고체역학 (Beer) — Transformations of Stress and Strain: Problem 7.93

7.93 The state of plane stress shown will occur at a critical point in an aluminum casting that is made of an alloy for which \(\sigma_{UT} = 10 \text{ ksi}\) and \(\sigma_{UC} = 25 \text{ ksi}\). Using Mohr’s criterion, determine the shearing stress \(\tau_0\) for which failure should be expected.