[ANSWERED] 1. Derive the equations for the beam element on an elastic foundation (Figure P4–47) using the…

1. Derive the equations for the beam element on an elastic
foundation (Figure P4–47) using the principle of minimum potential energy. Here
kf is the subgrade spring constant per unit length. The potential energy of the
beam is
2. Derive the equations for the beam element on an elastic
foundation (see Figure P4–47) using Galerkin’s method. The basic differential
equation for the beam on an elastic foundation is