Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Civil engineering 

The figure shows a cutaway view of an assembly in which a solid bronze [G= 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G =
4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod
diameter is d₁ = 1.15 in. The outside diameter of the tube is D₂ = 3.4 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the
assembly are a = 50 in. and b = 14 in. The allowable shear stresses for the bronze and aluminum materials are 10600 psi and 7600 psi,
respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.3°. Based on these constraints, what is the
maximum torque Te that can be applied at end B?
D2
Answer:
TB =
End
plate
A
12
Fixed
plate
Tube (2)
a
Rod (1)
lb-in
b
TB
B
W
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Transcribed Image Text:The figure shows a cutaway view of an assembly in which a solid bronze [G= 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d₁ = 1.15 in. The outside diameter of the tube is D₂ = 3.4 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the assembly are a = 50 in. and b = 14 in. The allowable shear stresses for the bronze and aluminum materials are 10600 psi and 7600 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.3°. Based on these constraints, what is the maximum torque Te that can be applied at end B? D2 Answer: TB = End plate A 12 Fixed plate Tube (2) a Rod (1) lb-in b TB B W
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