thrust block design (horizontal elbow)
DESCRIPTION
Thrust blocks for horizontal elbows designed for 90, 60, 45, 30 22.5, and 11.25 degrees angle of bend.TRANSCRIPT
THRUST BLOCKS FOR HORIZONTAL ELBOW ( Ø 900 mm, 90 deg )Horizontal Thrust
TABLE 1 DIMENSIONS IN mm FOR CONCRETE BLOCKSFOR 90 DEGREES BENDS - HORIZONTAL THRUST
L A B C D E F
900 1779 3500 3300 5349 4000 1496 400 96.802
Design Parameters
= 900 mm= 90 deg= 0.6362
= 18
= 24
= 10Coefficient of friction (μ) = 0.40
= 0.150 m
= 0.000 m
At Working Pressure
= 6 bars = 600 FGL = + 9.000
= 1.50 IL = + 6.400
= 1.50 GWT = + 4.400
= 1.20
At Hydrotest Pressure
= 9 bars = 900
= 1.13
= 1.13
= 1.20
Soil Bearing Capacity (SBC) = 100 kPa
PIPE DIAMETER
(mm)CONC.
VOL. (m3)
Pipe Diameter (DP)Angle of the bend (q)
Area of Pipe (AP) m2
Unit weight of soil (gS) kN/m3
Unit weight of concrete (gC) kN/m3
Unit weight of water (w) kN/m3
Height of soil above thrust block (h1)
Submerged height of thrust block (h2)
Working Pressure (PW) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Working Pressure (PH) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Figure 1: Plan and Section for horizontal thrust block
Check on Soil Bearing Pressure
Thrust Block Plan Area = 24.767 Volume of soil = 3.715= 2323.260 kN (neglecting buoyancy) Wt of soil = 66.870 kN (on top of thrust block)
ΣV = Wt. of conc + Wt. of soil= 2390.130 kN
Static vertical pressure =ΣV
Plan Area96.507 kPa < SBC, Ok
Thrust Block Stability Check
1. At Working Pressure - 6 bar
== 539.810 kN
a. Check against OverturningTaking moments about O
x =A*(C+2B)
= 2.38 m3(B+C)y = D / 2 = 2.000 m
== 5522.70 kN.m
== 0.000 kN
== 1079.62 kN.m
=
=5522.696
= 5.1154 > 1.5 , Ok1079.621b. Check against Sliding
== 929.304 kN
=
m2 m3
Wt of conc. (WC)
Thrust (TW) 2PWAP sin q/2
Resisting Moment (MR) WC * x
Buoyant Force (BF) w * vol. sub.
Overturning Moment (MOT) TW * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Resisting Force (FR) (Wt. of Conc. - BF) * μ
Safety factor against sliding (FS)FR
TW
F.G.L.
h1
h2
x
y
O
WC
Tw
Figure 3: Diagram of forces on a horizontal thrust
GWT
Figure 2: Height of soil and the submerged height in a horizontal thrust block
BF
=929.304
= 1.7215 > 1.5 , Ok539.810
2. At Hydrotest Pressure - 9 bar
== 809.715 kN
a. Check against Overturning
== 1619.431 kN.m
=
=5522.696
= 3.4103 > 1.13 , Ok1619.431
b. Check against Sliding
=
=929.304
= 1.1477 > 1.13 , Ok809.715
3. Check against Bouyancy
=Wt. of Conc
=2323.260
= N/A > 1.2 , Ok0.000
FS
Thrust (TH) 2PHAP sin q/2
Overturning Moment (MOT) TH * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Safety factor against sliding (FS)FR
TH
FS
Safety factor against bouyancy (FB)BF
FB
THRUST BLOCKS FOR HORIZONTAL ELBOW ( Ø 900 mm, 60 deg )Horizontal Thrust
TABLE 1 DIMENSIONS IN mm FOR CONCRETE BLOCKSFOR 60 DEGREES BENDS - HORIZONTAL THRUST
L A B C D E F
900 1208 5110 442 6342 4000 1650 4250 67.796
steps 1 4 2 3
Design Parameters
= 900 mm= 60 deg= 0.6362
= 18
= 24
= 10Coefficient of friction (μ) = 0.40
= 0.150 m
= 0.000 m
At Working Pressure
= 6 bars = 600 FGL = + 9.000
= 1.50 IL = + 6.400
= 1.50 GWT = + 4.400
= 1.20
At Hydrotest Pressure
= 9 bars = 900
= 1.13
= 1.13
= 1.20
PIPE DIAMETER
(mm)CONC
VOL (m3)
Pipe Diameter (DP)Angle of the bend (q)
Area of Pipe (AP) m2
Unit weight of soil (gS) kN/m3
Unit weight of concrete (gC) kN/m3
Unit weight of water (w) kN/m3
Height of soil above thrust block (h1)
Submerged height of thrust block (h2)
