Described are self-tensioning girt assemblies with one or more straps that form loops that extend around opposing sides of an inflatable structure. The one or more strips are configured to apply multi-directional forces such that the girt assembly is self-tensioning. The self-tensioning girt assemblies may comprise at least two sleeves coupled to the inflatable structure and that receive the straps in a way that permits the straps to rotate around the inflatable structure. In some embodiments, the straps are attached to a panel that extends between the straps.