question_answer

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]

A)                 \[{{Y}^{2}}\]     

B)                 Y

C)                 1/Y

D)                 \[1/{{Y}^{2}}\]

Correct Answer: C

Solution :

     Depression in beam        \[\delta =\frac{W{{L}^{3}}}{4Yb{{d}^{3}}}\] \\[\delta \propto \frac{1}{Y}\]