Working Pressure (PW) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Working Pressure (PH) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Figure 1: Plan and Section for horizontal thrust block
Soil Bearing Capacity (SBC) = 100 kPa
Check on Soil Bearing Pressure
Thrust Block Plan Area = 17.333 Volume of soil = 2.600= 1627.101 kN (neglecting buoyancy) Wt of soil = 46.800 kN (on top of thrust block)
ΣV = Wt. of conc + Wt. of soil= 1673.900 kN
Static vertical pressure =ΣV
Plan Area96.572 kPa < SBC, Ok
Thrust Block Stability Check
1. At Working Pressure - 6 bar
== 381.704 kN
a. Check against OverturningTaking moments about O
x =A*(C+2B)
= 1.814 m3(B+C)y = D / 2 = 2.000 m
== 2951.920 kN.m
== 0.000 kN
== 763.407 kN.m
=
=2951.920
= 3.8668 > 1.5 , Ok763.407b. Check against Sliding
== 650.840 kN
m2 m3
Wt of conc. (WC)
Thrust (TW) 2PWAP sin q/2
Resisting Moment (MR) WC * x
Buoyant Force (BF) w * vol. sub.
Overturning Moment (MOT) TW * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Resisting Force (FR) (Wt. of Conc. - BF) * μ
F.G.L.
h1
h2
x
y
O
WC
Tw
Figure 3: Diagram of forces on a horizontal thrust
GWT
Figure 2: Height of soil and the submerged height in a horizontal thrust block
BF
=
=650.840
= 1.7051 > 1.5 , Ok381.704
2. At Hydrotest Pressure - 9 bar
== 572.555 kN
a. Check against Overturning
== 1145.111 kN.m
=
=2951.920
= 2.5778 > 1.13 , Ok1145.111
b. Check against Sliding
=
=650.840
= 1.1367 > 1.13 , Ok572.555
3. Check against Bouyancy
=Wt. of Conc
=1627.101
= N/A > 1.2 , Ok0.000
Safety factor against sliding (FS)FR
TW
FS
Thrust (TH) 2PHAP sin q/2
Overturning Moment (MOT) TH * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Safety factor against sliding (FS)FR
TH
FS
Safety factor against bouyancy (FB)BF
FB
THRUST BLOCKS FOR HORIZONTAL ELBOW ( Ø 900 mm, 45 deg )Horizontal Thrust
TABLE 1 DIMENSIONS IN mm FOR CONCRETE BLOCKSFOR 45 DEGREES BENDS - HORIZONTAL THRUST
L A B C D E F
900 1081 5174 467 4753 4000 2000 3600 52.633
steps 1 4 2 3
Design Parameters
= 900 mm= 45 deg= 0.6362
= 18
= 24
= 10Coefficient of friction (μ) = 0.40
= 0.150 m
= 0.000 m
At Working Pressure
= 6 bars = 600 FGL = + 9.000
= 1.50 IL = + 6.400
= 1.50 GWT = + 4.400
= 1.20
At Hydrotest Pressure
= 9 bars = 900
= 1.13
= 1.13
= 1.20
PIPE DIAMETER
(mm)CONC
VOL (m3)
Pipe Diameter (DP)Angle of the bend (q)
Area of Pipe (AP) m2
Unit weight of soil (gS) kN/m3
Unit weight of concrete (gC) kN/m3
Unit weight of water (w) kN/m3
Height of soil above thrust block (h1)
Submerged height of thrust block (h2)
Working Pressure (PW) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Working Pressure (PH) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Figure 1: Plan and Section for horizontal thrust block
Soil Bearing Capacity (SBC) = 100 kPa
Check on Soil Bearing Pressure
Thrust Block Plan Area = 13.502 Volume of soil = 2.025= 1263.180 kN (neglecting buoyancy) Wt of soil = 36.455 kN (on top of thrust block)
ΣV = Wt. of conc + Wt. of soil= 1299.636 kN
Static vertical pressure =ΣV
Plan Area96.255 kPa < SBC, Ok
Thrust Block Stability Check
1. At Working Pressure - 6 bar
== 292.143 kN
a. Check against OverturningTaking moments about O
x =A*(C+2B)
= 1.879 m3(B+C)y = D / 2 = 2.000 m
== 2373.234 kN.m
== 0.000 kN
== 584.286 kN.m
=
=2373.234
= 4.0618 > 1.5 , Ok584.286b. Check against Sliding
== 505.272 kN
m2 m3
Wt of conc. (WC)
Thrust (TW) 2PWAP sin q/2
Resisting Moment (MR) WC * x
Buoyant Force (BF) w * vol. sub.
