design of thrust block

DESIGN OF THRUST BLOCKS at RISING NEAR DELIVERY CISTERN

DATA ASSUMED

Density of concrete Yc 2500 cover of earth on top Tcov 1Ht of ThrustBlock=h= h 2Width of ThrustBlock= b 4.5LTB= length of ThrustBlock= L 6GL. Above base of block ht 1Fw=ressist forc due to soil frictionFb=lateral soil resist.gainst blockFp=lateral soil resist.gainst pipe

Soil parametersInternal angle of friction in degrees fy 30Soil cohesion =C= co 4880Soil density =ds ys 1800Internal angle of friction around the block in degrees 26Fric.ressit. Of soil(0.25 to 0.4) 0.3SBC BC 25Density of water= 1000

Pipeline parametersAngle of deviation 15 alpa mDia of pipe 0.8 d mArea of pipe 0.50272 A sqmWater hammer pressure 98.14 Ph t/sqmInternal pressu. At bend=P 86.32 Pi t/sqmThi. Of pipe 0.007 t m

alpa=15alpa/2=15

FOR 15 degree bend

Horizontal thrustF=2PA sin alpa/22x86.32x0.50272x0.3827 11.326

i Lateral resistance tocounteract the horizontal thrust

wt . TB 3x3-0.50272)x3x2500 127464.00

wt. of pipe 3.142x0.8x0.007x6x7.85 828.73

wt . Of water in pipe 0.50272x6x1000 3016.32

wt of earth 15x0.8x1x1800 0Total WT.(vertical load) Fv 131309.05Total force available considering fri. resistance of soil

92731.7312

Fw=f* totalwt 0.3x131309.054 39392.716ii Lateral resist. Of soil against the block

Ht of ThrustBlock=h= 3Width of ThrustBlock= 2.6LTB= length of ThrustBlock= 3sin0 =sin30=.5 0.5

(1-sin26) (1+sin0)/(1-sin0) 3 1.4384

(1+sin26) (1-sin0)/(1+sin0) 0.333 0.5616

Ppass= .5*ds*h^2*LTB*((1+sin0)/(1-sin0))

Ppass= 0.5x1x1x1.4384/0.5616

Lateral resistance of soil when the thrust lock isfree to yield away from the sol mass i.e,the portion of projected pipeFp= ds*h*(L.P-LTB)*((1-sin0)/(1+sin0))-2*C*(L.P-LTB)*((1-sin0)/(1+sn0))^.5

Fp= 1800x3x(15-3)x0.333-2x4880x(15-3)x0.333^0.5

Factor safety=(Fw+Fb+Fp)/hor,thrust(39392.716+2305.128+-46007.045)/11.326

Angle of deviation P=Internal pressure

AT +363.00 Elevation 15 13 11.326

Provide 10mm tor steel bars at 250mm c/c on all faces both directions

Po=YS*HT*(1-SIN0)Po=0 where ht=0 0Po(1)= where ht=1 900Fo=(Po+Po(1)*ht/2 450To=radialthrust /unit length(Fv*(b'-b/3)+Fo*h2)/h1/L 16438.6318Fv inkg/m 131309.05b'=b/2 2.25

0.333h1=h/2 1

CHECK THE LENGTHlength= (Fp(bend)/ToFp(bend)=T=thrust due to deflectionin pipe L 5.6410857

Hor. Force due to inter.Pressure

h2=point@whichFo acts=ht/3 since triangular distribution

mailto:h2%3Dpoint@whichFo%20acts%3Dht/3%20since%20triangular%20distribution


t/sqm angle 15m

87870

t/sqmt/cum

t/sqmt/cum

Sin45 0.7071Sin30 0.5Sin22.5 0.3827Sin15 0.2588Sin11.25 0.1951Sin7.5 0.1305tonnes

kg

kg

kg

kgkg

kg

.5*ds*h^2*LTB*((1+sin0)/(1-sin0))

0.5x1x1x1.4384/0.56162305.128

Lateral resistance of soil when the thrust lock isfree to yield away from the sol mass i.e,the portion of projected pipeds*h*(L.P-LTB)*((1-sin0)/(1+sin0))-2*C*(L.P-LTB)*((1-sin0)/(1+sn0))^.5

