A simply supported beam of length L is subjected to linearly varying load, wx, as shown in Figure 5. The bending moment, M, of the beam is expressed as W M= 3 (x3 - 12 x) Given that dry M dx2 EI where EI > 0 is the constant flexural rigidity of the beam, derive the deflection, y, for the initial conditions at x = 0, y = 0, - = 0 and x = L, y = 0. W X Figure 5