Two simply supported beam A and B has the same length L and subjected to equal bending moment M. the stress induced in the beam A and B are $$\sigma_{A} and \sigma_{B}$$
respectively. If the cross section of beam A is b x b/2 and that of beam B is $$\frac{b}{2} \times b$$, then correct relation between $$\sigma_{A} and \sigma_{B} $$is

A

$$\sigma_{A} = 2\sigma_{B}$$

B

$$\sigma_{A} = \frac{\sigma_{B}}{2}$$

C

$$\sigma_{A} = \frac{\sigma_{B}}{4}$$

D

$$\sigma_{A} = \sigma_{B}$$