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Pure bending of an I-section beam having initial curvature

Published online by Cambridge University Press:  04 July 2016

D. G. Antonaras  and
G. I. Tzivanidis
D. G. Antonaras
Affiliation:
Department of Mechanics, University of Ioannina, Greece
G. I. Tzivanidis
Affiliation:
Department of Mechanics, University of Ioannina, Greece
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Extract

From the two ‘approximate’ theories of bending—Elementary Theory and Winkler available to designers for the determination of bending stresses in beams having initial curvature, the Winkler approximate solution is the one closer to the exact solution development by Golovin.

Timoshenko and Goodier show a comparison of stresses resulting from the three theories for a beam having rectangular cross-section. It is shown here that the values of bending stresses given by Winkler theory are very close to Golovin's exact results. The difference between the two theories lies in the range of 0·1–3·1 % increasing with the ratio, c/a, of the outer to inner radius of curvature of the beam. The above close relationship between the two theories for a beam of rectangular cross-section is also reported by Ford.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 82 , Issue 816 , December 1978 , pp. 523 - 526
Copyright
Copyright © Royal Aeronautical Society 1978 

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References

1. Winkler, E. Zivilingenieur, Vol 4, p 232, 1858.Google Scholar
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4. Ford, H. Advanced mechanics of materials (First Edition), pp 257–258, Longmans, London, 1963.Google Scholar
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