ABSTRACT

Abstract

The subject of this research is to mathematically formulate the equation for the deflection of a seven layers sandwich beam. The sandwich beam consists of two facing, three cores and two binding layers between faces and core. The beam is subjected to a transverse load. The Mathematical model of the field of displacement of each layer of the beam which include a shear effect and bending moment is presented. The system of differential equation of equilibrium of the seven-layer sandwich beam is derived on the basis of the principle of stationary total potential energy. The modelled equations are analytically solved. The formula describing the deflection of the beam is obtained. The facing stress analysis of the beam is compared with analytically and theoretically. The comparison of the results obtained is in good agreement.