A hollow shaft and a solid shaft constructed of the same material have the same length and the same outer radius. The inner radius R of the hollow shaft is 0.6R. Assuming that both shafts are subjected to the same torque, compare their shear stresses, angle of twist and weights.
2. A hollow shaft and a solid shaft constructed of the same material have the same length and the same outer radius. The inner radius R of the hollow shaft is 0.6R. Assuming that both shafts are subjected to the same torque, compare their shear stresses, angle of twist and weights.
3. A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside diameter 82mm. The tube is 2.75m long and the aluminium has shear modulus G=28GPa.
a. If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist (in degrees) when the maximum shear stress is 48 MPa.
b. What diameter d is required for a solid shaft to resist the same torque with the same maximum stress.
c. What is the ratio of the weight of the hollow tube to the weight of the solid shaft?
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