Advanced Steel Construction

Vol. 8, No. 4, pp. 383-397 (2012)



A. Machowski 1 and I. Tylek 2, *

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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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.



Barrel vault, Cable, Anti-symmetrical load, Static analysis, Modal analysisMultistory steel frame, Random equivalent geometrical imperfection, Eurocode 3


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