Arabian Journal for Science and Engineering

, Volume 44, Issue 5, pp 4151–4160 | Cite as

Development of Improved Frequency Expressions for Composite Horizontally Curved Bridges with High-Performance Steel Girders

  • Iman Mohseni
  • Yonghan Ahn
  • Junsuk KangEmail author
Open Access
Research Article - Civil Engineering


Composite curved I-girder bridges are often used in modern highway systems, but the open sections of I-girders mean that these structures suffer from low torsional resistance. The curvature also results in quite complex behaviors due to the coupled bending and torsional responses of curved I-girder bridges. High-performance steel, which adds strength, enhances durability and improves weldability, addresses both the economic and structural problems associated with curved bridges. However, as yet, there are no simplified design methods in the form of practical equations with which to optimize the design parameters of curved bridges and their dynamic behavior remains controversial. This study evaluated the effects of various design parameters on the free vibration responses of curved HPS I-girder bridges. A sensitivity analysis of 278 prototype simple-span and continuous bridges was conducted using CSIbridge software to create a set of simple, practical expressions for the fundamental frequencies of these structures.


Curved bridges Frequency Finite element method High-performance steel 


  1. 1.
    Samaan, M.; Kennedy, J.B.; Sennah, K.: Dynamic analysis of curved continuous multiple-box girder bridges. J. Bridge Eng. 12(2), 184 (2007). CrossRefGoogle Scholar
  2. 2.
    Sharafbayani, M.; Linzell, D.G.: Optimizing horizontally curved, steel bridge, cross-frame arrangements to enhance construction performance. J. Bridge Eng. (2014). Google Scholar
  3. 3.
    Fatemi, S.J.; Sheikh, A.H.; Ali, M.: Development and application of an analytical model for horizontally curved bridge decks. Adv. Struct. Eng. (2016). Google Scholar
  4. 4.
    Sennah, K.; Kennedy, J.B.: Shear distribution in simply-supported curved composite cellular bridges. J. Bridge Eng. 3(2), 47 (1998). CrossRefGoogle Scholar
  5. 5.
    America Association of State Highway and Transportation Officials. AASHTO Load Factor Design, Bridge Design Specifications, 16th edn., Washington, DC (1996)Google Scholar
  6. 6.
    American Association of State Highway and Transportation Officials: AASHTO-LRFD Bridge Design Specification. AASHTO, Washington, DC (2014)Google Scholar
  7. 7.
    Sharafbayani, M.; Linzell, D.G.: Effect of temporary shoring location on horizontally curved steel I-girder bridges during construction. J. Bridge Eng. (2012). Google Scholar
  8. 8.
    Sanchez, T.A.; White, D.W.: Stability of curved steel I-girder bridge during construction. TRB (2012). Google Scholar
  9. 9.
    Culver, C.G.: Design recommendations for curved highway bridges. Final Report for Researcher Project 68-32, PENNDOT, Civil Engineering Department, Carnegie-Mellon University (1972)Google Scholar
  10. 10.
    Linzell, D.; Leon, R.T.; Zureick, A.H.: Experimental and analytical studies of a horizontally curved steel I-girder bridge during erection. J. Bridge Eng. 9(6), 521 (2004). CrossRefGoogle Scholar
  11. 11.
    Jung, S.K.; White, D.W.; Bashah, F.; Wright, W.: Ultimate strength of horizontally-curved I-girder bridge structural systems. In: Proceedings, Annual Technical Session, University of Missouri, Rolla, MO (2005)Google Scholar
  12. 12.
    Chang, C.J.: Construction simulation of curved steel I-girder bridges. Ph.D. thesis, Georgia Institute of Technology (2006)Google Scholar
  13. 13.
    Kim, S.K.; Laman, J.A.; Linzell, D.: Live load radial moment distribution for horizontally curved bridges. J. Bridge Eng. 12(6), 727 (2007). CrossRefGoogle Scholar
  14. 14.
    Hajjar, J.F.; Krzmarzick, D.; Pallares, L.: Measured behavior of a curved composite I-girder bridge. J. Constr. Steel Res. (2010). Google Scholar
  15. 15.
    Linzell, D.; Chen, A.; Sharafbayani, M.; Seo, J.; Nevling, D.; Ard, T.J.; Ashour, O.: Guidelines for Analyzing Curved and Skewed Bridges and Designing Them for Construction. Project No. PSU-009. Commonwealth of Pennsylvania Department of Transportation. Final Report, US (2010)Google Scholar
  16. 16.
    Samaan, M.; Sennah, K.; Kennedy, J.B.: Distribution factors for curved continuous composite box-girder bridges. J. Bridge Eng. 10(6), 678 (2005). CrossRefGoogle Scholar
