Catenary - Revision history

Editor at 18:53, 26 October 2021

2021-10-26T18:53:51Z

← Older revision		Revision as of 18:53, 26 October 2021
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	The English physicist and polymath Robert Hooke was the first to study the mathematical properties of catenary curves in the 1670s, while Leibniz, Huygens and Bernoulli derived equations for them in the 1690s.		The English physicist and polymath Robert Hooke was the first to study the mathematical properties of catenary curves in the 1670s, while Leibniz, Huygens and Bernoulli derived equations for them in the 1690s.

−	= Related articles on Designing Buildings ~~Wiki~~ =	+	= Related articles on Designing Buildings =

	* Arches.		* Arches.
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	* Cantilever.		* Cantilever.
	* Fabric structures.		* Fabric structures.
		+	* Funicular.
	* Hyperbolic paraboloid.		* Hyperbolic paraboloid.
	* Optimal arch bridge.		* Optimal arch bridge.

Designing Buildings at 07:58, 2 December 2020

2020-12-02T07:58:54Z

← Older revision		Revision as of 07:58, 2 December 2020
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	* Vault.		* Vault.

−	[[Category:~~Education~~]] [[Category:~~DCN_Education_and_Training~~]] [[Category:History]] [[Category:Theory]]	+	[[Category:DCN_Definition]] [[Category:DCN_Guidance]] [[Category:Education]] [[Category:History]] [[Category:Theory]]

Designing Buildings at 09:09, 16 January 2019

2019-01-16T09:09:50Z

← Older revision		Revision as of 09:09, 16 January 2019
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	* Bridge construction.		* Bridge construction.
	* Cantilever.		* Cantilever.
−	* Fabric ~~structure~~.	+	* Fabric structures.
	* Hyperbolic paraboloid.		* Hyperbolic paraboloid.
	* Optimal arch bridge.		* Optimal arch bridge.
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	* Vault.		* Vault.

−	[[Category:Education]] [[Category:History]] [[Category:Theory]]	+	[[Category:Education]] [[Category:DCN_Education_and_Training]] [[Category:History]] [[Category:Theory]]

Designing Buildings at 08:36, 16 January 2019

2019-01-16T08:36:01Z

← Older revision		Revision as of 08:36, 16 January 2019
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	* Optimal arch bridge.		* Optimal arch bridge.
	* Shell roof.		* Shell roof.
−	* Suspension bridge.	+	* Tensile structures.
−	* Tensile ~~structure~~.	+
	* Types of dome.		* Types of dome.
	* Types of structural load.		* Types of structural load.

Designing Buildings at 08:35, 16 January 2019

2019-01-16T08:35:38Z

← Older revision		Revision as of 08:35, 16 January 2019
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−	In physics or geometry, a cable or a chain hanging freely and acting under its own weight, supported only at its end points (not in a vertical line) and with no other load takes the form of a catenary. This is different to the cables supporting a suspension bridge which take the form of a parabola.	+	In physics or geometry, a cable or a chain hanging freely and acting under its own weight, supported only at its end points (not in a vertical line) and with no other load, takes the form of a catenary. This is different to the loaded cables supporting a suspension bridge, which take the form of a parabola.

−	[[File:Catenary.jpg]]Although the two forms look very similar, they are mathematically different. In mathematical representation, the catenary uses a hyperbolic cosine while the parabola is far easier to represent with just a polynomial. Engineers may sometimes use the mathematics for a parabola when considering a catenary.	+	[[File:Catenary.jpg\|link=File:Catenary.jpg]]Although the two forms look very similar, they are mathematically different. In mathematical representation, the catenary uses a hyperbolic cosine while the parabola is far easier to represent with just a polynomial. Engineers may sometimes use the mathematics for a parabola when considering a catenary.

	Both forms are always in tension and may be described as funicular forms, which are the forms assumed by cables (or chains) under any given load: the catenary is funicular because it bears only its own load, while the parabola is funicular because it carries load, as in a suspension bridge. A catenary can also be called alysoid or chainette.		Both forms are always in tension and may be described as funicular forms, which are the forms assumed by cables (or chains) under any given load: the catenary is funicular because it bears only its own load, while the parabola is funicular because it carries load, as in a suspension bridge. A catenary can also be called alysoid or chainette.

−	In architecture and engineering, catenaries are used in bridge and arch design to avoid bending moments ~~resulting from forces~~. The catenary is also regarded as the ideal shape for an arch that is free-standing and of constant thickness.	+	In architecture and engineering, catenaries are used in bridge and arch design to avoid bending moments. The catenary is also regarded as the ideal shape for an arch that is free-standing and of constant thickness.

	The English physicist and polymath Robert Hooke was the first to study the mathematical properties of catenary curves in the 1670s, while Leibniz, Huygens and Bernoulli derived equations for them in the 1690s.		The English physicist and polymath Robert Hooke was the first to study the mathematical properties of catenary curves in the 1670s, while Leibniz, Huygens and Bernoulli derived equations for them in the 1690s.
		+
		+	= Related articles on Designing Buildings Wiki =
		+
		+	* Arches.
		+	* Bridge construction.
		+	* Cantilever.
		+	* Fabric structure.
		+	* Hyperbolic paraboloid.
		+	* Optimal arch bridge.
		+	* Shell roof.
		+	* Suspension bridge.
		+	* Tensile structure.
		+	* Types of dome.
		+	* Types of structural load.
		+	* Vault.

	[[Category:Education]] [[Category:History]] [[Category:Theory]]		[[Category:Education]] [[Category:History]] [[Category:Theory]]

Editor: Created page with "In physics or geometry, a cable or a chain hanging freely and acting under its own weight, supported only at its end points (not in a vertical line) and with no other load takes ..."

2019-01-15T17:54:59Z

Created page with "In physics or geometry, a cable or a chain hanging freely and acting under its own weight, supported only at its end points (not in a vertical line) and with no other load takes ..."

New page

In physics or geometry, a cable or a chain hanging freely and acting under its own weight, supported only at its end points (not in a vertical line) and with no other load takes the form of a catenary. This is different to the cables supporting a suspension bridge which take the form of a parabola.

[[File:Catenary.jpg]]Although the two forms look very similar, they are mathematically different. In mathematical representation, the catenary uses a hyperbolic cosine while the parabola is far easier to represent with just a polynomial. Engineers may sometimes use the mathematics for a parabola when considering a catenary.

Both forms are always in tension and may be described as funicular forms, which are the forms assumed by cables (or chains) under any given load: the catenary is funicular because it bears only its own load, while the parabola is funicular because it carries load, as in a suspension bridge. A catenary can also be called alysoid or chainette.

In architecture and engineering, catenaries are used in bridge and arch design to avoid bending moments resulting from forces. The catenary is also regarded as the ideal shape for an arch that is free-standing and of constant thickness.

The English physicist and polymath Robert Hooke was the first to study the mathematical properties of catenary curves in the 1670s, while Leibniz, Huygens and Bernoulli derived equations for them in the 1690s.

[[Category:Education]] [[Category:History]] [[Category:Theory]]