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Robust geometric and material nonlinear analysis of buildings under ultimate loads is a key to success of advanced analysis, performance-based seismic design and progressive collapse analysis. This is the second part of two companion papers about the advanced analysis of hybrid steel and concrete frames allowing for various effects such as initial imperfections, gradual cracking effect and geometrical and material nonlinearities. Besides the use of Pointwise–Equilibrium–Polynomial (PEP) element allowing for initial imperfections and the P–Δ–δ effects by one element per member, the plastic hinge approach is refined for modelling of material yielding. In order to assess the sectional strength, the cross-section analysis technique described in the companion paper is utilized in this paper for analysis of steel reinforced concrete (RC) and steel-concrete composite (SCC) sections. Cracking in concrete component …