Vol. 8, No. 4, pp. 383-397 (2012)
RANDOM EQUIVALENT INITIAL BOW AND TILT IN STEEL FRAME
A. Machowski 1 and I. Tylek 2, *
1 Assoc. Prof. D. Sc. Ph. D., Faculty of Civil Engineering,
Cracow University of Technology, ul. Warszawska 24, 31-155 Cracow, Poland,
2 Assist. Prof. Ph. D., Faculty of Civil Engineering,
Cracow University of Technology, ul. Warszawska 24, 31-155 Cracow, Poland
*(Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)
Received: 3 September 2011; Revised: 26 September 2011; Accepted: 30 September 2011
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ABSTRACT
Probabilistic models of equivalent geometrical imperfections suitable to analysis of steel buildings frames are under consideration. Statistically based models of equivalent imperfections, besides of application in structural reliability analysis, should be taken as basis of verification of equivalent imperfection formulas and rules of introducing imperfections into frame calculations proposed in different Standards. Column random equivalent initial bow was obtained in this paper utilizing randomization of buckling coefficient in well-known deterministic formula of equivalent initial bow. Problem of random equivalent initial tilt of frame was considered for spatial mechanical model of skeletal structure, braced by rigid floor disks, using results of existing buildings geodesic measurements statistical analysis. In the paper assessment of random initial tilts and initial bows joint effect is commented.
KEYWORDS
Multistory steel frame, Random equivalent geometrical imperfection, Eurocode 3
REFERENCES
[1] Chen, W.F. and Toma, S., “Advanced Analysis of Steel Frames”, London-Tokyo: CRC Press, 1994.
[2] Narayanan, R. ed, “Steel Framed Structures, Stability and Strength”, Elsevier Science, 1985.
[3] Machowski, A., “Problems of Limit States and Reliability of Steel Multistory Building Frames”, Monograph No. 262, Cracow University of Technology, 1999 [in Polish].
[4] Fukumoto, Y. and Itoh, Y., “Multiple Buckling Curves Based on Experimental Data”, Construction Metállique, 1984, Vol. 3 [in French].
[5] CEN “EN 1993-1-1. Eurocode 3, Design of Steel Structures, Part 1.1: General Rules and Rules for Buildings”.
[6] PKNMiJ, “PN-90/B-03200, Steel Structures, Design Rules” [in Polish].
[7] Allen, D., “Merchant-Rankine Approach to Member Stability”, Journal of the Structural Division, 1978, 104 (ST.12), pp. 1909-1914.
[8] Rondal, J. and Maquoi, R., “The Ayrton-Perry Formulation for Buckling of Metallic Bars”, Construction Metállique, 1979, 4, pp. 41-53 [in French].
[9] Murzewski, J., “Design of Steel Structures for Differentiated Reliability Levels”, Archives of Civil Engineering, 2008, LIV(1), pp. 209-237.
[10] ECCS, “European Specifications for Steel Structures”, 1-st ed; 1974.
[11] Papoulis, A., “Probability, Random Variables and Stochastic Processes”, McGraw-Hill Inc, 1965.
[12] Machowski, A., “Initial Random Out-of-plumbs of Steel Frame Columns”, Archives of Civil Engineering, 2002, XLVIII(2), pp. 207-226.
[13] Beaulieu, D. and Adams, P.F., “The Results of a Survey on Structural Out-of-plumbs”, Canadian Journal of Civil Engineering, 1978, Vol. 5, pp. 642-470.
[14] Lindner, J. and Gietzelt, R., “Evaluation of Imperfections of Support – Elements”, Stahlbau, 1984, Vol. 4, pp. 97-98 [in German].
[15] Machowski, A. and Tylek, I., “Conceptions of Equivalent Imperfections in Analysis of Steel Frames”, The International Journal of Advanced Steel Construction, 2008, Vol. 4, No. 1, pp. 13-25.
[16] Tylek, I., “Equivalent Geometrical Imperfections of Multistory Steel Building Frames”, Doctoral Thesis, Cracow University of Technology, 2007 [in Polish].
[17] De Luca A. and Mele, E., “Analysis of Steel Frames in the Light of Eurocode 3 and New Research Results”, In: White, D.W. and Chen, W.F. ed., “Plastic Hinge Based Methods for Advanced Analysis and Design of Steel Frames”, SSRC, Lehigh Univ., 1993, pp. 97-152.