Diseño a Flexión de Vigas de Hormigón Simplemente Apoyadas Utilizando Lógica Difusa

Abstract

Concrete reinforced beams are essential structural elements that are commonly used in every infrastructure, which makes their design to become recurrent. Several construction building codes are utilized for designing beams using equations or correlations to compute the area of steel needed. The present study illustrates an alternative framework in order to determine the area of steel for reinforced simple supported concrete beams, subjected to uniform loads through the use of fuzzy set theory. A Sugeno type Fuzzy Inference System (SIL) was developed based on actual data resulting from using the ACI 318-14, a United States building code, and the use of subtractive clustering method and ANFIS. The results indicate that the Sugeno type fuzzy model is able to predict new data very well (R²=95.5%), and that it could actually be used for designing concrete beams since the actual area of steel placed in the beam is not necessarily exactly the same as the calculated area. Furthermore, the proposed methodology could be extended to the design of other structural elements as long as real or experimental data are available for performing the fuzzy modeling.