고체역학 (Beer) — Transformations of Stress and Strain: Problem 7.81

7.81 The state of plane stress shown occurs in a machine component made of a steel with \(\sigma_Y = 325 \text{ MPa}\). Using the maximum-distortion-energy criterion, determine whether yield will occur when (a) \(\sigma_0 = 200 \text{ MPa}\), (b) \(\sigma_0 = 240 \text{ MPa}\), (c) \(\sigma_0 = 280 \text{ MPa}\). If yield does not occur, determine the corresponding factor of safety.