Overturning Moment (MOT) TW * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Resisting Force (FR) (Wt. of Conc. - BF) * μ
F.G.L.
h1
h2
x
y
O
WC
Tw
Figure 3: Diagram of forces on a horizontal thrust
GWT
Figure 2: Height of soil and the submerged height in a horizontal thrust block
BF
=
=505.272
= 1.7295 > 1.5 , Ok292.143
2. At Hydrotest Pressure - 9 bar
== 438.215 kN
a. Check against Overturning
== 876.430 kN.m
=
=2373.234
= 2.7078 > 1.13 , Ok876.430
b. Check against Sliding
=
=505.272
= 1.153 > 1.13 , Ok438.215
3. Check against Bouyancy
=Wt. of Conc
=1263.180
= N/A > 1.2 , Ok0.000
Safety factor against sliding (FS)FR
TW
FS
Thrust (TH) 2PHAP sin q/2
Overturning Moment (MOT) TH * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Safety factor against sliding (FS)FR
TH
FS
Safety factor against bouyancy (FB)BF
FB
THRUST BLOCKS FOR HORIZONTAL ELBOW ( Ø 900 mm, 30 deg )Horizontal Thrust
TABLE 1 DIMENSIONS IN mm FOR CONCRETE BLOCKSFOR 30 DEGREES BENDS - HORIZONTAL THRUST
L A B C D E F
900 790 4975 491 3157 4000 2000 3150 35.285
steps 1 4 2 3
Design Parameters
= 900 mm= 30 deg= 0.6362
= 18
= 24
= 10Coefficient of friction (μ) = 0.40
= 0.150 m
= 0.000 m
At Working Pressure
= 6 bars = 600 FGL = + 9.000
= 1.50 IL = + 6.400
= 1.50 GWT = + 4.400
= 1.20
At Hydrotest Pressure
= 9 bars = 900
= 1.13
= 1.13
= 1.20
PIPE DIAMETER
(mm)CONC
VOL (m3)
Pipe Diameter (DP)Angle of the bend (q)
Area of Pipe (AP) m2
Unit weight of soil (gS) kN/m3
Unit weight of concrete (gC) kN/m3
Unit weight of water (w) kN/m3
Height of soil above thrust block (h1)
Submerged height of thrust block (h2)
Working Pressure (PW) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Working Pressure (PH) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Figure 1: Plan and Section for horizontal thrust block
Soil Bearing Capacity (SBC) = 100 kPa
Check on Soil Bearing Pressure
Thrust Block Plan Area = 9.073 Volume of soil = 1.361= 846.841 kN (neglecting buoyancy) Wt of soil = 24.496 kN (on top of thrust block)
ΣV = Wt. of conc + Wt. of soil= 871.337 kN
Static vertical pressure =ΣV
Plan Area96.041 kPa < SBC, Ok
Thrust Block Stability Check
1. At Working Pressure - 6 bar
== 197.584 kN
a. Check against OverturningTaking moments about O
x =A*(C+2B)
= 1.881 m3(B+C)y = D / 2 = 2.000 m
== 1593.184 kN.m
== 0.000 kN
== 395.169 kN.m
=
=1593.184
= 4.0317 > 1.5 , Ok395.169b. Check against Sliding
== 338.736 kN
m2 m3
Wt of conc. (WC)
Thrust (TW) 2PWAP sin q/2
Resisting Moment (MR) WC * x
Buoyant Force (BF) w * vol. sub.
