Hyperbolic Paraboloid Roof Structures

The hyperbolic paraboloid form has been used for roofs at various times since it is easily constructed from straight sections of lumber steel or other conventional materials.

Hyperbolic paraboloid roof structures.

Antoni gaudi used structures in the form of hyperbolic paraboloid hypar and hyperboloid of revolution in the sagrada família in 1910. Oct 24 2016 explore alen joseph james s board hyperbolic paraboloid roof structure on pinterest. A roof structure for a hanger or the like in which first and second roof sections having the shapes of parts of respective first and second hyperbolic paraboloids having common base lines are joined along a line lying on the locus of an arch common to the two paraboloids to form a roof having openings of predetermined height between spaced roof supports. Curvilinear steel bar structures forming roofs of hyperbolic paraboloid shape.

The term is used because the form resembles the shape of a saddle. It is also a doubly ruled surface that is every point on its surface. Sometimes referred to as a hypar the saddle roof may also be formed as a tensegrity structure. This paper concerns the design calculations and construction of a hyperbolic paraboloid steel shell structure used as a roof for an.

A hyperbolic paraboloid sometimes referred to as h p is a doubly curved surface that resembles the shape of a saddle that is it has a convex form along one axis and a concave form on along the other. Hyperbolic paraboloid in construction designing buildings wiki share your construction industry knowledge. Antoni gaudi and shukhov carried out experiments with hyperboloid structures practically simultaneously but independently in 1880 1895. Although the hyperbolic paraboloid as a ruled surface may be a convenient base for forming bar grids there are few studies on the e ect of its division and the topology of the obtained bar structures on their load bearing capacity.

In the sagrada família there are a few places on the nativity facade a design not equated with gaudi s ruled. This page is a list of hyperboloid structures these were first applied in architecture by russian engineer vladimir shukhov 1853 1939.