Single angle members are mostly subjected to eccentric forces due to the end connections at their legs. Current design codes generally allow for considering the advantage of the plastic reserve of single angle cross-sections. However, the available interaction equations to combine the effect of biaxial bending are linear which contradict the fact that the plastic surface of the single angle cross-sections is nonlinear as provided in the literature. In the current study, a reliable and efficient three-dimensional finite element model (FE) is provided to investigate the behavior of the member under eccentric forces. The well recognized residual stress distribution pattern together with the initial geometrical imperfections are incorporated in the current model. Based on the results of the FE model, the elastic flexural and flexural-torsional buckling loads for equal and unequal leg angle members are provided using a simplified equation rather than the complex ones available in current design codes. Finally, a new buckling curves taking the Eurocode design rules into account, are presented for single angle member subjected to eccentric load about both major and minor principal axes.