Question 6 of 118

The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of $5\times {10}^{-4}$ is _____ $kJ{m}^{-3}$. Assume that material is elastic upto the linear strain of $5\times {10}^{-4}$,

Your answerCheck answer

Show answer and solution▾

Answer: 25

From the above graph, we can find that when the strain is $5\times {10}^{-4}$ the stress is $100MPa$. We know that energy density is
$U=\dfrac{1}{2}\times stress\times strain$$\Rightarrow U=\dfrac{1}{2}\times 100\times {10}^{6}\times 5\times {10}^{-4}$
$\Rightarrow U=2.5\times {10}^{4}J{m}^{-3}=25kJ{m}^{-3}$