Overturning Moment (MOT) TW * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Resisting Force (FR) (Wt. of Conc. - BF) * μ
F.G.L.
h1
h2
x
y
O
WC
Tw
Figure 3: Diagram of forces on a horizontal thrust
GWT
Figure 2: Height of soil and the submerged height in a horizontal thrust block
BF
=
=338.736
= 1.7144 > 1.5 , Ok197.584
2. At Hydrotest Pressure - 9 bar
== 296.376 kN
a. Check against Overturning
== 592.753 kN.m
=
=1593.184
= 2.6878 > 1.13 , Ok592.753
b. Check against Sliding
=
=338.736
= 1.1429 > 1.13 , Ok296.376
3. Check against Bouyancy
=Wt. of Conc
=846.841
= N/A > 1.2 , Ok0.000
Safety factor against sliding (FS)FR
TW
FS
Thrust (TH) 2PHAP sin q/2
Overturning Moment (MOT) TH * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Safety factor against sliding (FS)FR
TH
FS
Safety factor against bouyancy (FB)BF
FB
THRUST BLOCKS FOR HORIZONTAL ELBOW ( Ø 900 mm, 22.5 deg )Horizontal Thrust
TABLE 1 DIMENSIONS IN mm FOR CONCRETE BLOCKSFOR 22.5 DEGREES BENDS - HORIZONTAL THRUST
L A B C D E F
900 790 3923 964 2525 4000 1500 2500 26.374
steps 1 4 2 3
Design Parameters
= 900 mm= 22.5 deg= 0.6362
= 18
= 24
= 10Coefficient of friction (μ) = 0.40
= 0.150 m
= 0.000 m
At Working Pressure
= 6 bars = 600 FGL = + 9.000
= 1.50 IL = + 6.400
= 1.50 GWT = + 4.400
= 1.20
At Hydrotest Pressure
= 9 bars = 900
= 1.13
= 1.13
= 1.20
PIPE DIAMETER
(mm)CONC
VOL (m3)
Pipe Diameter (DP)Angle of the bend (q)
Area of Pipe (AP) m2
Unit weight of soil (gS) kN/m3
Unit weight of concrete (gC) kN/m3
Unit weight of water (w) kN/m3
Height of soil above thrust block (h1)
Submerged height of thrust block (h2)
Working Pressure (PW) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Working Pressure (PH) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Figure 1: Plan and Section for horizontal thrust block
Soil Bearing Capacity (SBC) = 100 kPa
Check on Soil Bearing Pressure
Thrust Block Plan Area = 6.845 Volume of soil = 1.027= 632.980 kN (neglecting buoyancy) Wt of soil = 18.481 kN (on top of thrust block)
ΣV = Wt. of conc + Wt. of soil= 651.461 kN
Static vertical pressure =ΣV
Plan Area95.176 kPa < SBC, Ok
Thrust Block Stability Check
1. At Working Pressure - 6 bar
== 148.933 kN
a. Check against OverturningTaking moments about O
x =A*(C+2B)
= 1.669 m3(B+C)y = D / 2 = 2.000 m
== 1056.520 kN.m
== 0.000 kN
== 297.867 kN.m
=
=1056.520
= 3.547 > 1.5 , Ok297.867b. Check against Sliding
== 253.192 kN
m2 m3
Wt of conc. (WC)
Thrust (TW) 2PWAP sin q/2
Resisting Moment (MR) WC * x
Buoyant Force (BF) w * vol. sub.
