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The interaction of local buckling and column failure of thin-walled compression members

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Applied Mechanics

Abstract

Thin walled compression members, as used in aircraft structures (Fig. 1), are subject to column failure (bending), torsional buckling and local buckling.

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Abbreviations

a :

wave amplitude of flange (imperfection)

b :

flange width

c :

half column depth, radius of gyration

e 0 :

wave amplitude of column axis (imperfection)

h :

thickness of flange

x :

longitudinal coordinate

K :

compressive load of eolumn

L :

column length

P :

compressive force of flange

W :

column deflection

α = a/h :

waviness parameter

ε :

compressive strain, or overall specific shortening (-ΔL/L)

η :

d(P/P l )/d(ε/ε l ), stiffness reduction factor

ξ :

Ï€x/L

()′:

d( )/dP/P l

suffix b :

refers to (b)ending buckling load

suffix f :

refers to (f)ailure load

suffix l :

refers to (l)ocal buckling load

suffix E :

refers to (E)uler column load

Reference

  1. Campus, F., and Massonet, Ch.: Comportement postcritique des plaques utilisées en construction métallique, Colloque international tenu a T Université de Liège les 12 et 13/11/’62, Mémoires de la Société Royale des Sciences de Liège, 5me série, tome VIII, fascicule 5. Interventions de W. T. Koiter et M. Skaloud pages 64–68, 103, 104.

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  2. Hemp, W. S.: The theory of flat panels buckled in compression. Aeronautical Research Council, Reports and Memoranda, No. 2178, June 1945.

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  3. Koiter, W. T.: On the stability of the elastic equilibrium (in Dutch) Doctor thesis. Technological University, Delft, 1945.

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© 1969 Springer-Verlag Berlin Heidelberg

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van der Neut, A. (1969). The interaction of local buckling and column failure of thin-walled compression members. In: Hetényi, M., Vincenti, W.G. (eds) Applied Mechanics. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85640-2_31

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  • DOI: https://doi.org/10.1007/978-3-642-85640-2_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85642-6

  • Online ISBN: 978-3-642-85640-2

  • eBook Packages: Springer Book Archive

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