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SIZING CALCULATIONS OF THRUST BLOCKS Project Name: Calc. By:
Date:
Chck'd By:
Date:
Project Number: Sheet No.
KEO International Consultants
1.0 Design Data Allowable soil bearing capacity Coefficient of soil friction Friction Factor Soil/Concrete
φ= μ=
182 30 0.364
Active earth pressure coefficient
Ka =
0.33
Passive earth pressure coefficient
Kp =
3
Soil Bulk Density
γ=
18
kN/m
Submerged Soil Density Concrete Density
γ' = γc =
8 24
kN/m kN/m3
Submerged Concrete Density Density of water C.L. of pipe from Ground Diameter of the pipe
γc' = γw' =
kN/m3 kN/m3
= D=
14 10 0.7 0.62
Test presuure Angle of bend Ground Water Table Level below Ground Depth of unblanned excavation Unbalanced Thrust Force at Bent
p= θ= = = T=
390 45 1 0.5 90.12
kN/m2 ° m m kN
2.0 Factor of Safety Factor of Safety Against Sliding Factor of Safety Against Overturning Factor of Safety Against Soil Bearing Capacity
= = =
Kpa °
3 3
FX
m m
4 2 1
3.0 Design Assumptions 1. The design is based on the assumed Geotechnical data furnished as above. 2. Weight of top 0.5m of soil (on passive only) is neglected to account for future accidental, unplanned excavation. 3. It is assumed that during Hydro test, soil behind thrust block is fully compacted so as to obtain a soil desity at least equal to 95 percent of Modified Proctor test (ASTM D 1557).
Mz
Revision
4.0 Sectional Properties For Anchor Block
E
620mm
A
B
2.17
0.64
A
1
2
B
Pipe Dia
C
Dimensional Details C D E 1.03
2
2.88
H
h
a1
1.4
0.7
2.24
Area a2
abase
Iy
Section Modulus ymax Zx=Ix/ymax
2.60
4.83
2.80
1.68
1.67
5.0 Stability Checks - For Sliding Weight Claculations Pipe Dia 620mm
Concrete Volume Weight 6.11 118.69
Soil Above T.Block Volume Weight 0.00 0.00
Lateral Force along-x Fx Active Total Pipe Thrust Act. Soil Pre. (kN) 90.12 12.18 102.30
Earth Pressure Calculations Total Weight 118.69
*Active Pressure kN/m2
P1 0.00
P2 6.00
P3 7.07
*Passive Pressure kN/m2
P4 0.00
P5 54.00
P6 63.60
Resisting Force along-x Passive Resistance
From Selfwt.
Total
109.63
43.20
152.83
Factor of Saftey
Result > 4
1.56
Unsafe
6.0 Stability Checks - For Overturning Overturning Moment
Note: 1. Net moment is calculated as below a. If total induced moment is greater than moment due to passive force (passive force= total sliding force - frictional resistance of concrete) Net moment = Mz - Mzp Where Mz = Destabilising moment Mzp = Restoring moment from passive force calculated as above. b. If total induced moment is less than the moment due to passive soil, effect of moment is ignored in bearing pressure calculations. 8.0 Stability Checks - For Uplift
Pipe Dia
Dry Concrete wt.
Dry Soil weight
Total Dry Weight
Displaced water wt
Factor of Safety
620mm
146.61
0
146.61
4
36.65305557
9.0 Reinforcement Design Reinforcement is required only for shrinkage purpose. As per BS-8007: Appendix-A-Figure A1. Following reinforcement is provided as skin rebars on the surface zone of the concrete in all faces. Minimum Reinforcement As = 0.13% of cross sectional area Surface zone of concrete (For t>500mm) = 325 mm2 (For thicknesses more than 500mm only 250thk shall be considered as effective) Provided reinforcement (on all faces): Area of steel provided
Submerged Concrete Density Density of water Diameter of the pipe Test presuure Angle of bend Ground Water Table Level below Ground Unbalanced Thrust Force at Bent
γc' = γw' = D= p= θ= = Rx = RZ =
kN/m
3
10 kN/m 0.1 m
3
kN/m ° m kN
2
14
1200 15 1 0.32
0.00
3
Rz Rx
-1 0.25 0.75
1.0 Design Data Allowable soil bearing capacity
Rx 0.25
0.933
2.44 kN 1.435
2.0 Factor of Safety Factor of Safety Against Overturning Factor of Safety Against Soil Bearing Capacity
= =
2 1
3.0 Design Assumptions 1. The design is based on the assumed Geotechnical data furnished as above. 2. Weight of top 0.5m of soil (on passive only) is neglected to account for future accidental, unplanned excavation. 3. It is assumed that during Hydro test, soil behind thrust block is fully compacted so as to obtain a soil desity at least equal to 95 percent of Modified Proctor test (ASTM D 1557).
-1.25 Rz
0.25
3.0 Approximate Size of Thrust Block Length of the Thrust Block Width of the Thrust Block Height of the Thrust Block
L= B= H=
1435 mm 450 mm 750 mm
4.0 Moment (Couple) in Thrust Block The forces in the upward bend and downward bend will cause a couple in the thrust blocks, which will be resisted by the weight of block. Mc = Couple Moment in Thrust Block 2.36 kN.m 5.0 Resistance of Thrust Block Weight of the Thrust Block
WTh =
11.62 kN
Resisting Moment
MR =
8.34 kN.m
6.0 Stability Check of Thrust Block for Overturning Factor Of Safety = Mc / MR
F.O.S. =
3.54 > 2
7.0 Stability Check of Thrust Block for Soil Pressure Moment of Inertia of Thrust Block
Iy =
Couple Moment in Thrust Block Distance to extreme fibre = Stress at extreme fibre
