657_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

657_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 8.2 Spherical Pressure Vessels 651 Problem 8.2-4 A rubber ball (see figure) is inflated to a pressure of 60 kPa. At that pressure the diameter of the ball is 230 mm and the wall thickness is 1.2 mm. The rubber has modulus of elasticity E 3.5 MPa and Poisson’s ratio v 0.45. Determine the maximum stress and strain in the ball. Prob. 8.2-4, 8.2-5 Solution 8.2-4 Rubber ball C ROSS - SECTION M AXIMUM STRESS ( EQ . 8-1) M AXIMUM STRAIN (E Q . 8-4) 0.452 ; â max pr 2 tE (1 v ) (60 kPa)(115 mm) 2(1.2 mm)(3.5 MPa) (0.55) 2.88 MPa ; s max pr 2 t (60 kPa)(115 mm) 2(1.2 mm) Radius: r (230 mm)/2 115 mm Internal pressure: p 60 kPa Wall thickness: t 1.2 mm Modulus of elasticity: E 3.5 MPa (rubber) Poisson’s ratio: v 0.45 (rubber) Problem 8.2-5
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