Derive the displacements of the neutral axis of a simply supported beam subjected to a shearing traction q(x,y) = q o (given in Pa) acting uniformly along the top surface of the beam, and to a concentrated moment applied at x=L equal to M=q o a 3 (in Nm). Assume a Young's modulus E and neglect the effect of gravity. The beam cross-section is rectangular, as indicated in the figure below. Put your solution in a non-dimensional form