Abstract
A very large literature exists on the static analysis of thin shell structures, covering elastic stress states, elastic buckling, plastic collapse and elasticplastic failures. Modern approaches to these problems usually involve the use of computer programs to perform a variety of different alternative types of calculation. However, the way in which different analyses should be used in the design process has received much less attention until recently. The new European Standard for the Strength and Stability of Shells sets out a philosophical framework that accommodates the results of both algebraic analysis and different levels of sophistication in computer analyses. This paper describes the philosophy on which the new standard is based, and outlines the way in which the various analyses should be used, when applied in design practice. It also identifies some of the remaining difficulties which pose challenges of definition and interpretation, and which need debate in the scientific community.
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References
ACI-334 (1992) Concrete Thin Shell Design and Construction, ACI 334–92, American Concrete Institute, Detroit.
Brush, D.O. and Almroth, B.O. (1976) Buckling of Bars, Plates and Shells, McGraw-Hill, New York.
Bushnell, D. (1985) Computerized buckling analysis of shells, Dordrecht.
Calladine, C.R. (1983) Theory of Shell Structures, Cambridge University Press, Cambridge.
Calladine, C.R. (1985) Plasticity for Engineers, Ellis Horwood, Chichester.
Calladine, C.R. (1995) Understanding imperfection-sensitivity in the buckling of thin-walled shells, Thin Walled Structures: Special Issue on Imperfection-Sensitive Shells, ed. G.D. Galletly, 23, 215–235.
ECCS (1988) European Recommendations for Steel Construction: Buckling of Shells, 4th edition, European Convention for Constructional Steelwork, Brussels.
ENV 1993-1-6 (1999) Eurocode 3: Design of steel structures, Part 1.6: General rules — Supplementary rules for the strength and stability of shell structures, Eurocode 3 Part 1.6, CEN, Brussels.
Heyman, J. (1971) Plastic design of frames: Volume II Applications, Cambridge University Press, Cambridge, England.
Holst, J.M.F.G., Rotter, J.M. and Calladine, C.R. (1996) Geometric imperfections and consistent residual stress fields in elastic cylinder buckling under axial compression, Proc. Int. Workshop: Imperfections in Metal Silos: Measurement, Characterisation and Strength Analysis, CA-Silo, Lyon, France, 19 April, pp 199–216.
Holst, J.M.F.G., Rotter, J.M., Gillie, M. and Münch, M. (2002) Failure criteria for shells on local bracket supports, New Approaches to Structural Mechanics, Shell and Biological Structures, edited by H. Drew and S. Pellegrino, Kluwer Academic Publishers, London.
Horne, M. R. (1971) Plastic Theory of Structures, Nelson, London.
Koiter, W.T. (1945) On the Stability of Elastic Equilibrium, (in Dutch) PhD Thesis, Delft University, (see also Translation AFFDL-TR-70–25 Wright Patterson Air Force Base, 1970).
Massonnet, C.E. and Save, M.A. (1972) Plastic Analysis and the Design of Plates Shells and Disks, North-Holland.
Rankine, W.J.M. (1866) Useful Rules and Tables, London.
Rotter, J.M. (1987) Bending Theory of Shells for Bins and Silos, Transactions of Mechanical Engineering, Institution of Engineers, Australia, Vol. ME12 No.3 September, pp 147–159.
Rotter, J.M. (1997) Pressurised axially compressed cylinders, Proc., Int. Conf. on Carrying Capacity of Steel Shell Structures, Brno, 1–3 October, pp 354–360.
Rotter, J.M. (1998a) Shell structures: the new European standard and current research needs, Thin-Walled Structures, Vol. 31, pp 3–23.
Rotter, J.M. (1998b) Development of proposed European design rules for buckling of axially compressed cylinders, Advances in Structural Engineering, Vol. 1, No. 4, July, pp 273–286.
Rotter, J.M. (1999) Proposal for generalisation of the elastic-plastic buckling interaction rule from Eurocode 3 Part 1.6, submission to CEN TC250/SC3/PT4 and ECCS TWG8.4 Buckling of Shells.
Teng, J.G. (1996) Buckling of thin shells: recent advances and trends, Applied Mechanics Reviews, Vol. 49, No. 4 April, pp 263–274.
Timoshenko, S.P. and Gere, J.M. (1961) Theory of Elastic Stability, 2nd edn, McGraw-Hill, New York.
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Rotter, J.M. (2002). Shell Buckling and Collapse Analysis for Structural Design. 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_28
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DOI: https://doi.org/10.1007/978-94-015-9930-6_28
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