THE CALCULATION OF STRESS-STRAIN STATE OF THREE-LAYER BEAM TAKING INTO ACCOUNT EDGE EFFECTS

Abstract

The work is dedicated to the calculation of the stress-strain state (SSS) of the three-layer beam (TLB) subject to boundary effects.In this paper, a system of differential equations of equilibrium of the threelayer beam. To solve these equations, it is necessary to know the 12 boundary conditions, co-which depend on support conditions and loading of sandwich beams under study. This system of equations is solved by the application package of mathematical modeling "Maple 5.4." The solution of this system we obtain expressions for determining de-formations and stress all components (bearing layers and filler), a three-layer beam anywhere under specified conditions of fastening the ends of the beam and its loading.

Keywords

• boundary conditions
• three-layered cylindrical shell
• three-layer beam
• the carrier layer