The A36 structural steel beam shown to the right experiences the loading shown in the figure. A) Determine the equation for the internal moment in the beam, valid for all values of x, using discontinuity functions. B) Determine the equation of the elastic curve in terms of the unknown reactions and constants. C) Apply the necessary boundary conditions to solve for the constants of integration and the support reactions. D) Determine the deflection of the beam at x = = L. Use the following parameters: L = 4 ft, L = 8 ft, L3 = 4 ft, M = 1000 lbft, w = 500 lb/ft, I W M L * L2 L3 = 16.6 in4