For the state of stress of pure shear τ, the strain energy stored per unit volume in the elastic, homogeneous, isotropic material having elastic constants – Young’s modulus, E and Poisson’s ratio v will be

\(\frac{{{\tau ^2}}}{{2E}}\left( {1 + v} \right)\)

\(\frac{{{\tau ^2}}}{{E}}\left( {1 + v} \right)\)

\(\frac{{{2\tau ^2}}}{{E}}\left( {1 + v} \right)\)

\(\frac{{{\tau ^2}}}{{2E}}\left( {2 + v} \right)\)

For the state of stress of pure shear τ, the strain energy stored per

1.	For the state of stress of pure shear τ, the strain energy stored per unit volume in the elastic, homogeneous, isotropic material having elastic constants – Young’s modulus, E and Poisson’s ratio v will be
A.	\(\frac{{{\tau ^2}}}{{E}}\left( {1 + v} \right)\)
B.	\(\frac{{{\tau ^2}}}{{2E}}\left( {1 + v} \right)\)
C.	\(\frac{{{2\tau ^2}}}{{E}}\left( {1 + v} \right)\)
D.	\(\frac{{{\tau ^2}}}{{2E}}\left( {2 + v} \right)\)
Answer» B. \(\frac{{{\tau ^2}}}{{2E}}\left( {1 + v} \right)\)

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For the state of stress of pure shear τ, the strain energy stored per unit volume in the elastic, homogeneous, isotropic material having elastic constants – Young’s modulus, E and Poisson’s ratio v will be

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