고체역학 (Beer) — Transformations of Stress and Strain: Problem 7.84

7.84 Solve Prob. 7.83, using the maximum-shearing-stress criterion. (Reference Problem 7.83: The state of plane stress shown occurs in a machine component made of a steel with \(\sigma_Y = 36 \text{ ksi}\). Using the maximum-distortion-energy criterion, determine whether yield will occur when (a) \(\tau_{xy} = 15 \text{ ksi}\), (b) \(\tau_{xy} = 18 \text{ ksi}\), (c) \(\tau_{xy} = 21 \text{ ksi}\). If yield does not occur, determine the corresponding factor of safety.)