An Analysis of Buckling of Variable Cross Sectional Arches with Any Shape

In-Plane finite deformation theory of the rib arch as a main structure of arch bridge has been developed to require arbitrariness and generality in regard to loading condition, variable cross section, plane /shape of the arch axis and boundary condition. At the same time, the theory has been developed higher considering the effect of arch weight, initial inperfection, extensionality of arch axis and shear deformation In this paper, buckling problem of fixed arch, 1-hinged arch, 2-hinged arch and 3-hinged arch with arbitrary plane shape of arch axis were analized under arbitrary loading condition, considering the effect of extensionality of arch axis and shear deformation. As the result of numerical analysis concerning the buckling load, the effect of span rise ratio, plane shape of arch axis, boundary condition and loading condition were clarified