We present the effect of warping constraints on the buckling of a thin-walled two-bar (‘Roorda’) plane frame subjected to a ‘dead’ load at the joint. The hinges with the ‘ground’ allow rotation with axis perpendicular to the frame plane; the joint is constrained in the same direction to simulate a 3D-frame. Warping constraints are considered; the restraint at the joint is first supposed rigid and fixed, then is supposed linear elastic to account for different lateral restraint. Critical loads are evaluated numerically; an analysis of the post-buckling behaviour will be part of future investigations.