1. The problem statement, all variables and given/known data Using method of integration, determine the elastic curve for the beam and calculate the total deflection at a point A (end) of the beam. Use EI as a constant. See word document attached with diagram. 2. Relevant equations EIV''(x) = - M(x) 3. The attempt at a solution I know how to integrate to get the deflection formula but I'm not sure how to calculate M(x) with the moment at the free end. Is it M(x) = -w/2(L-x)^2 + M(a)(x/L) or M(x) = -w/2(L-x)^2 + M(a) Why do some problems in my textbook (Mechanics of materials, Gere) include the support reactions in M(x) and others don't? Do I need to include the support the reactions? Also will my answer be in meters e.g. v = 100m/EI ? Any help is much appreciated. Thanks.