For the prismatic cantilever beam shown that is rigidly supported at B and subjected to a linearly varying load: Find the bending moment as a function of x, L, and w given the coordinate system shown. Using your results from Part 1, write the moment-curvature equation in terms of x, L, w, El, and y. Do not solve. What boundary conditions would you use if asked to solve the moment curvature equation in part 2? Solution 1) The bending moment Mx = Fx (x/3) Fx = shear force at section x-x Fx = -(wx/L) (x/2) Mx = -(wx/L) (x/2) (x/3) Mx = -wx 3 /6L 2) (d 2 y/dx 2 ) = Mx/EI (d 2 y/dx 2 ) =  -wx 3 /6LEI 3) From the given conditions the boundry equations are for C1 the boundry conditions x = L and (dy/dx) = 0 for  C2 the boundry conditions x = L and Y = 0 .