The article considers the compliance of a rigid assembly of a steel column of a typical I-section under the loads of an eccentric-compressive load with a random eccentricity. A simplified scheme of pinching a rigid hinge is considered as well as its detailed version in which the rigid part of the rod is elaborated as a basement, foundation plate, cross-arm and anchor bolts with plates. The authors carried out numerical studies of this site using a computer complex Abaqus 2017. Analysis of the results showed that the inclusion of compliance at a sufficiently accurate numerical simulation gives the same value for compressive forces. Thus, this node can be considered rigid, and the coefficient of buckling is almost equal to the theoretical value.