For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the location of the maximum deflection, and (c) the maximum beam deflection. Assume that El is constant for the beam. Let w = 12 kN/m, L = 6.0 m, E = 215 GPa, and I = 105 x 106 mm4. B Answer: (b) х 3D (c) Vmax = mm

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A: Draw FBD

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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.