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A mathematical model for assessment of material requirements for cable supported bridges: implications for conceptual design
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Lewis, W. J. (Wanda J.). (2012) A mathematical model for assessment of material requirements for cable supported bridges: implications for conceptual design. Engineering Structures, Vol.42 . pp. 266-277. ISSN 1873-7323
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WRAP_Lewis_0873262-es-070212-wlewis_bridge_paper_wrap.pdf - Submitted Version Download (1267Kb) |
Official URL: http://dx.doi.org/10.1016/j.engstruct.2012.04.018
Abstract
Recent technological developments have led to improvements in the strengths of materials, such as the steel and wire ropes used in the construction of cable supported bridges. This, combined with technological advancements in construction, has encouraged the design of structures with increasing spans, leaving the question of material and environmental costs behind. This paper presents a refined mathematical model for the assessment of relative material costs of the supporting structures for cable-stayed and cable suspension bridges. The proposed model is more accurate than the ones published to date in that it includes the self weight of the cables and the pylons. Comparisons of material requirements for each type of bridge are carried out across a range of span/dip ratios. The basis of comparison is the assumption that each structure is made of the same material (steel) and carries an identical design load, q, exerted by the deck. Calculations are confined to a centre span of a three-span bridge, with the size of the span ranging from 500 m to 3000 m. Results show that the optimum span/dip ratio, which minimises material usage, is 3 for a cable-stayed (harp type) bridge, and 5 for a suspension structure. The inclusion of the self weight of cable in the analysis imposes limits on either the span, or span/dip ratio. This effect is quantified and discussed with reference to the longest cable-supported bridges in the world completed to date and planned in the future.
| Item Type: | Journal Article |
|---|---|
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | Faculty of Science > Engineering |
| Library of Congress Subject Headings (LCSH): | Cable-stayed bridges -- Mathematical models, Cable-stayed bridges -- Economic aspects, Costs, Industrial |
| Journal or Publication Title: | Engineering Structures |
| Publisher: | Elsevier BV |
| ISSN: | 1873-7323 |
| Date: | September 2012 |
| Volume: | Vol.42 |
| Page Range: | pp. 266-277 |
| Identification Number: | 10.1016/j.engstruct.2012.04.018 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| References: | 1. French, M, Conceptual Design for Engineers, Springer, 3rd Ed, 1999, pp.58-59. 2. N. S, Gimsing, "Cable Supported Bridges". John Wiley & Sons, 1998. 3. W. Podolny and J.B. Scalzi, "Construction and Design of Cable-Stayed Bridges". John Wiley & Sons, 1976, pp. 60-61. 4. F. Leonhardt and W. Zellner, "Vergleiche zwichen Hängebrücken und Schrägkabel-brücken für Spannweiten über 600 m. International Association for Bridge and Structural Engineering, vol. 32, 1972. 5. M.F. Parsons, "Engineering Structures. Developments in the Twentieth Century: a Collection of Essays to Mark the Eightieth Birthday of Sir Alfred Pugsley", edited by Bulson, P.S.< Cadwell, J.B. and Severn, R.T.. Chapter 4 - Suspension Bridges. University of Bristol Press, 1983. 6. J. G. A. Croll, "Structural Efficiency of Cable-stayed and Catenary Suspension Bridges". The Structural Engineer, Vol. 75, No. 10, 1997, pp. 173-175. 7. H.C. Dalton, M.J. French and J. G. A. Croll, "Thoughts on the Structural Efficiency of Cable-Stayed and Catenary Suspension Bridges". The Structural Engineer, Correspondence, Vol. 75, No. 19, 1997, pp. 345-347. 8. Flint & Neill Partnership/Ammann&Whitney, “Audit of the main Cable Inspection and Assessment: Final Report” APPENDIX C. Scottish Government publications. http://www.scotland.gov.uk/Publications/2006/03/03154220/19. 9. Ge Yao-Jun and Xiang Hai-Fan, “ Aerodynamic Challenges in Long-span Bridges, Proc. IStructE Centenary Conference, Hong Kong, 2008. The Institution of Structural Engineers, 2008, pp. 120-143. 10. http://en.wikipedia.org/wiki/list_of_longest_suspension_bridge_spans. 11. http://en.wikipedia.org/wiki/list_of_largest_cable- stayed_bridges. 12. http://en.wikipedia.org/wiki/Strait_of_Messina_Bridge. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/41918 |
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