Cable material consumption depending on the geometrical parameters of hierarchic roof

摘要

The formation of hierarchic cable roofs and calculation principles have been investigated. The structure is formed by negative Gauss bending type saddle shaped cable roofs by suspending separate saddle roof's corners to a higher level cable structure. These structures are characterized by all the same advantages, which as well apply to a saddle shaped cable roof, however, with a better ratio between the covered volume and the area. These systems can be intercombined to form wider roof areas. It is suitable to use hierarchic cable structures for long span roofs as well as for completely or partially dismounted provisional coverings. In order to reduce the complexity and the amount of calculation, and to avoid the calculation matrix convergence problem, calculation of stresses and displacements of complicated hierarchically subordinated structures with various geometrical parameters of hierarchic roof could be accomplished by the method of substructuring. The effect of interdependencies of separate structural elements and higher level cable structure can be determined by the iterative approximation method. By using of the proposed principle, the hierarchic cable structure is treated under the different wind and accidental snow load conditions.