Ok

qR

75.6

72.4

3.2

KN/M2

Ok

PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

DATE

5/17/2006

SHEET

2/2

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

1600 mm Dia. Pipe

KPR

DATE

5/17/2006

SHEET

1/2

DESIGN DATA
Nominal pipe diameter
Maximum internal pressure

=
=

=
=

1.60
1,600.0

m
kN/m2

D
p
h1

Depth of earth cover

0.60

Depth of concrete

h2

2.10

Width of concrete
Minimum length of the block

=
=

B
L1

=
=

2.80
1.00

m
m

Maximum length of the block

L2

4.50

Unit weight of the pipe

0.000

kN/m

Unit weight of the water

10.00

kN/m

Unit weight of filled soil

18.0

kN/m3

Unit weight of submerged soil

sw

8.0

kN/m3

Unit weight of concrete

24.0

kNm3

Allowable bearing capacity


Coefficient of soil friction
Degree of bent
Angle of internal friction of the soil

=
=
=
=

SBC

=
=
=
=

100.0
0.38
11.25
30.0

kN/m2
o
o

CALCULATION
y=

L1

1.103 m

L2

CG

B
PLAN
Centre line of pipe above thrust block

1.1 m

h1
Ws
P

Wb

Fr

w1

h2
Toe

P1
w2

P2

ELEVATION
PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

800 mm Dia. Pipe - 90o bend

KPR

CALCULATION (Cont)
Case -1 - (Dry Condition)
Thrust force at Bent, P
Weight of Soil above block , Ws
Weight of Concrete block , Wb
Passive Soil Resistance:
Passive Earth Coefficient

Kp

=
=
=
=
=
=

2*pD2*sin(/2)
630.64
KN
(1/2 )* (L1+L2)*B*h1*s
83.16
KN
(1/2 )* (L1+L2)*B*h2*c
388.08
KN
(1 +sin ) / (1 - sin )
3.00
32.4
KN/M2

w1

= s h1 kp

=
=
=

w2

= s h2 kp

113.4

Pp1

= w1L2h2

306.18

KN

Pp2

1/2 w2L2h2

535.815

KN

Kp

w1

= s h1 ka

=
=

0.33
3.6

w2

= s h2 ka

12.6

Pa1

= w1L2h2

34.02

Pa2

59.535

Active Earth Coefficient

1/2 w2L2h2

Frictional Resitance, Fr

=
=

KN/M2

(1 -sin ) / (1 + sin )

(Ws + Wb) *
179.0712
KN

Stability Check
a)
Overturning ( Summation of moments about the toe)
(Ws +Wb)*y + Pp1(h2/2) + Pp2*(h2/3)
Righting Moment, RM
=

b)

c)

Overturning Moment, OM

1216.35
kNm
P*(h)+ Pa1(h2/2) + Pa2*(h2/3)
739.57 kNm

Safety Factor,

RM/OM

1.64

(Fr + P1+P2)/P

Sliding
Sliding Factor,

SF1

SF2

>

1.5

=
1.410
>
1.4
Check for Bearing Pressure (Active and passive pressure ignored conservatively)
Righting Moment, RM
=
(Ws +Wb)*y
=
519.79
KN m
Overturning Moment, OM
P*(h)

662.17
KN m

CG of resultant
=
RM - OM
=
-0.302
(Ws + Wb)
CG lies in Middle Third
M/Z =
=

-142.381 /

2.56

-55.52 kN/m2

SAFE

SAFE

SAFE

Actual Bearing Pressure =

W/A

M/Z

qL

61.2

55.5

116.7

KN/M2

Ok

qR

61.2

55.5

5.7

KN/M2

Ok

PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

DATE

5/17/2006

SHEET

2/2

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

1600 mm Dia. Pipe - TEE

KPR

DATE

5/17/2006

SHEET

1/2

DESIGN DATA
Nominal pipe diameter
Maximum internal pressure

=
=

=
=

1.60
1,600.0

m
kN/m2

D
p
h1

Depth of earth cover

0.60

Depth of concrete

h2

3.40

Width of concrete
Minimum length of the block

=
=

B
L1

=
=

4.50
2.00

m
m

Maximum length of the block

L2

10.00

Unit weight of the pipe

0.000

kN/m

Unit weight of the water

10.00

kN/m

Unit weight of filled soil

18.0

kN/m3

Unit weight of submerged soil

sw

8.0

kN/m3

Unit weight of concrete

24.0

kNm3

Allowable bearing capacity


Coefficient of soil friction
Degree of bent
Angle of internal friction of the soil

=
=
=
=

SBC

=
=
=
=

100.0
0.38

kN/m2

30.0

CALCULATION
y=

L1

1.75 m

L2

CG

B
PLAN
Centre line of pipe above thrust block

1.7 m

h1
Ws
P

Wb

Fr

w1

h2
Toe

P1
w2

P2

ELEVATION
PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

CALCULATION SHEET
TITLE

N 4028

JOB No.

DESIGN CALCULATION FOR THE THRUST BLOCK

ORIG.

CHECK

APPD.

800 mm Dia. Pipe - 90o bend

KPR

CALCULATION (Cont)
Case -1 - (Dry Condition)
Thrust force at Bent, P
Weight of Soil above block , Ws
Weight of Concrete block , Wb
Passive Soil Resistance:
Passive Earth Coefficient

Kp

=
=
=
=
=
=

pD2
3216.99
KN
(1/2 )* (L1+L2)*B*h1*s
291.6
KN
(1/2 )* (L1+L2)*B*h2*c
2203.2
KN
(1 +sin ) / (1 - sin )
3.00
32.4
KN/M2

w1

= s h1 kp

=
=
=

w2

= s h2 kp

183.6

KN/M2

Pp1

= w1L2h2

1101.6

KN

Pp2

1/2 w2L2h2

3121.2

KN

Ka

w1

= s h1 ka

=
=

0.33
3.6

w2

= s h2 ka

20.4

Pa1

= w1L2h2

122.4

Pa2

346.8

Active Earth Coefficient

1/2 w2L2h2

Frictional Resitance, Fr

=
=

(1 -sin ) / (1 + sin )

(Ws + Wb) *
948.024
KN

Stability Check
a)
Overturning ( Summation of moments about the toe)
(Ws +Wb)*y + Pp1(h2/2) + Pp2*(h2/3)
Righting Moment, RM
=

b)

c)

Overturning Moment, OM

9775.98
kNm
P*(h)+ Pa1(h2/2) + Pa2*(h2/3)
6070.00 kNm

Safety Factor,

RM/OM

1.61

(Fr + P1+P2)/P

Sliding
Sliding Factor,

SF1

SF2

>

1.5

=
1.403
>
1.4
Check for Bearing Pressure (Active and passive pressure ignored conservatively)
Righting Moment, RM
=
(Ws +Wb)*y
=
4365.90
KN m
Overturning Moment, OM
P*(h)

5468.88
KN m

CG of resultant
=
RM - OM
=
-0.442
(Ws + Wb)
CG lies in Middle Third
M/Z =
=

-1102.984 /

14

-78.15 kN/m2

SAFE

SAFE

SAFE

Actual Bearing Pressure =

W/A

M/Z

qL

92.4

78.2

170.6

KN/M2

Ok

qR

92.4

78.2

14.2

KN/M2

Ok

PROJECT

WATER PIPELINE FROM FWPS TO JAZIRAT

CLIENT

ADWEA

DOCUMENT No.

PEC/4028/00202006

DATE

5/17/2006

SHEET

2/2

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