考虑组合梁连接面的纵向滑移与竖向掀起效应，在组合梁子梁满足Euler-Bernoulli梁弯曲理论的假定下，以组合梁纵向滑移和子梁竖向挠度为基本未知量，建立了组合梁弯曲变形的控制方程。利用Laplace变换及其Laplace逆变换，得到了均布载荷作用下简支组合梁弯曲挠度、滑移位移、轴力和弯矩的解析解。假定组合梁两子梁材料和几何参数相同，重点分析了加载方式和连接面纵向滑移与竖向掀起刚度对简支组合梁弯曲变形的影响。研究表明，随着界面纵向刚度的增大，组合梁挠度、滑移位移、弯矩均先减小后趋于不变，而组合梁的轴力先增大后不变；随着界面竖向刚度的增大，上部加载时，上部子梁的挠度与弯矩先减小后趋于不变，下部子梁的挠度与弯矩先增大后趋于不变；下部加载时与上部加载情况相反；两梁所受荷载一致时，组合梁的变形及内力与竖向刚度无关。

In order to consider effects of longitudinal slip and vertical uplift of composite beam connection surface, the governing equations of composite beam bending deformation are established with fundamental unknowns of the longitudinal slip and vertical deflections of sub beams under assumption of sub-beams satisfying Euler-Bernoulli bending theory. By using Laplace transform and its inverse Laplace transform, the analytical solutions of deflection, slip displacement, axial force and bending moment of simply-supported composite beam under uniform load are obtained. Assuming that the material and geometric parameters of the two sub-beams are the same, the effects of the loading mode and the longitudinal slip and vertical uplift stiffnesses of the connection surface on the bending deformation and internal forces of the simply supported composite beam are analyzed. The results show that with the increase of interface longitudinal stiffness, the deflection, slip displacement and bending moment of composite beams decrease first and then tend to be constant, while the axial force of composite beams increases first and then remains constant; And when the composite beam is loaded from the top sub-beam, with the increase of the vertical stiffness of the interface, the deflection and bending moment of the upper beam first decrease and then tend to be constant, while the deflection and bending moment of the lower beam first increase and then tend to be constant; When the composite beam is loaded at the bottom sub-beam, it is opposite to that at the top; The deformation and internal force of composite beams have nothing to do with the vertical stiffness when the upper and lower loads are the same.