1800x3x(15-3)x0.333-2x4880x(15-3)x0.333^0.5-46007 tonnes

-380.470 >1.5 Hence SAFE

Fp in tonnes Size of thrust blockL B D

### 2305.128 -46007.045 -380.470 3 2.6 3 234

Fw in tonnes

Fb in tonnes

Factor of safety

Surface steel at 5 kg/sqm (kgs)

DESIGN OF THRUST BLOCKS

DATA ASSUMED

Density of concrete 2.4 t/sqmmin. cover of earth on T.B in M 1 mFw=ressist forc due to soil frictionFb=lateral soil resist.gainst blockFp=lateral soil resist.gainst pipe

Soil parametersInternal angle of friction in degrees 30Soil cohesion =C= 4.9 t/sqmSoil density =ds 1.6 t/cumFric.ressit. Of soil(0.25 to 0.4) 0.3

Sin45 0.7071Sin30 0.5

FOR 45 degree bend alpa=45 Sin22.5 0.3827Sin15 0.2588

Horizontal thrust Sin11.25 0.1951F=2PA sin alpa/2 Sin7.5 0.1305

Sin 3.75 0.0654110.149827657 tonnes

i Lateal resistance to counteract the horizontal thrust

wt . TB 41.79 tonnes

wt. of pipe 1.97 tonnes

wt . Of water in pipe 7.855 tonnes

wt of earth 16 tonnes67.61

Total force available considering fri. resistance of soil

Fw=f* totalwt 20.284ii Lateral resist. Of soil against the block

Ht of TB=h=2.4 2.4LTB length of TB= 3.5 .5*ds*h^2*LTB*((1+sin0)/(1-sin0))+2*C*h*LTB*((1+sin0)/(1-sn0))^.5sin0 =sin30=.5 0.5

0.51.5 Fb= 190.9664

Lateral resistance of soil when the thrust lock isfree to yield away from the sol mass i.e,the portion of projected pipe

Fp= ds*h*(L.P-LTB)*((1-sin0)/(1+sin0))-2*C*(L.P-LTB)*((1-sin0)/(1+sn0))^.5

-28.45721 tonnes

Factor safety=Fw+Fb+Fp/hor,thrust1.659 >1.5


Soil parametersInternal angle of friction in degrees 30Soil cohesion =C= 4.9 t/sqmSoil density =ds 1.8 t/cumFric.ressit. Of soil(0.25 to 0.4) 0.3

Sin45 0.7071Sin30 0.5

FOR 45 degree bend alpa=45 Sin22.5 0.3827alpa/2=22.5 Sin15 0.2588

Horizontal thrust Sin11.25 0.1951F=2PA sin alpa/2 Sin7.5 0.1305

10.661 tonnes

i Lateal resistance tocounteract the horizontal thrust

wt . TB 26.05 tonnes

wt. of pipe 5.92 tonnes

wt . Of water in pipe 31.42 tonnes

wt of earth 36 tonnesTotal WT. 99.39Total force available considering fri. resistance of soil

Fw=f* totalwt 29.817ii Lateral resist. Of soil against the block

Ht of TB=h=2.6 2.6LTB length of TB= 3 .5*ds*h^2*LTB*((1+sin0)/(1-sin0))+2*C*h*LTB*((1+sin0)/(1-sn0))^.5sin0 =sin30=.5 0.5

0.51.5 Fb= 187.154


Fp= ds*h*(L.P-LTB)*((1-sin0)/(1+sin0))-2*C*(L.P-LTB)*((1-sin0)/(1+sn0))^.5

-28.68623 tonnes

Factor safety=(Fw+Fb+Fp)/hor,thrust17.661 >1.5

Angle of deviation

AT +300.00 Elevation 45 105 252.513 41.539 467.885AT +360.00 Elevation 45 18 43.288 35.027 311.923AT +361.00 Elevation 22.5 16 19.616 29.817 187.154AT +363.00 Elevation 15 13 10.661 29.817 187.154


P=Internal pressure


Fw in tonnes

Fb in tonnes


Pipeline parametersLength. Of pipe 10 mDia of pipe 1 mInternal pressu. At bend 183.21 t/sqmThi. Of pipe 0.008 m

