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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 linear strain of <img alt="5 \times 10^{-4}\: \: is" src="https://entrancecor

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________\mathrm{kJ} / \mathrm{m}^{3}. Assume that material is elastic upto the linear strain of 5 \times 10^{-4}.

Option: 1

25


Option: 2

--


Option: 3

-


Option: 4

-


Answers (1)

\mathrm{Energy\: density= \frac{1}{2}\times stress\times strain }
                                 \mathrm{= \frac{1}{2}\left ( strain \right )^{2}\gamma }
\mathrm{\because slope\: of\: graph= \frac{1}{\gamma }= \frac{10^{-10}}{20} }
\mathrm{\therefore \; Y= 20\times 10^{+10} }

\mathrm{Energy\: density= \frac{1}{2}\times \left ( 5\times 10^{-4} \right )^{2}\times \left ( 20\times 10^{10} \right )}
                                  \mathrm{= 250\times 10^{2}}
\mathrm{Energy\, density= 25\, \frac{kJ}{m^{3}}}

Posted by

Sumit Saini

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