A uniform beam of length L carries a concentrated load w0 at x = 1/2 L. See the figure below. beam embedded at its left end and free at its right end. Use the Laplace transform to solve the differential equation EI d^4y/dx^4 = w0 delta(x - 1/2 L), 0 < x < L, subject to the given boundary conditions. y(0) = 0, y'(0) = 0, y''(L) = 0, and y'''(L) = 0.
