Comparison of Analytical and Computational Methods for the Analysis of Hyperstatic Structures

This article aims to compare analytical and computational methods applied to the analysis of hyperstatic structures, focusing on understanding the advantages, limitations, and practical applicability of each approach. Hyperstatic structures, having more constraints than necessary for equilibrium, require specific methods for accurate analysis. The main theoretical foundations of analytical methods, such as the force method and the displacement method, traditionally taught in engineering courses, are addressed. Subsequently, the role of computational methods is analyzed, with emphasis on the Finite Element Method (FEM), widely used in structural engineering software such as SAP2000, Robot Structural Analysis, and Ftool. The adopted methodology included the analysis of a beam with double supports at each end, initially solved using analytical methods and later modeled in a computational environment. The results showed that, although both methods lead to similar solutions in terms of internal forces and displacements, execution time and calculation complexity differ significantly. Analytical methods offer greater transparency in the processes and are useful for conceptual understanding,but become impractical for complex structures. Computational methods, on the other hand, provide agility and versatility, although they require proficiency with the tools and critical validation of the results. It is concluded that the combined use of both methods is essential for the education of engineers, uniting solid theoretical foundations with current technological practice.