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Highlights: [•] An analytical model for the collapse of 2D frames after column removal is presented. [•] The collapse-mechanism-dependent expressions of the collapse load are obtained. [•] A parameter is derived, which predicts what collapse mechanism is triggered. [•] The results are compared to data from dynamic nonlinear simulations. [•] The proposed analysis can facilitate a preliminary robustness-oriented design. [Copyright &y& Elsevier]

In this paper, the response of two-dimensional framed structures made of rectangular cells to the sudden removal of columns is studied. A simulation algorithm based on the discrete-element method is employed, where the structural elements are represented by elasto-plastic Euler-Bernoulli beams with elongation-rotation failure threshold. The effect of structural cell slenderness and of topological hierarchy on the dynamic residual strength after damage is investigated. Topologically hierarchical frames have a primary structure made of a few massive elements, while homogeneous frames are made of many thin elements. It is also shown how depends on the activated collapse mechanisms, which are determined by the mechanical hierarchy between beams and columns, i.e., by their relative strength and stiffness. Finally, principles of robustness-oriented capacity design that seem to be in contrast to the conventional antiseismic capacity design are addressed. [ABSTRACT FROM AUTHOR]