Influence of bimoment on the torsional and flexural–torsional elastic stability of thin-walled beams

•The influence of bimoment on axially compressed thin walled beams is studied.•Torsional and flexural-torsional buckling are investigated.•Stability problem is investigated through the analysis of thin-walled Z-section beam.•The offered solution is adapted for technical applications.•Bimoment induced by axial force significantly affects the accuracy of the solution.

This article studies the influence of the bimoment on the buckling of thin-walled beams with open cross section subjected to axial loading. In the case of torsional and torsional-flexural buckling of thin-walled Z-section beam, it is shown that influence of the bimoment could be of importance in the assessment of buckling loads. In order to verify the accuracy and validity of this analysis, the obtained results are compared with those calculated by ANSYS software.