The Influence of the Stiffness of a Hyperstatic Elastic Beam on the Internal Forces Diagrams and on the Bending Deformations

An algorithm using the step function Φ(x-a) from the MATHCAD professional calculation program was used to calculate the bending deformations of an elastic beam suspended by means of tie rods (cables). It allowed the writing of analytical relations of shear and bending internal forces in the beam subjected to bending and the drawing of the corresponding diagrams. Also, the algorithm allowed the writing of the analytical relations of the deformations of the beam (arrows and rotations) with the help of the loading function Ψ (x), respectively its derivative Ψd(x). The numerical simulation presented in this paper allowed finding the practical solution for the proposed problem.