고체역학 (Beer) — Stress and Strain—Axial Loading: Problem 2.92

*2.92 The composite cube of Prob. 2.91 is constrained against deformation in the \(z\) direction and elongated in the \(x\) direction by 0.035 mm due to a tensile load in the \(x\) direction. Determine (a) the stresses \(\sigma_x\), \(\sigma_y\), and \(\sigma_z\) and (b) the change in the dimension in the \(y\) direction. From Prob. 2.91: A composite cube with 40-mm sides and the properties shown is made with glass polymer fibers aligned in the \(x\) direction. The properties are: \(E_x = 50\text{ GPa}\), \(E_y = 15.2\text{ GPa}\), \(E_z = 15.2\text{ GPa}\) \(\nu_{xz} = 0.254\), \(\nu_{xy} = 0.254\), \(\nu_{zy} = 0.428\)