To ensure the safety of buildings and structures, it is necessary to analyze the structural integrity (robustness). The results of various studies show that arches with radial ties make it possible to create an architecturally expressive, cost-effective material consumption solution to the problem of girders bridging in public buildings, but the robustness of these systems is poorly studied. This article presents the results of the failure analysis of the coating elements in the form of combined steel arches with radial ties under various failure scenarios, the robustness of the n-th level in a static formulation is investigated, considering the geometrically nonlinear nature of the system operation, constructive measures are proposed to increase the robustness of a combined arch system with radial ties. The calculations were performed in the SCAD Office software 21.1.9.11. For the considered fragment of the scheme in both scenarios, the robustness index Irob > 98.5% corresponds to the local nature of the excess of the load-carrying ability, Irob ≤ 98.5% - to disproportional. As soon as the asymmetric prestressing of the arch by ties disappears, which occurs when the most loaded ties are turned off step by step, the system either satisfies the strength and stability tests, or the number of elements in which the load-carrying ability is exceeded significantly decreases. Increasing the structural integrity of the structure by introducing chordal ties into the scheme contributes to increasing the robustness of the considered arch system.