catenary

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catenary
The equation for this catenary with a as the y-intercept is y = a/2 (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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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
(Civil Engineering) of, resembling, relating to, or constructed using a catenary or suspended chain
[C18: from Latin catēnārius relating to a chain]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
ketjukäyrä
קו שרשרת
kedjekurva

catenary

[kəˈtiːnərɪ] n (Phys) → catenaria
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
19 Pepe SH: Polynomial and catenary curve fits to human dental arches.
It is a 42.5-meter long and 36.4-meter wide inflated object that takes its name from the 'catenary curve.' The catenary curve has a U-shape curve that looks like a suspended chain and was used by Antoni Gaudi to design the iconic Sagrada Familia, in Barcelona.
He doesn't use an anchor chain, which I have done all my boating life, to let the catenary curve of the anchor rode help set the anchor.
So in the installation, each bearing elevation should be adjusted along the vertical direction to keep the catenary curve smooth when the machine is running.
Like some of Gordon's chain pieces, this installation employs the rope's catenary curve, as well as its loosely fraying ends, to wed massiveness with delicacy.