The second part of this two-part themed issue 'High strength steel structures' captures further the state of the art in design of high strength steel structures. Part I of this themed issue can be found on the virtual library (ICE, 2017). Part II features 8 papers on topics ranging from material characteristics at elevated temperature & under cyclic loads, residual stress patterns in fabricated box sections, cross-section behavior of hollow sections under different loading scenarios, assessment on Warren-type welded tubular trusses to structural performance of eccentrically braced frames with the use of dual steel grades.The first two papers focus on the material characterisation of steel materials with nominal yield strengths of 690 MPa and 700 MPa. The first paper (Winful et al., 2017) presents an experimental investigation on 690 MPa (quenched and tempered) and S700 MPa (thermo-mechanical control processed) steel materials under isothermal tests at temperatures between 20 and 800 o C. Experimental results indicate the effect of chemical composition and processing route on their elevated temperature material performance. The comparison with the European design code is also discussed. The second paper (Wang et al., 2017) illustrates the cyclic performance of steel materials with nominal yield strength of 690 MPa (quenched and tempered) with an aim to evaluating and predicting the cyclic characteristics. Results are assessed in relation to the characteristics of the normal strength steel materials in terms of the ductility requirements, the stress-strain hysteretic behaviours, cyclic hardening/softening behaviour. A combined trilinear isotropic and kinematic model is proposed for quenched and tempered steel materials with nominal yield strength of 690 MPa.Moving from material characteristics to the effect of fabrication process on the residual stress patterns at cross-section level, the third paper (Somodi et al., 2017) summarises the experimental and numerical investigations on the residual stress patterns on welded square box sections with a wide range of steel materials with nominal yield strength between 235 MPa and 960 MPa. The assessments are based on the same cross-section geometry and the same welding procedure that was used to form the box-shaped specimens. Results indicate the compressive residual stress pattern is dependent on the cross-section geometry and independent of the yield strength. The measured maximum tensile residual stress reaches the yield strength for all steel grades in the assessment.The subsequent three papers characterise the cross-section behavior of square hollow sections from different fabrication processes and at different loading conditions. The fourth paper (Gkantou et al., 2017a) first presents a numerical investigation on hotfinished square/rectangular hollow section stub columns under concentric compression to assess the current cross-section classification system. Specimens are with nominal yield strength of 460 MPa and 690 MPa. Results indicate the applicability of the cu...