Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-24T17:02:59.955Z Has data issue: false hasContentIssue false

Stability Functions for the Local Buckling of Thin Flat-Walled Structures with the Walls in Combined Shear and Compression

Published online by Cambridge University Press:  07 June 2016

W. H. Wittrick
Affiliation:
Department of Civil Engineering, University of Birmingham
P. L. V. Curzon
Affiliation:
Department of Civil Engineering, University of Birmingham
Get access

Summary

This paper is concerned with the local buckling of long thin flat-walled structures, such as integrally stiffened panels or corrugated core sandwich panels, loaded in such a way that the individual flats are in combined uniform longitudinal compression and shear. When buckling occurs the line junctions between adjoining flats remain straight, and the flats are subjected on their long edges to sinusoidally varying edge moments. These produce sinusoidally varying edge rotations which, when shear is present, are in general out of phase with each other and with the moments. Relations between the edge moments and rotations are obtained in terms of two stability functions, one of which is real and the other complex, to take account of phase differences. Explicit expressions are derived for these stability functions and tables are included, giving their values for the case of pure shear.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Cox, H. L. Computation of initial buckling stress for sheet-stiffener combinations. Journal of the Royal Aeronautical Society, Vol. 58, pp. 634-8, 1954.Google Scholar
2. Budiansky, B., Stein, M. and Gilbert, A. C. Buckling of a long square tube in torsion and compression. NACA TN 1751, 1948.Google Scholar
3. Southwell, R. V. and Skan, S. W. On the stability under shearing forces of a flat elastic strip. Proc. Roy. Soc., A, Vol. 105, p. 582, 1924.Google Scholar
4. Turnbull, H. W. Theory of equations. Third edition, Oliver and Boyd, Edinburgh, 1946.Google Scholar
5. Livesley, R. K. and Chandler, B. D. Stability functions for structural frameworks. Manchester University Press, 1956.Google Scholar