A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an allowable shear stress of 59 MPa. Segment (2) is a solid aluminum shaft with an allowable shear stress of 84 MPa. If a torque of Tc = 29400 N-m is applied at C, determine the minimum required diameter of the brass shaft d₁ and the aluminum shaft d₂.

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 3.7.12P
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A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an allowable shear
stress of 59 MPa. Segment (2) is a solid aluminum shaft with an allowable shear stress of 84 MPa. If a torque of Tc=29400 N-m is
applied at C, determine the minimum required diameter of the brass shaft d₁ and the aluminum shaft d2.
Tc
Answers:
d₁ =
d₂ =
i
(2)
B
A
mm
mm
Transcribed Image Text:A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an allowable shear stress of 59 MPa. Segment (2) is a solid aluminum shaft with an allowable shear stress of 84 MPa. If a torque of Tc=29400 N-m is applied at C, determine the minimum required diameter of the brass shaft d₁ and the aluminum shaft d2. Tc Answers: d₁ = d₂ = i (2) B A mm mm
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