A hand rim or push rim for a wheelchair wheel. The hand rim includes a rim structure with a convex bearing surface on a circumference of the rim structure, wherein the convex bearing surface is off-centered with respect to a center of the rim and tilted in an outer direction with respect to the wheelchair. Also provided is a wheelchair wheel hand rim cover, wherein the cover is made of ethylene vinyl acetate. There is also provided a fastening system for fastening a hand rim to a wheel. The fastening system includes fixing elements selectively and slideably interfacing with a plurality of anchor elements for selectively setting a separation distance between the hand rim and the wheel.
