Problem 1.3 Comparison of of maximum deflections of a cantilever beam under constant distributed load according to the different beam theories Calculate the normalized deflection of a cantilever beam under constant distributed load (rectangular cross section with width b and height h, beam length L, % in negative z-direction) as a function of the slenderness ratio according to the theories of (a) Euler-Bernoulli, (b) Timoshenko (ks = ) and (c) Levin- son. Use the maximum deflection according to Euler-Bernoulli to normalize your results.