An algorithm of finite-element modeling has been developed in a geometrically nonlinear setting of steel plane trasses which are pre-stressed using high strength cables, in the event of emergency in the form of single cable breakage. The application of framework gravity forces, consecutive introduction of tie bars and their pre-stressing, application of running load and emergency impact have all been monitored. Herewith, the condition of static loading using the dynamic relaxation method has been simulated. A factor taken into consideration is non-linearity associated with the inclusion of new cables into the framework, analysing the possibility of their behaviour strictly under tension, and removal of a cable from the loading system in the event of its breakage. The problem has been solved using numerical integration based on the development of the Newmark method via deriving equations of equilibrium of a discretised structure in the deformation state during each step of integration. The operability of the suggested algorithm is illustrated by the example of a steel truss with a span of 60 m, including two cables. The dynamic behaviour of an object is considered at a sudden breakage of the pre-stressed cable.
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