Second-Order Elastic Analysis of Frames Using Single Imperfect Element per Member
Publication: Journal of Structural Engineering
Volume 121, Issue 6
Abstract
In practical stability design and analysis of steel members and structures, one must allow for member imperfection. Various national design codes impose different values of initial imperfection for member-strength determination, such as 0.001 of the member length in the 1986 Load and Resistance Factor Design Specification for Structural Steel Buildings . This paper presents a new method of including the effects of initial imperfection in the element stiffness without needing to adopt a curved-element formulation, which is deficient for members under high axial load, or to divide a member into two or more straight elements in order to simulate member imperfection. A very considerable savings and convenience in data-manipulation effort and computer time can be achieved when using the proposed element.
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References
1.
Al-Bermani, and Kitipornchai(1990). “Nonlinear analysis of thin-walled structures using least element/member.”J. Struct. Engrg., ASCE, 116(1), 215–234.
2.
Austin, W. J., and Ross, T. J.(1976). “Elastic buckling of arches under symmetrical loading.”J. Struct. Div., ASCE, 102(5), 1085–1095.
3.
Chan, S. L. (1988). “Geometric and material nonlinear analysis of beam-columns and frames using the minimum residual displacement method.”Int. J. Numerical Methods in Engrg., Vol. 26, 2657–2669.
4.
Chan, S. L.(1991). “A generalised numerical procedure for nonlinear analysis of frames exhibiting a limit or a bifurcation point.”Int. J. Space Struct., 6(2), 99–114.
5.
Chan, S. L., and Kitipornchai, S. (1987). “Geometric nonlinear analysis of asymmetric thin-walled beam-columns.”Engrg. Struct., Vol. 9, 243–254.
6.
Chan, S. L., and Zhou, Z. H.(1994). “Pointwise equilibrating polynomial element for nonlinear analysis of frames.”J. Struct. Engrg., ASCE, 120(6), 1703–1717.
7.
Elias, Z. M., and Chen, K. L.(1988). “Nonlinear shallow curved-beam finite element.”J. Engrg. Mech., ASCE, 114(6), 1076–1087.
8.
Gere, J. M., and Weaver, W. J. (1965). Analysis of framed structures . Van Nostrand Reinhold, New York, N.Y.
9.
“GM-NAF: Geometric and material nonlinear analysis of frames.” (1993). User's Reference Manual 9303-03, Hong Kong Polytechnic Univ., Hung Hom, Kowloon, Hong Kong.
10.
Ho, W. G. M., and Chan, S. L.(1991). “Semi-bifurcation and bifurcation analysis of flexibly connected steel frames.”J. Struct. Engrg., ASCE, 117(8), 2299–2319.
11.
Jagannathan, D. S., Epstein, H. I., and Christiano, P. (1975). “Nonlinear analysis of reticulate space trusses.”J. Struct. Div., ASCE, 2641–2658.
12.
Kondoh, K., and Atluri, S. N. (1986). “A simplified finite element method for large deformation, post-buckling analysis of large frame structures, using explicitly derived tangent stiffness matrices.”Int. J. Numerical Methods in Engrg., Vol. 23, 69–90.
13.
Load and resistance factor design specification for structural steel buildings. (1986). Am. Inst. of Steel Constr. (AISC), Chicago, Ill.
14.
Plastic hinge based methods for advanced analysis and design of steel frames. (1993). White, D. W., and Chen, W. F., eds., Structural Stability Res. Council, Lehigh Univ., Bethlehem, Pa.
15.
Schmidt, R., and DeDeppo, D. A. (1971). “A survey of literature on large deflections of non-shallow arches: bibliography of finite deflection of straight and curved beams, rings, and shallow arches.”Industrial Mathematics, J. IMS, Vol. 21, Part 2, 91–114.
16.
So, A. K. W., and Chan, S. L. (1991). “Buckling analysis of frames using 1 element/member.”J. Constr. Steel Res., Vol. 20, 271–289.
17.
“Steel structures.” (1990). AS4100-1990, Standards Association of Australia, Sydney, Australia.
18.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill, New York, N.Y.
19.
Wen, R. K., and Lange, J.(1981). “Curved element for arch buckling analysis.”J. Struct. Engrg., ASCE, 107(11), 2053–2069.
20.
Wen, R. K., and Suhendro, B.(1991). “Nonlinear curved-beam element for arch structures.”J. Struct. Engrg., ASCE, 117(11), 3496–3514.
21.
Zhou, Z. H., and Chan, S. L. (1993). “A self-equilibrating element for second order analysis of semi-rigid jointed frames.”J. Engrg. Mech., ASCE (to appear).
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 121 • Issue 6 • June 1995
Pages: 939 - 945
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Jun 1, 1995
Published in print: Jun 1995
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