Optimization of slender reinforced concrete columns subjected to biaxial bending using genetic algorithms

Susana De Lima Pires,Maria Cecilia Amorim Teixeira Da Silva

doi:10.1590/s1983-41952021000600010

Susana De Lima Pires, Maria Cecilia Amorim Teixeira Da Silva

Open Access

https://doi.org/10.1590/s1983-41952021000600010

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Abstract

abstract: In this paper, a computational tool was developed to optimize the design of slender reinforced concrete columns subjected to biaxial bending considering the material and geometric nonlinearities rigorously. The optimization process utilizes the technique of genetic algorithms to find the best cross-sectional dimension and the best distribution and amount of reinforcement, to minimize the cost of the column subject to certain constraints of strength, stability, feasibility and regulatory. The analysis applies to rectangular cross-section of columns, and constant and symmetrical distribution of reinforcement. The results obtained by the developed software converge properly to an optimal solution or to a solution around the optimum in a significantly shorter time interval in relation to the results obtained when considering all solutions within the previously established domain. The effect of slenderness on the optimal design of reinforced concrete columns was also analyzed. The results showed that the column cost increases as the slenderness ratio increases, and steel becomes the predominant material to establish the equilibrium of the structural element.

Highlights

In an earlier paper, Pires and Silva [1] developed a numerical procedure for the design of slender columns of reinforced concrete subjected to uniaxial bending
“Optimization of slender reinforced concrete columns subjected to biaxial bending using genetic algorithms,” Rev
The computational tool composed of the GENETIC ALGORITHM and COLUMN PROCESSING programs provided answers that always converged to an optimal solution or to a solution located in the vicinity of the optimal solution

Summary

Introduction

Pires and Silva [1] developed a numerical procedure for the design of slender columns of reinforced concrete subjected to uniaxial bending. How to find the steel area of a column, whose internal loads are not known? The authors developed an iterative process that establishes the smallest area of steel necessary to equilibrate the column, based on a previously chosen reinforcement distribution. A natural progression for this procedure would be to develop it to design slender columns subjected to biaxial bending. There would be nothing new on this subject, as many researchers have studied the nonlinear behavior of slender reinforced concrete columns subjected to uniaxial and biaxial bending [2]–[12].

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