1. A cantilever beam of length L=3m is fixed at the left end (point A) and free at the right end (point B). A point load P=5kN is applied downward at the free end B. Using the double integration method,
(a) derive the equation for the deflection curve y(x),
(b) determine the maximum deflection at the free end,
(c) determine the slope at the free end. Assume EI=200kNm$^2$ (constant flexural rigidity).
(25 pts)
P
3.0 m