(a) Determine the location and magnitude of the maximum absolute deflection in AB between...

(a) Determine the location and magnitude of the maximum absolute deflection in AB between A and the center of the beam, (b) Assuming that beam AB is a W18 × 76 rolled shape, M0 = 150 kip · ft and E = 29 × 106 psi, determine the maximum allowable length L so that the maximum deflection does not exceed 0.05 in.