The curvature at any point $$\frac{1}{R}$$ along the curve representing the deformed shape of a beam is given by

A

$$\pm \frac{(\frac{dy}{dx})}{[1+\frac{d^{2}Y}{dx^{2}}]^{\frac{1}{2}}}$$

B

$$\pm \frac{(\frac{d^{2}y}{dx^{2}})}{[1+\frac{dY}{dx}]^{\frac{3}{2}}}$$

C

$$\pm \frac{(\frac{d^{2}y}{dx^{2}})}{[1+\frac{d^{2}y}{dx^{2}}]^{\frac{1}{2}}}$$

D

$$\pm \frac{(\frac{dy}{dx^{2}})}{[1+\frac{d^{2}Y}{dx^{2}}]^{2}}$$