(4.15) Consider a doublely built-in beam of length L with a transverse load of magnitude P...
(4.15) Consider a doublely built-in beam of length L with a transverse load of magnitude P in the positive direction at x - L/2 a) By approximately minimizing the potential system find the displacement energy of the ield for the beam: use a subspace with one degree of freedom (b) Compare your approximation to the exact an accurate plot of normal- answer with ized non-dimensional deflection versus non- dimensional position. Make sure that vou clearly label your axes, have a pro ratio, legend, etc per aspect (c) Further assess the accuracy of your approxi- mate solution by computing the relative dis- placement error at the middle of the beam (as a percentage)