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. 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. What diameter d is required for a solid shaft to resist the same torque with the same maximum stress. What is the ratio of the weight of the hollow tube to the weight of the solid shaft?

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Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.