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categoryهندسة ميكانيكية schoolبكالوريوس event_available2026-07-14

السؤال

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P2 The compound shaft shown in Figure P1 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 0.875 in., a length of L₁ = 45 in., a shear modulus of 3,800 ksi, and an allowable shear stress of 6 ksi. Brass segment (2) has an outside diameter of 0.68 in., a wall thickness of 0.09 in., a length of L2 = 30 in., a shear modulus of 6,400 ksi, and an allowable shear stress of 8 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 that is produced by the allowable torque TB. Lu L2 TB x (1) B FIGURE P2

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