The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where $$\delta {\text{S}}$$ = Static deflection of simply supported shaft due to uniformly distributed load)

A. $$\frac{{0.4985}}{{\sqrt {\delta {\text{S}}} }}$$

B. $$\frac{{0.5615}}{{\sqrt {\delta {\text{S}}} }}$$

C. $$\frac{{0.571}}{{\sqrt {\delta {\text{S}}} }}$$

D. $$\frac{{0.6253}}{{\sqrt {\delta {\text{S}}} }}$$

Answer: Option B