An elevator system (20) load bearing assembly (30) includes a plurality of load bearing members (32-38). At least one of the load bearing members (32-38) has a load carrying capacity that is different than at least one other of the load bearing members (32-38). A disclosed example includes equal numbers of load bearing members (32, 38) having a first load carrying capacity and equal numbers of load bearing members (34, 36) having a second, different load carrying capacities. Another example includes at least three different load carrying capacities. With the disclosed examples, the aggregate load carrying capacity of an elevator load bearing assembly (30) can more closely meet the load carrying requirements for a given elevator system without over-roping the system.