Awa Anchor Block Design

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Anchor Block DesignRefer Code IS:5330 - 1984 coefficient of friction of pipe on Piers friction of expansion joint per m of circumference unit wt. of water in kg/m3 Dia of pipe at Anchor (m) Dia of pipe above upper reducer (m) Dia of pipe below lower reducer (m) 2 Cross Sectional Area of pipe at Anchor (m ) 2 Cross Sectional Area of pipe above upper reducer (m ) 2 Cross Sectional Area of pipe below lower reducer (m ) FSL at forbay E.L. At bend Max. Head at bend additional head due to water hammer Max. Head at bend, including water hammer (m) E.L. At uphill expansion joint Max. Head at uphill expansion joint Max. Head at uphill expansion joint, including water hammer E.L. At downhill expansion joint Max. Head at downhill expansion joint Max. Head at downhillphill expansion joint, including water hammer E.L. At upper reducer Max. Head at upper reducer Max. Head at upper reducer, including water hammer E.L. At lower reducer Max. Head at lower reducer Max. Head at lower reducer, including water hammer (m) thickness of pipe shell (uphill of Anchor Block) (mm) thickness of pipe shell (downhill of Anchor Block) (mm) Density of Pipe Material (t/m3) Flow (cumec) Velocity in m/s Acceleration due to Gravity Length of pipe from anchor uphill to expansion joint Length of pipe from anchor to adjascent uphill Pier Length of pipe downhill from anchor to expansion joint Length of pipe from anchor to adjascent downhill Pier Dead Weight of pipe from anchor uphill to expansion joint Weight of water in pipe P Dead Weight of pipe downhill from anchor to expansion joint Weight of water in pipe P' Slope angle of Penstock upstream of anchor (degrees) Slope angle of Penstock downstream of anchor (degrees) weight of pipe and contained water from anchor to adjascent uphill pier weight of pipe and contained water from anchor to adjascent downhill pier (N) Inside diameter of Pipe diameter of pipe shell at uphill expansion joint diameter of pipe shell at downhill expansion joint Cross Sectional Area of pipe shell at uphill expansion joint Cross Sectional Area of pipe shell at downhill expansion joint packing length

#2f f' w

A A' A"

h .20h H heu Heu hed Hed hur Hed hur Hed t t Q V g

P W P' W'

au ad

p p' d

a a' e

Coefficient of friction between packing and liner (Cl. 5.5.1 of IS : 5330 - 1984) Coefficient of internal friction between foundation, concrete and foundation under saturated condition Weight of Anchor block Length of Anchor Block Height of Anchor Block Area of anchor block( Length X Height) Width of anchor block Volume of concrete block Length of pipe Volume of pipe Wt of concrete in anchor block Weight of water Net wt of anchor block Total Vertical Force Load 1Hydrostatic Force acting along axis of pipe on each side bend Load 2 Dynamic Force acting against outside of bend Load 3 force due to dead Wt. Of Pipe from anchor uphill to expansion joint

mu mu'

K

Fs Fd Du

Load 4 force due to dead Wt. Of Pipe from anchor downhill to expansion joint Dd Load 5 Sliding Friction of pipe on piers (Uphill) Load 6 Sliding Friction of pipe on piers (downhill) Load 7 Sliding Friction of uphill expansion joint Load 8 Sliding Friction of downhill expansion joint(N) Load 9 Hydrostatic pressure on exposed end of pipe in uphill expansion joint Load 10 Hydrostatic pressure on exposed end of pipe in downhill expansion joint Load 11 Longitudinal Force due to reducer above anchor Load 12 Longitudinal Force due to reducer below anchor Spu Spd Seu Sed Fu Fd Lu Ld

Expanding Condition -Force Due to Upstream Penstock (Towards Downhill side on Anchor Block) Expanding Condition -Force Due to Downstream Penstock (Towards Uphill side on Anchor Block) Contracting Condition -Force Due to Upstream Penstock (Towards Downhill side on Anchor Block) Contracting Condition -Force Due to Downstream Penstock (Towards Uphill side on Anchor Block) Forces Total Vertical Force Expanding Conditions Total Horizontal Force (Downhill Side) Total Vertical Force (Downwards)

Contacting Condition Total Horizontal Force (Downhill Side) Total Vertical Force (Downwards)

Check against SlidingExpanding Condition Total Horizontal Forces Total Vertical Forces Factor of safty against sliding Contracting Condition Total Horizontal Forces Total Vertical Forces Factor of safty against sliding

Check Against StabiltyAgainst Tension Expanding - Total Horizontal Force (Downhill Side) Expanding - Total Vertical Force (Downwards) Force Due to self wt. x Contracting - Total Horizontal Force (Downhill Side) Contracting - Total Vertical Force (Downwards) Force Due to self wt. x Force #VALUE! #VALUE! 777838 Sigma M #VALUE! #VALUE! #VALUE! 777838.4 Sigma M #VALUE! FOS FOS

