Dealing with structural robustness concept requires to investigate whether or not a structure can prevent a disproportionate collapse after the occurrence of a local failure due to an exceptional event. Numerical models can be used to simulate progressive collapse and help quantify the robustness level at a design stage. Non-linear static or dynamic finite element analyses are commonly used tools for structural performance assessment. However, computational time might be in most cases too large for complex structures where several local failure scenarios need to be investigated, and one may encounter convergence issues if the loads applied are close to the limit ones. In this context, this study proposes a framework for studying the progressive collapse of framed structures, which combines both the yield design approach and the non-linear analysis method. This proposed framework is applied to a steel-framed multi-storey building submitted to column(s) loss.