An agricultural harvester (10) includes a chassis (12), and a threshing and separating section (24) for threshing and separating grain from gathered crop material. The threshing and separating section (24) being carried by the chassis (12), and includes at least one concave (42) having a hooking feature (94), at least one sliding support (76, 78), and a frame assembly (72) for carrying and coupling the concave (42) thereto. The frame assembly (72) has a support bar (74) allowing the hooking feature (94) to hook over the support bar (74) to support one side of the concave (42). The other side of the concave (42) is also coupled to the frame assembly (72). The sliding support (76, 78) supports the concave (42) as the concave (42) is moved toward or away from the support bar (74).