Abstract : The theory of filamentary axisymmetric structures is broadened to include surface loads other than normal pressure. Structures with two sets of symmetrically disposed fiber are considered in detail, and force transfer between filaments is accounted for in the theory. The governing equations are derived, and isotensoid surface shapes are determined and classified for a wide range of load conditions. The governing equations are also applied to problems where the surface shape and loading are prescribed and the filament geometry and load variation in the surface are to be determined. The general nature of filamentary structures is discussed in depth, and useful qualitative results are obtained for multiple layer nets. A non-axisymmetric isotensoid (or isocompressoid) is obtained as a special limiting case. The shape is a cylindrical paraboloid, and the load is equivalent to a gravity force field. Application in civil engineering structures is indicated.
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