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 = 1.75 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 = 38 in. and b = 13 in. The allowable shear stresses for the bronze and aluminum materials are 9400 psi and 7500 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.1°. 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 = 1.75 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 = 38 in. and b = 13 in. The allowable shear stresses for the bronze and aluminum materials are 9400 psi and 7500 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.1°. 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 = 1.75 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 = 38 in. and b = 13 in. The allowable shear stresses for the bronze and aluminum materials are 9400 psi and 7500 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.1°. Based on these constraints, what is the maximum torque TB that can be applied at end B?
Transcribed Image Text:End
plate
A
D₂
Answer:
TB =
12
Fixed
plate
Rod (1)
Tube (2)
a
lb-in
d₁
b
TB
B
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