(a) A beam is fixed at its left end x = 0 but is simply supported at the other end x = L....

(a) A beam is fixed at its left end x = 0 but is simply supported at the other end x = L. Show that its deflection curve is

(b) Show that its maximum deflection occurs where x = (15 − √33)L/16 and is about 41.6% of the maximum deflection that would occur if the beam were simply supported at each end.