This paper presents the results from an investigation into the behaviour, strength, and design considerations of austenitic stainless steel hot-rolled equal-leg angle short columns under “cylindrically pinned” boundary conditions (i.e., with restrained major-axis bending condition) subjected to eccentric loads. Four experimental tests were conducted considering equal-leg angle sections with a width-to-thickness ratio (b/t) of 13.33 and a short column length (L) of 275 mm to assess the influence of eccentricities along the major axis, which induces minor-axis bending into the cross-section behaviour. The eccentricities were set at 0, 10, 20, and 30 mm from the centroid of the cross-section, ensuring that the legs’ ends were subjected to compression, aiming to evaluate the ultimate strength of the cross-section and the associated failure modes. The experimental results indicate that increasing eccentricity significantly reduces the ultimate strength of these compression members. Despite this reduction, the failure mode observed remained consistent across the different levels of eccentricity investigated. Subsequently, a shell finite element model is developed in Ansys software and validated against the experimental results to investigate these members’ (i) elastic buckling, (ii) post-buckling behaviour, and (iii) expand the investigation through a parametric analysis to include additional equal-leg angle cross-section geometries, varying column lengths, and different levels of eccentricity. Finally, (iv) this dataset is employed to assess the design provisions strength forecast outlined in the European standard for structural members made of stainless steel, Eurocode 3 - Part 1.4.