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 $5 \times {10}^{- 4}$ ,

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The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a

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Correct answer: B. 25

The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a

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

$U = \dfrac{1}{2} \times stress \times strain$ $⇒ U = \dfrac{1}{2} \times 100 \times {10}^{6} \times 5 \times {10}^{- 4}$

$⇒ U = 2 . 5 \times {10}^{4}J{m}^{- 3} = 25kJ{m}^{- 3}$

The elastic behaviour of material for linear stress and linear...

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