Question

A rectangular block of size $200mm\times 100mm\times 50mm$ is subjected to a shear stress of $500kg/c{m}^2$. If the modulus of rigidity of the material is $1\times {10}^{6}kg/c{m}^2$, the strain energy stored will be

• A. $1000kg-cm$
• B. $500kg-cm$
• C. $125kg-cm$
• D. $100kg-cm$

Answer 1

The correct option is C $125kg-cm$

$Strainenergystored=\frac{{\tau }^{2}V}{2G}$

$=\frac{(500{)}^2}{2\times {10}^6}\times 20\times 10\times 5$

$=125kg-cm$