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Cast iron pipe of 1 metre diameter is required to with standard 200 metres ahead of water if he limiting tensile stress of pipe materials 20mph than the thickness of the pipewill be?
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Cast iron pipe of 1 metre diameter is required to with standard 200 me...
Calculation of Thickness of Cast Iron Pipe


Given Data


  • Diameter of pipe = 1 meter

  • Distance to be covered by water = 200 meters

  • Limiting tensile stress of pipe material = 20 MPa



Formula Used

The formula used to calculate the thickness of the pipe is:

t = (P*D)/(2*S*E + P)

Where,


  • t = Thickness of the pipe

  • P = Internal pressure of the pipe

  • D = Diameter of the pipe

  • S = Allowable stress of the material

  • E = Joint efficiency of the pipe



Solution

Given, internal pressure of the pipe is hydrostatic pressure which is calculated as:

P = g*h*d

Where,


  • g = Acceleration due to gravity = 9.81 m/s^2

  • h = Height of the water column = 200 meters

  • d = Density of water = 1000 kg/m^3


Substituting the values, we get:

P = 9.81*200*1000 = 1,962,000 N/m^2


Assuming joint efficiency of the pipe as 0.75, substituting the values in the formula, we get:

t = (P*D)/(2*S*E + P) = (1,962,000*1)/(2*20*10^6*0.75 + 1,962,000) = 0.0284 meters = 28.4 mm


Answer

The thickness of the cast iron pipe required to withstand standard 200 meters ahead of water if the limiting tensile stress of pipe materials 20 MPa is 28.4 mm.
Community Answer
Cast iron pipe of 1 metre diameter is required to with standard 200 me...
Hoop stress =pd/2t pressure for 200m head is 2mpa then। 2*1*1000/2*20=50mm
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Cast iron pipe of 1 metre diameter is required to with standard 200 metres ahead of water if he limiting tensile stress of pipe materials 20mph than the thickness of the pipewill be?
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