The figure below 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 = 3.00 in., and its wall thickness is t2 = 0.125 in. Overall dimensions of the assembly are a = 40 in. and b = 8 in. The allowable shear stresses for the bronze and aluminum materials are 10,000 psi and 8,000 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5°. On the basis of these constraints, what is the maximum torque TB that can be applied at end B?
The figure below 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 = 3.00 in., and its wall thickness is t2 = 0.125 in.
Overall dimensions of the assembly are a = 40 in. and b = 8 in. The
allowable shear stresses for the bronze and aluminum materials are
10,000 psi and 8,000 psi, respectively. Further, the rotation angle of
end B must be limited to a magnitude of 5°. On the basis of these
constraints, what is the maximum torque TB that can be applied at
end B?
![Fixed
End
plate
plate
Rod (1)
B
A
Tube (2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4082bea-7e84-4342-a11b-06d15f2251a0%2F10c32648-fe01-4731-aeb1-801edcd23393%2F3zwvxj_processed.png&w=3840&q=75)
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