Abstract
A genetic-algorithm-based optimum design method is presented for non-linear steel frames with semi-rigid connections and column bases. The design algorithm obtains the minimum total cost, which comprises total member plus connection costs, by selecting suitable sections from a standard set of steel sections such as American Institute of Steel Construction (AISC) wide-flange (W) shapes. A genetic algorithm is employed as the optimization method, which utilizes reproduction, crossover and mutation operators. Displacement and stress constraints of AISC Allowable Stress Design (ASD) specification and size constraints for beams and columns are imposed on the frame. The algorithm requires a large number of non-linear analyses of frames. The analyses cover both the non-linear behavior of beam-to-column connection and P-Δ effects of beam-column members. The Frye and Morris polynomial model is used for modeling semi-rigid connections. Two design examples with various types of connections are presented to demonstrate the application of the algorithm. The semi-rigid connection and column base modeling results in more economical solutions than rigid connection modeling, but increases the sway of frames.
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References
Abdalla, K.M.; Chen, W.F. 1995: Expanded database of semi-rigid steel connections. Comput. Struct. 56, 553–564
Almusallam, T.H. 1995: Effect of connection flexibility on the optimum design of steel frames. In: Topping, B.H.V. (ed.) Proc. Intern. Conf. on Developments in Computational Techniques for Civil Engineering (held in Edinburgh) pp. 129–135. Edinburgh: Civil-Comp. Press
AISC, American Institute of Steel Construction 1989: Manual of steel construction-Allowable stress design. Chicago
BS5950, British standards 1990: Structural use of steelworks in building, British Standard Institution. London
Dhillon, B.S.; O’Malley, J.W. 1999: Interactive design of semirigid steel frames. J. Struct. Eng., ASCE 125, 556–564
Eurocode 3 1992: Design of steel structures part I: General rules and rules for buildings. Committee European de Normalisation (CEN): Brussels
Frye, M.J.; Morris, G.A. 1975: Analysis of flexibly connected steel frames. Can. J. Civ. Eng 2, 280–291
Goldberg, D.E. 1989: Genetic algorithms in search, optimization and machine learning. Reading: Addison-Wesley
Goto, Y.; Miyashita, S. 1998: Classification system for rigid and semirigid connection. J. Struct. Eng., ASCE 124, 750–757
Hensmann, J.S.; Nethercot, D.A. 2001: Numerical study of unbraced composite frames: generation of data to validate use of the wind moment method of design. J. Construct. Steel Res. 57, 791–809
Kameshki, E.S.; Saka, M.P. 2001: Optimum design of nonlinear steel frames with semi-rigid connections using a genetic algorithm. Comput. Struct. 79, 1593–1604
Kim, Y.; Chen, W.F. 1998: Practical analysis for partially restrained frame design. J. Struct. Eng., ASCE 124, 736–749
Kishi, N.; Chen, W.F.; Goto, Y. 1997: Effective length factor of columns in semirigid and unbraced frames. J. Struct. Eng., ASCE 123, 313–320
Rajeev, S.; Krishnamoorthy, C.S. 1992: Discrete optimization of structures using genetic algorithms. J. Struct. Eng., ASCE 118, 1233–1250
Simoes, L.M.C. 1996: Optimization of frames with semi-rigid connections. Comput. Struct. 60, 531–539
Syswerda, G. 1989: Uniform crossover in genetic algorithms. In: Schaffer, J.(ed.) Proc. 3-rd Int. Conf. on Genetic Algorithms (held in Los Altos, CA) pp. 2–9. San Francisco: Morgan Kaufmann Publishers
Xu, L.; Grierson, D.E. 1993: Computer automated design of semi-rigid steel frameworks. J. Struct. Eng., ASCE 119, 1740–1760
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Hayalioglu, M., Degertekin , S. Design of non-linear steel frames for stress and displacement constraints with semi-rigid connections via genetic optimization. Struct Multidisc Optim 27, 259–271 (2004). https://doi.org/10.1007/s00158-003-0357-9
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DOI: https://doi.org/10.1007/s00158-003-0357-9