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 d₂ = 2.05 in. The outside diameter of the tube is D₂ = 2.8 in. and its wall thickness is t₂ = 0.110 in. Overall dimensions of the assembly are a = 55 in. and b= 11 in. The allowable shear stresses for the bronze and aluminum materials are 10800 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.8°. Based on these constraints, what is the maximum torque Tg that can be applied at end B? Fixed End plate 12 plate 13 Rod (1) A Tube (2) a D₂ Answer: TB = Ib-in C d₁ b TB B

Structural Analysis
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Chapter2: Loads On Structures
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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 = 2.05 in.  The outside diameter of the tube is D2 = 2.8 in. and its wall thickness is t2 = 0.110 in.  Overall dimensions of the assembly are a = 55 in. and b = 11 in.  The allowable shear stresses for the bronze and aluminum materials are 10800 psi and 7800 psi, respectively.  Further, the rotation angle of end B must be limited to a magnitude of 4.8°.  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 = 2.05 in. The outside diameter of the tube is D₂ = 2.8 in. and its wall thickness is t₂ = 0.110 in. Overall dimensions of the
assembly are a = 55 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10800 psi and 7800 psi,
respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.8°. 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)
Tube (2)
a
D₂
Answer:
TB =
lb-in
C
b
B
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 = 2.05 in. The outside diameter of the tube is D₂ = 2.8 in. and its wall thickness is t₂ = 0.110 in. Overall dimensions of the assembly are a = 55 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10800 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.8°. 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) Tube (2) a D₂ Answer: TB = lb-in C b B
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