The present invention relates to a method of establishing a press fit of a component with a mounting hole on a shaft. It aims at providing a method that allows exact positioning of the component to be mounted on the shaft as well as a flexible way of use. To this end, the method is so conceived that an inner surface of the mounting hole of the component and/or a circumferential surface of the shaft is/are partially fused so that calotte-shaped projections protruding beyond the inner surface of the mounting hole and/or the circumferential surface of the shaft will form, that the component and/or the shaft is/are subsequently cooled, so that the calotte-shaped projections will solidify, and that the component is then slipped onto the shaft until the mounting hole is positioned in a fastening area of the shaft. In addition, the present invention also relates to components for establishing a press fit of a shaft-hub connection.