Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel b = 7 in, da = 1.125 in, db = 1.875 in, and w=160 lbf/in. da 7 d₂ W ↓ da

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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.