Second‐Order Elastic Analysis for Frame Design
Publication: Journal of Structural Engineering
Volume 113, Issue 7
Abstract
Several methods of second‐order elastic analysis are developed here primarily for the practical use in mini‐ and microcomputers. To this end, the stiffness equations derived from the analytical solutions are first expressed in series expansion and then reduced by some simplifications. Their accuracy is then examined with regard to their applicability for practical design. This is followed by a comparison with the accuracy of the and factor analysis method recommended by the 1986 AISC/LRFD specification. The proposed method using one cycle of iteration is simplest and yet accurate enough for practical purposes. It can be easily implemented into the customary computer programs for the usual elastic first‐order analysis without increasing its capacity. Taking all these factors into consideration in conjunction with the demonstrated validity of the approach, it is recommended for general use.
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References
1.
Allen, H. G., and Bulson, P. S. (1980). Background of Buckling. McGraw‐Hill, U.K.
2.
Chen, W. F., and Lui, E. M. (1987). Structural Stability: Theory and Implementation. Elsevier, New York, N.Y.
3.
Chen W. F., and Zhou, S. P. (1987). “Inelastic analysis of steel braced frames with flexible joints.” J. Solids and Structures 23, No. 1.
4.
Cheong‐Siat‐Moy, F. (1972). “Consideration of secondary effect in frame design.” J. Struct. Div., ASCE, 103(10), pp. 2005–2019.
5.
Connor, J. J., Logcher, R. D., and Chan, S. C. (1968). “Nonlinear analysis of elastic framed structures.” J. Struct. Div., ASCE, 94(6), pp. 1525–1547.
6.
Galambos, T. V., Ed. (1987). “Finite element analysis of stability problems.” Guide to Structural Design Criteria for Metal Structures, 4th ed., Wiley‐Interscience, New York, N.Y.
7.
Goto, Y., and Chen, W. F. (1987). “On the computer‐based design analysis for the flexibly jointed frames.” J. Constructional Steel Research, 7(3) (To appear in July 1987).
8.
Horne, M. R., and Merchant, W. (1965). The Stability of Frames. Pergamon Press, Oxford, U.K.
9.
LeMessurier, W. J. (1976, 1977). “A practical method of second order analysis,” Part I and II. Engrg. J., AISC, No. 4, 1976, pp. 89–96
and No. 2, 1977, Chicago, Ill., pp. 49–67.
10.
Livesley, R. K., and Chandler, D. B. (1956). Stability Functions for Structural Frameworks. Manchester Univ. Press, Manchester, U.K.
11.
Load and Resistance Factor Design Specification for Structural Steel Buildings. (1986). American Inst. of Steel Construction, Chicago, Ill., Nov.
12.
Lu, Lewu (1983). “Frame research and design procedures.” Proc., SSRC, 3rd. Int. Colloquum on Stability of Metal Structures, Toronto, Canada, May, pp. 369–375.
13.
Mallet, R. H., and Marcal, P. V. (1968). “Finite element analysis of nonlinear structures.” J. Struct. Div., ASCE, 94(9), pp. 2081–2130.
14.
Nixon, D., Beaulieu, D., and Adams, P. F. (1975). “Simplified second‐order frame analysis.” Can. J. Civ. Engrg. 2(4rpar;
15.
Rosenblueth, E. (1965). “Slenderness effects in building.” J. Struct. Div., ASCE, 91(1), pp. 229–259.
16.
Rutenberg, A. (1981). “A direct P‐delta analysis using standard plane frame computer programs.” Computers and Structures, 14(1–2), pp. 97–102.
17.
Schilling, C. G. (1983). “Buckling of one story frames.” Engrg. J., AISC, No. 2, Chicago, Ill., pp. 49–57.
18.
Springfield, J., and Adams, P. F. (1972). “Aspects of column design in tall steel buildings.” J. Struct. Div., ASCE, 98(5), pp. 1069–1083.
19.
Stevens, L. K. (1967). “Elastic stability of practical multistory frames.” Proc. Institution Civ. Engrs. 36.
20.
White, D. W., and McGuire, W. (1985). “Method of analysis in LRFD.” Preprint of Struct. Engrg. Congress '85, Chicago, ASCE Struct. Div.
21.
Yura, J. A. (1971). “The effective length of columns in unbraced frames.” Engrg. J., AISC, No. 2, Chicago, Ill., pp. 37–42.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 113 • Issue 7 • July 1987
Pages: 1501 - 1519
Copyright
Copyright © 1987 ASCE.
History
Published online: Jul 1, 1987
Published in print: Jul 1987
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