On the modelling of vaulted structures of equal strength

DOI10.1007/s00004-020-00507-yzbMath1498.00024OpenAlexW3040395933MaRDI QIDQ2097152

Vladimir Živaljević, Dimitrije Nikolić

Publication date: 11 November 2022

Published in: Nexus Network Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00004-020-00507-y

zbMATH Keywords

shape optimizationcatenaryequilibrium analysisvaultsequal strengthMilutin Milankovitch

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Mathematics and architecture (00A67)

Cites Work

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• The effect of stereotomy on the shape of the thrust-line and the minimum thickness of semicircular masonry arches
• How the Gateway Arch got its shape
• Milankovitch's \textit{Theorie der Druckkurven}: Good mechanics for masonry architecture
• Über Schalen gleicher Festigkeit
• Zu den anisotropen Membranschalen mit gegebenenfalls gleicher Festigkeit
• An amateur's contribution to the design of Telford's Menai Suspension Bridge: a commentary on Gilbert (1826) ‘On the mathematical theory of suspension bridges’
• Optimal spherical cupola of uniform strength
• Optimal cupolas of uniform strength: Spherical M-shells and axisymmetric T-shells;Optimale Kuppeln gleicher Festigkeit: Kugelschalen und axialsymmetrische Schalen

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