Abstract
With the intension of developing a simple method for system buckling analysis for engineering practice, a story buckling method for evaluating the system buckling load of a plane rigid frame is suggested. The method is developed based on the idea that at lower modes a plane sway frame buckles in story and story stiffness is getting to zero as the system getting close to the corresponding mode of buckling at that story. The stiffness of any story of a plane sway frame can be found with the stiffness without loading and then modified by a negative stiffness which represents the effect of vertical loads on the horizontal stiffness. P-Δ effect is first considered independently by letting the modified stiffness equal to zero and the system buckling load by first order analysis is obtained. To take P-δ effect into account, the buckling load from the first order analysis is modified with a modification factor and an estimation of buckling load of the whole system is obtained. Application examples are presented and the results are compared with those from FEA of the whole system. The simplicity and accuracy of the suggested method are demonstrated. The restraints of the method for application are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
AISC (2007). Steel construction manual. 13 th ed., AISC.
Alami, F. (2004). “Experimental and numerical study of prediction of linear buckling load from frequency measurement.” SIGMA, 7(1), pp. 1–8.
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, pp. 560–570.
Jubb, J. E. M. and Philips, I. G. (1975). “Interrelation of structural stability, stiffness, residual stress and natural frequency.” Journal of Sound and Vibration, 39(1), pp. 121–134.
Kaveh, A. and Salimbahrami, B. (2007). “Buckling load of symmetric plane frames using canonical forms.” Computer and Structures, 85, pp. 1420–1430.
LeMessurir, W. J. (1977). “A practical method of second order analysis. Part 2: Rigid frames.” Engineering Journal, 2nd Qtr., pp. 49–67.
Liew, R. J. Y., White, D. W., and Chen, W. F. (1991). “Beam-column design in steel frameworks-Insights of current methods and trends.” Journal of Construct. Steel Research, 18, pp. 269–308.
Shanmugam, N. E. and Chen, W. F. (1995). “An assessment of K factor formulas.” Structural Engineering, 32(1), pp. 3–11.
Xu, L. and Wang, X. H. (2008). “Story-based column effective length factors with accounting for initial geometric imperfections.” Engineering Structures, 30, pp. 3433–3444.
Author information
Authors and Affiliations
Corresponding author
Additional information
Note.-Discussion open until August 1, 2014. This manuscript for this paper was submitted for review and possible publication on July 23, 2012; approved on January 24, 2014.
Rights and permissions
About this article
Cite this article
Li, K. A story buckling method for evaluating system buckling load of plane sway frames. Int J Steel Struct 14, 173–183 (2014). https://doi.org/10.1007/s13296-014-1015-3
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13296-014-1015-3