A shaft ABCD is shown in Figure 3 with total length, L = 2.1 m. The shaft BC is hollow with inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and CD are solid with diameter d. Given the torque at A, B, C and D is 6 kNm, 14 kNm, 26 kNm and 6 kNm, respectively. a) Determine the maximum and minimum shearing stress in shaft BC. b) Calculate the required diameter, d of shafts AB and CD if the allowable shearing stress in these shafts is 65 MPa.

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 shaft ABCD is shown in Figure 3 with total length, L = 2.1 m. The shaft BC is hollow
with inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and CD
are solid with diameter d. Given the torque at A, B, C and D is 6 kNm, 14 kNm, 26 kNm
and 6 kNm, respectively.
a) Determine the maximum and minimum shearing stress in shaft BC.

b) Calculate the required diameter, d of shafts AB and CD if the allowable shearing
stress in these shafts is 65 MPa.

A shaft ABCD is shown in Figure 3 with total length, L = 2.1 m. The shaft BC is hollow
with inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and CD
are solid with diameter d. Given the torque at A, B, C and D is 6 kNm, 14 kNm, 26 kNm
and 6 kNm, respectively.
a) Determine the maximum and minimum shearing stress in shaft BC.
b) Calculate the required diameter, d of shafts AB and CD if the allowable shearing
stress in these shafts is 65 MPa.
0.9 m
0.7 m
0.5 m
A
|120 mm
ld
TA = 6 kN-m
В
Tg = 14 kN-m
C
D
Tc= 26 kN-m
Tp = 6 kN-m
Figure 3
Transcribed Image Text:A shaft ABCD is shown in Figure 3 with total length, L = 2.1 m. The shaft BC is hollow with inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and CD are solid with diameter d. Given the torque at A, B, C and D is 6 kNm, 14 kNm, 26 kNm and 6 kNm, respectively. a) Determine the maximum and minimum shearing stress in shaft BC. b) Calculate the required diameter, d of shafts AB and CD if the allowable shearing stress in these shafts is 65 MPa. 0.9 m 0.7 m 0.5 m A |120 mm ld TA = 6 kN-m В Tg = 14 kN-m C D Tc= 26 kN-m Tp = 6 kN-m Figure 3
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