A solid 2.5 in. diameter cold-rolled brass [G=6,400 ksi] shaft that is L1+L3=123 in. long extends through and is completely bonded to a hollow aluminum [G=3,800 ksi ] tube, as shown in the figure. Aluminum tube (1) has an outside diameter of 3.750 in., an inside diameter of 2.500 in., and a length of L1=64 in. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. External torques in the directions shown are applied at B and C. The torque magnitudes are TB=5.0 kip⋅ft and TC=1.5 kip⋅ft, respectively. After TB and TC are applied to the composite shaft, determine: the maximum shear stress magnitude in brass shaft segment (3). [
A solid 2.5 in. diameter cold-rolled brass [G=6,400 ksi] shaft that is L1+L3=123 in. long extends through and is completely bonded to a hollow aluminum [G=3,800 ksi ] tube, as shown in the figure. Aluminum tube (1) has an outside diameter of 3.750 in., an inside diameter of 2.500 in., and a length of L1=64 in. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. External torques in the directions shown are applied at B and C. The torque magnitudes are TB=5.0 kip⋅ft and TC=1.5 kip⋅ft, respectively. After TB and TC are applied to the composite shaft, determine:
the maximum shear stress magnitude in brass shaft segment (3). [Answer: 5.87 ksi]
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