Interconnected arches are conceived by fusing two or more planar arches at their centres; like the ribs of an umbrella. They offer three-dimensional structural robustness of shells and analytical simplicity of planar arches. Furthermore, just as an umbrella flips upside down in strong winds, interconnected arches are observed to be bistable. In this paper, a shallow interconnected bistable arch with pinned boundary conditions is subjected to a transverse load at the centre. We analytically model the resulting post-buckling behaviour and describe it by obtaining the force–displacement characteristics. The analytical model accounts for bending, compression, and torsional energies developed in the interconnected arch as it switches between its stable states. The bistable behaviour and dependence of the geometric parameters of the connected arch predicted by the analytical model are validated with the results from nonlinear finite element analysis and table-top experiments.