This paper deals with a numerical model for the analysis of steel and concrete composite beams with partial shear connection. A linear partial interaction theory is adopted in formulation of structural behavior, and the slip between steel beam and concrete slab is analyzed through the back-substitution technique from the first to the final element using a governing equation constructed on the basis of the equilibrium and the compatibility condition at each node. The proposed model can be effectively used in simulating the slip behavior of multi-span continuous composite beams. Finally, correlation studies between analytical and numerical results and several parameter studies are conducted with the objective to establish the validity of the proposal model.