Question

According to maximum shear stress failure theory, yielding occurs in the material when

• A. max. shear stress = yield stress
• B. max. shear stress = 2 times yield stress
• C. max. shear stress = 1/2 of yield stress
• D. max. shear stress = $\sqrt{2}$ times yield stress

Answer 1

The correct option is C max. shear stress = 1/2 of yield stress

According to maximum shear stress failure theory, for no failure maximum shear stress developed should be less than or equal to maximum shear stress at yield point in uniaxial loading.

${\tau }_{max}\le \frac{{\sigma }_y}{2}$

$\Rightarrow$ Maximum shear stress = 1/2 of yield stress.