고체역학 (Gere) — Analysis of Stress and Strain: Problem 7.3-18

7.3-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses \(\sigma_x\), \(\sigma_y\), and \(\tau_{xy}\). (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 \(\sigma_x = 2150 \text{ kPa}\), \(\sigma_y = 375 \text{ kPa}\), \(\tau_{xy} = -460 \text{ kPa}\)