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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 104))

Abstract

Several criteria are given in design standards for determining the failure load of cylindrical shell structures. When the loading is nonuniform, a nonlinear finite element analysis is required to capture fully the deformation characteristics of the shell and to obtain a true estimate of the failure load. However, even if a fully nonlinear analysis is performed, the determination of the strength of the shell is not always easily achievable. Several different forms of nonlinear load-deformation behaviour are found. The adequacy of existing design guidelines for obtaining an estimate of the design strength is examined. For certain types of behaviour alternative methods are suggested that may provide a more definitive measure. The numerical results are based on silos supported locally on brackets. The results are, however, more widely applicable to shells under a general set of loads. The bracket-supported silo is used in the calculations as it provides a good example of a simple design, but with a relatively complex pattern of deformations leading to a highly nonuniform stress state.

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References

  • Calladine, C.R. (1983) Theory of Shell Structures, Cambridge University Press, Cambridge.

    Book  MATH  Google Scholar 

  • ENV 1993–1–6 (1999) Eurocode 3: Design of Steel Structures, Part 1–6: General Rules: Supplementary Rules for Shell Structures.

    Google Scholar 

  • ENV 1993–4–1 (1999) Eurocode 3: Design of Steel Structures, Part 4–1: Silos.

    Google Scholar 

  • Gillie, M. and Holst, J.M.F.G. (2002) Structural behaviour of discretely supported silos, Report no. R02–01, School of Civil and Environmental Engineering, University of Edinburgh.

    Google Scholar 

  • Gillie, M., Holst, J.M.F.G., Münch, M. and Rotter, J.M. (2002) Behaviour of silos supported on discrete brackets, International Journal of Structural Stability and Dynamics, In Press.

    Google Scholar 

  • HKS (2000) ABAQUS/Standard User’s Manual, Hibbitt, Karlsson and Sorenson, Inc., Pawtucket, Rhode Island.

    Google Scholar 

  • Holst, J.M.F.G., Münch, M. and Rotter (2001) Failure criteria in thin shells, Report no. R01–09, School of Civil and Environmental Engineering, University of Edinburgh.

    Google Scholar 

  • Holst, J.M.F.G. and Rotter (2001) Geometric imperfections, residual stresses and buckling in cylindrical shells with local support settlement, Presented at Euromech 424, Rolduc-Kerkrade, September 2001.

    Google Scholar 

  • Horne, M.R. and Merchant, W. (1965) The Stability of Frames, Pergamon Press. Oxford.

    Google Scholar 

  • Roorda, J. (1967) Some thoughts on the Southwell plot, Journal of the Engineering Mechanics Division, ASCE 93, 37–48.

    Google Scholar 

  • Southwell, R.V. (1932) On the analysis of experimental observations in problems of elastic stability, Proceedings of the Royal Society of London, Series A 135, 601–616.

    Article  MATH  Google Scholar 

  • Spencer, H.H. and Walker, A.C. (1975) Critique of Southwell plots with proposals for alternative methods, Experimental Mechanics 15, 303–310.

    Article  Google Scholar 

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© 2002 Springer Science+Business Media Dordrecht

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Holst, J.M.F.G., Rotter, J.M., Gillie, M., Münch, M. (2002). Failure Criteria for Shells on Local Brackets. In: Drew, H.R., Pellegrino, S. (eds) New Approaches to Structural Mechanics, Shells and Biological Structures. Solid Mechanics and Its Applications, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9930-6_25

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  • DOI: https://doi.org/10.1007/978-94-015-9930-6_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6120-1

  • Online ISBN: 978-94-015-9930-6

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