Slope Deflection Transfer Matrix Method for Continous Beams

Abstract

The Slope Deflection Method is one of the displacement-based methods developed for structural analysis. In this study, an approach is proposed for the static analysis of continuous beams. The basis of this approach includes the Ricatti Transform, which was used in the literature to get the Transfer Matrix Method by using the Finite Element Method. In this study, Ricatti Transform was applied to the Slope Deflection Method for continuous beams. In the study, firstly, the application of Ricatti Transform to the Slope Deflection Method was shown theoretically, and then two numerical examples were solved to show the application and suitability of the presented approach. With the presented method, the number of system unknowns that are the basis for the solution is reduced, thus saving the analysis time.