Uma revisão dos métodos clássicos de análise de placas

Abstract

This work proposes a solution, based on linear fitting, to the problem of bending of thin plates with small deflections. The purpose of this solution is to make the programming and manual calculation of bending moments and deflections easier than classical method equations and calculation tables. Furthermore, this solution was restricted to uniformly loadded and rectangular plates with clamped or simply supported edges. The values to make the fit was obtained by programing the Levy classical method with MATLAB® and the results were close to the values given by Timoshenko e Goodier (1959). The linear ajustment was made using the same programmimg language and the shape fuction was a polynomial equation of 3 rd degree with 4 variables. Furthermore, the values obtained by programming were compared with the coefficients in the Chust and Figueiredo’s (2014) calculations table. It was verified that the tabulated values were not the maximums, because they were always obtained in the middle of the plate. Therefore, it was produced a calculation table for each kind of plate with the maximum values.