Physics Elasticity Question 77

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

[CPMT 1983, 84]

Options:

A) $ Y^{2} $

B) Y

C) 1/Y

D) $ 1/Y^{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

Depression in beam$ \delta =\frac{WL^{3}}{4Ybd^{3}} $ $ \delta \propto \frac{1}{Y} $