Abstract: A method for assembling a ring by shrinking the ring onto a shrink-fitting surface of a part, the shrink-fitting surface being turned radially away from a reference axis, the part having a free upper end and an inner wall extending around the reference axis turned radially toward the reference axis and extending axially while delimiting at least part of an axial cavity. The method including the steps of forming, on the inner wall, splines extending axially; shrinking the ring on the part so that a lower transverse face of the ring comes into abutment against a shoulder of the part. After the step of forming the splines and prior to the step of shrinking the ring onto the part, radial elastoplastic expansion of an upper portion of the part results in a widening of the shrink-fitting surface and of a portion of the splines.