A bar of length l, breadth b and depth d is supported at its ends and is loaded at the centre by a load W. If Y is the Young's modulus of the material of the bar, then the depression `delta` at the centre is :

Options

A. `(Wl^(3))/(4bd^(3)Y)`
B. `(Wb^(3))/(4dl^(3)Y)`
C. `(Wd^(3))/(4lb^(3)Y)`
D. `(Wl^(3))/(bd^(3)Y)`

Answer

A

Explanation

A bar of length l, breadth b, and depth d when loaded at the centre by a load W sags by an amount given by
`delta=(Wl^(3))/(4bd^(3)Y)`
Thus correct choice is (a).