question_answer

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

A)   \[{{Y}^{2}}\]

B) Y   

C) 1/Y

D) \[1/{{Y}^{2}}\]

Correct Answer: C

Solution :

[c] For a beam, the depression at the centre is given by, \[\delta =\left( \frac{fL}{4Yb{{d}^{3}}} \right)\] [f, L, b, d are constants for a particular beam] i.e. \[\delta \propto \frac{1}{Y}\]