1. The problem statement, all variables and given/known data Find the deflection at x=L/4 and x=L/2 for the beam 2. Relevant equations See attached pic. 3. The attempt at a solution So I have the solution derived in class. Only 0<x<L/2 is derived because since the load on the beam is at L/2, the equation is valid for the entire beam since its symmetric (or something like that, if this isn't the correct explanation somebody tell me). My question concerns the boundary conditions. I know that at x=0, the displacement v=0. Hence you get C2=0. Now the second thing: dv/dx=0 at x=L/2 I have no idea what dv/dx means, why its 0, and why its taken at x=L/2. Any help would be appreciated thanks.