Prob. 4.3-1. A bimetallic torsion bar consists of a steel core (G, = 75 GPa) of diameter d bonded a titanium sleeve (G, = 45 GPa) of inner diameter d; = 25 mm and outer diameter d, = 40 mm. (a) If the max- imum shear stress in the steel is 50 MPa, what is the total ; = 25 mm around which is torque, T, applied to the bimetallic bar? (b) What is the total twist angle of the composite bar if it is 2 m long? d, = 40 mm d; = 25 mm T L= 2 m P4.3-1

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 3.3.16P: Solve the preceding problem if the shaft has an outer diameter d2=150 mm and inner diameter d1= 100...
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PROBLEM 4.3-1

Prob. 4.3-1. A bimetallic torsion bar consists of a steel core
(G, = 75 GPa) of diameter d; = 25 mm around which is
bonded a titanium sleeve (G, = 45 GPa) of inner diameter
d; = 25 mm and outer diameter d, = 40 mm. (a) If the max-
imum shear stress in the steel is 50 MPa, what is the total
torque, T, applied to the bimetallic bar? (b) What is the total
twist angle of the composite bar if it is 2 m long?
d, = 40 mm
d; = 25 mm
T
L = 2 m
P4.3-1
Transcribed Image Text:Prob. 4.3-1. A bimetallic torsion bar consists of a steel core (G, = 75 GPa) of diameter d; = 25 mm around which is bonded a titanium sleeve (G, = 45 GPa) of inner diameter d; = 25 mm and outer diameter d, = 40 mm. (a) If the max- imum shear stress in the steel is 50 MPa, what is the total torque, T, applied to the bimetallic bar? (b) What is the total twist angle of the composite bar if it is 2 m long? d, = 40 mm d; = 25 mm T L = 2 m P4.3-1
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