The current work intends to establish a new geometrically nonlinear model to find
the typical fields (displacements, inner forces) in circular shallow arches under the
action of a central concentrated load. Nonlinearities are taken into account through
the rotations. The primary unknown is the displacement field. The principle of
virtual work is used to find the static equilibrium equations. The analytical model is
capable of dealing with not only homogeneous but also with nonhomogeneous
material distributions as long as the constitutive model is linearly elastic and
isotropic. Comparisons with the linearized model are also performed to reveal the
differences.
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