P9-3 The composite shaft, consisting of aluminium, copper, and steel sections, is subjected to the loading shown. Determine the displacement of end A with respect to end D. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. [Ans. -0.0725 mm]

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.