The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.90 in., a length of L₁ = 55 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.6 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.06 in., a length of L₂ = 20 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.4 ksi. Determine: (a) the allowable torque TB that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. L₁ L2 Answer: (a) TB = (b) T₁ = T₂ = (c) DB = (1) TB lb-ft lb-ft lb-ft rad B

The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.90 in., a length of L1 = 55 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.6 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.06 in., a length of L2 = 20 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.4 ksi. Determine: (a) the allowable torque Tg that can be applied to the compound shaft at flange B (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque T.