A cantilever beam, made of a material with a Young's modulus, E with a rectangular cross section with a moment of inertia I, is under a uniformly distributed load, q, across the length L of the cantilever at a point load P at the free end of the cantilever.

Question

What is the maximum deflection of the beam? Express your answer in terms of q,E,I,L,P.

Answer 1

-L^3*(8*P+3*q*L)/24

Answer 2

P*L^3/(3*E*I)+q*L^4/(6*E*I)

Answer 3

-L^3*(8*P+3*q*L)/(24*E*I)