Abstract
This paper presents an application of generalized geometric programming to the optimal design of a prestressed concrete pedestrian bridge deck. The actual cost of construction consisting of prestressing, formwork and concreting is minimized. Constraints are formulated as stipulated by the British Code of Practice CP 110, related to bending and shear stresses and minimum concrete cover. A sample optimal design is included in the paper. The method presented can be applied to other engineering design problems by appropriately modifying the problem formulation.
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References
G.S. Beveridge and R.S. Schecter, “Optimization Theory and Practice”, McGraw—Hill, N.Y. (1970).
D.J. Wilde adn C.S. Beightler, “Foundation of Optimization”, Prentice—Hall, Englewood Cliffs, N.J. (1967).
D.T. Phillips, A. Ravindran and J. Solberg, “Operations Research Principles and Practice”, pp. 552–561, Wiley, N.Y.
A.B. Templeman, “Geometric Programming with Examples of the Optimum Design of Floor and Roof Systems”, International Symposium on Computer Aided Structural Design, University of Warwick, July (1972).
S. Ramamurthy, “Structural Optimization using Geometric Programming”, pp. 63–96, Ph.D. thesis, Cornell University, (1977).
N.C. Das Gupta, H. Paul and C.H. Yu, “An Application of Geometric Programming to Structural Design”, Computers and Structures, Vol. 22, No. 6, pp. 965–971, 1986.
British Standard Institution, “Code of Practice for the Structural Use of Concrete, CP 110”, February 1976.
R.S. Dembo, “GCP — A Computer Programme for the Solution of Generalized Geometric Programming Problems”, User’s Manual, Department of Chemical Engineering, Haifa, 1972.
A.B. Templeman, A.J. Wilson and S K Winterbottom“, SIGNOPT — A Computer Code for the Solution of Signomial Programming Problems”, Department of Civil Engineering, University of Liverpool, 1972.
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© 1987 Springer-Verlag Berlin, Heidelberg
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Das Gupta, N.C., Paul, H., Yu, C.H. (1987). Optimal Bridge Design by Geometric Programming. In: Thoft-Christensen, P. (eds) Reliability and Optimization of Structural Systems. Lecture Notes in Engineering, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83279-6_15
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DOI: https://doi.org/10.1007/978-3-642-83279-6_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18570-3
Online ISBN: 978-3-642-83279-6
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