The steel shaft of diameter D is cemented to the thin rubber sleeve of thickness t and length L. The outer surface of the sleeve is bonded to a rigid support. When the axial load P is applied, show that the axial displacement of the shaft is d ¼ Pt=ðpGDLÞ, where G is the shear modulus of rubber. Assume that t<<D. 2.42 The steel shaft of diameter D is cemented to the thin rubber sleeve of thick-ness t and length L. The outer surface of the sleeve is bonded to a rigid support.When the axial load P is applied, show that the axial displacement of the shaft is5 = Pt/(rGDL), where G is the shear modulus of rubber. Assume that i « D. L+D→ tFIG. P2.42, P2.43

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Answered: 2.42 The steel shaft of diameter D is…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The steel shaft of diameter D is cemented to the thin rubber sleeve of thickness t and length L. The outer surface of the sleeve is bonded to a rigid support.
When the axial load P is applied, show that the axial displacement of the shaft is
d ¼ Pt=ðpGDLÞ, where G is the shear modulus of rubber. Assume that t<<D.

2.42 The steel shaft of diameter D is cemented to the thin rubber sleeve of thick-
ness t and length L. The outer surface of the sleeve is bonded to a rigid support.
When the axial load P is applied, show that the axial displacement of the shaft is
5 = Pt/(rGDL), where G is the shear modulus of rubber. Assume that i « D.

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