Bending of two-layer beams under uniformly distributed load – Analytical and numerical FEM studies

Abstract

The subject of the paper are two-layer beams with various mechanical properties, thicknesses and widths of the layers. The original nonlinear hypothesis-theory of planar cross section is developed. Based on the principle of stationary potential energy three differential equations of equilibrium are obtained. The system of the equations is analytically solved and the deflections and normal and shear stresses of example beams are calculated. The analytical calculation results are compared with numerical solutions obtained with FEM (SolidWorks). These results are presented in Tables and Figures.