Hostname: page-component-7bb8b95d7b-5mhkq Total loading time: 0 Render date: 2024-09-16T11:52:19.888Z Has data issue: false hasContentIssue false
  • English
  • Français

The Local Buckling and Post Local Buckling Behaviour of Thin-Walled Beams

Published online by Cambridge University Press:  07 June 2016

J. Rhodes  and
J. M. Harvey
J. Rhodes
Affiliation:
University of Strathclyde, Glasgow
J. M. Harvey
Affiliation:
University of Strathclyde, Glasgow
Get access

Summary

This paper presents a theoretical analysis of the behaviour of thin-walled lipped channel beams subjected to end moments. In the analysis the beam section is assumed to be composed of a number of flat plates, joined at the edges. The mechanics of local instability of the walls of the beam are examined from a consideration of the strain energy stored in the component plates, and critical moments to cause local buckling are evaluated. The behaviour of the beam after local buckling is studied using a semi-energy method, whereby the stress and deflection systems throughout the section are linked by solving von Kármán’s compatibility equation for the component plates and the stress and deflection magnitudes are found from energy considerations. As collapse of the beam is approached, a simple plasticity analysis is incorporated in the theory in order to evaluate the collapse moment for the beam.

The results of the analysis are compared with the findings of an extensive experimental investigation and it is shown that the theory is very accurate in its prescription of the experimental stresses and deflections. Comparison of the theoretical and experimental collapse moments also verifies the validity of the theoretical analysis.

Type
Research Article
Information
Aeronautical Quarterly , Volume 22 , Issue 4 , November 1971 , pp. 363 - 388
Copyright
Copyright © Royal Aeronautical Society. 1971

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. Winter, G. Strength of thin steel compression flanges. Cornell University Engineering Experimental Station, Reprint No. 32, 1947.Google Scholar
2. Winter, G. Four papers on the performance of thin-walled steel structures. Cornell University Engineering Experimental Station, Reprint No. 33, 1947.Google Scholar
3. Harvey, J. M. Studies on the interaction of plate components of structural sections under selected load conditions. Ph.D. Thesis, University of Glasgow, 1952.Google Scholar
4. Winter, G. Commentary on the 1962 edition of the Light gage cold-formed steel design manual of the American Iron and Steel Institute.Google Scholar
5. Johnson, A. L. and Winter, G. Behaviour of stainless steel columns and beams. Proceedings, American Society of Civil Engineers, Vol. 92, No. ST5, 1966.Google Scholar
6. Jombock, J. P. and Clark, J. W. Bending strength of aluminum formed sheet members. Proceedings, American Society of Civil Engineers, No. ST2, 1968.CrossRefGoogle Scholar
7. Rhodes, J. The non-linear behaviour of thin-walled beams subjected to pure moment loading. Ph.D. Thesis, University of Strathclyde, 1969.Google Scholar
8. Marguerre, K. The apparent width of the plate in compression. NACA TN 833, 1937.Google Scholar
9. Rhodes, J. and Harvey, J. M. The design of thin-walled beams. Fourth International Conference on Stress Analysis, Cambridge, 1970.Google Scholar