# Lab4-Torsion - Lab 4 Torsion Mechanics of Deformable Solids...

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Lab 4 – Torsion Mechanics of Deformable Solids Spring 2011 Introduction Rotational loads are commonplace in devices designed to transmit energy. An everyday example is the automobile driveshaft. This device essentially connects an automobile’s transmission to its wheels. In a rear-wheel drive car, the transmission transmits power from the engine to the rear wheels of the car. Power is transmitted by applying a torque to the drive shaft to increase, decrease, or sustain the speed of the automobile. Each change in speed is accompanied by a torque, inducing a shear stress in the rod. To assess this issue, the drive shaft must be designed to endure torsional loads while complying with consumer and industrial standards. This experiment will focus on exploring how torque affects the twist of circular rods possessing different cross-sectional geometries and material properties. During the experiment, a new material property will be introduced called the Shear Modulus of Elasticity. In addition, a new geometric parameter is introduced known as the Polar Moment of Inertia. Angular Rotation from an Applied Torque When exploring torsional loads, certain material properties and geometric parameters can be combined to form a relationship between the angular rotation of a rod and the applied torque. Figure 1 depicts a circular cantilever shaft under a torque (T). A dotted line is drawn down the neutral axis of the shaft where the solid line was before the torque was applied. If we examine this line at the wall, it shows zero rotation. This is due to the fact that the shaft is fixed at the wall and therefore will be unable to rotate. As we follow the line to the end of the shaft, the angular rotation reaches a maximum at the free end ( φ). In general, as the shaft length increases, the angle of twist ( φ ) will increase for a given torque (T).

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## This document was uploaded on 10/28/2011 for the course MECHANICAL 222 at Michigan State University.

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Lab4-Torsion - Lab 4 Torsion Mechanics of Deformable Solids...

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