Probabilistic modelling of residual stresses in cold-formed rectangular hollow sections

This study revisits residual stress models of cold-formed rectangular hollow sections (CFRHS). Residual stresses of CFRHS have a complex distribution that varies along the cross-sectional perimeter and through the material thickness. The distribution depends on the manufacturing methods and steel grades, which constantly evolve. Existing residual stress models are based on old measurements and for normal strength steel specimens (nominal yield strength fy,nom ≤ 460 MPa). This study evaluates the suitability of these models for modern CFRHS made of normal- and high-strength (fy,nom > 460 MPa) steels. Evaluation is carried out as an extensive analysis for a data set, which is collected from the literature, and supplemented with new measurements made for grade S700 specimens. As a result of the evaluation, an updated residual stress model is proposed, which combines the best suitable features of the existing models with slight modifications. The proposed model is valid for CFRHS made of steel grades up to S960. The model can be used in the advanced analyses of CFRHS structures. Additionally, statistical information is provided for the residual stress components such that the model can be used in probabilistic modelling and reliability studies. •Residual stress models of cold-formed hollow steel sections are revisited.•Residual stresses of high-strength steel specimens are measured.•A statistical residual stress model for reliability studies is developed.•Residual stresses are determined in longitudinal and transversal directions.•The proposed model can be used in the advanced analysis of steel structures.