Introduction the hyperbolic paraboloid is a surface which may be generated by the translation of a concave parabola along the path of a normal convex parabola. The use of hyperbolic paraboloids as a form of thin shell construction was pioneered in the postwar era, as a hybrid of modern architecture and structural engineering. A hyperbolic paraboloid, treated from the constructional and mathematical aspects, is analyzed in this paper. Directory and listing of hyperbolicparaboloid shells from around the world including images, technical data, literature and other project information. Such shells are often used for roofs on account of their elegance and versatility.
Hyperbolic paraboloid shells are doubly curved shells with negative gaussian curvature. This model can be classified as a tessellation formed by four squares divided into eight sections. Shell structures mobilize geometry to activate both the membrane and the flexural internal force systems to efficiently support any distributed loads applied to those structures. A roof structure having hyperbolic paraboloid sections, said roof structure comprising. In addition to quantitative analyses, we will also present qualitative discussion of the. Miami, 1967, a rc hyperbolic paraboloid hypar folded shell. These models conceptualize the roof as a folded plate or a hypar shell, analyze the structural influence of stiffeners and groin thickening and investigates the. Tutorial 6 folding example hyperbolic paraboloid shelter.
This is specially true when they are shallow hypar shells. This analysis was carried out thanks to the application of genetic algorithms enabling the free. This paper concerns the design, calculations and construction of a hyperbolic paraboloid steel shell structure used as. The hyperbolic paraboloid shell hypar is a doubly curved, nondevelopable anticlastic shell of translation with ruled surfaces, having straight line property. Being both lightweight and efficient, the form was used as a means of minimising materials and increasing structural performance while also creating impressive and seemingly complex designs. Structural analysis of reinforced concrete folded hyperbolic. Hp shells as very frequently used roof structures and points out the. Pdf shaping of spatial steel rod structures based on a. Design of hyperbolic paraboloid shells springerlink. This design approach was realized by application of designing tools.
Shell structure, paper as building material, hyperbolic paraboloid, form optimization. It may also be generated by the combined translation and rotation of a straight line. Iz isu3 dojtc tableopcontents synopsis introduction 2 methodopstressanalysis 3 generaldefinition,,3 surfacedefinition conditionsofequilibrium 5 applicationofstressanalysis 16 surfacedefinition 1 stressconditions 18 secondarystresses 22 designexample 27 shelldesign 27 edgebeamdesign 29 detaileddrawinpr 33 conclusions 35 acknowledgment 37. In the constructional sense, it is a thin shell of a great bearing capacity and wide usability in spatial structures, either as a complete form or in parts.
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