One end of a cantilever beam of length z is built into a wall, while the other end is simply Supported. If the beam weighs w 10. per unit length, its deflection y at a distance x from the built-in end satisfies the equation 48Ely = w(2x4 - 5Lx3 + 312x2), where E and I are constants which depend on the material of the beam and the shape of its cross section. Sketch the graph of the deflection with all details and discuss it. Where does the maximum deflection occur