Problem 1 For the beam in the figure below, assume E = 29,000 ksi and I = 600 in“ for the whole beam. (a) Determine the reactions at the supports A,B, and C using the reaction at C (C,) as the redundant. (b) Draw the shear and moment diagram. (c) Compute the rotation at B and the vertical displacement below the load P in the span AB. (d) Sketch the deflected shape. 2

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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.