A solid 71-mm-diameter cold-rolled brass [G = 36.7 GPa] shaft that is 1.28 m long extends through and is completely bonded to a hollow aluminum [G = 25.9 GPa] tube. Aluminum tube (1) has an outside diameter of 95 mm, an inside diameter of 71 mm, and a length of 0.87 m. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. Assume L1=L2 = 0.87 m, L3= 0.41 m, TB = 29 kN-m, and TC = 8 kN-m. When the two torques shown are applied to the composite shaft, determine: (a) the maximum shear stress magnitude T1 in aluminum tube (b) the maximum shear stress magnitude T2 and T3 in brass shaft segment (c) the rotation angle of joint B and joint C
A solid 71-mm-diameter cold-rolled brass [G = 36.7 GPa] shaft that is 1.28 m long extends through and is completely bonded to a hollow aluminum [G = 25.9 GPa] tube. Aluminum tube (1) has an outside diameter of 95 mm, an inside diameter of 71 mm, and a length of 0.87 m. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. Assume L1=L2 = 0.87 m, L3= 0.41 m, TB = 29 kN-m, and TC = 8 kN-m. When the two torques shown are applied to the composite shaft, determine:
(a) the maximum shear stress magnitude T1 in aluminum tube
(b) the maximum shear stress magnitude T2 and T3 in brass shaft segment
(c) the rotation angle of joint B and joint C
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