A medical support structure (100) is disclosed, which comprising a framework (110) having a main axis and comprising at least one supporting member (150) and a plurality of leg members (120), and a top surface (140) locatable atop the framework (110) and adapted to support one or more refuse containers each having an aperture and a bottom portion. The supporting member (150) is locatable intermediate the top surface (140) and a lower portion of the plurality of leg members (120), and is adapted to support at least one medical waste container having an aperture and a bottom portion. At least a first longitudinal portion (152) of the supporting member forms an obtuse angle relative to a second longitudinal portion (154) of the supporting member so as to angle the or each medical waste containers in a position in which its aperture is higher than its bottom portion but not orthogonal to the top surface.