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 = 1.95 in. The outside diameter of the tube is D₂ = 2.9 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the assembly are a = 40 in. and b = 13 in. The allowable shear stresses for the bronze and aluminum materials are 9100 psi and 8100 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.5°. Based on these constraints, what is the maximum torque Tg that can be applied at end B? Fixed End plate plate TB Rod (1) A D₂ Answer: TB = Tube (2) a lb-in b B
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 = 1.95 in. The outside diameter of the tube is D₂ = 2.9 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the assembly are a = 40 in. and b = 13 in. The allowable shear stresses for the bronze and aluminum materials are 9100 psi and 8100 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.5°. Based on these constraints, what is the maximum torque Tg that can be applied at end B? Fixed End plate plate TB Rod (1) A D₂ Answer: TB = Tube (2) a lb-in b B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
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 = 1.95 in. The outside diameter of the tube is D2 = 2.9 in. and its wall thickness is t2 = 0.130 in. Overall dimensions of the assembly are a = 40 in. and b = 13 in. The allowable shear stresses for the bronze and aluminum materials are 9100 psi and 8100 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.5°. Based on these constraints, what is the maximum torque TB that can be applied at end B?
![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 = 1.95 in. The outside diameter of the tube is
D₂ = 2.9 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the assembly are a = 40 in. and b = 13 in.
The allowable shear stresses for the bronze and aluminum materials are 9100 psi and 8100 psi, respectively.
Further, the rotation angle of end B must be limited to a magnitude of 4.5°. Based on these constraints, what is
the maximum torque Tg that can be applied at end B?
Fixed
End
plate
12
plate
TB
Rod (1)
A
Tube (2)
a
D₂
Answer:
TB =
lb-in
b
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5c788ea-cc3f-412d-9171-e57b25ccd856%2F43e9e9a9-b69f-4622-ba94-bbafec478a02%2Frgvm2m7_processed.jpeg&w=3840&q=75)
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 = 1.95 in. The outside diameter of the tube is
D₂ = 2.9 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the assembly are a = 40 in. and b = 13 in.
The allowable shear stresses for the bronze and aluminum materials are 9100 psi and 8100 psi, respectively.
Further, the rotation angle of end B must be limited to a magnitude of 4.5°. Based on these constraints, what is
the maximum torque Tg that can be applied at end B?
Fixed
End
plate
12
plate
TB
Rod (1)
A
Tube (2)
a
D₂
Answer:
TB =
lb-in
b
B
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