# Optimized analysis of T, Circular and Rectangular cross-sections of reinforced concrete under biaxial bending

## Palavras-chave:

optimization, graphic interface, C#, biaxial bending## Resumo

He analysis of polygonal reinforced concrete sections subjected to biaxial bending is of great interest in

civil construction. Generally, its dimensioning is done through design charts, generating a section that is often

uneconomical. Therefore, this work aims to implement an algorithm capable of optimally distributing a number

of steel bars in a T, rectangular or circular cross section in such a way that it is safe and efficient for a combined

loading of moment and axial force. it is also the objective of this work, the development of a graphical interface

that stores the data provided by the user and performs the optimization and detailing of a cross section. This

algorithm uses the sequential linear programming method, where a nonlinear problem of determination of the

resistant efforts of the section is linearized, having its optimal point defined at each step using the Simplex method.

The development of this graphical interface took place through the Visual Studio Community software, using the

C# programming language. The implemented algorithm also allows considering the dimensions of the T, circular

and rectangular section as a design variable, defining an optimized section through an objective function given by

the cost of materials. Using numerical examples available in the literature, one can prove the efficiency of the

algorithm presented in this work. The results obtained were also evaluated through the axial force-moment

interaction curves, being able to observe that the optimized sections did not present slack in relation to the applied

efforts.