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Strength of Materials

Changes in Dimensions of a Thin Cylinder

A thin cylind...

Question

A thin cylindrical pressure vessel with closed- ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is

A

0.25

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B

0.50

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C

1.0

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D

2.0

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Solution

The correct option is D 2.0
For thin cylinder:

Circumferential stress,
$σ_{h} = \frac{p d}{2 t}$

Longitudinal stress,
$σ_{L} = \frac{p d}{4 t}$

$∴ \frac{σ_{h}}{σ_{L}} = 2$

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