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In this paper, we study the response of 2D framed structures made ofrectangular cells, to the sudden removal of columns. We employ a simulationalgorithm based on the Discrete Element Method, where the structural elementsare represented by elasto-plastic Euler Bernoulli beams withelongation-rotation failure threshold. The effect of structural cellslenderness and of topological hierarchy on the dynamic residual strength afterdamage $\ROne$ is investigated. Topologically \textit{hierarchical} frames havea primary structure made of few massive elements, while \textit{homogeneous}frames are made of many thin elements. We also show how $\ROne$ depends on theactivated collapse mechanisms, which are determined by the mechanical hierarchybetween beams and columns, i.e. by their relative strength and stiffness.Finally, principles of robustness-oriented capacity design which seem to be incontrast to the conventional anti-seismic capacity design are addressed.

Hierarchical structures for a robustness-oriented capacity design