Question

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

• A. $25kJ/m^3$
• B. 25.0
• C. 25

Answer 1

Answer: (A), (B), (C)

$U_d=\frac{1}{2}\times Y\times (strain{)}^2$

$=\frac{1}{2}\times \left(\frac{20}{{10}^{-10}}\right)\times (5\times {10}^{-4}{)}^2$

$={10}^{11}\times 25\times {10}^{-8}$

$=25\times {10}^3$

$=25kJ/m^3$