This article is about a geometric shapes. For a means of transportation, see Funicular.
Analogies between the hanging chains and standing structures: an arch and the dome of Saint Peter's Basilica in Rome (Giovanni Poleni, 1748)
In architecture, the funicular curve (also funicular polygon, funicular shape, from the Latin: fūniculus, "of rope"[1]) is an approach used to design the compression-only structural forms (like masonry arches) using an equivalence between the rope with hanging weights and standing arch with its load. This duality was noticed by Robert Hooke in 1675 ("as hangs the flexible line, so, but inverted, will stand the rigid arch").[2] If the hanging rope carries just its own weight (in this case it is usually called a "chain" and is equivalent to a free-standing arch with no external load), the resulting curve is a catenary.[3]
In graphic statics, a funicular polygon is a graphic method of finding out the line of action for a combination of forces applied to a solid body at different points, a complement to the force polygon used to obtain the value and direction of the resultant force.[4] Both polygons were introduced by Pierre Varignon (Nouvelle Mecanique ou Statique, 1725) and became the basis of the graphic statics in the second half of the 19th century.[5]
In architecture, the funicularcurve (also funicular polygon, funicular shape, from the Latin: fūniculus, "of rope") is an approach used to design the...
This is a list of funicular railways, organised by place within country and continent. The funiculars range from short urban lines to significant multi-section...
structural properties. The sides of this arch swing wider than the perfect funicularcurve and therefore experience a bending moment with the force directed outwards...
linked to the study of hanging chains, the corresponding curves or polygons are called funicular. Just like the shape of a hanging chain will vary depending...
example of a funicular. Rope statics describes catenaries in a classic statics problem involving a hanging rope. Mathematically, the catenary curve is the graph...
on a continuous curve to a lower station that gives access, via a path, to Santa Cova, a shrine lower down the mountain. The funicular has the following...
Millennium Funicular provides an alternative to staircase access to London's Millennium Bridge. A mixture between an inclined lift and a funicular with two...
carriages to exchange. The route has three curves, with a radius between 180 and 250 metres. The funicular is currently run by Autolinee Toscane, as an...
The Bellevue funicular (French: funiculaire de Bellevue), in Meudon, Hauts-de-Seine department, was from 1893 to 1934 a funicular running from the Bellevue-Funiculaire...
elevator is distinguished from the similar funicular railway in that its cars operate independently whereas funiculars are composed of two vehicles that synchronously...
The Peak Tram is a funicular railway in Hong Kong, which carries both tourists and residents to the upper levels of Hong Kong Island. Running from Garden...
in their mode of operation. Monorails operate on a single rail, while funiculars and rack railways are uniquely designed to traverse steep slopes. Experimental...
The Belleville funicular tramway (French: tramway funiculaire de Belleville) was a cable car which from 1891 to 1924 connected the Place de la République...
gradients, they may use steep grade railway technology, or even operate as funicular railways. Mendoza to Los Andes, Chile, see Chile below Glenreagh Mountain...
The Hungerburgbahn is a hybrid funicular railway in Innsbruck, Austria, connecting the city district of Hungerburg with the city centre. The current line...
by Guinness Book of Records as the service stairway for the Niesenbahn funicular railway near Spiez, Switzerland, with 11,674 steps and a height of 1,669 m...
optimal dome geometry is called the funicular surface, the comparable shape in three dimensions to a catenary curve for a two-dimensional arch. Adding...
The Castle Shannon Incline was a funicular railroad in Pittsburgh, Pennsylvania. It was originally part of the Pittsburgh and Castle Shannon Railroad...
174.7678250°E / -41.2853472; 174.7678250 The Wellington Cable Car is a funicular railway in Wellington, New Zealand, between Lambton Quay, the main shopping...
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