According to the von Mises yield criterion, yielding under a multi-axial state of stress begins when the octahedral shear stress reaches:

(A) $\frac{\sqrt{2}}{3} \sigma_y$

(B) $\frac{1}{2} \sigma_y$

(C) $\sigma_y$

(D) $2 \sigma_y$

Answer Key:

A

### Solution: In terms of uniaxial yield strength $\sigma_y$, von Mises criterion states yielding occurs when octahedral shear stress $\tau_{oct} = \frac{\sqrt{2}}{3} \sigma_y$. Correct: A.

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