El método de las fuerzas aplicado a pórticos puede partir de cualquier sistema continuo

Abstract

With the development of information technology and hardware, computer programs focused as assistance tools for the different branches of civil engineering have made important advances, providing increasingly accurate and closer to reality results. Within structural analysis and design, developers have generally focused on optimizing computational processes, linking matrix analysis to modeling and problem solving, thereby simulating the behavior of structures under specified conditions using various methodologies. In most professionally licensed programs for the analysis and design of structures, the displacement method has gained advantage, due to the ease of systematization that it has in each of the processes, in addition to the optimization that it allows by including a smaller number of equations than other alternative methods. Within this context, other methods have been left aside, such as the method of forces or flexibility, whose main defect attributed to it lies in its open possibility of solution, meaning that, in the case of structures such as frames, it is allowed to start from ''infinite'' base systems, presenting multiple associated solutions, to reach the same result. These characteristics of the flexibility method make it difficult to automate the analysis processes, becoming a disadvantage. However, the virtues offered by this method, overcoming said first obstacle, as will be seen in the development of this work, are valuable, important and bring with them a wide range of possibilities within the study of structures. Thus, in this degree work, the process of systematization and programming of the flexibility method is shown, approachable to any frame, be it continuous, have free bonds, be it isostatic, hyperstatic, etc., always starting from a continuous system in all its supports and internal ligatures, complementing the exhibition with a user manual that allows the resolution of any frame under the specified conditions