Ultimate Strength Analysis of Curved I‐Beams
Publication: Journal of Engineering Mechanics
Volume 109, Issue 1
Abstract
A method of analyzing the elastic and inelastic large‐displacement behavior of horizontally curved I‐beams based on the transfer matrix method is presented. The field transfer matrix is derived under the assumption that the elastic core in each segment is constant and the resultant force in the yielded portions of the cross section is replaced by the external force. The point transfer matrix is derived using the continuity of the displacements and the principal of virtual work taking into account the discontinuity of centroidal lines at the nodes. A computer program based on this theory has been developed and the theoretical values for the deformation and the ultimate strengths are shown to be in good agreement with experimental results. Some numerical examples are also presented. The effects of cross‐sectional dimensions, loading conditions, and residual stresses on the ultimate strength are analyzed for specified central angles of curved beams.
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References
1.
Becker, G., “Ein Beitrag zur statischen Berechnung beliebig gelagerter ebener gekrümmter Stäbe mit einfach symmetrischen dünnwandigen offenen Profielen von in Stabachse veränderlichen Querschnitt under Berücksichtigung der Wölbkrafttorsion,” Der Stahlbau, Heft 11/12, Nov./Dec., 1965, pp. 334–346/368–377.
2.
“Curved I‐Girder Bridge Design Recommendations,” by the Task Committee on Curved Girders of the ASCE‐AASHTO Committee on Flexural Members of the Committee on Metals of the Structural Division, William L. Armstrong, Chmn., Journal of the Structural Mechanics Division, ASCE, Vol. 103, No. ST5, Proc. Paper 12955, May, 1977, pp. 1137–1168.
3.
Enda, Y., “Analysis of Thin‐Walled Curved Beams with Open Cross Section as Finite Displacement Theory by Transfer Matrix Method,” Proceedings of Japan Society of Civil Engineers, No. 199, Mar., 1972, pp. 11–20 (in Japanese).
4.
Fukumoto, Y., and Kubo, M., “An Experimental Review of Lateral Buckling of Beams and Girders,” International Colloquium on Stability of Structures under Static and Dynamic Loads, ASCE, 1977, pp. 541–562.
5.
Fukumoto, Y., and Nishida, S., “Ultimate Load Behavior of Curved I‐Beams,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM2, Proc. Paper 16200, Apr., 1981, pp. 367–385.
6.
Galambos, T. V., Structural Members and Frames, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1968.
7.
Lindner, J., “Näherungsweise Ermittlung der Traglasten von auf Biegung und Torsion beanspruchten I‐Trägern,” Die Bautechnik, Heft 5, May, 1971 pp. 160–170.
8.
Pestel, E. C., and Leckie, F. A., Matrix Methods in Elastomechanics, McGraw‐Hill Book Co., Inc., New York, N.Y., 1963.
9.
Roik, K., Carl, J., and Lindner, J., Biegetorsionsprobleme gerader dünnwandiger Stäbe, Wilhelm Ernst & Son, Berlin, Germany, 1972.
10.
Yoo, C. H., and Heins, C. P., “Plastic Collapse of Horizontally Curved Bridge Girders,” Journal of the Structural Mechanics Division, ASCE, Vol. 98, No. ST4, Proc. Paper 8848, Apr., 1972, pp. 889–914.
11.
Vlasov, V. Z., Thin‐walled Elastic Beams, 2nd ed., National Science Foundation, Washington, D.C., 1961.
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Copyright © 1983 ASCE.
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Published online: Feb 1, 1983
Published in print: Feb 1983
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