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Optimal design of steel frames subject to gravity and seismic codes' prescribed lateral forces

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Abstract

Allowable stress design of two-dimensional braced and unbraced steel frames based on AISC specifications subject to gravity and seismic lateral forces is formulated as a structural optimization problem. The nonlinear constrained minimization algorithm employed is the feasible directions method. The objective function is the weight of the structure, and behaviour constraints include combined bending and axial stress, shear stress, buckling, slenderness, and drift. Cross-sectional areas are used as design variables. The anylsis is performed using stiffness formulation of the finite element analysis method. Equivalent static force and response spectrum analysis methods of seismic codes are considered. Based on the suggested methodology, the computer program OPTEQ has been developed. Examples are presented to illustrate the capability of the optimal design approach in comparative study of various types of frames subjected to gravity loads and seismic forces according to a typical code.

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Authors and Affiliations

  1. Department of Architectural Engineering, College of Engineering, The Pennsylvania State University, 104 Engineering A Building, 16802, University Park, PA, USA

    A. M. Memari

  2. Department of Civil Engineering, University of Artois, Bethune, France

    M. Madhkhan

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  1. A. M. Memari
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  2. M. Madhkhan
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Communicated by J. Sobieski

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Memari, A.M., Madhkhan, M. Optimal design of steel frames subject to gravity and seismic codes' prescribed lateral forces. Structural Optimization 18, 56–66 (1999). https://doi.org/10.1007/BF01210692

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  • DOI: https://doi.org/10.1007/BF01210692

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