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Strength of Materials

Stresses in Thin Cylinders

A thin cylind...

Question

A thin cylindrical vessel of mean diameter D and of length 'L' closed at both ends is subjected to a water pressure 'p'. The value of hoop stress and longitudinal stress in the shell shall be respectively

A

\frac{p D}{2 t}, \frac{p D}{4 t}

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B

\frac{p D}{2 t}, \frac{p D}{8 t}

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C

\frac{p D}{8 t}, \frac{p D}{8 t}

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D

\frac{p D}{t}, \frac{p D}{2 t}

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Solution

The correct option is A $\frac{p D}{2 t}, \frac{p D}{4 t}$
$\frac{p D}{2 t}, \frac{p D}{4 t}$
(Standard result)

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