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M.Tech / M.E / PhD Thesis | Civil Engineering | India | Volume 5 Issue 8, August 2016

Influence of Increasing Live Load in Stress on Hyperbolic Paraboloid Shell Roof

Ancy Francis | Ramadass S | Nimya Rose Joshuva

Abstract: Hyperbolic paraboloid shell roofs are thin shell roof type. Thin shell roofs derives their strength through shape rather than mass. These are the most important member of anticlastic group from the builders point of view. Hyperbolic paraboloid is generated by sweeping a convex parabola along a concave parabola. Great cantilevers and spans are possible with hyperbolic paraboloid shell roofs by reason of its doubly curved shape. Using the assumed floor plan, manual design for the structure is done is done based on membrane theory, and the size of structural components namely shell roof, edge beam and tie beam under the given loads are computed. The structure is modelled using CATIA V5 software for assigning materials and loading on the structure is done using ANSYS Workbench and the analysis is done using ANSYS 15. The analysis of saddle type hyperbolic paraboloid shell roof is carried out to study the membrane stresses (Nx, Ny and Nxy). The influence of live load on the membrane stresses at critical point has been studied by varying live load from 0.5 kN/m2 to 2.5 kN/m2. When the live load increases, membrane stresses (Nx, Ny and Nxy) increases at corner and saddle points.

Keywords: Shell roof, Hyperbolic paraboloid, Anticlastic group Membrane stresses, Membrane theory

Edition: Volume 5 Issue 8, August 2016,

Pages: 1497 - 1500