The aluminum alloy [G = 4000 ksi] pipe is fixed to the wall support at C. The bolt holes in the flange at A were supposed to align with mating holes in the wall support; however, an angular misaligment of 4° was found to exist. To connect the pipe to its supports, a temporary installation torque T'B must be applied to B to align flange A with the mating holes in the wall support. The outside diameter of the pipe is 5.5625 in. and its wall thickness is 0.258 in. The segment lengths are L1= 16 ft and L2 = 24 ft. a) Determine the temportary installation torque T'B that must be applied to B to align the bolt holes at A b) Determine the maximum shear stress τinitial in the pipe after the bolts are connected and the temporary installation torque at B removed c)Determine the magnitude of the maximum shear stress in segment (1) and (2) if an external torque TB= 150 kip-in. is applied at B after the bolts are connected

Question

The aluminum alloy [G = 4000 ksi] pipe is fixed to the wall support at C. The bolt holes in the flange at A were supposed to align with mating holes in the wall support; however, an angular misaligment of 4° was found to exist. To connect the pipe to its supports, a temporary installation torque T'_B must be applied to B to align flange A with the mating holes in the wall support. The outside diameter of the pipe is 5.5625 in. and its wall thickness is 0.258 in. The segment lengths are L₁= 16 ft and L₂ = 24 ft.

a) Determine the temportary installation torque T'_B that must be applied to B to align the bolt holes at A

b) Determine the maximum shear stress τ_initial in the pipe after the bolts are connected and the temporary installation torque at B removed

c)Determine the magnitude of the maximum shear stress in segment (1) and (2) if an external torque T_B= 150 kip-in. is applied at B after the bolts are connected