Abstract
The aim of this paper is to demonstrate how the traditional design process can be imitated mathematically to arrive at designs of reinforced concrete structures which conform to the requirement of the new Australian Standard AS3600-1988 and are the least expensive to construct. The total cost includes the costs of concrete, reinforcing steel and formwork. The minimum cost problem is formulated as a non-linear programming problem whose solution is attempted by two techniques. Several numerical examples of multi-span beams and of columns are given using a computer package developed in standard FORTRAN 77. The sensitivity of the minimum cost designs to variations in the relative cost of formwork is also studied.
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References
Fleury, C.; Braibant, V. 1986: Structural optimization: A new dual method using mixed variables.Int. J. Num. Meth. Eng. 23, 409–428
Kanagasundaram, S.; Karihaloo, B.L. 1988: Optimum design of frames under multiple loads.Research Report R568, School of Civil & Mining Engineering, University of Sydney, p. 112. Also to appear inComp. Struct. 1990
Karihaloo, B.L.; Kanagasundaram, S. 1988: Comparative study of NLP techniques in optimum structural frame design. In: Rozvany, G.I.N.; Karihaloo, B.L. (eds.)Structural optimization, pp. 143–150. Dordrecht: Kluwer
Karihaloo, B.L.; Kanagasundaram, S. 1989: Minimum-weight design of structural frames.Comp. Struct. 31, 60–74
Pedersen, P. 1981: The integrated approach to FEM-SLP for solving problems of optimal design. In: Haug, E.J.; Cea, J. (eds.)Optimization of distributed parameter systems. Vol. 1, pp. 739–756. Amsterdam: Sijthoff and Noordhoff
Standards Association of Australia.AS3600 1988: Concrete structures. Sydney: SAA
Vanderplaats, G.N.; Sugimoto, H. 1986: A general-purpose optimization program for engineering design.Comp. Struct. 24, 13–21
Warner, R.F.; Rangan, B.V.; Hall, A.S. 1988:Reinforced Concrete. Longman Australia
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Kanagasundaram, S., Karihaloo, B.L. Minimum cost design of reinforced concrete structures. Structural Optimization 2, 173–184 (1990). https://doi.org/10.1007/BF01836566
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DOI: https://doi.org/10.1007/BF01836566