The paper describes promising structures of clip (friction-screw) connections with incomplete sweep of shaft used in the axial fans of pressurization of gas pumping units. The contact problems of interaction between semi-hubs and shaft for the generally asymmetric relatively the joint bolt connections are formulated. Two types of interaction are investigated: with and without lateral displacement. Based on a priori assumption about the distribution laws of contact pressure accepted in traditional courses of “Machine Details” an engineering method for calculating of clip connections is developed. Herewith different types of details coupling (with a gap, matched, with tightness) correspond to concentrated, cosine and sustainable (linear) distributions of contact stresses. There are determined an analytical dependences of limited moments and breakloose forces on spanning angles, bolt tightening force and tribological properties of joined parts of subassembly. The examples of comparative calculation for the variants of clip connection have been presented.