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
DOI:
https://doi.org/10.70597/ijget.v1i1.374Palavras-chave:
Structures, Beam, Differential Equations, Numerical MethodsResumo
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.
Referências
ABNT - Associação Brasileira de Normas Técnicas, 2014. NBR 6118:2014 Projetos de estruturas de concreto – Procedimento. Rio de Janeiro.
Beer, F.P., Johnston, E.R., Dewolf, J.T. e Mazurek, D.F., 2011. Mecânica dos Materiais. 5 ed. Porto Alegre: AMGH.
Castro, L.M.S., 2001. Análise de vigas em fundação elástica. Apontamentos da disciplina de Matemática Aplicada da EST-IPCB, pp.20.
Franco, A.D., 2011. Métodos numéricos aplicados à Engenharia. UTFPR, pp.1-9.
Franco, N.B, 2006. Cálculo numérico. São Paulo: Person Prentice Hall, pp.431.
Hibbeler, R.C., 2010. Resistência dos Materiais. 7 ed. São Paulo: Pearson Hall, pp.421.
Ruggiero, M.A.G. e Lopes, V.L.R, 1996. Cálculo numérico: aspectos teóricos e computacionais. 2 ed. São Paulo: Pearson Makron Books, pp.357.
Szilard, R., 2004. Theories and Applications of Plate Analysis. 1 ed. New Jersey: John Wiley & Sons, Inc., p. 36.
Timoshenko, S., 1967. Resistência dos Materiais. 3 ed. Rio de Janeiro: Ao livro técnico S. A., pp.147-183.
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