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.