Beams subjected to transverse loads are particularly susceptible to lateral-torsional buckling, a critical stability issue that can drastically reduce their load-carrying capacity. This elastic phenomenon occurs when a combination of bending and twisting deformations leads to a lateral displacement of the beam in the compressed zone, which may ultimately cause failure if not properly accounted for. Conventional analytical models for studying this elastic buckling problem typically consider only the vertical position of the applied load, focusing on the movement parallel to the beam’s web. These models, neglect the impact of load placement along the beam's flange length, which is orthogonal to the web. In such cases, the eccentricity of the load can generate a torsional moment that, depending on the beam typology, results in additional internal forces, such as a bimoment. This bimoment can introduce non-negligible stress concentrations, leading to a more complex and severe stress state than predicted by simpler analyses. Failing to consider these effects may result in an inaccurate assessment of the beam’s overall structural performance. Therefore, a more comprehensive understanding of the load's influence in multiple planes is essential for accurately predicting the elastic stability and capacity of beams under generic load conditions. In the paper, after a short recall on the Vlasov theory, a parametric numerical analysis with a finite element software is proposed, studying the elastic buckling load of isolated beams element, by varying their length, the cross-sections shape and dimensions and the load position. In particular it is showed the importance of considering the presence of the bimoment also on the lateral buckling of beams under transversal loads. Finally, numerical results are then compared to a refined theoretical model which the aim to extend the actual equation worldwide used to evaluate the critical moment of beams.