14-24. Determine the bending strain energy in the simply supported beam due to a uniform load w . Solve the problem two ways. ( a ) Apply Eq. 14-17 . ( b ) The load w dx acting on the segment dx of the beam is displaced a distance y , where y = w(-x4 + 2Lx3 - L3x)>(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., dUi = 1 2 (w dx)(-y) . Integrate this equation to obtain the total strain energy in the beam. EI is constant. | |
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