Optimized analysis of T, Circular and Rectangular cross-sections of reinforced concrete under 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.