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
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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
Transcribed Image Text: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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