A multiple-element load handling shuttle assembly (10) which includes means to compensate for the downward deflection of the load carrying element of the shuttle under load. Each shuttle element (12, 14, 16, 20) is supported by a plurality of rollers (35, 43, 51, 57) which engage guide channels (36, 43, 52, 58) in an adjacent element. The end rollers (43c, 43d) on one of the elements are offset upwardly from the remaining rollers (43a, 43b) on that element and the corresponding guide channel (44) is flared upwardly at its outer ends to accommodate the offset rollers. The offset rollers and flared guide channel cause the shuttle assembly to tilt upwardly in its unloaded condition to at least partially compensate for the downward deflection of the shuttle assembly under load.