  17. 17.
    Mohseni, I.; Khalim, A.R.: Transverse load distribution of skew cast-in-place concrete multicell box-girder bridges subjected to traffic condition. Lat. Am. J. Solids Struct. (2013). Google Scholar
  18. 18.
    Christiano, P.; Culver, C.: Horizontally curved bridges subject to moving load. J. Struct. Div. ASCE 95(8), 1615–1643 (1969)Google Scholar
  19. 19.
    Maneetes, H.; Linzell, D.G.: Cross-frame and lateral bracing influence on curved steel bridge free vibration response. J. Constr. Steel Res. (2003). Google Scholar
  20. 20.
    Yoon, K.Y.; Kang, Y.J.; Choi, Y.J.; Park, N.H.: Free vibration analysis of horizontally curved steel I-girder bridges. Thin-Wall Struct. (2005). Google Scholar
  21. 21.
    Barth, K.E.; Wu, H.: Development of improved natural frequency equations for continuous span steel I-girder bridges. Eng. Struct. (2007). Google Scholar
  22. 22.
    Trilly, G.P.; Cullington, D.W.; Eyre, R.: Dynamic behaviour of footbridges. IABSE Periodical, S-26/84 (1984)Google Scholar
  23. 23.
    Wu, H.: Influence of Live-Load Deflections on Superstructure Performance of Slab on Steel Stringer Bridges. Ph.D. thesis, West Virginia University, Virginia (2003)Google Scholar
  24. 24.
    Nassif, H.; Liu, M.; Su, D.; Gindy, M.: Vibration versus deflection control for bridges with high-performance steel girders. TRB (2011). Google Scholar
  25. 25.
    Le, H.X.; Hwang, E.S.: Investigation of deflection and vibration criteria for road bridges. KSCE J. Civ. Eng. (2017). Google Scholar
  26. 26.
    Barker, M.; Barth, K.E.: Improved Serviceability Criteria for Steel Girder Bridges. J. Bridge Eng. (2013). Google Scholar
  27. 27.
    Computers and Structures Inc: CSIbridge, Version 20. Structural software, Berkley (2018)Google Scholar
  28. 28.
    Samaan, M.; Sennah, K.; Kennedy, J.B.: Positioning of bearings for curved continuous spread-box girder bridges. Can. J. Civ. Eng. (2002). Google Scholar
  29. 29.
    Lebet, J.P.; Navarro, M.G.: Influence of concrete cracking on composite bridge behavior. In: Fifth International Conference on Composite Construction in Steel and Concrete (2006).
  30. 30.
    Ventura, C.E.; Felber, A.J.; Stiemer, S.F.: Determination of the dynamic characteristics of the colquitz river bridge by full-scale testing. Can. J. Civ. Eng. 23(2), 536–548 (1996). CrossRefGoogle Scholar
  31. 31.
    Newmark, N.W.; Siess, C.P.; Penman R.R.: Studies of Slab and Beam Highway Bridges Part I Tests of Simple-Span Right I-Beam Bridges. Bulletin series no. 363, the Engineering Experimental Station, the University of Illinois, Urbana, IL (1946)Google Scholar
  32. 32.
    Wegmuller, A.W.: Post elastic behavior of composite steel-concrete bridges. In: Second International Conference on Finite Element Methods in Engineering. University of Adelaide (1976)Google Scholar
  33. 33.
    Davidson, J.S.; Keller, M.A.; Yoo, C.H.: Cross-frame spacing and parametric effects in horizontally curved I-girder bridges. J. Struct. Eng. ASCE 122(9), 1089–1096 (1996)CrossRefGoogle Scholar
  34. 34.
    Wright, R.N.; Walker, W.H.: Criteria for the deflection of steel bridges. Bulletin for the America Iron and Steel Institute, No. 19 (1971)Google Scholar
  35. 35.
    Mohseni, I.; Kalim, A.R.A.; Kang, J.: A simplified method to estimate the fundamental frequency of skew continuous multicell box-girder bridges. Lat. Am. J. Solids Struct. (2014). Google Scholar
  36. 36.
    Wood, J.H.; Shepherd, R.: Vehicle induced vibrations. Ministry of Works and Development and the University of Auckland, Bulletin 44 (1977)Google Scholar
  37. 37.
    Dusseau, R.A.: Natural Frequencies of Highway Bridges in the New Madrid Region. Wayne State University, Detroit, Final Report, Civil Engineering Department (1996)Google Scholar
  38. 38.
    Wright, D. T.; Green, R.: Highway Bridge Vibration. Part II: Report No. 5 Ontario Test Programme. Ontario Department of Highways and Queen’s University. Kingston, Ontario (1964)Google Scholar

Copyright information

© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Department of Landscape Architecture and Rural Systems EngineeringSeoul National UniversitySeoulRepublic of Korea
  2. 2.School of Architecture and Architecture EngineeringHanyang UniversityAnsanRepublic of Korea

Personalised recommendations