Analysis of the Finite Differences Numerical Method and Method Analysis of Successive Integrations in the study of a simply supported beam subjected to distributed load

Daniel Tanure Franco Dutra; Carlos Alberto Mirez Tarrillo

Daniel Tanure Franco Dutra Universidade Federal dos Vales do Jequitinhonha e Mucuri (UFVJM) https://orcid.org/0000-0002-2350-1452
Carlos Alberto Mirez Tarrillo Universidade Federal dos Vales do Jequitinhonha e Mucuri (UFVJM) https://orcid.org/0000-0003-3024-915X

Keywords: Structures, Beam, Differential Equations, Numerical Methods

Abstract

In the present article a study is presented between the methods: analytical and numerical (Finite Difference Method “MDF”). In the analysis, the elastic line and bending moment of a beam were studied in both methods. The simply supported beam submitted to a distributed loading represents one of the most important examples in engineering. Deformation analysis is an important procedure in Structural Engineering. Initially, the Differential Equation of a beam is presented, and we tried to find the analytical and numerical solutions. Subsequently, the results are presented using tables and graphs for both methods and it was concluded that the numerical method provides satisfactory results.