The torsional assembly shown in figure below consists of a solid bronze (G aluminum alloy (G 45 GPa) shaft CD and a hollow , = 28 GPa) shaft EF that has a steel (Gs = 80 GPa) core. The ends C and F are fixed to rigid walls, and the steel core of shaft EF is connected to the flange at E so that the aluminum and steel parts act as a unit. The two flanges D and E are bolted together, and the bolt clearance permits flange D to rotate through 0.03 rad before EF carries any of the load. Determine the maximum shearing stress in each of the shaft materials when the torque T = 54 kN-m is applied to flange D. Hint: Answer: Shear stress of aluminium, bronze and steel are 52.9 MPa, 100.0 MPa and 75.6 MPa, respectively Bronze T-54 kN-m D Alum. allo `2 m Steel (a) 1.4 m 120 mm 120 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.4.23P: A trimetallic bar is uniformly compressed by an axial force P = 9 kips applied through a rigid end...
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The torsional assembly shown in figure below consists of a
solid bronze (G,
= 45 GPa) shaft CD and a hollow
aluminum alloy (G, = 28 GPa) shaft EF that has a steel (Gs
= 80 GPa) core. The ends C and F are fixed to rigid walls,
and the steel core of shaft EF is connected to the flange at E
so that the aluminum and steel parts act as a unit. The two
flanges D and E are bolted together, and the bolt clearance
permits flange D to rotate through 0.03 rad before EF
carries any of the load. Determine the maximum shearing
stress in each of the shaft materials when the torque T = 54
kN-m is applied to flange D. Hint:
Answer: Shear stress of aluminium, bronze and steel are
52.9 MPа, 100.0 MPа and 75.6 MPа, respectively
Bronze
T- 54 kN-m
D
-Alum. allo
2 m
Steel
(a)
1.4 m
120 mm
120 mm
unu 09
Transcribed Image Text:The torsional assembly shown in figure below consists of a solid bronze (G, = 45 GPa) shaft CD and a hollow aluminum alloy (G, = 28 GPa) shaft EF that has a steel (Gs = 80 GPa) core. The ends C and F are fixed to rigid walls, and the steel core of shaft EF is connected to the flange at E so that the aluminum and steel parts act as a unit. The two flanges D and E are bolted together, and the bolt clearance permits flange D to rotate through 0.03 rad before EF carries any of the load. Determine the maximum shearing stress in each of the shaft materials when the torque T = 54 kN-m is applied to flange D. Hint: Answer: Shear stress of aluminium, bronze and steel are 52.9 MPа, 100.0 MPа and 75.6 MPа, respectively Bronze T- 54 kN-m D -Alum. allo 2 m Steel (a) 1.4 m 120 mm 120 mm unu 09
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