First slide

Elastic behaviour of solids

Question

The force (F)-extension $(Δl)$ , graph shows that the strain energy stored in the material under test, for an extension of 4 mm, is greater than which of the following values?

Moderate

A

80 mJ
B

60 mJ
C

40 mJ
D

None of these

Solution

Area under the curve represents strain energy stored and it is greater than 40 mJ.
Area under curve (straight line)
$\begin{array}{l} = \frac{1}{2} \cdot F \cdot Δl \\ = \frac{1}{2} \cdot (20) \cdot (4 \times 10^{- 3}) J = 40 mJ \end{array}$

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