The state of stress at a point in a body under plane stress condition is shown in the figure. The positive directions of x and y axes are also shown. The material of the body is homogeneous and isotropic, with modulus of elasticity E and Poisson’s ratio ν. The longitudinal strain in the x-direction is

• A. \(\frac{\sigma_x}{E}-\nu\frac{\sigma_y}{E}\)
• B. \(-\frac{\sigma_x}{E}-\nu\frac{\sigma_y}{E}\)
• C. \(\frac{\sigma_x}{E}+\nu\frac{\sigma_y}{E}\)
• D. \(-\frac{\sigma_x}{E}+\nu\frac{\sigma_y}{E}\)