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Strength of Materials

Stresses in Thin Cylinders

Two closed th...

Question

Two closed thin vessels, one cylindrical and the other spherical with equal internal diameter and wall thickness are subjected to equal internal fluid pressure. The ratio of hoop stresses in the cylindrical to that of spherical vessel is

A

4.0

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B

2.0

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C

1.0

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D

0.5

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Solution

The correct option is B 2.0
$H o o p s t r e s s f o r c y l i n d r i c a l s h e l l = \frac{p d}{2 t}$
$H o o p s t r e s s f o r s p h e r i c a l s h e l l = \frac{p d}{4 t}$

So the ratio of hoop stress in the cylindrical to that of speherical shell is $2$ .

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