Análisis Técnico-económico de Naves Industriales Mediante Interpolación no Lineal de Lagrange

Due to the significant increase in the construction of industrial buildings in Ecuador, it is necessary to perform a technical-economic analysis to determine the incidence of the cost of materials on them. For this purpose, a sample of 40 industrial buildings was prepared, establishing the relationship between free span (L), gantry height (H) and distance between gantries (B), with the purpose of determining a metric. For this study, the weight of the structure was established in kg/m². With the results, a mathematical model was applied (Lagrange interpolation), a polynomial was obtained that describes the model of each group of ships and its graphical representation, therefore, an approximation of the weight of structures was determined. The metrics that were found have a direct impact on the cost of the materials of the structures, these were obtained by multiplying them by the cost per kg of steel. A check was made with a sample of 6 vessels, in which the weight was found using the design by load and resistance factors and then with the polynomial; obtaining an error: for vessels modulated at 5 m, an average of 0.03 % with a deviation of 0.03 and for vessels modulated at 6 m, an average of 0.07 % with a deviation of 0.03.