Abstract: For composite beam with adhesive layers, taking slip displacement of the adhesive layer into account and assuming bending of an Euler-Bernoulli beam, the bending of simple-supported composite beam with a uniform load is studied. With fundamental unknowns of deflection and axial displacement, an analytical solution is obtained. Responses of deflection at the beam’s mid-point, slip displacement and shear force of the adhesive layer at the beam end versus the shear modulus and thickness of the adhesive layer are examined for different beam lengths. Further, the natural frequency of a simple-supported composite beam is studied. The expression is obtained with separation of variables. Influences of shear modulus and thickness of the adhesive layer on the first natural frequency are examined. It is revealed that the thickness and shear modulus have a great influence on the deflection of the composite beam and slip  displacement of the adhesive layer. They have a little influence on the shear force of the adhesive layer. The shear modulus of the adhesive layer has a reater influence than that of the thickness on the first natural frequency of the composite beam.

Key words: analytical solution, natural frequency, slip of adhesive layer,  bending deformation, composite beam