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CivilComp Proceedings
ISSN 17593433 CCP: 83
PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 152
A Study of the Modified Advanced First Order Second Moment Method for BeamtoColumn Connections S.M. Shin^{1}, D.K. Lee^{2} and S.S. Park^{3}
^{1}Institute of Structural Design,
S.M. Shin, D.K. Lee, S.S. Park, "A Study of the Modified Advanced First Order Second Moment Method for BeamtoColumn Connections", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Eighth International Conference on Computational Structures Technology", CivilComp Press, Stirlingshire, UK, Paper 152, 2006. doi:10.4203/ccp.83.152
Keywords: semirigid joint, reliability, advanced first order second moment method, Monte Carlo simulation, probability of failure, reliability index.
Summary
One of the possibilities of improving the accuracy of structural analysis is to evaluate the
actual behaviour of joints. For these purposes the semirigid joint concept was
introduced. The most relevant influence on the rigidity of the joint is produced by
bending moments. In this case the behaviour of a semirigid joint is described by the
momentrotation
curve of the joint. The joints are also influenced by axial
and shear forces. These forces are not usually evaluated in calculating the rigidity
and strength of the joints [1].
For typical structural systems, a failure state is defined as the formation of an unstable collapse state under some applied loads. The objective of this study is to propose the reliability analysis which can evaluate the probability of failure and the reliability index of steel frames with connections. In addition, the equation which represents the limit state of steel frames is investigated. In this study, the momentrotation relationship of connections is formulated by the power model that has three parameters such as the initial stiffness, the ultimate moment capacity and the shape coefficient of the connection. In order to calculate the probability of failure and reliability index of steel connections, an advanced first order second moment method and the MonteCarlo method using an inverse transformation method are adopted. A strength limit state equation is presented for the reliability analysis of steel beams. For the purpose of reliability analysis, the advanced first order second moment (AFOSM) method is used here. The AFOSM method is one of Level II methods [2]. It makes the limit state equation become a first or second order function. And then by using a probability density function it can calculate the reliability index concerned with probability of failure. This proposed method is enough to include all types of connections. To investigate the effect of the reliability index of three parameters according to each connection type, one parameter changes a random variable and two parameters are fixed. There random variables are systematically selected for three parameter , , , then a coefficient of variation is changed to 4%, 6%, 8%, 10%. In order to verify the proposed method, the reliability analysis, the errors of probability of failure using Monte Carlo method and the AFOSM are calculated. References
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