The torsional assembly shown in figure below consists of a solid bronze (GB = 45 GPa) shaft C and a hollow aluminum alloy (GA = 28 GPa) shaft EF that has a steel (Gs = 80 GPa) core. The en C and F are fixed to rigid walls, and the steel core of shaft EF is connected to the flange at E that the aluminum and steel parts act as a unit. The two flanges D and E are bolted together, ar the bolt clearance permits flange D to rotate through 0.03 rad before EF carries any of the loa Determine the maximum shearing stress in each of the shaft materials when the torque T = 5 kN-m is applied to flange D. Hint: 0total = 0C/D + 0D/E + 8E/F = 0 Answer: Shear stress of aluminium, bronze and steel are 52.9 MPa, 100.0 MPa and 75.6 MPC respectively
The torsional assembly shown in figure below consists of a solid bronze (GB = 45 GPa) shaft C and a hollow aluminum alloy (GA = 28 GPa) shaft EF that has a steel (Gs = 80 GPa) core. The en C and F are fixed to rigid walls, and the steel core of shaft EF is connected to the flange at E that the aluminum and steel parts act as a unit. The two flanges D and E are bolted together, ar the bolt clearance permits flange D to rotate through 0.03 rad before EF carries any of the loa Determine the maximum shearing stress in each of the shaft materials when the torque T = 5 kN-m is applied to flange D. Hint: 0total = 0C/D + 0D/E + 8E/F = 0 Answer: Shear stress of aluminium, bronze and steel are 52.9 MPa, 100.0 MPa and 75.6 MPC respectively
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The torsional assembly shown in figure below consists of a solid bronze (Gg = 45 GPa) shaft CD
and a hollow aluminum alloy (GA = 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: Ototali = OC/D + D/E + 0E/F = 0
Answer: Shear stress of aluminium, bronze and steel are 52.9 MPa, 100.0 MPa and 75.6 MPa,
respectively
120 mm
2 m
Bronze
D
T= 54 kN-m
E
120 mm
Steel
60 mm
1.4 m
Alum, alloy
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F676e6d3a-e822-420a-8ef9-c3a16a22abcf%2F3f7ab863-70b0-4859-8a95-49f9246e97c6%2Fy1rwdce_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The torsional assembly shown in figure below consists of a solid bronze (Gg = 45 GPa) shaft CD
and a hollow aluminum alloy (GA = 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: Ototali = OC/D + D/E + 0E/F = 0
Answer: Shear stress of aluminium, bronze and steel are 52.9 MPa, 100.0 MPa and 75.6 MPa,
respectively
120 mm
2 m
Bronze
D
T= 54 kN-m
E
120 mm
Steel
60 mm
1.4 m
Alum, alloy
4
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