Optimización para el predimensionamiento de zapatas aisladas de esquina utilizando Smath Studio

Abstract

This work analyzes the optimized design of isolated corner footings with connecting beams, which are fundamental elements in building construction. The research is based on the need to automate and improve the design process of these structures, which is traditionally conducted manually and prone to errors. The methodology used included a literature review, the development of algorithms and flowcharts, and their implementation in SMath Studio. The programming model is based on the methods proposed by José Calavera and Pablo Galletero, which innovatively incorporate polynomial regressions based on SAFE computational models in the solution of the connecting beams. The main result is software that automates the design of isolated corner footings with connecting beams, providing accurate and efficient calculations. The program features an intuitive interface for data entry and generates detailed graphs of the dimensions and distribution of reinforcing steel. The software was validated by comparing its results with examples from the literature and models in SAFE, showing an average error of 6.05%. In conclusion, this software represents an innovative solution for designing isolated corner footings, significantly reducing calculation time and minimizing errors. The tool will benefit students and professionals in civil engineering, improving precision and efficiency in foundation design. Furthermore, the applied methodology lays the groundwork for future research in the field of foundations and the use of machine learning in structural design.