고체역학 (Gere) — Analysis of Stress and Strain: Problem 7.2-1

7.2-1 The stresses on the bottom surface of a fuel tanker (figure part a) are known to be \(\sigma_x = 50 \text{ MPa}\), \(\sigma_y = 8 \text{ MPa}\), and \(\tau_{xy} = 6.5 \text{ MPa}\) (figure part b). Determine the stresses acting on an element oriented at an angle \(\theta = 52^\circ\) from the \(x\) axis, where the angle \(\theta\) is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle \(\theta\).