Abstract: A method for lining chambers and galleries, especially mining and tunnelling galleries, employs resilient steel supporting frames which consist of a number of box-like section segments capable of being slid one into another and which thus, at least in the zone of overlap, constitute a closed tube. The ends of the overlapping segments are widened or compressed, as the case may be, and then inserted one into another. Each overlapping outer section segment is then mechanically compressed in the region of the overlap until ears of the so compressed segment grip behind flanges of the overlapped inner section segment. A self-locking wedge system providing means of restraint or braking is inserted between each two overlapping outer and inner section segments, and a leading tie and a deformation tie are fitted at the overlap region to the respective ends of the overlapping outer and inner section segments.