SSC JE Mechanical Engineering 2013 Paper

Question : 130 of 200

Marks: +1, -0

The cross-section of a member is subjected to a uniform shear stress τ . The strain energy stored per unit volume is equal to (G = modulus of rigidity)

${2τ ^ 2} /G$
$τ ^2 /G$
$τ ^2/ {2G }$
${2G } /τ ^2$

Validate

Solution:

Strain energy per unit volume

=1/2\Stress ×\Strain

=τ ^2/ {2G } (\shear \stress τ = Gr)

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