What would the boundary conditions be for a fourth order differential equation describing the deflection (elastic curve) of a propped cantilever beam with a uniform distributed load applied? i.e. a beam with a built in support on the left and a simple support on the right. I need 4 obviously but I am having a hard time coming up with the 4th. So far I have 1. x = 0 v = 0 (no deflection at the built in support end) 2. x = L v = 0 (no deflection at the simple support end) 3. x = 0 dv/dx = 0 (slope of the deflection at the built in support is 0) and for the fourth I have seen x = L d^2v/dx^2=0 but Im having some trouble wrapping my head around that last one. Is it correct?