Static and dynamic analyses of composite beams with interlayer slip

The present paper gives analytical solutions for shear deformable two-layer beams with weak shear connections. Timoshenko's kinematic assumptions are applied to both layers with dierent cross-sectional rotations. A linear constitutive equation is used between the horizontal shear force and the interlayer slip. The applied loads act in the plane of symmetry of a two-layered beam and the material-geometrical properties do not depend on the axial coordinate. For simply supported beam closed form solutions are derived for the deection, slip and cross-sectional rotations. The eigenfrequencies of a simply supported beam are determined and compared with the solutions obtained by the applications of Euler-Bernoulli and Euler-Bernoulli-Rayleigh beam models.