| Steel-concrete composite beams are widely used in building and bridge construction because of the advantages they offer in terms of stiffness and strength. To develop composite action, steel studs, which are frequently used in practical engineering, and other shear connectors are used to transfer the shear force between the sub-components. Interlayer slip is often inevitable between the sub-elements, inducing the degradation of bending stiffness and additional incremental curvature and deflection in the composite beams.Exact procedures for static linear-elastic analysis of composite beams with interlayer slip are presented. An efficient second-order algorithm using two second-order ordinary differential equations in terms of interlayer slip and deflection is established to calculate the interlayer slip and the deflection of composite beams and exact closed-form solutions for four Euler boundary conditions are derived according to their boundary conditions. The internal forces of composite beams with interlayer slip are also derived. Compared with the higher-order algorithm, the second-order algorithm can simplify the calculation of the deflection of composite beams with interlayer slip and gives relatively comprehensive solutions.For different loading and boundary conditions, considering the complexity of the exact solutions, the concept of an effective length coefficient is introduced and an effective bending stiffness is derived to calculate the deflection of composite beams with interlayer slip. An effective bending stiffness method is utilized.Four effective length coefficients are achieved by minimizing the error between the effective and the exact deflection for four Euler boundary conditions subjected to uniformly distributed load. The effective length coefficients are also suitable for the calculation of the deflection of composite beams subjected to point load.The results using the proposed effective bending stiffness for different loading conditions are compared with results from exact analyses and it is shown that the proposed approach compares favorably with existing methods in the literature and is a viable technique for practical engineering. |