catenary


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catenary
The equation for this catenary with a as the y-intercept is y = a2 (ex/a + e-x/a).

cat·e·nar·y

 (kăt′n-ĕr′ē, kə-tē′nə-rē)
n. pl. cat·e·nar·ies
1. The curve formed by a perfectly flexible, uniformly dense, and inextensible cable suspended from its endpoints. It is identical to the graph of a hyperbolic cosine.
2. Something having the general shape of this curve.

[New Latin catēnāria, from Latin, feminine of catēnārius, relating to a chain, from catēna, chain.]

cat′e·nar′y adj.

catenary

(kəˈtiːnərɪ)
n, pl -ries
1. (Mathematics) the curve assumed by a heavy uniform flexible cord hanging freely from two points. When symmetrical about the y-axis and intersecting it at y = a, the equation is y = a cosh x/a
2. (Railways) the hanging cable between pylons along a railway track, from which the trolley wire is suspended
adj
3. (Civil Engineering) of, resembling, relating to, or constructed using a catenary or suspended chain
[C18: from Latin catēnārius relating to a chain]

cat•e•nar•y

(ˈkæt nˌɛr i; esp. Brit. kəˈti nə ri)

n., pl. -nar•ies,
adj. n.
1. the curve assumed approximately by a heavy uniform cord or chain hanging freely from two points not in the same vertical line. Equation: y = k cosh (x/k).
2. (in electric railroads) the cable, running above the track, from which the trolley wire is suspended.
adj.
3. of, pertaining to, or resembling a catenary.
[1780–90; < Latin catēnārius relating to a chain =catēn(a) a chain + -ārius -ary]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.catenary - the curve theoretically assumed by a perfectly flexible and inextensible cord of uniform density and cross section hanging freely from two fixed pointscatenary - the curve theoretically assumed by a perfectly flexible and inextensible cord of uniform density and cross section hanging freely from two fixed points
curve, curved shape - the trace of a point whose direction of motion changes
Translations

catenary

[kəˈtiːnərɪ] n (Phys) → catenaria
References in periodicals archive ?
Planning services for basic stick repair the tram infrastructure (tracks, crossings, turnouts, traction power supply, catenary system, catenary masts, stops, traffic signals, etc.
6m) deal to Austrian company SPL Powerlines Austria GmbH & Co KGA for the supply and installation of a catenary system in Graz, the state of Styria.
The deal includes new catenary, support cables, clocks, feeder cables, insulators, switches, new tensioner devices and removing old installations, among others.