.5*ds*h^2*LTB*((1+sin0)/(1-sin0))+2*C*h*LTB*((1+sin0)/(1-sn0))^.5


ds*h*(L.P-LTB)*((1-sin0)/(1+sin0))-2*C*(L.P-LTB)*((1-sin0)/(1+sn0))^.5

Hence SAFE

Pipeline parametersLength. Of pipe 10 mDia of pipe 2 mInternal pressu. At bend 13 t/sqmThi. Of pipe 0.012 m



ds*h*(L.P-LTB)*((1-sin0)/(1+sin0))-2*C*(L.P-LTB)*((1-sin0)/(1+sn0))^.5

Hence SAFE

Factor of safety Size of thrust blockL B D

-10.245 1.977 7.5 2.6 2.6 457.6-20.49 7.542 5 2.6 2.6 327.6

-28.686 9.598 3 2.6 2.6 223.6-28.686 17.661 3 2.6 2.6 223.6

Fp in tonnes



DATA ASSUMED

Density of concrete 2.4min. cover of earth on T.B in M 1Fw=ressist forc due to soil frictionFb=lateral soil resist.gainst blockFp=lateral soil resist.gainst pipe

Soil parametersInternal angle of friction in degrees 30Soil cohesion =C= 4.9Soil density =ds 1.6Fric.ressit. Of soil(0.25 to 0.4) 0.3Density of water= 1

Pipeline parametersLength. Of pipe 10 mDia of pipe 2 mArea of pipe 3.142 sqmInternal pressu. At bend=P 13 t/sqmThi. Of pipe 0.012 m

alpa=15alpa/2=7.5

FOR 15 degree bend

Horizontal thrustF=2PA sin alpa/22x13x3.142x0.1305 10.661


wt . TB 2.6x2.6-3.142)x3x2.4 26.05

wt. of pipe 3.142x2x0.012x10x7.85 5.92

wt . Of water in pipe 3.142x10x1 31.42

wt of earth 10x2x1x1.6 32Total WT. 95.39Total force available considering fri. resistance of soil


Ht of ThrustBlock=h= 2.6Width of ThrustBlock=h= 2.6

LTB= length of ThrustBlock= 3sin0 =sin30=.5 0.5

(1-sin30) .5 (1+sin0)/(1-sin0) 3 Fb=

(1+sin30) 1.5 (1-sin0)/(1+sin0) 0.3330.5x1.6x2.6x2.6x3x3+2x4.9x2.6x3x3^.5


Fp=1.6x2.6x(10-3)x0.333-2x4.9x(10-3)x0.333^0.5

Factor safety=(Fw+Fb+Fp)/hor,thrust(28.617+181.07+-29.889)/10.661


AT +300.00 Elevation 45 105 252.513AT +360.00 Elevation 45 18 43.288AT +361.00 Elevation 22.5 16 19.616AT +363.00 Elevation 15 13 10.661




t/sqmm

t/sqmt/cum

t/cum

Sin45 0.7071Sin30 0.5Sin22.5 0.3827Sin15 0.2588Sin11.25 0.1951Sin7.5 0.1305tonnes

tonnes

tonnes

tonnes

tonnestonnes


0.5x1.6x2.6x2.6x3x3+2x4.9x2.6x3x3^.5181.07


ds*h*(L.P-LTB)*((1-sin0)/(1+sin0))-2*C*(L.P-LTB)*((1-sin0)/(1+sn0))^.51.6x2.6x(10-3)x0.333-2x4.9x(10-3)x0.333^0.5

-29.889 tonnes

16.865 >1.5 Hence SAFE

Factor of safety Size of thrust blockL B D

41.539 467.885 -10.245 1.977 7.5 2.6 2.6 457.635.027 311.923 -20.49 7.542 5 2.6 2.6 327.629.817 187.154 -28.686 9.598 3 2.6 2.6 223.628.617 181.07 -29.889 16.865 3 2.6 2.6 223.6

