Yield Surfaces for I‐Sections with Bimoments
Publication: Journal of Structural Engineering
Volume 115, Issue 12
Abstract
This paper presents the yield‐surface diagrams for an I‐section subjected to five active‐stress resultants, including the axial compression, two bending moments, torsion, and bimoment. The difficulties involved in establishing the five‐dimensional yield‐surface equations are circumvented through the adoption of a parametric approach. This approach treats an I‐section as the composition of three thin plates; i.e., one web and two flanges. The entire cross section is considered plastic only when all of its component plates become plastic, with one exception. One advantage to the present approach is that yielding of each component plate can be described by a two‐dimensional yield curve. In developing the yield‐surface diagrams for the I‐section, three yield patterns are identified. The results indicate that neglect of the bimoment effect will overestimate the plastic strength of the I‐section.
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References
1.
Chen, W. F., and Atsuta, T. (1977). Theory of beam‐columns, Vol. 2: Space behavior and design. McGraw‐Hill Book Co., New York, N.Y., 195–269.
2.
Daddazio, R. P., Bieniek, M. P., and DiMaggio, F. L. (1983). “Yield surface for thin bars with warping restraint.” J. Engrg. Mech., ASCE, 109(2), 450–465.
3.
Gjelsvik, A. (1981). The theory of thin walled bars. John Wiley and Sons, Inc., New York, N.Y.
4.
Morris, G. A., and Fenves, S. J. (1969). “Approximate yield surface equations.” J. Engrg. Mech. Div., ASCE, 95(4), 937–954.
5.
Morris, G. A., and Fenves, S. J. (1970). “Elastic‐plastic analysis of frameworks.” J. Struct. Div., ASCE, 96(5), 931–946.
6.
Orbison, J. G., McGuire, W., and Abel, J. F. (1982). “Yield surface applications in nonlinear steel frame analysis.” Computer Methods in Appl. Mech. and Engrg., 33, 557–573,
7.
Porter, F. L., and Powell, G. H. (1971). “Static and dynamic analysis of inelastic frame structures.” Report No. EERC 71‐3, Earthquake Engrg. Res. Ctr., Univ. of California, Berkeley, Calif.
8.
Vlasov, V. Z. (1959). Thin‐walled elastic beams, 2nd Ed., Moscow, USSR, Israel Program for Sci. Translation, Jerusalem, Israel, 1961.
9.
Yang, Y. B., and Fan, H. T. (1988). “Yield surface modeling of I‐sections with nonuniform torsion.” J. Engrg. Mech., ASCE, 114(6), 953–972.
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Copyright © 1989 ASCE.
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Published online: Dec 1, 1989
Published in print: Dec 1989
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