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		<id>https://www.designingbuildings.co.uk/w/index.php?action=history&amp;feed=atom&amp;title=Optimal_arch_bridge</id>
		<title>Optimal arch bridge - Revision history</title>
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		<updated>2026-05-19T12:01:01Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.designingbuildings.co.uk/w/index.php?title=Optimal_arch_bridge&amp;diff=184781&amp;oldid=prev</id>
		<title>Designing Buildings at 07:39, 4 December 2020</title>
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				<updated>2020-12-04T07:39:11Z</updated>
		
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		&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
		&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 07:39, 4 December 2020&lt;/td&gt;
		&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 32:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 32:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Types of structural load.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Types of structural load.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;minus;&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Category:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Publications_/_reports&lt;/del&gt;]] [[Category:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Research_/_Innovation&lt;/del&gt;]] [[Category:DCN_Research,_Development_and_Innovation]] [[Category:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Theory&lt;/del&gt;]] [[Category:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;News&lt;/del&gt;]] [[Category:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;DCN_News&lt;/del&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Category:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;DCN_Commentary&lt;/ins&gt;]] [[Category:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;DCN_Definition]] [[Category:DCN_News]] [[Category:DCN_Project_Knowledge&lt;/ins&gt;]] [[Category:DCN_Research,_Development_and_Innovation]] [[Category:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;News&lt;/ins&gt;]] [[Category:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Publications_/_reports&lt;/ins&gt;]] [[Category:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Research_/_Innovation]] [[Category:Theory&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>Designing Buildings</name></author>	</entry>

	<entry>
		<id>https://www.designingbuildings.co.uk/w/index.php?title=Optimal_arch_bridge&amp;diff=68930&amp;oldid=prev</id>
		<title>Editor at 15:37, 2 February 2017</title>
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				<updated>2017-02-02T15:37:02Z</updated>
		
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		&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 15:37, 2 February 2017&lt;/td&gt;
		&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 26:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 26:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Concept structural design of buildings.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Concept structural design of buildings.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Frei Otto.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Frei Otto.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;* Gateway Arch.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Innovation in construction projects.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Innovation in construction projects.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Structural engineer.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Structural engineer.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Types of structural load.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Types of structural load.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;minus;&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Category:Publications_/_reports]] [[Category:Research_/_Innovation]] [[Category:Theory]] [[Category:News]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Category:Publications_/_reports]] [[Category:Research_/_Innovation&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] [[Category:DCN_Research,_Development_and_Innovation&lt;/ins&gt;]] [[Category:Theory]] [[Category:News&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] [[Category:DCN_News&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Editor</name></author>	</entry>

	<entry>
		<id>https://www.designingbuildings.co.uk/w/index.php?title=Optimal_arch_bridge&amp;diff=55834&amp;oldid=prev</id>
		<title>Editor at 11:33, 14 July 2016</title>
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				<updated>2016-07-14T11:33:39Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
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		&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 11:33, 14 July 2016&lt;/td&gt;
		&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 25:&lt;/td&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Bridges of the world.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Bridges of the world.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Concept structural design of buildings.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Concept structural design of buildings.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;* Frei Otto.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Innovation in construction projects.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Innovation in construction projects.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Structural engineer.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* Structural engineer.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Editor</name></author>	</entry>

	<entry>
		<id>https://www.designingbuildings.co.uk/w/index.php?title=Optimal_arch_bridge&amp;diff=55820&amp;oldid=prev</id>
		<title>Editor: Created page with &quot;Published in June 2016, a professor from the University of Warwick has completed a research paper that claims to present an optimised design for an arch bridge with unlimited bea...&quot;</title>
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				<updated>2016-07-14T09:53:26Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;Published in June 2016, a professor from the University of Warwick has completed a research paper that claims to present an optimised design for an arch bridge with unlimited bea...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Published in June 2016, a professor from the University of Warwick has completed a research paper that claims to present an optimised design for an arch bridge with unlimited bearing capacity.&lt;br /&gt;
&lt;br /&gt;
The claim being made for Emeritus Prof. Wanda Lewis' findings, is that it could make possible a new generation of indestructible bridges, something that has been debated for centuries.&lt;br /&gt;
&lt;br /&gt;
The catenary form of bridge arch – resembling the line of an upside-down chain line – was demonstrated to the Royal Society by Robert Hook in the 17th century. The inverted parabola is the only other form proposed by classical theory. Both shapes can take only a specific type of load without developing complex stresses which are points of weakness.&lt;br /&gt;
&lt;br /&gt;
Prof. Lewis, of Warwick's School of Engineering, has used a process of design called 'form-finding' which is inspired by natural processes. This is an attempt at filling in the gaps in the classical theory, offering a new mathematical solution to the optimal arch subjected to general loading. The design of rigid structures that follow a strong natural form are enabled by the process of form-finding. A force of pure compression or tension sustain these structures with no bending stresses, which on other structures are the main points of weakness.&lt;br /&gt;
&lt;br /&gt;
The potential for the breakthrough could be bridge and structure designs that are capable of taking any combination of permanent loading without generating complex stresses, an engineering problem that has hitherto yielded no solution. Such structures could be more durable and require less maintenance.&lt;br /&gt;
&lt;br /&gt;
A fellow of ICE, Prof. Lewis has spent many years studying forms and shapes as they occur in the natural world. In natural processes such as the outlines of a tree or leaf, or a shell's curve, they can be seen to withstand applied forces by developing simple stress patterns. She has developed mathematical models that implement design principles and produce similarly simple stress patterns in structures.&lt;br /&gt;
&lt;br /&gt;
Her paper explains how a piece of fabric is suspended, and allowed to relax into its natural, gravitational, minimum-energy shape. That shape is then frozen into a rigid object and inverted. By simulating the gravitational forces applied to the structure by finding coordinates through computation, a shape (natural form) is produced that can withstand the load with ease.&lt;br /&gt;
&lt;br /&gt;
You can read the paper at the [http://rspa.royalsocietypublishing.org/content/472/2190/20160019 Royal Society].&lt;br /&gt;
&lt;br /&gt;
= Find out more =&lt;br /&gt;
&lt;br /&gt;
=== Related articles on Designing Buildings Wiki ===&lt;br /&gt;
&lt;br /&gt;
* 7 Engineering Wonders of the World.&lt;br /&gt;
* Arches.&lt;br /&gt;
* Assessing bridges.&lt;br /&gt;
* Bridge construction.&lt;br /&gt;
* Bridges of the world.&lt;br /&gt;
* Concept structural design of buildings.&lt;br /&gt;
* Innovation in construction projects.&lt;br /&gt;
* Structural engineer.&lt;br /&gt;
* Structural failures.&lt;br /&gt;
* Types of structural load.&lt;br /&gt;
&lt;br /&gt;
[[Category:Publications_/_reports]] [[Category:Research_/_Innovation]] [[Category:Theory]] [[Category:News]]&lt;/div&gt;</summary>
		<author><name>Editor</name></author>	</entry>

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