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Strength of Materials

Stresses in Thin Cylinders

A thin cylind...

Question

A thin cylinder of unit length, thickness $^{'} t^{'}$ and radius $^{'} r^{'}$ is subjected to internal pressure $^{'} p^{'}$ . What is the circumferential stress?

A

p r / 2 E t

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B

p r / 2 t

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C

p r / t

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D

2 p r / t

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Solution

The correct option is C $p r / t$
Circumferential stress
$σ = \frac{p d}{2 t}$
$d = 2 r$
$S o, σ = \frac{p 2 r}{2 t}$
$σ = \frac{p r}{t}$

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