Introduction: In order to analyze the displacement and internal force of composite steel-concrete beams under the vertical load, The finite element solution of composite steel-concrete beams under concentrated loads considering the existence of interface slip and vertical uplift based on the basic idea of elastic mechanics was derived in this paper. Method: A new kind of stiffness equation of bar system was got and its correctness was demonstrated with experimental value, the problem of composite beams considering the existence of interface slip and vertical uplift was solved, avoiding to produce large amount of calculation with the body element method. Results and Conclusion: It can be seamlessly integrated into the current engineering design software, which provides effective help to practical engineering problems.

In order to analyze the integral forced performance of external prestressing and carbon fiber reinforced beam, the analytical solution of the carbon fiber-concrete composite beams under the vertical concentrated load and external prestressing was derived in this article based on the classical theory of elasticity and contact. The deflection curve equation and the transverse distributing influence lines of simply supported beam after the joint reinforcement were obtained based on the eccentric compression method, and the results of simply supported beams with or without joint reinforcement were compared. The results show that the integral forced performance of external prestressing and carbon fiber reinforced beam was effectively improved, and the new calculation method of transverse distribution factors has a practical value.