Question

A horizontal rod is supported at both ends and loaded at the middle. It L and Y are length and Young's modulus respectively, then depression at the middle is directly proportional to

• A. L
• B. $L^2$
• C. Y
• D. $\frac{1}{Y}$

Answer 1

Answer: (A)

L

$\begin{array}{c}\text{Depression}\delta =\frac{W{L}^3}{4b{d}^{3}y}\\ \therefore \delta \alpha L\end{array}$

Hence option A is correct