A shaft-gear connection comprises a shaft and a shrunk-on gear that has an axial first section, attached by a first shrink-fit bond, and an axial second section, attached by a second shrink-fit bond. The second shrink-fit bond is greater than the first shrink-fit bond so that a greater maximum torque to be transmitted from the gear to the shaft by the second shrink-fit bond than by the first shrink-fit bond. An axial intermediate section, attached by a third shrink-fit bond, is located between the axial first section and the axial second section. Both a surface pressure and a maximum torque that can be transmitted by the third shrink-fit bond are greater than the surface pressure and the maximum torque that can be transmitted by the first shrink-fit bond, but are less than the surface pressure and the maximum torque that can be transmitted by the second shrink-fit bond.