A beam of metal supported at the two ends is loaded at tlie... | Physics | SolveeIt | Solveeit

Today, August 18

Question

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

A

${{Y}^{2}}$

B

$Y$

C

$\frac{1}{Y}$

D

$\frac{1}{{{Y}^{2}}}$

Answer

$\frac{1}{Y}$

Explanation

Solution

Depression in the beam at the middle due to load W is $\delta =\frac{W{{l}^{3}}}{4Yb{{d}^{3}}},$ or $\delta \propto \frac{1}{Y}$