Fw in tonnes

Fb in tonnes

Fp in tonnes



DATA ASSUMED


Soil parametersInternal angle of friction in degrees 30Soil cohesion =C= 4.9 t/sqmSoil density =ds 1.6 t/cumFric.ressit. Of soil(0.25 to 0.4) 0.3Density of water= 1 t/cum


alpa=15 Sin45alpa/2=15 Sin30

FOR 15 degree bend Sin22.5Sin15

Horizontal thrust Sin11.25F=2PA sin alpa/2 Sin7.52x13x3.142x0.3827 10.661 tonnes


wt . TB 3x3-3.142)x3x2.4 42.18 tonnes

wt. of pipe 3.142x2x0.012x10x7.85 5.92 tonnes

wt . Of water in pipe 3.142x10x1 31.42 tonnes

wt of earth 10x2x1x1.6 32 tonnesTotal WT. 111.52 tonnesTotal force available considering fri. resistance of soil


Ht of ThrustBlock=h= 3Width of ThrustBlock= 2.6LTB= length of ThrustBlock= 3sin0 =sin30=.5 0.5

(1-sin30) (1+sin0)/(1-sin0) 3

(1+sin30) (1-sin0)/(1+sin0) 0.333

Fb= .5*ds*h^2*LTB*((1+sin0)/(1-sin0))+2*C*h*LTB*((1+sin0)/(1-sn0))^.5

Fb 0.5x1.6x3x2.6x3x3+2x4.9x3x3x3^.5208.927


Fp= 1.6x3x(10-3)x0.333-2x4.9x(10-3)x0.333^0.5-28.398

Factor safety=(Fw+Fb+Fp)/hor,thrust(33.455+208.927+-28.398)/10.661 20.072


AT +363.00 Elevation 15 13 10.661 33.455



Fw in tonnes


0.70710.5

0.38270.25880.19510.1305


0.5x1.6x3x2.6x3x3+2x4.9x3x3x3^.5


1.6x3x(10-3)x0.333-2x4.9x(10-3)x0.333^0.5tonnes

>1.5 Hence SAFE


208.927 -28.398 20.072 3 2.6 3 234

Fb in tonnes

Factor of safety


DESIGN OF THRUST BLOCKS at CONVERING LOCATION

DATA ASSUMED




alpa=22.5 Sin45alpa/2=22.5 Sin30

FOR 22.5 degree bend Sin22.5Sin15



wt . TB 2.6x2.6-3.142)x3x2.4 26.05 tonnes





Ht of ThrustBlock=h= 2.6Width of ThrustBlock= 3LTB= length of ThrustBlock= 3sin0 =sin30=.5 0.5

(1-sin30) (1+sin0)/(1-sin0) 3

(1+sin30) (1-sin0)/(1+sin0) 0.333


Fb 0.5x1.6x2.6x3x3x3+2x4.9x2.6x3x3^.5188.558


Fp= 1.6x2.6x(5-3)x0.333-2x4.9x(5-3)x0.333^0.5-8.54



AT +361.00 Elevation 22.5 16 19.616 18.216



Fw in tonnes

DESIGN OF THRUST BLOCKS at CONVERING LOCATION

0.70710.5

0.38270.25880.19510.1305


0.5x1.6x2.6x3x3x3+2x4.9x2.6x3x3^.5


1.6x2.6x(5-3)x0.333-2x4.9x(5-3)x0.333^0.5tonnes

>1.5 Hence SAFE


188.558 -8.54 10.106 3 3 2.6 258

Fb in tonnes

Factor of safety


DESIGN OF THRUST BLOCKS 2nd BEND at TOP OF INCLINED SHAFT

DATA ASSUMED




alpa=45 Sin45alpa/2=22.5 Sin30




wt . TB 4x4-3.142)x4x2.4 123.44 tonnes





Ht of ThrustBlock=h= 4Width of ThrustBlock= 4LTB= length of ThrustBlock= 4sin0 =sin30=.5 0.5

