A hybrid overrunning clutch includes a metal outer race and a composite outer ring that are each sized and configured such that the metal race generates a preload on the composite outer race throughout the operational temperature of the clutch. The composite outer ring significantly reduces that total weight of the clutch, as compared to a completely metal outer race. The present application further includes a method of assembling the metal outer race and composite outer ring so that thermal expansion of the metal outer race creates the preload in the composite outer ring. The present application also includes a method of designing a hybrid overrunning clutch.