Assigned 9-6-06; Due 9-14-06    Use formal equilibrium and compatibility equations to assemble the 2x2 global stiffness matrix for the two beam element structure shown below if both ends of this two-element structure are fixed so that no vertical displacement nor rotation can occur at either end.  Consider bending only, that is, use vertical displacement and slope variables at each node but ignore any horizontal motions. Leave your result in terms of E, I and L.

Apply a downward vertical force P = 10 at the node where the two elements join and compute the displacement and slope at this node. For simplicity let E = 1.0, I = 1.0, L = 1.0 Assume a consistent set of units for the numerical quantities.