a) Figure Q5 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segment BC. The shaft is fixed at C and is subjected to two external torques TA and TB at points A and B, respectively. The torque developed at the fixed end C is 750 kN.m in the direction as indicated in the figure. i) Determine the values of TA and TB if the corresponding angle of twist of end A is zero. ii) Calculate the maximum shear stress developed in the shaft. Give your comment whether the shaft will fail or not if the allowable shear stress of the shaft is 75 MPa. 750 kN.m 1.4 m 0.8 m C 160 mm B Тв 200 mm- ΤΑ Section a-a Figure Q5 = [Ans: a) i) T 332 kN.m, TB=1082 kN.m, ii) TCB,max = 60 MPa, TBA,max=45 MPa]

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...
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a) Figure Q5 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a
solid segment BC. The shaft is fixed at C and is subjected to two external torques TA
and TB at points A and B, respectively. The torque developed at the fixed end C is 750
kN.m in the direction as indicated in the figure.
i) Determine the values of TA and TB if the corresponding angle of twist of end A is
zero.
ii) Calculate the maximum shear stress developed in the shaft. Give your comment
whether the shaft will fail or not if the allowable shear stress of the shaft is 75
MPa.
750 kN.m
1.4 m
0.8 m
C
160 mm
B
Тв
200 mm-
ΤΑ
Section a-a
Figure Q5
=
[Ans: a) i) T 332 kN.m, TB=1082 kN.m, ii) TCB,max
= 60 MPa, TBA,max=45 MPa]
Transcribed Image Text:a) Figure Q5 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segment BC. The shaft is fixed at C and is subjected to two external torques TA and TB at points A and B, respectively. The torque developed at the fixed end C is 750 kN.m in the direction as indicated in the figure. i) Determine the values of TA and TB if the corresponding angle of twist of end A is zero. ii) Calculate the maximum shear stress developed in the shaft. Give your comment whether the shaft will fail or not if the allowable shear stress of the shaft is 75 MPa. 750 kN.m 1.4 m 0.8 m C 160 mm B Тв 200 mm- ΤΑ Section a-a Figure Q5 = [Ans: a) i) T 332 kN.m, TB=1082 kN.m, ii) TCB,max = 60 MPa, TBA,max=45 MPa]
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