Section: Solid Mechanics | Marks: 2
In a two-dimensional state of stress at a point, the maximum shear strain is found to be $\gamma_{\max} = 500\text{ }\mu\text{m/m}$. The sum of the normal stresses on two perpendicular planes at that point is $40\text{ MPa}$. (Young's Modulus $E = 200\text{ GPa}$; Modulus of rigidity $G = 80\text{ GPa}$; Poisson's ratio $\nu = 0.25$). The principal stresses at the point are
- A. $\sigma_1 = 20\text{ MPa}$ and $\sigma_2 = 20\text{ MPa}$
- B. $\sigma_1 = 60\text{ MPa}$ and $\sigma_2 = -20\text{ MPa}$
- C. $\sigma_1 = 50\text{ MPa}$ and $\sigma_2 = -10\text{ MPa}$
- D. $\sigma_1 = 80\text{ MPa}$ and $\sigma_2 = -40\text{ MPa}$