Question 3.1: Diameter of a water supply pipe is 700 mm. It has to stand a...
Diameter of a water supply pipe is 700 mm. It has to stand a water head of 60 m. If the permissible stress of the material is 20 MPa, find out the required thickness of the pipe. Consider the specific weight of water to be 9810 N/m³.
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Water head that the water supply pipe can withstand is 60 m. The pressure is given by
p = γh
where γ is the specific weight of water = 9810 N/m³. Therefore,
p = 9810 × 60 = 0.588 MPa
Now for the pipe, circumferential stress is
\sigma_1=\frac{p r}{t}
This is the maximum stress or significant stress, and hence we can find out the thickness of the pipe from this expression:
\sigma_1=\sigma_{\text {permissible }}=\frac{p r}{t}
or 20=\frac{0.588 \times(700 / 2)}{t}
Therefore, thickness is found to be 10.30 mm.
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