Abstract
Given the importance of structural analysis, slabs, particularly those made of solid concrete, have several models that allow analyzing them and obtaining the necessary efforts for their dimensioning, among them the grate analogy method. Since this is attractive for this purpose, since it has a simple approach without losing efficiency, this work proposes to study, using this approach, the mechanical behavior, in the linear elastic regime, of solid slabs of a residential floor. Thus, the general objective is to obtain the efforts and displacements of the referred pavement with this technique. For that, a computational code was developed in the Scilab programming language. In order to establish a comparison with other methods, the pavement was also analyzed using Kirchhoff's plate flexion theory and using shell finite elements with the aid of the SAP2000 software. It can be proved, through the study, the efficiency of the analysis of slabs through grid analogy. In addition, the importance of the study is verified considering the floor coupled to the beams, as well as taking into account the cracked state of the concrete, ensuring the achievement of more realistic results, which is important for design purposes.
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