Determine the bending strain energy in the simply supported beam shown due to the uniform load w. Solve the problem in two ways: apply equation 14-17 (see Hibbeler) the load wdx acting on segment dx of the beam is displaced y, where y = w(-x + 2Lx- x) 24EI the equation of the elastic curve. Hence the internal strain energy in the differential segment dx of the beam is equal to the external work; i.e. dU, = 1 - 2 (wdx)(-y). Integrate this equation to obtain the total strain energy in the beam. El is constant. w dx xdx L- W