Based on the member bars of one end fixed and one end free, it is a new method to study the relationship between the two ends of the curved beam by using the principle of virtual work and the balance equation. By analyzing the plastic hinge and the plastic region model of the curved beam, the transfer relation of the plastic hinge and the plastic region model is deduced by using the transfer matrix method of auxiliary system. Compared with the traditional initial parameter method, the transfer matrix method is more accurate and the calculation program is simpler. The results show that the transfer matrix method is correct and effective, and it can simulate the failure process of elastoplastic better and can be used for the initial design and final check-up of the curved bridge structures.