At present most of the beam-track interaction studies do not consider the influence of loading-history. In this paper the longitudinal resistance expression of track considering the loading-history was derived. By combining the beam-track differential equation, the longitudinal force of track and horizontal force of pier were solved by iteration and the calculation results were closer to the
... [Show full abstract] actual situation. Taking the simply-supported beam, continuous beam and cable-stayed bridges of high-speed railways as examples, the step-by-step loading method inclusive of the loading-history was used to calculate the bending force and braking force, and was compared with the influence line and span-by-span loading. The calculation method of a variety of longitudinal forces was analyzed on the basis of the beam temperature deformation, and compared with the simple sum of them. Studies have shown as follows: The error of the method of span-by-span loading is comparatively large; by using the influence line method, although the longitudinal force of track is inclined to safety, the calculated horizontal force on the pier top is 10% to 40% smaller than the actual values; when only the longitudinal forces of rails are calculated and added together to verify examine the rails, the case should be considered when the expansion factor and braking force coefficient each being -1; when checking piers with the numerical addition method, the results are sometimes 40% smaller than actualities.