Abstract: A sealed connecting construction for membrane segments covering a building framework of rigid trusses. The side edges of adjoining segments have cables secured thereto and the cables are detachably connected by one or more chain links to clips overlying the outer chord of the truss. The segments are tensioned by catenary cables secured to the bottom edges of the segments and extending between the truss members. The connection is weather-sealed by an overlying membrane strip or strips having tensioning cables along the outer edges anchored to the foundation base.