First slide

Elastic Modulie

Question

A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is

Moderate

A

0.01
B

0.06
C

0.02
D

0.03

Solution

If side of the cube is L then $V = L^{3} \Rightarrow \frac{dV}{V} = 3 \frac{dL}{L}$
$\begin{array}{l} ∴ % change in volume = 3 \times (% change in lengh) \\ = 3 \times 1 % = 3 % \\ ∴ Bulk strain \frac{ΔV}{V} = 0 .03 . \end{array}$

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