Against OverturningExpanding Condition Contracting Condition

0.6 1.5*m*w*H*e 5445.59 1000 1.4 0 0 1.5393804 nil nil 1559.433 1549.944 9.489 1.8978 11.3868 1552.799 6.634 7.9608 1548.134 11.299 13.5588 0 0 0 0 0 0 8 8 7.85 5.08 3.300029024 9.81 24.555 7.055 5.00 7.50 66914.63558 370812.955 13625.46031 75506.60863 6.0575 13.969 125765.3493 133698.1034 1400 1400 1400 0.017643184 0.017643184 0.125

kg/m3 m m m 2 m 2 m 2 m m m m m m m m m m m m m m m m m m mm mm t/m3 cumec m/s m/s2 m m m m N N N N

mm mm mm 2 m m2 m

0.26

864000 4 3 12 3 36 4 6.1544 716294.4 61544 777838.4

N

m2 m m3 m m3 N N N

777838.4 N wAH 143296.4 N QwV/g 16764.1 N Psin(alphau) 66824.4 N Psin(alphad) 3289.1 N f' cos(alphau)*(P+W-p/2) 223651.2 N #VALUE! #VALUE! N -55686906.2 -729.2 N 0.0 0.0 N 207967.3 #VALUE! N #VALUE! -671484908.6 N -3045.2 -12.9 N -10.6 -14.1 N

1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12

#VALUE! #VALUE! #VALUE! #VALUE!

777838.4 N

#VALUE! N #VALUE! N

#VALUE! N #VALUE! N

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

#VALUE!

#VALUE!

M 1.55 #VALUE! 2 #VALUE! 2.5 1944596 Sigma M #VALUE! Bt 1.333 & 1.55 #VALUE! 2 #VALUE! 2.5 1944596 Sigma M #VALUE! Bt 1.333 & #VALUE! #VALUE! #VALUE! #VALUE!

x

2.667 #VALUE!

2.667 #VALUE!

0.566014

Anchor Block DesignRefer Code IS:5330 - 1984 coefficient of friction of pipe on Piers friction of expansion joint per m of circumference unit wt. of water in kg/m Dia of pipe at Anchor (m) Dia of pipe above upper reducer (m) Dia of pipe below lower reducer (m) 2 Cross Sectional Area of pipe at Anchor (m ) 2 Cross Sectional Area of pipe above upper reducer (m ) 2 Cross Sectional Area of pipe below lower reducer (m ) FSL at forbay E.L. At bend Max. Head at bend additional head due to water hammer Max. Head at bend, including water hammer (m) E.L. At uphill expansion joint Max. Head at uphill expansion joint Max. Head at uphill expansion joint, including water hammer E.L. At downhill expansion joint Max. Head at downhill expansion joint Max. Head at downhillphill expansion joint, including water hammer E.L. At upper reducer Max. Head at upper reducer Max. Head at upper reducer, including water hammer E.L. At lower reducer Max. Head at lower reducer Max. Head at lower reducer, including water hammer (m) thickness of pipe shell (uphill of Anchor Block) (mm) thickness of pipe shell (downhill of Anchor Block) (mm) 3 Density of Pipe Material (t/m ) Flow (cumec) Velocity in m/s Acceleration due to Gravity Length of pipe from anchor uphill to expansion joint Length of pipe from anchor to adjascent uphill Pier Length of pipe downhill from anchor to expansion joint Length of pipe from anchor to adjascent downhill Pier Dead Weight of pipe from anchor uphill to expansion joint Weight of water in pipe P Dead Weight of pipe downhill from anchor to expansion joint Weight of water in pipe P' Slope angle of Penstock upstream of anchor (degrees) Slope angle of Penstock downstream of anchor (degrees) weight of pipe and contained water from anchor to adjascent uphill pier weight of pipe and contained water from anchor to adjascent downhill pier (N) Inside diameter of Pipe diameter of pipe shell at uphill expansion joint diameter of pipe shell at downhill expansion joint Cross Sectional Area of pipe shell at uphill expansion joint Cross Sectional Area of pipe shell at downhill expansion joint packing length Coefficient of friction between packing and liner (Cl. 5.5.1 of IS : 5330 - 1984) Coefficient of internal friction between foundation, concrete and foundation under saturated condition Weight of Anchor block Length of Anchor Block Height of Anchor Block Area of anchor block( Length X Height) Width of anchor block Volume of concrete block Length of pipe Volume of pipe Wt of concrete in anchor block3

#3f f' w 0.6 1.5*m*w*H*e 15743.39 1000 1.4 0 0 1.5393804 nil nil 1559.433 1532 27.433 5.4866 32.9196 1548.134 11.299 13.5588 1527.961 31.472 37.7664 0

A A' A"

h .20h H heu Heu hed Hed hur Hed

0 hur Hed t t Q V g

P W P' W'

au ad

8 8 7.85 5.08 3.300029024 9.81 63.334 8.334 5.00 7.50 172590.9806 956427.1102 13625.46031 75506.60863 13.969 28.37 148565.3325 133698.1034 1400 1400 1400 0.017643184 0.017643184 0.125 0.26

kg/m m m m 2 m 2 m 2 m m m m m m m m m m m m m m m m m m mm mm 3 t/m cumec m/s m/s2 m m m m N N N N

3

p p' d

a a' e mu mu'

mm mm mm m2 m2 m

2880000 6 5 30 4 120 6 9.2316 2658441.6

N

m2 m m3 m m3 N

Weight of water Net wt of anchor block

K

92316 N 2750757.6 N

Shearing strength under saturated condition Area under compression Total Vertical Force Load 1Hydrostatic Force acting along axis of pipe on each side bend Load 2 Dynamic Force acting against outside of bend Load 3 force due to dead Wt. Of Pipe from anchor uphill to expansion joint

tau a" Fs Fd Du

Load 4 force due to dead Wt. Of Pipe from anchor downhill to expansion joint Dd Load 5 Sliding Friction of pipe on piers