Abstract

International Journal of Numerical Methods for Calculation and Design in Engineering (RIMNI) contributes to the spread of theoretical advances and practical applications of numerical methods in engineering and other applied sciences. RIMNI publishes articles written in Spanish, Portuguese and English. The scope of the journal includes mathematical and numerical models of engineering problems, development and application of numerical methods, advances in software, computer design innovations, educational aspects of numerical methods, etc. RIMNI is an essential source of information for scientifics and engineers in numerical methods theory and applications. RIMNI contributes to the interdisciplinar exchange and thus shortens the distance between theoretical developments and practical applications.

Desde 1985 la Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería (RIMNI) contribuye a la difusión en castellano, portugués e inglés de los desarrollos teóricos y aplicaciones prácticas de los métodos numéricos, tanto en relación con su utilidad como instrumentos de cálculo y análisis para el ingeniero y el científico, como en aspectos que inciden en las nuevas tecnologías de diseño y proyecto de producción y procesos en ingeniería. La revista abarca áreas diversas, tales como: modelos matemáticos y numéricos de problemas de ingeniería, desarrollo y aplicaciones de los métodos numéricos, nuevos avances en temas de software, innovaciones en el campo del diseño por computador, aspectos didácticos de los métodos numéricos, etc. La revista constituye una fuente de información imprescindible para ingenieros y científicos sobre innumerables temas relacionados con los métodos numéricos y sus aplicaciones, contribuyendo a promover la transferencia de conocimiento interdisciplinar y, por consiguiente, a acortar la distancia que existe entre los desarrollos teóricos y las aplicaciones concretas.

Abstract

Abstract

Advanced methods of calculation can be used to solve differential equations that characterize various engineering problems, such as problems of analysis of strain and stress of metallic structures. Among these are the Finite Element Method (FEM), a widely used numerical tool, due to the versatility of its computational routines, being applied in virtually every branch of engineering. The purpose of this article is to demonstrate a mathematical modeling that describes, in a satisfactory way, the behavior of metallic structures, through the analysis of strain and stress with scope of the technique of the finite elements. In this way, mathematical models are drawn up by the contour conditions and properties of the material of the structure under study. The model in study refers to the analysis of strain and stress of a hypothetical structure with characteristics and properties of the material consistent with those used by the Brazilian standards's design and manufacture of steel structures. The model is created so that it simulates the geometric distortions of the structure, as well as the concentrations of tension and deformation along it. Finally, the Von Mises stress are calculated in order to analyze the most critical points along the structure and determine its safety coefficient. Nevertheless, the results of the numerical analysis of strain and stress reflect the distortions of the structure, as these are consonants with the stress and strain values  estimated analytically. Thus, the results obtained demonstrate the high efficiency of the finite element method in the solution of problems in the area of mechanical structural engineering governed by equations wrapped differentiated by its contour conditions, the example of the analysis of strain and stress of metallic structures.