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Michell in his frequently referenced 1904 paper. Michell states that “a frame (today called truss) (is optimal) attains the limit of economy of material possible in any frame-structure under the same applied forces, if the space occupied by it can be subjected to an appropriate small deformation, such that the strains in all the bars of the frame are increased by equal fractions of their lengths, not less than the fractional change of length of any element of the space.”" /> <meta property="og:site_name" content="DBpedia" />  </head> <body about="http://dbpedia.org/resource/Michell_structures">  <nav class="navbar navbar-expand-md navbar-light bg-light fixed-top align-items-center"> <div class="container-xl"> <a class="navbar-brand" href="http://wiki.dbpedia.org/about" title="About DBpedia" style="color: #2c5078"> <img class="img-fluid" src="/statics/images/dbpedia_logo_land_120.png" alt="About DBpedia" /> </a> <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#dbp-navbar" 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Endpoint </a> </li> </ul> </div> </div> </nav> <div style="margin-bottom: 60px"></div>   <section> <div class="container-xl"> <div class="row"> <div class="col"> <h1 id="title" class="display-6">About: <a href="http://dbpedia.org/resource/Michell_structures">Michell structures</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> An Entity of Type: <a href="javascript:void()">Thing</a>, from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, within Data Space: <a href="http://dbpedia.org">dbpedia.org</a> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> Michell structures are structures that are optimal based on the criteria defined by A.G.M. Michell in his frequently referenced 1904 paper. Michell states that “a frame (today called truss) (is optimal) attains the limit of economy of material possible in any frame-structure under the same applied forces, if the space occupied by it can be subjected to an appropriate small deformation, such that the strains in all the bars of the frame are increased by equal fractions of their lengths, not less than the fractional change of length of any element of the space.” </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/MichellCantilever.jpg?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract">dbo:abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">Las estructuras de Michell son estructuras que son óptimas según los criterios definidos por A.G.M. Michell en su artículo de 1904, al que se hace referencia con frecuencia en la bibliografía anglosajona. (es)</li> <li>Michell structures are structures that are optimal based on the criteria defined by A.G.M. Michell in his frequently referenced 1904 paper. Michell states that “a frame (today called truss) (is optimal) attains the limit of economy of material possible in any frame-structure under the same applied forces, if the space occupied by it can be subjected to an appropriate small deformation, such that the strains in all the bars of the frame are increased by equal fractions of their lengths, not less than the fractional change of length of any element of the space.” The above conclusion is based on the Maxwell load-path theorem: Where is the tension value in any tension element of length , is the compression value in any compression element of length and is a constant value which is based on external loads applied to the structure. Based on the Maxwell load-path theorem, reducing load path of tension members will reduce by the same value the load path of compression elements for a given set of external loads. Structure with minimum load path is one having minimum compliance (having minimum weighted deflection in the points of applied loads weighted by the values of these loads). In consequence Michell structures are minimum compliance trusses. (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail">dbo:thumbnail</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/MichellCantilever.jpg?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/MichellCantilever.jpg?width=300">wiki-commons:Special:FilePath/MichellCantilever.jpg?width=300</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageID">dbo:wikiPageID</a> </td><td class="col-10 text-break"><ul> <li>58402686 (xsd:integer)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageLength">dbo:wikiPageLength</a> </td><td class="col-10 text-break"><ul> <li>6684 (xsd:nonNegativeInteger)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageRevisionID">dbo:wikiPageRevisionID</a> </td><td class="col-10 text-break"><ul> <li>1059101501 (xsd:integer)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageWikiLink">dbo:wikiPageWikiLink</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Involute" href="http://dbpedia.org/resource/Involute">dbr:Involute</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Anthony_Michell" href="http://dbpedia.org/resource/Anthony_Michell">dbr:Anthony_Michell</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/William_F._Baker_(engineer)" href="http://dbpedia.org/resource/William_F._Baker_(engineer)">dbr:William_F._Baker_(engineer)</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/William_Prager" href="http://dbpedia.org/resource/William_Prager">dbr:William_Prager</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Logarithmic_spiral" href="http://dbpedia.org/resource/Logarithmic_spiral">dbr:Logarithmic_spiral</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Category:Structural_analysis" href="http://dbpedia.org/resource/Category:Structural_analysis">dbc:Structural_analysis</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Topology_optimization" href="http://dbpedia.org/resource/Topology_optimization">dbr:Topology_optimization</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/File:MichellCantilever.jpg" href="http://dbpedia.org/resource/File:MichellCantilever.jpg">dbr:File:MichellCantilever.jpg</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/File:Michell_centrally_loaded_in_full_space.jpg" href="http://dbpedia.org/resource/File:Michell_centrally_loaded_in_full_space.jpg">dbr:File:Michell_centrally_loaded_in_full_space.jpg</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/File:Michell_centrally_loaded_in_full_space_force_away_from_line.jpg" href="http://dbpedia.org/resource/File:Michell_centrally_loaded_in_full_space_force_away_from_line.jpg">dbr:File:Michell_centrally_loaded_in_full_space_force_away_from_line.jpg</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/File:Michell_centrally_loaded_in_half_space.jpg" href="http://dbpedia.org/resource/File:Michell_centrally_loaded_in_half_space.jpg">dbr:File:Michell_centrally_loaded_in_half_space.jpg</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/File:Prager_symmetrical_truss.jpg" href="http://dbpedia.org/resource/File:Prager_symmetrical_truss.jpg">dbr:File:Prager_symmetrical_truss.jpg</a></li> <li><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/File:Torsion_ball_3D_cropped.gif" href="http://dbpedia.org/resource/File:Torsion_ball_3D_cropped.gif">dbr:File:Torsion_ball_3D_cropped.gif</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/wikiPageUsesTemplate">dbp:wikiPageUsesTemplate</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Reflist" href="http://dbpedia.org/resource/Template:Reflist">dbt:Reflist</a></li> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Short_description" href="http://dbpedia.org/resource/Template:Short_description">dbt:Short_description</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://purl.org/dc/terms/subject">dct:subject</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dct:subject" resource="http://dbpedia.org/resource/Category:Structural_analysis" href="http://dbpedia.org/resource/Category:Structural_analysis">dbc:Structural_analysis</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment">rdfs:comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">Las estructuras de Michell son estructuras que son óptimas según los criterios definidos por A.G.M. Michell en su artículo de 1904, al que se hace referencia con frecuencia en la bibliografía anglosajona. (es)</li> <li>Michell structures are structures that are optimal based on the criteria defined by A.G.M. Michell in his frequently referenced 1904 paper. Michell states that “a frame (today called truss) (is optimal) attains the limit of economy of material possible in any frame-structure under the same applied forces, if the space occupied by it can be subjected to an appropriate small deformation, such that the strains in all the bars of the frame are increased by equal fractions of their lengths, not less than the fractional change of length of any element of the space.” (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label">rdfs:label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">Estructuras de Michell (es)</li> <li>Michell structures (en)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#sameAs">owl:sameAs</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="owl:sameAs" resource="http://www.wikidata.org/entity/Q60790440" 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