For the beam shown below, assume that the flexural stiffness of the beam El = 180,000 kip ft is constant from A to D. Consider that the beam is subjected to the uniform distributed load from C to D. 2.0 kipit D B 12 ft 8 ft 20 ft Part A: Using the Double Integration Method, and neglecting the shear deformations, solve the questions (a) to (f) below. (a) Determine the curvature equation (x). (b) Determine the equation of the deflection v(x). (c) Determine the equation for the slope. 0(x). (d) Determine the maximum (in absolute terms) of the vertical displacements along the beam. (e) Determine the deflections and slopes at A, B, C, and D. (1) Based on the results from (d) and (e), sketch the deflected shape for the beam A to D