Model and uncertainty of compressive load capacity of steel equal angle connected by one leg

Steel angle often connects with single leg for construction convenience, which introduces uncertainties in load eccentricity and restraint, making capacity complex to calculate precisely. This research aims to establish a stability coefficient distribution pattern applicable for a wide range of section dimensions, and investigate the effect of structural uncertainty on it. Experiments were conducted to validate the FE models. Subsequently, stability coefficients under commonly used section dimensions were obtained, and influencing parameters were evaluated. Sensitivity and uncertainty analyses were employed to study the impact of structural uncertainty. It was found that the stability coefficients of steel angle connected by one leg form a distribution band, for which a mathematical model was developed. Connection plate dimensions had significant influence on the stability coefficient. Considering structural uncertainty, yield strength and element dimensions had notable sensitivity. And the stability coefficients of the steel angle followed a normal distribution with negative skewness. Therefore, the influence of structural uncertainties cannot be underestimated in the analysis of capacity, and this study provides a reference for their quantitative assessment.