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Inclusion of P –Δ effect in displacement‐based seismic design of steel moment resisting frames
Author(s) -
Asimakopoulos Aristidis V.,
Karabalis Dimitris L.,
Beskos Dimitri E.
Publication year - 2007
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.723
Subject(s) - structural engineering , displacement (psychology) , stiffness , moment (physics) , seismic analysis , ductility (earth science) , parametric statistics , stability (learning theory) , yield (engineering) , function (biology) , basis (linear algebra) , engineering , mathematics , materials science , geometry , computer science , physics , classical mechanics , statistics , psychology , creep , machine learning , evolutionary biology , metallurgy , composite material , psychotherapist , biology
A procedure for treating the P –Δ effect in the direct displacement‐based seismic design of regular steel moment resisting frames with ideal elastoplastic material behaviour is proposed. A simple formula for the yield displacement amplification factor as a function of ductility and the stability coefficient is derived on the basis of the seismic response of an inelastic single degree‐of‐freedom system taking into account the P –Δ effect. Extensive parametric seismic inelastic analyses of plane moment resisting steel frames result in a simple formula for the dynamic stability coefficient as a function of the number of stories of a frame and the column to beam stiffness ratio. Thus, the P –Δ effect can be easily taken into account in a direct displacement‐based seismic design through the stability coefficient and the yield displacement amplification factor. A simple design example serves to illustrate the application of the proposed method and demonstrate its merits. Copyright © 2007 John Wiley & Sons, Ltd.