SSC JE Civil Engineering 2012 Solved Paper

Maximum energy stored in a body upto elastic limit is known as proof resilience.
Strain energy stored in a bar = Work done by load
$\mathit{U}=\frac{1}{2}\times \left(\mathit{W}.\mathrm{\Delta }\right)$ $=\left(\frac{1}{2}\right)\times \left(\mathit{\sigma }.\mathit{A}\right)\times \left(\frac{\mathit{\sigma }\mathit{l}}{\mathit{E}}\right)$
Modulus of resilience
Modulus of resilience $=\left(\frac{{\mathit{\sigma }}^2\mathit{V}}{2\mathit{E}}\right)\times \left(\frac{1}{\mathit{V}}\right)$ $=\frac{{\mathit{\sigma }}^2}{2\mathit{E}}$