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Research Article

Maximum spanning capacity of a catenary arch under self-weight against buckling

C.M. WangSchool of Civil Engineering, The University of Queensland, Brisbane, Australia
&
J.M. ZhangSchool of Civil Engineering, The University of Queensland, Brisbane, AustraliaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0009-0006-3681-8017
ORCID Icon
Received 09 Mar 2024, Accepted 14 May 2024, Published online: 29 May 2024

References

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  • Frich-Fay, R. 1966. “On the Stability of a Strut Under Uniformly Distributed Axial Forces.” International Journal of Solids and Structures 2 (3): 361–369. https://doi.org/10.1016/0020-7683(66)90026-6.
  • Greenhill, A. G. 1881. “Determination of the Greatest Height Consistent with Stability That a Vertical Pole or Mast Can Be Made, and the Greatest Height to Which a Tree of Given Proportions Can Grow.” Proceedings of the Cambridge Philosophical Society 4:65–73.
  • Hencky, H. 1920. “Uber die angenaherte Losung von Stabilitatspoblemen im Raum mittels der elastichen Gelenkkette.” Der Eisenbau 11:437–452.
  • Silverman, I. K. 1951. “Discussion on the Paper of Salvadori, M.G. Numerical Computation of Buckling Loads by the Finite Differences.” Transactions of the American Society of Civil Engineers 116 (1): 625–626. https://doi.org/10.1061/TACEAT.0006570.
  • Wang, C. Y. 1987. “Buckling and Postbuckling of Heavy Columns.” Journal of Engineering Mechanics 113 (8): 1229–1233. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:8(1229).
  • Wang, C. Y. 2015. “The Optimum Spanning Catenary Cable.” European Journal of Physics 36 (2): 028001. https://doi.org/10.1088/0143-0807/36/2/028001.
  • Wang, C. M., C. Y. Wang, and J. N. Reddy. 2005. Exact Solutions for Buckling of Structural Members. Boca Raton: CRC Press.
  • Wang, C. M., Y. Xiang, and C. Y. Wang. 2002. “Elastic Buckling of Standing Vertical Plates Under Body Forces.” International Journal of Structural Stability and Dynamics 2 (2): 151–161. https://doi.org/10.1142/S0219455402000531.
  • Wang, C. M., H. Zhang, N. Challamel, and W. H. Pan. 2020. Hencky Bar-Chain/net for Structural Analysis. Singapore: World Scientific.
  • Wang, C. M., H. Zhang, R. P. Gao, W. H. Duan, and N. Challamel. 2015. “Hencky Bar-Chain Model for Buckling and Vibration of Beams with Elastic End Restraints.” International Journal of Structural Stability and Dynamics 15 (7): 1540007. https://doi.org/10.1142/S0219455415400076.

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