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A penstock pipe of 10 m diameter carries water under a pressure head of 100 m. If the wall thickness is 9 mm, what is the tensile stress, in Mpa, in the pipe wall?
1. 1090
2. 272.5
3. 2725
4. 545.0

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Correct Answer - Option 4 : 545.0

Given,

Pressure head = 100 m

So, P = ρg H

P = 103 × 9.81 × 100 ........(ρ = 103 kg / m3, g = 9.81)

P = 981000 N/m2

Tensile stress in pipe wall = circumferential stress in pipe wall

So, tensile stress in pipe wall \(= \frac {Pd}{2t}\)

\(= \frac {981000 × 10}{2 × 9 × 10^{-3}}\)

= 545 × 106 N/m2

= 545 MPa

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