Deflection by Integration and Superposition Derive equation of y using integration of moment for distributed load w_o. Find function for total deflection (w_o and F loads) using superposition. Solution a)Total Bending Moment on the cantilever beam = Wo x a/2 + FxL b)Total deflection = Wo*a4 / 8 Elastic Limit + FL3 / 3 Elastic Limit.