A short column of external diameter D and internal diameter d is subjected to a compressive load P acting with an eccentricity ‘e’. If the stresses at one of the extreme fiber is zero then the eccentricity has to be

A

$$\frac{D^{2}+d^{2}}{8 \pi D}$$

B

$$\frac{D^{2}+d^{2}}{8 D}$$

C

$$\frac{D^{2}-d^{2}}{8 D}$$

D

$$\frac{D^{3}+d^{3}}{8 D^{2}}$$