Abstract: A building (1) or other walled structure has a foundation (6) formed of concrete or the like, a substantially rigid load bearing space frame (2) comprising a plurality of beams (4) and columns (3) secured to the foundation, and lightweight wall panels (5) extending between the columns. The lower edges of the wall panels are located and supported by elongate inserts (12) e.g. angle irons, in channels (11) formed in the foundation, and the upper edges are engaged in downwardly facing channels formed in the beams. In upper stories, the lower edges of wall panels are engaged in upwardly facing channels also formed in the beams.