End-Loaded Shallow Curved Beams
Publication: Journal of Structural Engineering
Volume 137, Issue 7
Abstract
This note examines the linear response of thin, shallow curved beams to an axially-directed compressive load. The response is tracked with a rise parameter drawn from related work on linear arches through which it is shown that the curved beam behaves like an axially compressed bar for small values of the rise parameter, whereas it responds as a beam in bending for large values of the parameter. This is totally opposite to that of laterally-loaded arches.
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Acknowledgments
The author gratefully acknowledges continuing conversations with his colleague, Emeritus Professor Harry E. Williams, and the thoughtful (and rapid) reviews that enhanced the clarity of presentation.
References
Armenàkas, A. E. (2006). Advanced mechanics of materials and applied elasticity, CRC Taylor Francis, Boca Raton, Florida.
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Budynas, R. G. (1999). Advanced strength and applied stress analysis, 2nd Ed., McGraw-Hill, New York.
Dym, C. L. (2002). Stability theory and its applications to structural mechanics, Dover Publications, Mineola, NY.
Dym, C. L., and Williams, H. E. (2011). “Stress and displacement estimates for arches.” J. Struct. Eng., 137(1), 49.
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Schreyer, H. L., and Masur, E. F. (1966). “Buckling of shallow arches.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 92(4), 1-19.
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© 2011 American Society of Civil Engineers.
History
Received: Jul 19, 2010
Accepted: Feb 16, 2011
Published online: Feb 18, 2011
Published in print: Jul 1, 2011
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