고체역학 (Gere) — Applications of Plane Stress: Problem 8.2-7

8.2-7 (a) Solve part (a) of the preceding problem if the pressure is 100 kPa, the diameter is 250 mm, the wall thickness is 1.5 mm, the modulus of elasticity is 3.5 MPa, and Poisson’s ratio is 0.45. (b) If the strain must be limited to 0.85, find the maximum acceptable inflation pressure. [Context from preceding problem 8.2-6]: 8.2-6 A rubber ball (see figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity $E = 3.7$ MPa and Poisson’s ratio $\nu = 0.48$. (a) Determine the maximum stress and strain in the ball.