Abstract
The stress-strain state of a small railway bridge with a beam design is considered in the article for the case of offsetting the track panel axis relative to the bridge axis by the value exceeding the limit determined by regulatory documents. The differential equation is considered in the analytical calculation of the behavior parameters and the state of the span under the action of the load. This equation describes the vertical vibrations of the beam and allows considering them as a combination of forced and free vibrations. In numerical modeling, the finite element method is used as the solution procedure. Determining equations of the method contain linear and angular displacements of nodes in the model as unknowns. As a result of the calculations, graphical dependences for normal and horizontal displacements, internal forces, principal and equivalent stresses at various points of the span are obtained. Values are presented that show an increase in bending and torsional forces, as well as in principal stresses when the axis of the railway track is displaced relative to the bridge axis.
Highlights
Artificial structures form an integral part of the railways, both operated and yet only designed, and in the latter case, bridge crossings and transport tunnels are more common than in historic projects
The presented graphic results of digital modeling allow estimating the location of the most loaded span zones, when the vehicle is moving with an offset of the track panel axis relative to the bridge axis
Conducted analytical and numerical studies showed the following: 1) The maximum bending moment in one of the span beams when passing a car with an axle load of 20 tons is 710 kN m in case of no displacement of the track panel relative to the bridge axis
Summary
Artificial structures form an integral part of the railways, both operated and yet only designed, and in the latter case, bridge crossings and transport tunnels are more common than in historic projects. This is due to the development of construction technologies, the emergence of new structural materials, with more stringent requirements for shrinkage of the upper track structure, as well as to an increase in the rolling stock speed and an increase in axle load and the total weight of trains. The goal of the research was to optimize the mutual influence of the vibrations of stationary structures and vehicle elements under various movement modes of rolling stocks and various types of movable load in them [3, 4]
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