Question: The ‘σ’ of a material is 0.20. If a longitudinal strain of $4.0 \times 10^{- 3}$ is caused, by wha...

Question

The ‘σ’ 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

Answer 1

Longitudinal strain $= 4 \times 10^{- 3}$ or 0.4%

Lateral strain $= \sigma \times 0.4\% = 0.2 \times 0.4\% = 0.08\%$

$\therefore$ Volumetric strain = longitudinal strain – 2 lateral strain $= 0.4 - 2 \times (0.08)$ = 0.24%

$\therefore$ Volume will change by 0.24%.

Question: The ‘σ’ of a material is 0.20. If a longitudinal strain of \(4.0 \times 10^{- 3}\) is caused, by wha...