Optimum Design of Welded Steel Columns
Publication: Journal of Structural Engineering
Volume 109, Issue 11
Abstract
A method for the discrete minimum weight design of welded steel columns is developed. The design problem is formulated as a discrete nonlinear programming problem. The problem is solved using an interior penalty function method combined with a variable metric discrete search technique. Starting with an initial feasible solution, the first unconstrained problem is solved by searching along the direction of the integer gradient of the modified objective function. For the next unconstrained problems the direction of search is modified by the inverse of the Hessian matrix of the objective function. This way the slow convergence of the gradient method near the optimum is avoided. An example is given to show the efficiency and rapid convergence of the method. The results obtained show that more efficient use of materials can be achieved by using welded steel sections. The method presented can also be used to find the minimum cost design of welded steel sections if the cost factors are known.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Annamalai, N., “Cost Optimization of Welded Plate Girders,” Journal of the Structural Division, ASCE, Vol. 98, No. ST10, Proc. Paper 9258, Oct., 1972, pp. 2235–2246.
2.
Aoki, M., Introduction to Optimization Techniques, The MacMillan Company, New York, N.Y., 1971.
3.
Cella, A., “Properties of Discrete Optima in Structural Optimization,” Journal of the Structural Division, ASCE, Vol. 98, No. ST3, Mar., 1972, pp. 787–792.
4.
Cella, A., and Logcher, R. D., “Automated Optimum Design from Discrete Components,” Journal of the Structural Division, ASCE, Vol. 97, No. ST1, Proc. Paper 7845, Jan., 1971, pp. 175–190.
5.
Gallagher, R. H., and Zienkiewicz, O. C., eds., Optimum Structural Design, John Wiley & Sons, New York, N.Y., 1973.
6.
Goble, G. G., and DeSantis, P. V., “Optimum Design of Mixed Steel Composite Girders,” Journal of the Structural Division, ASCE, Vol. 92, No. ST6, Proc. Paper 5001, Dec., 1966, pp. 25–43.
7.
Goble, G. G., and Moses, F., “Practical Applications of Structural Optimization,” Journal of the Structural Division, ASCE, Vol. 101, No. ST4, Proc. Paper 11267, Apr., 1975, pp. 635–648.
8.
Hadley, G., Nonlinear and Dynamic Programming, Addison‐Wesley Publishing Company, New York, N.Y., 1964.
9.
Lai, Y., and Achenbach, J. D., “Direct Search Optimization Method,” Journal of the Structural Division, ASCE, Vol. 99, No. ST1, Proc. Paper 9470, Jan., 1973, pp. 19–31.
10.
Liebman, J. S., “Discrete Structural Optimization,” Journal of the Structural Division, ASCE, Vol. 107, No. ST11, Proc. Paper 16643, Nov., 1981, pp. 2177–2197.
11.
Manual of Steel Construction, American Institute of Steel Construction, 1970.
12.
Razani, R., and Goble, G. G., “Optimum Design of Constant Depth Plate Girders,” Journal of the Structural Division, ASCE, Vol. 92, No. ST2, Proc. Paper 4787, Apr., 1966, pp. 253–281.
Information & Authors
Information
Published In
Copyright
Copyright © 1983 ASCE.
History
Published online: Nov 1, 1983
Published in print: Nov 1983
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.