Optimized dimensioning of reinforced concrete hollow polygonal sections using sequential linear programming

Flávia Castro de Faria¹; Amilton Rodrigues da Silva¹

¹ UFOP

doi:10.20906/CPS/CILAMCE2017-0857

Resumo

Reinforced concrete is one of the most important materials for the construction of structural elements in civil construction. This is due to its characteristics, such as: being moldable, which allows a wide variety in the form of the elements made of this material, the low cost of materials, method of handling and scaling well diffused, among other characteristics. Among the structural elements of reinforced concrete, it is common to use hollow cross section for linear elements of reinforced concrete under the combined action of bending efforts and axial force. The main objective of this work is to use an optimized scaling algorithm to define the quantity of steel and its position within a reinforced concrete section hollow cross section that is subject to composite bending, and at the same time which quantity of steel would be minimum necessary to resist to the applied efforts. Further, the project variables are the posititions, diameter and quantity of bars that will be distributed inside of concrete hollow cross section. This algorithm was developed by the authors in previous works and uses linear sequential programming method with the Simplex Method to solve the nonlinear problem of determination of the resistant efforts of the section in relation to the design variables. Among the evaluated examples, we intend to analyze different configurations of hollow rectangular sections, all with the same concrete area, subject to the same combined bending and axial force, and to conclude which configuration of the hollow rectangular section demands a smaller amount of steel.

Palavras-chave: Hollow sections; Composite bending; Linear sequential programiming method; Reinforced concrete; Simplex