Question

The ${}^{\prime }{\sigma }^{\prime }$ of a material is 0.20. If a longitudinal strain of $4.0\times {10}^{-3}$ is caused, by what percentage will the volume change -

• A. 0.48 %
• B. 0.32 %
• C. 0.24 %
• D. 0.50 %

Answer 1

Answer: (C)

0.24 %

$\begin{array}{c}\text{Longitudenal}\text{Strain}=4\times {10}^{-3}\\ \text{Lateral Strain}=\sigma \times 0.4\%\\ =0.08\%\end{array}$

$\begin{array}{cc}\text{Volumetric strain}& =\text{long}\text{itudinal Strain}-2\times \text{lateral Strain}\\ & =4\times {10}^{-3}-2\times 8\times {10}^{-4}\\ & =0.24\%\end{array}$