Probability of progressive collapse Inadequacy of current design methods for progressive collapse resistance Examples of applying different strategies of progressive collapse design Types of progressive collapses Simplified methods for progressive collapse analysis Numerical case studies Measures of structural robustness and vulnerability Other related publications Nonlinear inelastic modelling of frame structures Structural analysis of frame models Vector of external forces - load patterns Nonlinear relationships in statics for corotational planar frame element Nonlinear kinematic relationships for the planar corotational frame element The main steps in the corotational formulation Equilibrium of nodal basic forces Solution of the nonlinear equilibrium equation Implementation of the Newton-Raphson method in solving the nonlinear system of e q u a tio n s Force-based element formulation - fiber model Displacement and force based element formulations On numerical integration in distributed plasticity formulation Uniaxial material models Concrete. Steel Confinement in reinforced concrete members Geometric nonlinearity t e s t s Pin-pin beam in flexure Cantilever column with horizontal and vertical forces Sensitivity of the structural response Sensitivity based on the theory of reliability Importance measures of parameters Support removal of a two span beam Sudden support removal The impact of the support removal rate Vertical pushover analysis Sensitivity study Flat slab reinforced concrete frame building Description of the structure Materials Previous analyses and experiment for progressive collapse Moment-curvatures relationships of cross-sections Model calibration based on seismic tests 3D versus 2D m odelling Impact of the column removal rate on the dynamic response Computational m o d e l Computational procedure Conclusions Vertical pushover analysis Left column removal - concentrated force Left column removal - uniformly distributed loading Central column removal - concentrated fo r c e Central column removal - uniformly distributed loading Right column removal - concentrated f o r c e Right column removal - uniformly distributed loading Sensitivity study Strain-rate dependent material properties of reinforced concrete Impact of strain rates on mechanical material properties Strain rates and corresponding dynamic increase factors in progressive collapse analyses Resistance of the frame elements Description of the finite element model Linear static analysis Before demolition One central column removed One left corner column removed One right corner column removed Linear dynamic analysis One central column removed One left corner column removed One right corner column removed Nonlinear dynamic analysis One central column removed One left corner column removed One right corner column removed