Determine the bending strain energy in the cantilevered beam due to a uniform load w. Solv...

Determine the bending strain energy in the cantilevered beam due to a uniform load w. Solve the problem two ways, (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(−x4 + 4L3x− 3 L4)/(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.. dU4, =  (w dx)(− y). Integrate this equation to obtain the total strain energy in the beam EI constant