A process for producing a bonded connection between first and a second parts, with a length of superposition around a longitudinal axis, these parts being subjected to forces in at least one longitudinal direction, includes producing a bonded connection having at least one interior and/or exterior adhesive joint, over the length between the parts, the joint having a cross-section around the longitudinal axis, the thickness of the joint varying from a free edge on the end-fitting side, to the other free edge on the tube side, and following the direction of forces to which the parts are subjected so as to better distribute the overstresses over at least one part of the length. At least one adhesive joint is produced, having in the longitudinal direction a large thickness facing each of two free edges relative to the thickness in a median part.