고체역학 (Gere) — Applications of Plane Stress: Problem 8.2-2

8.2-2 A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is 0.1. Assume \( E = 4 \text{ MPa} \) and \( \nu = 0.45 \).