# Optimization of steel castellated and cellular beams using finite element method and genetic algorithms

## Palavras-chave:

open-web beams, optimization, genetic algorithm## Resumo

The quest to consume resources more consciously and effectively encourages the use of optimization

processes. In this sense, the present study aims to employ computational optimization techniques to determine the

maximum strength of open-web steel beams, for two groups of different cut lines, one generating beams with holes

in the hexagons-shape and another in ellipse format. From these two models of cut lines, a set of parameters is

defined that establish different configurations for the cut line in an analyzed I-shaped profile, for example: distance

between holes; position along the web height; hole dimensions; among others. A computational routine is

implemented to generate, from the analyzed I-shaped profile and for certain parameter values, a finite element

mesh. The load capacity of the castellated and cellular beam is defined through a nonlinear analysis using the finite

element program FEMOOP and a three-node triangular finite element in plane stress state. This element was

chosen due to the need for a very refined mesh in the discretization process of the different possible configurations

of cut lines, therefore, the finite elements are small and do not require high degree interpolating functions. The

optimization process consists of defining, for a given I-shaped profile, which configuration of the cut line produces

a castellated or cellular beam with greater load capacity. The implemented routines are validated from numerical

and experimental models found in the literature, and it is expected, from an analysis of the beams found in the

populations obtained by the evolution of the genetic algorithm, an increase in the load capacity of the analyzed I-

shaped profile.