A simply supported beam with width ‘b’ and. depth ‘d’ carries a central load W and undergoes deflection $$\delta$$ at the centre. If the width and depth are interchanged, the deflection at the centre of the beam would attain the value:

A

$$\frac{d}{b}\delta$$

B

$$\left(\frac{d}{b}\right)^2\delta$$

C

$$\left(\frac{d}{b}\right)^3\delta$$

D

$$\left(\frac{d}{b}\right)^{\frac {3}{2}}\delta$$