A shaft has a diameter of 45.08 mm and is an interference fit with a sleeve 60 mm outer, 45 mm inner 45 mm inner diameters and 80 mm long. Calculate: i. The force needed to slide the sleeve on the shaft, and ii. the change in radius of the shaft and sleeve at the inside. Assume the elastic properties for both are the same with Young's modulus of elasticity as 200 GPa and Poisson's ratio of 0.3.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.3.11P: A circular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure)....
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A shaft has a diameter of 45.08 mm and is an interference fit with a sleeve 60 mm outer, 45 mm inner 45 mm inner diameters and 80 mm long.

Calculate:

i. The force needed to slide the sleeve on the shaft, and

ii. the change in radius of the shaft and sleeve at the inside.

Assume the elastic properties for both are the same with Young's modulus of elasticity as 200 GPa and Poisson's ratio of 0.3.

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