Theoretical Research on the Calculation of Bending Moment at Arc Vault in Steel Corrugated Plate

摘要

In order to study the calculation theory of bending moment at the arch vault of steel corrugated plate, based on the summary of CHBDC (Canadian Highway Bridge Design Code), the internal force calculation of arch structure in steel corrugated plate is explored from a new angle. First, according to the theory of structural analysis, two hinged arches are taken as the basic system to establish a canonical equation of force method, the analytical value of vault bending moment is obtained, the formula and form are provided. Second, considering the interaction between structure and soil, the relative stiffness of soil and structure can be solved qualitatively by deriving the formula of deformation ratio, and two important parameters reflecting the relative stiffness of soil and structure are obtained: axial stiffness coefficient αp and the relative stiffness coefficient αs. Third, combined with the results of structural finite element analysis, by changing the area A of section, moment of inertia I, secant modulus of soil Es, filling height H and other parameters, we discussed the influence of these parameters on vault bending moment and the corresponding fitting formula is obtained: ζM=1-0.22log10 (L3Es/ EI), which is defined as the correction coefficient of bending moment. After the correction of the true bending moment value obtained by the coefficient structural analysis, the obtained bending moment is the true bending moment at arch structure of the steel corrugated plate. Finally, a typical example is used, by using the method of this paper, CHBDC method and finite element method to calculate the bending moment of vault, the comparative analysis results show that this method is scientific and rational. It provides corresponding theoretical guidance and practice reference for the research and engineering application of this kind of structure.