Fora body subjected to direct stresses $$\sigma x, \sigma y$$ and $$\sigma z$$ the direct strain $$ε_x$$ in x direction is (where E and $$\gamma$$ are Young’s Modulus and Poisson’s ratio respectively)

A

$$ε_x = \frac{1}{E}\left\{\sigma x + \gamma(\sigma y - \sigma z)\right\}$$

B

$$ε_x = \frac{1}{E}\left\{\sigma x - \gamma(\sigma y + \sigma z)\right\}$$

C

$$ε_x = \frac{1}{E}\left\{\sigma x - \gamma(\sigma y - \sigma z)\right\}$$

D

$$ε_x = \frac{1}{E}\left\{\sigma x + \gamma(\sigma y + \sigma z)\right\}$$