The centrifugal force bearing includes a plurality of tapered metal shims such that the thicker end of each tapered metal shim near the inner portion of bearing. The bearing can include a plurality of tapered elastomeric members that are consequently tapered so that the inner portions are narrower than the outer portions. The tapered metal shims can increase the axial stiffness in the direction of the centrifugal force, thereby reducing the axial deflection under loading, as compared to non-tapered shims. Further, reducing axial deflection reduces clearance issues that may arise when the rotor blade is allowed to axial deflect significant distances. As such, the tapered metal shims can increase the capacity of the bearing. Tapering the metal shims can decrease the compression induced shear strain near the outer portions of the elastomeric member, where loads are typically higher.