A hand rim or push rim for a wheelchair wheel. The hand rim includes a rimstructurewith a convex bearing surface on a circumference of the rim structure, whereintheconvex bearing surface is off-centered with respect to a center of the rim andtilted inan outer direction with respect to the wheelchair. Also provided is awheelchairwheel hand rim cover, wherein the cover is made of ethylene vinyl acetate.There isalso provided a fastening system for fastening a hand rim to a wheel. Thefasteningsystem includes fixing elements selectively and slideably interfacing with apluralityof anchor elements for selectively setting a separation distance between thehandrim and the wheel.