Elastic bending and buckling of a steel composite beam with corrugated main core and sandwich faces-Theoretical study

The subject of the paper is a seven-layer steel beam with transverse sinusoidal corrugated main core and two sandwich faces with steel foam cores. Two analytical models of the beam are formulated. The first model includes only a shear effect of two cores of the faces, while the second one includes a shear effect of the main core and two cores of the faces. The first model is described by two differential equations of equilibrium, and the second one by three differential equations of equilibrium. These equations are solved for three-point bending and axial compression of the beam. Moreover, the FEM model is elaborated and deflections and critical forces are calculated for the example beams. Results of these three models are presented in Figures.