First slide

Elastic behaviour of solids

Question

A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to

Moderate

A

Y²
B

Y
C

1/Y
D

1/Y²

Solution

Depression in beam
$\begin{array}{l} δ = \frac{{WL}^{3}}{4 {Ybd}^{3}} \\ ∴ δ \propto \frac{1}{Y} \end{array}$

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