Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Optimum design of parabolic steel box arches

  • Azad, Abul K. (Department of Civil Engineering, King Fahd University of Petroleum & Minerals) ;
  • Mohdaly, Hani M.M. (Department of Civil Engineering, King Fahd University of Petroleum & Minerals)
  • Published : 2000.02.25
⟨ Previous Next ⟩

Abstract

An optimization procedure has been prescribed for the minimum weight design of symmetrical parabolic arches subjected to arbitrary loading. The cross section is assumed to be a symmetrical box section with variable depth and flange areas. The webs are unstiffened and have constant thickness. The proposed sequential, iterative search technique determines the optimum geometrical configuration of the parabolic arch which includes the optimum depth profile and the optimum lengths and areas of the required flange plates corresponding to the prescribed number of curtailments. The study shows that the optimum value of rise to span ratio (h/L) of a parabolic arch is maximum at 0.41 for uniformly distributed loading over the entire span. For any other loading, the optimum value of h/L is less than 0.41.

Keywords

References

  1. Ang, B., Teo, K. and Wang, C. (1988), "Optimal shape of arches under bending and axial compression", J. Eng. Mech., ASCE, 114(5), May, 898-905. https://doi.org/10.1061/(ASCE)0733-9399(1988)114:5(898)
  2. Azad, A.K. (1978), "Economic design of homogeneous I-beams", J. Struct. Div., ASCE, 104, 637-648.
  3. Budiansky, B., Franenthal, J.C. and Hutchison, J.W. (1969), "On optimal arches", J. Appl. Mech., Am. Soc. of Mech. Engrs., 880-882.
  4. Ermopoulos, I. and Ioannidis, S. (1985), "Optimum rise design of steel arch bridges", J. Constr. Steel Res., 5, 303- 310. https://doi.org/10.1016/0143-974X(85)90025-2
  5. Farshad, M. (1976), "On optimal form of arches", J. Franklin Inst., 187-194.
  6. Gallagher, R.H. and Zienkiewicz, O.C. (1973), Optimum Structural Design, John Wiley & Sons, London.
  7. Hill, R.D., Rozvany, G., Wang, C.M. and Hwa, L.K. (1979), "Optimization, spanning capacity and cost sensitivity of fully stressed arches", J. Struct. Mech., 7, 375-411. https://doi.org/10.1080/03601217908905326
  8. Kirsch, U. (1981), Optimum Structural Design, McGraw Hill, New York.
  9. Lipson, S. and Haque, M. (1980), "Optimal design of arch using complex method", J. Struct. Div., ASCE, 106, Dec., 2509-2524.
  10. Manual of Steel Construction - Allowable Stress Design (1989), Am. Inst. of Steel Constr., Chicago, 9th Edn.
  11. Mohdaly, H.M.M. (1997), "Optimization of parabolic steel box arches", M.S. Thesis, Dept. of Civil Eng., King Fahd Univ. of Petroleum and Minerals, Dhahran, Jan.
  12. Prager, W. and Rozvany, G. (1979), "A new class of structural optimization problems: Optimal archgrids", Comp. Methods in Appl. Mech. and Eng., 19(1), 127-150. https://doi.org/10.1016/0045-7825(79)90038-0
  13. Rozvany, G., Wang, C. M. and Dow, M. (1980), "Arch optimization using Prager-Shield criteria", J. Eng. Mech. Div., ASCE, 106(12), Dec., 1279-1286.
  14. Rozvany, G. and Karihaloo, B. (1988), Structural Optimization, KLUNER Academic Publishers, Netherlands.
  15. Taha, H.A. (1976), Operations Research: An Introduction, Macmillan Publishing Co. Inc., New York.
  16. Yao, T. and Choi, K. (1989), "Shape optimal design of an arch dam", J. Struct. Eng., ASCE, 115(9), 375-411.
  17. Zhu, B., Rao, B., Jia, J. and Li, Y. (1992), "Shape optimization of arch dams for static and dynamic loads", J. Struct. Eng., ASCE, 118, Nov., 2996-3915. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:11(2996)