Abstract: A two piece adapter rim for wheel assemblies comprises a band formed generally into a circle having inner and outer surfaces wherein the outer surface is for carrying a rubber tire. The assembly includes additionally an outer disc mounted within the band on the inner surface, the outer disc having a central first opening and a plurality of second openings located around the periphery of the first opening. Also included is a replaceable inner adapter disc, the adapter disc having a plurality of third openings which register with the second openings of the outer disc, and a plurality of fourth openings which register with a fixed pattern of attachments of a hub. The hub would be of a piece of heavy machinery or equipment to which the wheel assembly would be attached. A series of bolts are used to secure the adapter disc to the outer disc and then the wheel assembly may be mounted on a hub.