Question

If $\delta$ is the depression produced in a beam of length $L$, breadth $b$ and thickness $d$, when a load is placed at the mid point, then

• A. $\delta \propto L^{3}$
• B. $\delta \propto \frac{1}{b^{3}}$
• C. $\delta \propto \frac{1}{d}$
• D. All of these

Answer 1

Answer: (A)

Since we know
$\delta=\frac{W L^{3}}{4 Y b d^{3}}$
So we can say $\delta \propto L^{3}$