A system for coupling a suspension medium to a load carrying structure of an elevator installation includes a frame and a hitch plate. The frame has two spaced apart side walls, wherein the side walls are positionable to receive a part of the load carrying structure between the side walls. Each side wall has a receptacle having a longitudinal shape. The hitch plate has at least one fixture configured to couple to a sheave arrangement for the suspension medium. Each receptacle is sized to movably receive a section of the hitch plate so that the hitch plate extends between the side walls and is rotatable about a vertical axis.