Solve A shaft of length L is made of two materials,one in the inner core and the other in theouter rim, and the two are perfectly joinedtogether (no slip at the interface) along theentire length of the shaft. The diameter of theinner core is di and the external diameter ofthe rim is do, as shown in the figure. Themodulus of rigidity of the core and rimmaterials are G₁ and Go, respectively. It isgiven that do = 2di and G₁ = 3Go. When theshaft is twisted by application of a torquealong the shaft axis, the maximum shearstress developed in the outer rim and theinner core turn out to be To and Ti,respectively. All the deformations are in theelastic range and stress strain relations arelinear. Then the ratio Ti /To isShaft cross-section

Given, Determine the ratio of max. shear stress ? Shaft length L is made of two materials, 1. inner…

Answered: Then the ratio τί το

Engineering

Mechanical Engineering

Then the ratio τί το

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Solve

A shaft of length L is made of two materials,
one in the inner core and the other in the
outer rim, and the two are perfectly joined
together (no slip at the interface) along the
entire length of the shaft. The diameter of the
inner core is di and the external diameter of
the rim is do, as shown in the figure. The
modulus of rigidity of the core and rim
materials are G₁ and Go, respectively. It is
given that do = 2di and G₁ = 3Go. When the
shaft is twisted by application of a torque
along the shaft axis, the maximum shear
stress developed in the outer rim and the
inner core turn out to be To and Ti,
respectively. All the deformations are in the
elastic range and stress strain relations are
linear. Then the ratio Ti /To is
Shaft cross-section

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