Fig. 15

Polynomials of the shape functions for a two-node beam element simply supported (without load) at node 1 and clamped at node 2. The shape functions \({N_{1,1,1}} \left( \xi \right) \), \({N_{1,2,1}} \left( \xi \right) \) and \({N_{2,2,0}} \left( \xi \right) \) are not included in the element formulation due to the given boundary conditions. “rhs”: graph refers to the scale on the right hand side