A cantilever beam of length L = 55 in is made from two side-by-side structural-steel channels of size 3 in weighing 5.0 lbf/ft. The beam supports a uniform external distributed load of w= 5 lbf/in and a point load of F=130 lbf at the end. Including the weight of the channels, use Castigliano's theorem to find the magnitude of deflection at A. y 0 W The magnitude of deflection at A is in. F A X PhotoMania

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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.