(1-sin30) (1+sin0)/(1-sin0) 3

(1+sin30) (1-sin0)/(1+sin0) 0.333


Fb 0.5x1.6x4x4x4x3+2x4.9x4x4x3^.5425.186


Fp= 1.6x4x(10-4)x0.333-2x4.9x(10-4)x0.333^0.5-21.144



AT +360.00 Elevation 45 18 43.288 57.833



Fw in tonnes

DESIGN OF THRUST BLOCKS 2nd BEND at TOP OF INCLINED SHAFT

0.70710.5

0.38270.25880.19510.1305

78193492.37760023838811.76641281

37932.9225930122.4047184810591


0.5x1.6x4x4x4x3+2x4.9x4x4x3^.5


1.6x4x(10-4)x0.333-2x4.9x(10-4)x0.333^0.5tonnes

>1.5 Hence SAFE

Fp in tonnes Factor of safety Size of thrust blockL B D

425.186 -21.144 10.670 4 4 4 480

Fb in tonnes


DESIGN OF THRUST BLOCKS 1st BEND IN INCLINED SHAFT

DATA ASSUMED

Density of concrete 2.4 t/sqmmin. cover of earth on T.B in M 1 mFw=resisting forc due to soil frictionFb=lateral soil resistance.gainst blockFp=lateral soil resistance.gainst pipe


Pipeline parametersLength. Of pipe 7.5 mDia of pipe 2 mArea of pipe 3.142 sqmInternal pressu. At bend=P 105 t/sqmThi. Of pipe 0.012 m





wt . TB 3x3x0.7855-3.142)x7.5x2 70.70 tonnes

wt. of pipe 3.142x2x0.012x7.5x7.85 4.44 tonnes

wt . Of water in pipe 3.142x7.5x1 23.565 tonnes

wt of earth 7.5x2x1x2.6 39 tonnesTotal WT. 137.70 tonnesTotal force available considering fri. resistance of soil


Ht of ThrustBlock=h= 3Width of ThrustBlock=b 3LTB= length of ThrustBlock= 7.5sin0 =sin30=.5 0.5

(1-sin30) (1+sin0)/(1-sin0) 3

(1+sin30) (1-sin0)/(1+sin0) 0.333

Fb= .5*ds*h*b*.7855*LTB*((1+sin0)/(1-sin0))+2*C*h*LTB*((1+sin0)/(1-sn0))^.5

Fb 0.5x2.6x3x3x0.7855x7.5x3+2x4.9x3x7.5x3^.5588.7


Fp= 2.6x3x(7.5-7.5)x0.333-2x4.9x(7.5-7.5)x0.333^0.50

Factor safety=(Fw+Fb+Fp)/hor,thrust(41.31+588.7+0)/252.513 2.495


AT +300.00 Elevation 45 105 252.513 41.310



Fw in tonnes


0.70710.5

0.38270.25880.19510.1305

.5*ds*h*b*.7855*LTB*((1+sin0)/(1-sin0))+2*C*h*LTB*((1+sin0)/(1-sn0))^.5

0.5x2.6x3x3x0.7855x7.5x3+2x4.9x3x7.5x3^.5


2.6x3x(7.5-7.5)x0.333-2x4.9x(7.5-7.5)x0.333^0.5tonnes

>1.5 Hence SAFE


588.7 0 2.495 7.5 3 3 540

Fb in tonnes

Factor of safety



DATA ASSUMED








wt . TB 2.6x2.6-3.142)x7.5x2.4 65.12 tonnes





Ht of ThrustBlock=h= 2.6Width of ThrustBlock= 2.6LTB= length of ThrustBlock= 7.5sin0 =sin30=.5 0.5

(1-sin30) (1+sin0)/(1-sin0) 3

(1+sin30) (1-sin0)/(1+sin0) 0.333


Fb 0.5x1.6x2.6x2.6x7.5x3+2x4.9x2.6x7.5x3^.5452.675


Fp= 1.6x2.6x(10-7.5)x0.333-2x4.9x(10-7.5)x0.333^0.5-10.675



AT +300.00 Elevation 45 105 252.513 40.339



Fw in tonnes


0.70710.5

0.38270.25880.19510.1305


0.5x1.6x2.6x2.6x7.5x3+2x4.9x2.6x7.5x3^.5


1.6x2.6x(10-7.5)x0.333-2x4.9x(10-7.5)x0.333^0.5tonnes

>1.5 Hence SAFE


452.675 -10.675 1.910 7.5 2.6 2.6 457.6

Fb in tonnes

Factor of safety


design of thrust block

Documents

fwressist

pipeline parameters

thrust lock

sin45 sin30

horizontal

lateral resistance

2pa sin alpa2

pipe internal