Evaluating System Buckling Load of a Plane Non-sway Frame by Hand

Authors

  • Kuinian Li School of Civil and Environmental Engineering University of the Witwatersrand, Johannesburg, Wits 2050, SA

DOI:

https://doi.org/10.14738/aivp.106.13487

Keywords:

Plane frame; Non-sway; System-buckling load; upper-bound; Evaluation

Abstract

Presented in this paper is a simple method for system buckling analysis of plane non-sway frames. The “bracing” of a non-sway frame is first released and becomes a sway frame named accompanying sway frame. The upper-bound of the system buckling load of the accompanying sway frame can be found by a story buckling method developed. From the comparison study of a single sway column and a non-sway column, a modification factor can be obtained. The upper-bound of the system buckling load of the non-sway frame can be determined by the upper-bound of the system buckling load of its accompanying sway frame, multiplied with this modification factor. The upper-bound of system buckling load is the buckling load when the rigidity of the beams connected to the columns can be considered infinite. The system buckling load can be evaluated from the upper-bound, modified by real parameters of the frame with the design graphs developed. Examples are presented and the procedures are demonstrated. The system buckling load produced by the suggested approach is compared with that produced by system buckling analysis with FEA. The accuracy, efficiency and simplicity of the suggested system buckling approach are demonstrated.

References

References

ACI 318-89(1989), Building Code Requirements for Reinforced Concrete with Design Applications, Portland Cement Association, Skokie, Illinois, USA

AISC(1988), Specification for Structural Steel Buildings, American Institute of Steel Construction, Chicago, Illinois, USA.

AS4100(2001), Australian Standard AS4100-Steel Structures, Sydney, Australia

Choi, D. H. and Yoo, H.(2009), “Iterative system buckling analysis, considering a

fictitious axial force to determine effective length factors for multi-story frames”,

Engineering Structures, 31: 560-570

Eurocode 3(1992), Design of Steel Structures, CEN, Brussels, Belgium.

Girgin K. and Ozmen G. (2008), “Effective length of columns in braced multi-story frames” Teknik Dergi , 19(1):4333-4346

Geschwindner, L.F. (2002), “A practical look at frame analysis, stability and leaning columns”, Engineering Journal, AISC, 4th Quarter, pp. 167-181

Kaveh A. and Salimbahrami B. (2007), “Buckling Load of Symmetric Plane frames

Using Canonical Forms”, Computer and Structures 85:1420-1430

Li, K. (2014), “A story buckling method for evaluating system buckling load of plane

sway frames”, International Journal of Steel Structures, 14(1): 173-183

Liew, J. Y. R., White, D. W. and Chen, W. F. (1991), “Beam-column design in steel frame

works --insight on current methods and trends”, Journal of Construct. Steel Research

: 269-308

Liu, E.M. (1992), “A novel approach of K factor determination”, AISC, Engineering

Journal, 4th Quarter, pp. 15-159

Shanmugam N. E. and Chen W. F. (1995), “An assessment of K factor formulas”, AISC,

(1):3-11

Xu, L. and Wang X. H. (2008), “Story-Based Column Effective Length Factors With

Accounting for Initial Geometric Imperfections”, Engineering Structures, 30: 3433-

Zhang, H. and Rasmussen K. J. R. (2013), “System-based design for steel scaffolding structures using advanced analysis”, Journal of Construct. Steel Research 89:1-8

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Published

2022-12-02

How to Cite

Li, K. (2022). Evaluating System Buckling Load of a Plane Non-sway Frame by Hand. European Journal of Applied Sciences, 10(6), 288–319. https://doi.org/10.14738/aivp.106.13487