Advanced Steel Construction

Vol. 3, No. 1, pp. 485-511 (2007)



Yanglin Gong

Department of Civil Engineering, Lakehead University, Thunder Bay, Ontario, Canada, P7B 5E1

Tel.: +1-807-343-8412; fax: +1-807-343-8928.

(Corresponding author: E-mail :This email address is being protected from spambots. You need JavaScript enabled to view it.)

Received: 3 May 2005; Revised: 26 May 2006; Accepted: 5 June 2006




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The paper presents a design optimization method for steel moment frames under extreme earthquake loading. Seismic responses of the structures are evaluated using a nonlinear pushover analysis procedure. Minimum structural cost and uniform heightwise ductility demand are identified as the design objectives. Roof and interstory drifts are taken as design constraints. Strong-column weak-beam requirement is treated as additional constraints for special moment frames. The sensitivities of inelastic displacements are employed to explicitly formulate the objective functions and constraints in terms of member sizing variables. A dual method is then used to search for an optimal design solution. The proposed design methodology is illustrated for a nine-story moment frame example.



structural optimization; seismic design; steel moment frames; pushover analysis; ductility; design sensitivity analysis


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