[Purposes] An internal force calculation method for hinged prefabricated anchor frame beams was proposed, providing a theoretical basis for the design of a hinged frame beam. [Methods] Firstly, the stress model of the frame beam was simplified into a multi-stage Winkler elastic foundation beam connected by hinged points. Then, based on the boundary and continuity conditions of the beam, the analytical solution of the internal force of the beam was obtained. The stress and deformation characteristics of the hinged frame beam structure and the existing cast-in-situ frame beam structure were analyzed by numerical examples, as well as the stress-induced deformation characteristics of the hinged frame beam structure under different anchorage forces, foundation reaction coefficient, section size, cantilever length and hinged position. Finally, the accuracy of the calculation results in this paper was verified by comparing the actual monitoring data with the theoretical calculation results in this paper. [Findings] The rationality of the internal force analytical solution is verified by comparing the degradation of the obtained solution with the existing one. When other parameters are the same, a larger anchorage force means a larger cantilever length and larger distance from the hinged position to the anchorage point, resulting in a larger maximum bending moment value of the hinged structure. The foundation reaction coefficient and section size have a significant effect on the bottom displacement and rotation angle of the frame beam structure. As the foundation reaction coefficient and section size increase, the bottom displacement and rotation angle decrease, while the bending moment and shear force are basically unchanged. Through the analysis of field monitoring data, the field measurement results are consistent with the trend of internal force calculation results in this paper. [Conclusions] The analytical results of the internal force of hinged frame beams are reasonable, and the law of stress-induced deformation can provide a reference for the design of hinged frame beams.