A rubber ball (see figure) is inflated to a pressureof 65 kPa. At that pressure, the diameter of theball is 240 mm and the wall thickness is 1.25 mm. Therubber has a modulus of elasticity E = 3.7 MPa andPoisson’s ratio v = 0.48.(a) Determine the maximum stress and strain inthe ball.(b) If the strain must be limited to 0.425, find theminimum required wall thickness of the ball.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.6P: A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of...
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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 v = 0.48.
(a) Determine the maximum stress and strain in
the ball.
(b) If the strain must be limited to 0.425, find the
minimum required wall thickness of the ball.

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