고체역학 (Gere) — Analysis of Stress and Strain: Problem 7.2-24

7.2-24 The surface of an airplane wing is subjected to plane stress with normal stresses \(\sigma_x\) and \(\sigma_y\) and shear stress \(\tau_{xy}\), as shown in the figure. At a counterclockwise angle \(\theta = 32^\circ\) from the \(x\) axis, the normal stress is 29 MPa in tension, and at an angle \(\theta = 46^\circ\), it is 17 MPa in compression. If the stress \(\sigma_x\) equals 105 MPa in tension, what are the stresses \(\sigma_y\) and \(\tau_{xy}\)?