An elastic material with Young's modulus 'Y' is subjected to a tensile stress ' $\mathrm{S}$ '. The elastic…
An elastic material with Young's modulus 'Y' is subjected to a tensile stress ' $\mathrm{S}$ '. The
elastic energy stored per unit volume of the material will be
$\frac{s^{2}}{Y}$
$\frac{s}{2 Y}$
$\frac{Y S}{2}$
$\frac{S}{2 Y}$
Solution
The elastic energy stored per unit volume of a material under tensile stress is given by the formula:
$U=\frac{1}{2} \cdot \frac{\sigma^2}{Y}$
Where:
- $U$ is the elastic energy stored per unit volume,
- $\sigma$ is the tensile stress,
- $Y$ is Young's modulus of the material.
From the given options, Answer: (2) is correct, as it reflects the formula for elastic energy stored per unit volume.