A coupling device for the force-related connection of a device for machining pipes or pipe ends to a drive device is provided. With the aim of a high degree of variability, the coupling device has at least one force transmission device with at least one force transmission element for transmitting rotary forces to at least one force absorption element of at least one force absorption device with respect to a drive axis, wherein the at least one force transmission device is configured to be brought into connection optionally and alternately with force absorption devices which each differ in design with respect to the force absorption elements thereof and preferably differ in design with respect to a center distance between the force absorption elements.