This work deals with the study of ratcheting for extruded 2017A aluminum alloy subjected to different loading conditions: unsymmetrical one-dimensional stress control as well as multi-dimensional combinations of stress-stress or stress-strain control. All tests have been conducted within the small strain assumption conditions at room temperature. The results point out the absence of ratcheting under unsymmetrical torsional stress control which enlarge the result given in (Taleb, L., 2013, Int. J. Plast., 43 (2013), 1-19) in which the absence of ratcheting under unsymmetrical tension-compression is demonstrated for the same material. However, under constant axial stress and cyclic shear strain, ratcheting is clearly observed. The results may be explained mainly by the evolution of the isotropic cyclic hardening exhibited by the material.