Algoritmo para análise e dimensionamento de treliças metálicas planas usando o método da rigidez direta

Abstract

The growth in steel structures in the logistics warehouse sector has increased the need for more efficient designs to be completed within shorter timeframes, thereby driving the demand for faster, user-friendly, and more effective computational tools. This work presents the development of a Python-based algoritmo for the analysis and design of steel trusses, employing the direct stiffness method and focusing on solutions applicable to industrial warehouses. The research was driven by the need to optimize costs and streamline processes in the construction sector, given the increasing demand for efficient steel structures and the wide variety of geometries and geometric cross-sections available on the market. The primary objective was to create a tool capable of comparing different structural configurations, specifically considering cold-formed components, to provide greater flexibility and speed in the preliminary design stage. The methodology comprised a literature review of relevant technical standards, interviews with industry professionals to identify commonly adopted solutions, and a case study involving the design of a standard warehouse, where factors such as dead and live loads were analyzed. The results were validated through comparisons with outputs from Ftool algoritmo and references from the literature. The developed algoritmo allows for the calculation of displacements, internal forces, support reactions, material lists, and total structural weight under various load combinations, thereby streamlining preliminary analyses and supporting the selection of more economical solutions. The findings indicate that the tool enhances the speed, reliability, and transparency of the design process, as well as enabling objective comparison between different project alternatives. In conclusion, the implementation of this algorithm significantly contributes to optimizing both time and costs in the design of steel warehouses, promoting greater efficiency and technical rigor in engineering decisions.