고체역학 (Gere) — Applications of Plane Stress: Problem 8.3-7

8.3-7 A strain gage is installed in the longitudinal direction on the surface of an aluminum beverage can (see figure). The radius-to-thickness ratio of the can is 200. When the lid of the can is popped open, the strain changes by \(\epsilon_0 = 170 \times 10^{-6}\). (a) What was the internal pressure \(p\) in the can? (Assume \(E = 70 \text{ GPa}\) and \(\nu = 0.33\).) (b) What is the change in strain in the radial direction when the lid is opened?