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Strength of Materials

Strain Energy due to Torsion

Strain energy...

Question

Strain energy in torsion of a shaft per unit volume is given by (q is maximum shear stress, E-modulus of Elasticity and G is modulus of rigidity)

A

\frac{q^{2}}{2 G}

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B

\frac{q^{2}}{2 E}

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C

\frac{q^{2}}{4 G}

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D

\frac{q^{2}}{4 E}

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Solution

The correct option is C $\frac{q^{2}}{4 G}$
Strain energy per unit volume for solid shaft

$= \frac{q_{m a x}^{2}}{4 G}$

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