Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b= 7 in, da = 1.125 in, db=1.875 in, and w=160 lbf/in. da a d₂ W b a da The magnitude of deflection at the mid-span of the beam is 0.016265 in.

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Q: Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel…

A: The dimensions are a=3 in, b=7 in, da=1.125 in, db=1.875 in The distributed load is w=160 lb/in

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Q: Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel…

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.