Recently, an analytical model called the generalized softened variable angle truss-model (GSVATM) aimed to predict the full behavior of reinforced concrete (RC) rectangular beams under torsion. In this article, such a model is used to compute the full torsional behavior of RC flanged beams, namely T- and L-shaped beams. The calculation procedure to include the influence of the flanges is described. A comparative analysis between the predictions from the GSVATM and some experimental results, related with RC flanged beams under torsion and found in the literature, is also presented. From this comparative analysis and for high loading levels, the GSVTM is reliable. Yet, for low loading levels, the theoretical model still needs to be refined.