Question

If a beam of metal supported at the two ends is loaded at the centre, then the depression at the centre will be proportional to

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

Answer 1

Answer: (C)

$\frac{1}{\gamma }$

For beam fixed at the ends and loaded at the centre, the depression of beam at the centre point is inversely proporional to its Young's modulus i.e., $t\delta \propto \frac{1}{\gamma }$