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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
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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

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References

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