The efficiency of the use of cross-corrugated beams can be increased by tilting the corrugations on the supporting sections of their walls. The paper presents the results of a study of the stress-strain state of steel I-beams with a thin inclined-corrugated wall, depending on the angle of inclination of the generatrix of the corrugations to the plane of the cross-section of the beam. The finite element models of beams with different inclination angles of the generating corrugations (corrugation profile triangular continuous open) are presented, as well as the results and a brief analysis of numerical experiments carried out using the software package LIRA-SAPR. In the course of the experiment, for each model, the forms of wall buckling with safety factors, deformed schemes and distribution isofields of normal, tangential and principal stresses in beam elements were obtained. The presented results indicate an additional increase in the stability of the wall with downward corrugations, a change in the forces in the chords of the beams, and a slight increase in their deformability.