Avaliação da variação das solicitações na estrutura devido a movimentação dos apoios via análise matricial de estruturas

Abstract

One of the most important contemporary problems in modern construction, where stability and safety are essential, is the neglect of support displacements. The aim of this study is to highlight the effects of foundation displacement on the analysis of flat structures. The results of simple frame analyses under various conditions were compared, including indisplaceable supports, supports on Winkler springs, imposed displacements and soil-structure interaction. The study is a literature review focusing on the application of the Matrix Displacements Method (MDM) to planar linear structures, considering soil-structure interaction using the Winkler Model. The research is restricted to physical and geometric linearity, analyzing displacements and nodal forces. It was found that neglecting support displacements results in errors of up to 17.26% in reactions and up to 91.12% in displacements. The use of spring supports and an iterative process reduces these errors to between the values calculated with indisplaceable supports and those obtained with springs. The stresses at the ends of the bars varied by between 6.32% and 24.61% compared to the immovable supports. The analysis thus highlights the importance of considering the movement of the supports, especially in deformable soils, and demonstrates the effectiveness of the iterative process in obtaining intermediate results between calculations with indisplacement supports and those with an elastic base.