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Abstract
Design of steel frames with non-uniform cross-section members is always a complex problem. In this study, an algorithm is presented for the optimum design of steel frames with tapered built-up I sections based on simulated annealing (SA) method. Flexural and axial constraints of the AISC 2005 code (Allowable Stress Design- ASD) are applied. The strength constraints take into account the lateral-torsional buckling resistance of frame segments between the adjacent lateral restraints. Each frame member consists of one or more segments; each segment has a linearly varying depth, while the flange width is constant for each segment, it may vary from segment to segment each segment. The depth at the start and end of each segment, top and bottom flange thickness and, flange width are all design variables used in the formulation of the design problem