Foundation settlement of structures may take place and it may influence the structural behavior of structures. Shallow arches are used in engineering structures such as large span roofs and bridges. This paper is concerned with the effects of the foundation settlement on the in-plane buckling of shallow circular arches under a uniform radial load. Because the deformations of a shallow arch prior to buckling become nonlinear, their effects on the buckling also need to be considered. Differential equations of equilibrium for the nonlinear analysis are derived using the principle of virtual work. Analytical solutions for the nonlinear behavior and for the nonlinear buckling load are obtained. It is found that the foundation settlement plays an important role in the nonlinear structural response of the arch to the external load and that significantly influence the nonlinear buckling load of the arch.
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