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Article
Affiliation(s)

Department of Civil, Environmental and Geomatics Engineering, Florida Atlantic University, Boca Raton, FL 33431, USA

ABSTRACT

This paper investigates the development and performance of a new higher-order geometric stiffness matrix that more closely approximates the theoretically derived stiffness coefficients. Factors that influence the accuracy of the solution are studied using two columns, two braced frames, and one unbraced frame. Discussion is provided when the new geometric stiffness matrix can be used to improve the buckling load analysis results and when it may provide only nominal additional benefit.

KEYWORDS

Geometric stiffness matrix, buckling load, stability functions, structural frame.

Cite this paper

Journal of Civil Engineering and Architecture 19 (2025) 22-26

doi: 10.17265/1934-7359/2025.01.003

References

[1]   Ziemian, C. W., and Ziemian, R. D. 2021. “Efficient Geometric Nonlinear Elastic Analysis for Design of Steel Structures: Benchmark Studies.” Journal of Constructional Steel Research 186: 106870.

[2]   Galambos, T. V., and Surovek, A. E. 2008. Structural Stability of Steel: Concepts and Applications for Structural Engineers. New York: Wiley.

[3]   McGuire, W., Gallagher, R. H., and Ziemian, R. D. 2000. Matrix Structural Analysis (2nd ed.). New York: Wiley.

[4]   Ziemian, R. D., and McGuire, W. 2014. “MASTAN2 (Version 3.5).” https://mastan2.com/.

[5]   Ekhande, S. G., Selvappalam, M., and Madugula, M. K. S. 1989. “Stability Functions for Three-Dimensional Beam-Columns.” Journal of Structural Engineering 115 (2): 467-79.

[6]   Yang, Y. B., and McGuire, W. 1986. “Stiffness Matrix for Geometric Nonlinear Analysis.” Journal of Structural Engineering 112 (4): 853-77.

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