The torsional assembly shown in figure below consists of a solid bronze (G3 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: 0total = ec/D + 0D/E + BE/F= 0 !! %3! %3D %3D Answer: Shear stress of aluminium, bronze and steel are 52.9 MPa, 100.0 MPa and 75.6 MPa, respectively

Structural Analysis
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Chapter2: Loads On Structures
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The torsional assembly shown in figure below consists of a solid bronze (G3 = 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: 0:otal
Oc/p + 6D/E + OE/F= 0
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
Alum. alloy
2 m
Steel
(a)
1.4 m
F
120 mm
120 mm
Transcribed Image Text:The torsional assembly shown in figure below consists of a solid bronze (G3 = 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: 0:otal Oc/p + 6D/E + OE/F= 0 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 Alum. alloy 2 m Steel (a) 1.4 m F 120 mm 120 mm
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