dc.contributor.author Naicu, Dragos I. dc.date.accessioned 2017-10-24T14:04:42Z dc.date.available 2017-10-24T14:04:42Z dc.date.issued 2015-10-19 dc.identifier.isbn 978-94-944-244-8-9 dc.identifier.uri http://hdl.handle.net/2117/109059 dc.description.abstract The problem of finding the tallest possible column that can be constructed from a given volume of material without buckling under its own weight was finally solved by Keller and Niordson in 1966. The cross-sectional size of the column reduces with height so that there is less weight near the top and more bending stiffness near the base. Their theory can also be applied to tall buildings if the weight is adjusted to include floors, live load, cladding and finishes. In this paper we simplify the Keller and Niordson derivation and extend the theory to materials with non-linear elasticity, effectively limiting the stress in the vertical structure of the building. The result is one highly non-linear ordinary differential equation which we solve using dynamic relaxation. dc.format.extent 12 p. dc.language.iso eng dc.publisher CIMNE dc.subject Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits dc.subject.lcsh Finite element method dc.subject.lcsh Air-supported structures dc.subject.other Column buckling dc.subject.other Non-linear material dc.subject.other Self-weight dc.subject.other Dynamic relaxation dc.subject.other Tallest column dc.subject.other Optimal design dc.title The use of dynamic relaxation to solve the differential equation describing the shape of the tallest possible building dc.type Conference lecture dc.subject.lemac Estructures pneumàtiques dc.rights.access Open Access local.citation.contributor Structural Membranes 2015 local.citation.pubplace Barcelona local.citation.publicationName Textiles composites and inflatable structures VII : proceedings of the VII International Conference on Textile Composites and Inflatable Structures, Barcelona, Spain. 19-21 October, 2015 local.citation.startingPage 34 local.citation.endingPage 45
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