Question
Download Solution PDFWater is flowing in a pipe of 200 cm diameter under a pressure head of 10000 cm. The thickness of the pipe wall is 0.75 cm. The tensile stress in the pipe wall in MPa is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
For a thin cylinder:
Longitudinal stress: \({\sigma _L} = \frac{{pd}}{{4t}}\)
Hoop stress: \({\sigma _h} = \frac{{pd}}{{2t}}\)
Calculation:
Given:
Diameter, d = 200 cm = 2 m, Pressure head, h = 10,000 cm = 100 m, Thickness t = 0.75 cm = 0.0075 m
Both longitudinal and hoop stress are tensile in nature, But as per design consideration of thickness, we use hoop stress for calculation.
Pressure inside the cylinder, P = ρgh = 1000 × 10 × 100 = 106 Pa
\({\sigma _h} = \frac{{pd}}{{2t}} \)
\({\sigma _h} = \frac{{10^6~\times~2}}{{2~\times~0.0075}} = 133.3~\times10^6\) = 133.3 MPa ∼ 130.5 MPa
Last updated on May 28, 2025
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