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 = 1.65 in. The outside diameter of the tube is D₂ = 2.7 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the assembly are a = 49 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10500 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.6°. Based on these constraints, what is the maximum torque Tg that can be applied at end B? Fixed End plate plate d₁ TB Rod (1) D₂ A Tube (2) 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 = 1.65 in. The outside diameter of the tube is D₂ = 2.7 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the assembly are a = 49 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10500 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.6°. Based on these constraints, what is the maximum torque Tg that can be applied at end B? Fixed End plate plate d₁ TB Rod (1) D₂ A Tube (2) 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 = 1.65 in. The outside diameter of the tube is D2 = 2.7 in. and its wall thickness is t2 = 0.130 in. Overall dimensions of the assembly are a = 49 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10500 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.6°. 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 :C, and both the rod and the tube are welded to a rigid end plate at A. The rod
diameter is d₁ = 1.65 in. The outside diameter of the tube is D₂ = 2.7 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the
assembly are a = 49 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10500 psi and 7800 psi,
respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.6°. Based on these constraints, what is the
maximum torque TB that can be applied at end B?
Fixed
End
plate
12
plate
d₁
Rod (1)
Tube (2)
a
D₂
Answer:
TB =
A
Ib.in
b
TB
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0340ab0c-e54f-482a-bc54-4a3b868cdaba%2F8dfec0cd-6a15-4795-8918-1de7fe845eaf%2Fo7pypw_processed.png&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 :C, and both the rod and the tube are welded to a rigid end plate at A. The rod
diameter is d₁ = 1.65 in. The outside diameter of the tube is D₂ = 2.7 in. and its wall thickness is t₂ = 0.130 in. Overall dimensions of the
assembly are a = 49 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10500 psi and 7800 psi,
respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.6°. Based on these constraints, what is the
maximum torque TB that can be applied at end B?
Fixed
End
plate
12
plate
d₁
Rod (1)
Tube (2)
a
D₂
Answer:
TB =
A
Ib.in
b
TB
B
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