Application of the Virtual Work Principle in obtaining the structural response of isostatic frames

Abstract

The purpose of this research work is to determine the structural response of an isostatic frame subjected to different load systems, through the unit load method and SAP2000 software, thereby obtaining what effects contribute more towards deflection, in the same way for displacements. horizontal lines affected by temperature, the scope is descriptive-comparative with a descriptive research methodology, where it was obtained that the deflection by the SAP2000 software and the PTV has a variation of 0.006347%, being a negligible margin of error, in addition to the contribution of the effect by axial and shear deformation has a minimum influence of 0.01385%, with the effect of bending deformation being the predominant with 99.98614%, for the horizontal displacement affected by temperature, through the SAP2000 and PTV software, a margin of 0.0054% was obtained which is not significant, where the relevant contributions towards horizontal displacement were the effects of bending and axial deformation, with a contribution of 95.5962% and 4.4038% respectively. Therefore, it turns out that by the PTV and the SAP2000 software, both the horizontal and vertical displacements have a non-significant variation, on the other hand, to obtain a deflection, only the effect of bending deformation is considered, and for a horizontal displacement affected By temperature, both the effect of axial deformation and bending are analyzed.