Buckling Behavior of Elastic Circular Arches
Publication: Journal of Engineering Mechanics
Volume 117, Issue 11
Abstract
The research reported herein is concerned with the finite deformations and snap‐through buckling behavior of slender symmetrical uniform and nonuniform elastic circular arches with clamped end supports at large deflection under a vertical downward concentrated load at the crown. Values of height‐to‐span ratios equal to 0.2, 0.25, 0.3, 0.4, and 0.5 for each value of the depth of the section at support to the depth of the section at crown equal to 1.0,1.5, and 2.0 are considered. Comparison between the results obtained and the results calculated by others is carried out.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Austin, W. J., and Ross, T. J. (1976). “Elastic buckling of arches under symmetrical loading.” J. Struct. Div., 102(5), 1085–1095.
2.
DaDeppo, D. A., and Schmidt, R. (1969). “Nonlinear analysis of buckling and postbuckling behavior of circular arches.” Zeitschrift fur Angewandte Mathematik and Physik, 20(6), 847–857.
3.
DaDeppo, D. A., and Schmidt, R. (1970). “Large deflections of eccentrically loaded arches.” Zeitschrift fur Angewandte Mathematik and Physik, 21(6), 991–1004.
4.
DaDeppo, D. A., and Schmidt, R. (1971). “Nonlinear theory of arches with transverse shear deformation and rotary inertia.” Indust. Math., 21, Part I, 33–49.
5.
DaDeppo, D. A., and Schmidt, R. (1972). “Large deflections of elastic arches and beams with shear deformation.” Indust. Math., 22, Part I, 17–33.
6.
DaDeppo, D. A., and Schmidt, R. (1974). “Large deflections and stability of hingeless circular arches under interacting loads.” J. Appl. Mech., 41(4), 986–994
7.
Dinnik, A. N. (1933). Vestnik inzhenerov. (8) and (12).
8.
Fujii, F. (1989). “Scheme for elastics with snap‐back and looping.” J. Engrg. Mech., ASCE, 115(10), 2166–2181.
9.
Huddleston, J. V. (1968a). “A numerical technique for elastic problems.” J. Engrg. Mech. Div., ASCE, 94(5), 1159–1169.
10.
Huddleston, J. V. (1968). “Finite deflections and snap through of high circular arches.” J. Appl. Mech., ASME, 90, Series E, 763–769.
11.
Huddleston, J. V. (1971). “Nonlinear analysis of steep, compressible arches of any shapes.” J. Appl. Mech., ASME, 35(4), 942–946.
12.
Langhaar, H. L., Boresi, A. P., and Carver, D. R. (1954). “Energy theory of buckling of circular elastic rings and arches.” Proc. Second U.S. National Cong. of Applied Mechanics, 437–443.
13.
Lind, N. C. (1962). “Elastic buckling of symmetrical arches.” Technical Report No. 3, University of Illinois Engineering Experiment Station.
14.
Qaqish, S. S. (1977). “Buckling behavior of symmetric arches,” thesis presented to the University of Arizona, at Tucson, Ariz., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
15.
Qaqish, S. S. (1989). “Comparison between linear and nonlinear structural analysis and using very small increments in solving nonlinear structural analysis.” Comput. Struct.
16.
Schmidt, R., and DaDeppo, D. A. (1972). “Buckling of clamped circular arches subjected to a point load.” Zeitschrift für Angewandte Mathematik und Physik, 23, 146–148.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 117 • Issue 11 • November 1991
Pages: 2659 - 2680
Copyright
Copyright © 1991 ASCE.
History
Published online: Nov 1, 1991
Published in print: Nov 1991
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.