# Optimizing the volume of reinforced concrete floors using grid analogy

## Palavras-chave:

Reinforced concrete, structural optimization, Grid Analogy Method## Resumo

One of structural engineering’s main goals is to model a structure able to withstand the loads to which

it is subjected, but consuming the least amount of material possible, which is the concept of structural

optimization. This article aims to use an algorithm in Python 3.0 capable of optimizing the sizes of beams and

slabs from a conventional building system made of reinforced concrete, so that the Serviceability Limit State of

excessive deflection is satisfied in the most economical way. For this purpose, the floor is modeled by beam

Finite Elements to represent both the structural beams and the slabs, in a Grid Analogy Method. For the

optimization process, it is necessary to use a library able to solve constrained minimization of multivariate scalar

function problems, in order to do this, the SciPy library is used. This framework is applied to typical sizing

examples of reinforced concrete floors and results are compared in terms of displacements and volume of

concrete.