If normal stresses due to longitudinal and transverse loads on a bar are $$\sigma_0$$ and $$\sigma_2$$respectively, the normal component of the stress on an inclined plane $$ \theta _0 $$ to the longitudinal load is

A

$$\sigma_1 sin\theta+\sigma_2 cos\theta$$

B

$$\sigma_1 sin^{2}\theta+\sigma_2 cos^{2}\theta$$

C

$$(\sigma_1 -\sigma_2) Sin 2\theta/2 $$

D

$$(\sigma_1 +\sigma_2) Sin 2\theta/2 $$