Determine the bending strain energy in the (a) Apply Eq.
Chapter 14, Problem 14-23(choose chapter or problem)
Determine the bending strain energy in the cantilevered beam. Solve the problem two way (a) Apply Eq. 14–17. (b) The load w dx acting on a segment dx of the beam is displaced a distance y, where \(y=w\left(-x^{4}+4 L^{3} x-3 L^{4}\right) /(24 E I)\), 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., \(d U_{i}=\frac{1}{2}(w d x)(-y)\). Integrate this equation to obtain the total strain energy in the beam. EI is constant.
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