Thrust Block Triangular
Thrust Block Triangular
Thrust Block Triangular
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
0.60
Depth of concrete
h2
3.70
Width of concrete
Minimum length of the block
=
=
B
L1
=
=
4.80
2.70
m
m
L2
12.50
0.000
kN/m
10.00
kN/m
18.0
kN/m3
sw
8.0
kN/m3
24.0
kNm3
=
=
=
=
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
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
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
DATE
5/17/2006
SHEET
2/2
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
0.60
Depth of concrete
h2
3.20
Width of concrete
Minimum length of the block
=
=
B
L1
=
=
4.10
2.10
m
m
L2
8.50
0.000
kN/m
10.00
kN/m
18.0
kN/m3
sw
8.0
kN/m3
24.0
kNm3
=
=
=
=
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
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
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
DATE
5/17/2006
SHEET
2/2
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
0.60
Depth of concrete
h2
2.70
Width of concrete
Minimum length of the block
=
=
B
L1
=
=
3.40
1.50
m
m
L2
6.00
0.000
kN/m
10.00
kN/m
18.0
kN/m3
sw
8.0
kN/m3
24.0
kNm3
=
=
=
=
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
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
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
DATE
5/17/2006
SHEET
2/2
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
0.60
Depth of concrete
h2
2.10
Width of concrete
Minimum length of the block
=
=
B
L1
=
=
2.80
1.00
m
m
L2
4.50
0.000
kN/m
10.00
kN/m
18.0
kN/m3
sw
8.0
kN/m3
24.0
kNm3
=
=
=
=
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
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
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
DATE
5/17/2006
SHEET
2/2
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
0.60
Depth of concrete
h2
3.40
Width of concrete
Minimum length of the block
=
=
B
L1
=
=
4.50
2.00
m
m
L2
10.00
0.000
kN/m
10.00
kN/m
18.0
kN/m3
sw
8.0
kN/m3
24.0
kNm3
=
=
=
=
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
CALCULATION SHEET
TITLE
N 4028
JOB No.
ORIG.
CHECK
APPD.
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
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
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
CLIENT
ADWEA
DOCUMENT No.
PEC/4028/00202006
DATE
5/17/2006
SHEET
2/2