Question

In designing a beam for its use to-support a load, the depression at the centre (where, Y is Young’s modulus) is proportional to:

(a) Y²

(b) Y

(c) 1/Y

(d) 1/Y²

Answer 1

Correct option is : (c) 1/Y

(c) Depression, \(\delta = \frac{Wl^3}{4Ybd^3}\)

⇒ \(\delta\) ∝ \(\frac{1}{Y}\)