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Strength of Materials

Strength of Shafts in Torsion

A solid circu...

Question

A solid circular shaft of diameter 'd' is subjected to a twisting moment T. The maximum shear stress in the shaft is proportional to

A

d^{2}

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B

d^{2}

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C

1 / d^{2}

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D

1 / d^{3}

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Solution

The correct option is D $1 / d^{3}$
$f_{s} = \frac{16 T}{π d^{3}}$

$S o m a x i m u m s h e a r s t r a s s (f_{s}) i s p r o p o r t i o n a l t o \frac{1}{d^{3}}$ .

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