# Torsion of Circular Shaft

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Tutorial 10 Engineering Mechanics (Torsion of circular shafts) 1. A shaft is made of a steel alloy having an allowable shear stress of the shaft is 1.5 in, determine the maximum torque T that can be transmitted. What would be the maximum torque if a 1-in.-diameter hole is bored through the shaft? Sketch the shear-stress distribution along a radial line in each case. Figure 1 2. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions BC and DE of the shaft. The bearings at A and F allow free rotation of the shaft. Figure 2 3. The solid 30-mm-diameter shaft is used to transmit the torques applied to the gears. Determine the absolute maximum shear stress on the shaft Figure 3 4. The motor A develops a power of 300 W and turns its connected pulley at 90 rev/min. Determine the required diameters of the steel shafts on the pulleys at A and B if the allowable shear stress is tallow = 85 MPa. Figure 4 5. The solid steel shaft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 12 kW of power to the shaft while it is turning at 50 rev/s. If gears A, B, and C remove 3 kW, 4 kW, and 5 kW respectively, determine the maximum shear stress developed in the shaft within regions CF and BC. The shaft is free to turn in its support bearings D and E. Figure 5 6. The 20-mm-diameter A-36 steel shaft is subjected to the torques shown. Determine the angle of twist of the end B. Figure 6 7. The assembly is made of A-36 steel and consists of a solid rod 20 mm in diameter fixed to the inside of a tube using a rigid disk at B. Determine the angle of twist at D. The tube has an outer diameter of 40 mm and wall thickness of 5 mm. Figure 7 Solution Q (1) 2 3 Internal Torque: As shown on torque diagram.