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 TB that can be applied at end B?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 TB that can be applied at end B?
D₂
End
plate
Answer:
TB =
12
Fixed
plate
Tube (2)
a
Rod (1)
lb.in
b
TB
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fb26a83-a1f1-4353-a645-de1a4c597645%2F26c6a5a3-c185-4203-8f1f-72de73d5f0e4%2Flpv2n9s_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 TB that can be applied at end B?
D₂
End
plate
Answer:
TB =
12
Fixed
plate
Tube (2)
a
Rod (1)
lb.in
b
TB
B
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