Study of the Influence of the Longitudinal Slipping of a Package of Suspended Bars on Stress Diagrams and on its Deformations

Abstract

Abstract To calculate the bending deformations of a package of elastic beams suspended by means of tie rods, a calculation algorithm using the step function Φ (x-a) from the professional MATHCAD calculation program was used. The step function Φ (x-a) allowed the writing of the analytical relations of the internal shear and bending forces in the beam subjected to bending and the drawing of the corresponding diagrams. Also, the calculation algorithm allowed the writing of the analytical relations of the deformations of the bar (arrows and rotations) with the help of the loading function Ψ (x), respectively its derivative Ψ d(x). The numerical simulation presented in this work allowed the study of the influence of longitudinal sliding on the internal shear and bending force and deformation diagrams for two presumptive connection situations of package beams that were expressed by the degree of preventing sliding (δ =50% and δ =100%), which is defined as the ratio between the moment of inertia of the hexagonal section comprising the n beams as a unitary whole and the one calculated as the sum of the moments of inertia of the sections of the n beams