Análise de pórticos planos em base elástica

Abstract

The geotechnical design usually does not take into account the changes in the tensions generated due to the deformations in the soil, just as the superstructure design usually does not take into account the redistribution of the forces generated by these displacements. The separated consideration of structural and geotechnical studies comes from the high degree of complexity involved in evaluating these phenomena. Engineering projects without considering elastic supports can lead to a misinterpretation of the structure design. Several cases can be presented, for example, of buildings in Santos/SP in which clefts occur and other pathologies constitute direct examples of the need for joint analysis of the structures and massif on which they rely. According to Colares (2006) "There are several cases of buildings that presented some type of deformity due to changes not predicted in the mechanical behavior idealized in the structural analysis." Among the deformities, we can highlight the incidence of serious pathologies, such as cracks in beams and slabs or even the crushing of columns. There are several proposed models that make it possible to describe the phenomenon of soil-structure iteration, among the most widespread and that will be used in this work to represent this phenomenon is that of Winkler (1867), which consists of replacing the soil with a set of discrete springs. Here is presented the model generated by Winkler (1867) and the entire matrix formulation for the implementation of this model in the displacement method. From this, an analysis of two structures was made, a frame and a beam on an elastic base, enabling a verification of the influence of the elastic behavior of the foundation base. We also found values very close to those of Ftool with the consideration of the use of deformable bars in place of springs applied to the matrix method of displacements.