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A chain hanging from points forms a catenary. The silk on a spider's web forming multiple elastic catenaries.. In physics and geometry, a catenary (US: / ˈ k æ t ən ɛr i / KAT-ən-err-ee, UK: / k ə ˈ t iː n ər i / kə-TEE-nər-ee) is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends in a uniform gravitational field.
A mudbrick catenary arch A catenary curve (left) and a catenary arch, also a catenary curve (right). One points up, and one points down, but the curves are the same. A catenary arch is a type of architectural arch that follows an inverted catenary curve. The catenary curve has been employed in buildings since ancient times.
The Gateway Arch is a weighted catenary: thick at the bottom, thin at the top.. A weighted catenary (also flattened catenary, was defined by William Rankine as transformed catenary [1] and thus sometimes called Rankine curve [2]) is a catenary curve, but of a special form: if a catenary is the curve formed by a chain under its own weight, a weighted catenary is the curve formed if the chain's ...
An Amtrak catenary maintenance vehicle. Both a crane and a movable platform can be seen on the vehicle's roof. A catenary maintenance vehicle (also known as a tower wagon or tower car) is a railroad maintenance of way vehicle that is used to maintain and inspect overhead line (also known as catenary) on electrified railroad or metro tracks.
A ring is called universally catenary if all finitely generated algebras over it are catenary rings. The word 'catenary' is derived from the Latin word catena, which means "chain". There is the following chain of inclusions. Universally catenary rings ⊃ Cohen–Macaulay rings ⊃ Gorenstein rings ⊃ complete intersection rings ⊃ regular ...
Overhead catenary, another name for the overhead line system for electric power transmission for railways Topics referred to by the same term This disambiguation page lists articles associated with the title Catenary .
The catenary wire is made of copper or copper alloys of 70, 120 or 150 mm 2. The smaller cross sections are made of 19 strands, whereas the bigger has 37 strands. Two standard configurations for main lines consist of two contact wires of 100 mm 2 and one or two catenary wires of 120 mm 2, totaling 320 or 440 mm 2. Only one contact wire is often ...
A catenary is the best solution for the case where an arch with uniform thickness carries just its own weight with no external load. The practical designs for bridges are somewhere in between, and thus use the curves that represent a compromise that combines both the catenary and the funicular curve for particular non-uniform distribution of ...