Overturning Moment (MOT) TW * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Resisting Force (FR) (Wt. of Conc. - BF) * μ
F.G.L.
h1
h2
x
y
O
WC
Tw
Figure 3: Diagram of forces on a horizontal thrust
GWT
Figure 2: Height of soil and the submerged height in a horizontal thrust block
BF
=
=253.192
= 1.7 > 1.5 , Ok148.933
2. At Hydrotest Pressure - 9 bar
== 223.400 kN
a. Check against Overturning
== 446.800 kN.m
=
=1056.520
= 2.3646 > 1.13 , Ok446.800
b. Check against Sliding
=
=253.192
= 1.1334 > 1.13 , Ok223.400
3. Check against Bouyancy
=Wt. of Conc
=632.980
= N/A > 1.2 , Ok0.000
Safety factor against sliding (FS)FR
TW
FS
Thrust (TH) 2PHAP sin q/2
Overturning Moment (MOT) TH * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Safety factor against sliding (FS)FR
TH
FS
Safety factor against bouyancy (FB)BF
FB
THRUST BLOCKS FOR HORIZONTAL ELBOW ( Ø 900 mm, 11.25 deg )Horizontal Thrust
TABLE 1 DIMENSIONS IN mm FOR CONCRETE BLOCKSFOR 11.25 DEGREES BENDS - HORIZONTAL THRUST
L A B C D E F
900 790 2836 1406 1964 3000 850 2000 13.333
steps 1 4 2 3
Design Parameters
= 900 mm= 11.25 deg= 0.6362
= 18
= 24
= 10Coefficient of friction (μ) = 0.40
= 0.650 m
= 0.000 m
At Working Pressure
= 6 bars = 600 FGL = + 9.000
= 1.50 IL = + 6.400
= 1.50 GWT = + 4.400
= 1.20
At Hydrotest Pressure
= 9 bars = 900
= 1.13
= 1.13
= 1.20
PIPE DIAMETER
(mm)CONC
VOL (m3)
Pipe Diameter (DP)Angle of the bend (q)
Area of Pipe (AP) m2
Unit weight of soil (gS) kN/m3
Unit weight of concrete (gC) kN/m3
Unit weight of water (w) kN/m3
Height of soil above thrust block (h1)
Submerged height of thrust block (h2)
Working Pressure (PW) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Working Pressure (PH) kN/m2
Factor of Safety against Overturning (FOT)
Factor of Safety against Sliding (FS)
Factor of Safety against Buoyancy (FB)
Figure 1: Plan and Section for horizontal thrust block
Soil Bearing Capacity (SBC) = 100 kPa
Check on Soil Bearing Pressure
Thrust Block Plan Area = 4.779 Volume of soil = 3.107= 319.996 kN (neglecting buoyancy) Wt of soil = 55.919 kN (on top of thrust block)
ΣV = Wt. of conc + Wt. of soil= 375.916 kN
Static vertical pressure =ΣV
Plan Area78.653 kPa < SBC, Ok
Thrust Block Stability Check
1. At Working Pressure - 6 bar
== 74.827 kN
a. Check against OverturningTaking moments about O
x =A*(C+2B)
= 1.340 m3(B+C)y = D / 2 = 1.500 m
== 428.723 kN.m
== 0.000 kN
== 112.240 kN.m
=
=428.723
= 3.8197 > 1.5 , Ok112.240b. Check against Sliding
== 127.998 kN
m2 m3
Wt of conc. (WC)
Thrust (TW) 2PWAP sin q/2
Resisting Moment (MR) WC * x
Buoyant Force (BF) w * vol. sub.
Overturning Moment (MOT) TW * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Resisting Force (FR) (Wt. of Conc. - BF) * μ
F.G.L.
h1
h2
x
y
O
WC
Tw
Figure 3: Diagram of forces on a horizontal thrust
GWT
Figure 2: Height of soil and the submerged height in a horizontal thrust block
BF
=
=127.998
= 1.7106 > 1.5 , Ok74.827
2. At Hydrotest Pressure - 9 bar
== 112.240 kN
a. Check against Overturning
== 168.361 kN.m
=
=428.723
= 2.5465 > 1.13 , Ok168.361
b. Check against Sliding
=
=127.998
= 1.1404 > 1.13 , Ok112.240
3. Check against Bouyancy
=Wt. of Conc
=319.996
= N/A > 1.2 , Ok0.000
Safety factor against sliding (FS)FR
TW
FS
Thrust (TH) 2PHAP sin q/2
Overturning Moment (MOT) TH * y + BF * x
Safety factor against overturing (FOT)MR
MOT
FOT
Safety factor against sliding (FS)FR
TH
FS
Safety factor against bouyancy (FB)BF
FB