The invention is a gripping or supporting element (1), comprising a shaped body (2) provided with ends (2a, 2b) connected to a bearing structure (S), bushes (3, 4) applied to the bearing structure (S) through first fastening means (5) that project from the outer surface (S e ) of the bearing structure (S) and second fastening means (6) that permanently connect said shaped body (2) to the bushes (3, 4). The gripping or supporting element (1) comprises shaped inserts (7, 8) joined to the ends (2a, 2b) of the shaped body (2) through third fastening means (9), said inserts being coupled to the bushes (3, 4) when the shaped body (2) is positioned against the bearing structure (S).