TECHNICAL PAPERS
Jun 1, 1985

Inelastic Cyclic Analysis of Imperfect Columns

Publication: Journal of Structural Engineering
Volume 111, Issue 6

Abstract

The hysteretic behavior of a simply supported prismatic steel column with initial out‐of‐straightness subjected to cyclic loading is presented. The analysis is based on the plastic hinge concept, which under the assumption of perfect plasticity together with the one‐dimensional idealization of the column, has led to an elegant closed form solution for any history of axial loading. The exact yield curve of any type of cross‐sectional shape is adequately approximated by a piecewise linear interpolation of the fully plastic states in pure bending and in pure tension and compression. The results presented here illustrate the imperfection sensitivity of column cyclic behavior. The effect of various slenderness ratios combined with different initial imperfection sizes as well as the effect of different approximation to the exact yield curve are also presented.

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References

1.
Higginbotharn, A. B., “Axial Hysteretic Behavior of Steel Members,” Journal of the Structural Division, ASCE, Vol. 102, No. ST7, July, 1976, pp. 1365–1381.
2.
Little, G. H., “Complete Collapse Analysis of Steel Columns,” International Journal of Mechanical Science, Vol. 24, No. 5, 1982, pp. 279–298.
3.
Nonaka, T., “Approximation of Yield Condition for the Hysteretic Behavior of a Bar under Repeated Axial Loading,” International Journal of Solids and Structures, Vol. 13, 1977, pp. 637–643.
4.
Nonaka, T., “An Elastic‐Plastic Analysis of a Bar under Repeated Axial Loading,” International Journal of Solids and Structures, Vol. 9, 1973, pp. 569–580.
5.
Prathuangsit, D., Goel, S. C., and Hanson, R. D., “Axial Hysteresis Behavior with End Restraints,” Journal of the Structural Division, ASCE, Vol. 104, No. ST6, 1978, pp. 883–898.
6.
Shibata, M., “Analysis of Elastic‐Plastic Behavior of a Steel Brace Subjected to Repeated Axial Force,” International Journal of Solids and Structures, Vol. 18, No. 3, 1982, pp. 217–228.
7.
Toma, S., and Chen, W. F., “Inelastic Cyclic Analysis of Pin‐Ended Tubes,” Journal of the Structural Division, ASCE, Vol. 108, No. ST10, 1982, pp. 2279–2294.
8.
Wakabayashi, M., and Shibata, M., “Studies on the Post‐Buckling Behavior of Braces,” Part 4, Abstracts of the Annual Meeting, Kinki Branch, Architectural Institute of Japan, 1976, p. 201.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 111Issue 6June 1985
Pages: 1219 - 1234

History

Published online: Jun 1, 1985
Published in print: Jun 1985

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Authors

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Manolis Papadrakakis, M. ASCE
Senior Lecturer, Inst. of Structural Analysis, National Tech. Univ., Athens, Greece
Lefteris Chrysos
Grad. Student, Dept. of Civ. Engrg., National Tech. Univ., Athens, Greece

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