Skip to main content
Log in

A Study of Vehicle-Bridge Dynamic Interaction due to Indian Road Congress (IRC) Class A and B Loading

  • Published:
Mechanics of Solids Aims and scope Submit manuscript

Abstract—

The main focus of this study is to investigate the dynamic responses of a simply supported bridge structure in terms of displacement, speed, and acceleration subjected to vehicles traveling at different speeds. The interaction between a bridge and the vehicles moving on it is a coupled, dynamic problem. Conventionally, most research has been focused on the dynamic or impact response of the bridge, but not of the moving vehicles. For the cases where only the bridge response is desired, the moving vehicles have frequently been approximated to the extreme as a number of moving loads. In India, mainly IRC (Indian Road Congress) Class A and IRC Class B loading are considered in the design of bridges including the impact factor as specified in Indian Road Congress IRC-6. In the present practice in India, the speed of the moving vehicles of IRC class A and B is completely overlooked in the designing of the bridge structures. This article deals with the responses of the bridge due to the moving vehicles of IRC Class A and IRC Class B loading. In this study, six different spans of bridges of 20, 40, 60, 80, 100, and 120 m are considered. Each span has been analyzed separately due to IRC class A and B loading subjected to vehicle speed ranging from 30 to 210 km/h. Dynamic responses (displacement, velocity, acceleration) and the Impact factor of the bridge for each of the six span length subjected to high-speed IRC class A and B loading have been computed in this study. For earthquake resistance design of bridges, in addition to the vibration caused due to wind and earthquake load, vibration caused by high-speed vehicle need to be considered. In this study, this issue has been addressed in detail. The proposed results can be used as a modification of the IRC specifications when dealing with short and long-span highway bridges by selecting the modified impact factor.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. J. Kim and J. P. Lynch., “Experimental analysis of vehicle-bridge interaction using a wireless monitoring system and a two-stage system identification technique,” Mech. Syst. Sign. Proc. 28, 3–19 (2012).

    Article  Google Scholar 

  2. S. P. Brady, E. J. O’Brien, and A. Znidaric, “Effect of vehicle velocity on the dynamic amplification of two vehicles crossing a simply supported bridge,” J. Bridge. Eng. 11, 250–256 (2006).

    Article  Google Scholar 

  3. J. D. Yau, “Vehicle/bridge interactions of a rail suspension bridge considering support movements,” Interact. Multiscale Mech. 2, 263–276 (2009).

    Article  Google Scholar 

  4. M. Kawatani, C. W. Kim, and K. Yasui, “Seismic response of a highway bridge under traffic loadings,” in Proc. of Pacific Struct. Steel Conf.2007: Steel Structures in Natural Hazards, Wairakei, New Zealand, March 13–16 (Wairakei, 2007), pp. 183–188.

  5. D. Chang and H. Lee, “Impact factors for simple-span highway girder bridges,” J. Struct. Eng. 120 (3), 704–715 (1994).

    Article  Google Scholar 

  6. Y. Yang, C. W. Lin, and J. D. Yau, “Extracting bridge frequencies from the dynamic response of a passing vehicle,” J. Sound Vib. 272, 471–493 (2004).

    Article  ADS  Google Scholar 

  7. Z. Qiling, L. Deng, T. Guo, and X. Yin, “Comparative study of different numerical models for vehicle—bridge interaction analysis,” Int. J. Struct. Stability Dyn. 16, 1550057 (2016).

    Article  Google Scholar 

  8. T. Xiang and R. Zhao, “Dynamic interaction analysis of the vehicle-bridge system using transfer matrix method,” Int. J. Struct. Eng. Mech. 20 (1), 111–121 (2005).

    Article  Google Scholar 

  9. D. Chang and H. Lee, “Impact factors for simple-span highway girder bridges,” J. Struct. Eng. 120 (3), 704–715 (1994).

    Article  Google Scholar 

  10. T. L. Wang, D. Huang, and M. Shahawy, “Dynamic response of multi-girder bridges,” J. Struct Eng. 118 (8), 2222–2238 (1992).

    Article  Google Scholar 

  11. R. T. Wang and J. S. Lin, “The vibration of multi-span Timoshenko frames due to moving loads,” J. Sound Vib. 212, 417–434 (1998).

    Article  ADS  Google Scholar 

  12. J. J. Wu, A. R. Whittaker, and M. P. Cartmell, “Dynamic responses of structures to moving bodies using combined finite element and analytical methods,” Int. J. Mech. Sci. 43, 2555–2579 (2001).

    Article  Google Scholar 

  13. E. Savin, “Dynamic amplification factor and response spectrum for the evaluation of vibrations of beams under successive moving loads,” J. Sound Vib. 248, 267–288 (2001).

    Article  ADS  Google Scholar 

  14. G. T. Michaltsos, “Dynamic behavior of a single-span beam subjected to loads moving with variable speeds,” J. Sound Vib. 258, 359–372 (2002).

    Article  ADS  Google Scholar 

  15. Z. Oniszczuk, “Forced transverse vibrations of an elastically connected complex rectangular simply supported double-plate system,” J. Sound Vib. 270, 997–1011 (2004).

    Article  ADS  Google Scholar 

  16. H. S. Zibdeh and M. Abu-Hilal, “Stochastic vibration of laminated composite coated beam traversed by a random moving load,” Eng. Struct. 25, 397–404 (2003).

    Article  Google Scholar 

  17. S. S. A. Law and X. Q. Zhu, “Dynamic behavior of damaged concrete bridge structures under moving vehicular loads,” Eng. Struct. 26, 1279–1293 (2004).

    Article  Google Scholar 

  18. P. Lou, G. Dai, and Q. Zeng, “Dynamic analysis of a Timoshenko beam subjected to moving concentrated forces using the finite element method,” Shock Vib. 14, 459–468 (2007).

    Article  Google Scholar 

  19. M. Kawatani, C. W. Kim, T. Kanbara, and N. Nishimura, “Seismic behavior of steel monorail bridges under train load during strong earthquakes,” J. Earthq. Tsunami 7, 1–17 (2013).

    Google Scholar 

  20. C. Johansson, C. Pacoste and R. Karoumi, “Closed-form solution for the mode superposition analysis of the vibration in multi-span beam bridges caused by concentrated moving loads,” Comput. Struct. 119, 85–94 (2013).

    Article  Google Scholar 

  21. Y. B. Yang, S. S. Liao, and B. H. Lin, “Impact formulas for vehicles moving over simple and continuous beams,”. J. Struct. Eng. 121, 1644–1650 (1995).

    Article  Google Scholar 

  22. C. Liu, D. Huang and T. L. Wang, “Analytical dynamic impact study based on correlated road roughness,” Comput. Struct. 80, 1639–1650 (2002).

    Article  Google Scholar 

  23. D. Huang and T. L. Wang, “Impact analysis of cable-stayed bridges,” Comput. Struct. 43, 897–908 (1992).

    Article  Google Scholar 

  24. IRC-06 (Indian Roads Congress - Public Safety Standards of India), Standard Specifications and Code of Practice for Road bridges: Section II - Loads and Stresses, Fourth Revision (2014).

  25. M. M. Stanisic and J. C. Hardin, “On the response of beams to an arbitrary number of concentrated moving masses,” J. Franklin Inst. 287 (2), 115–123. (1969).

    Article  Google Scholar 

  26. E.C. Ting and M. Yener, “Vehicle-structure interactions in bridge dynamics,“ Shock Vib. Dig. 15, 3–9 (1983).

    Article  Google Scholar 

  27. S. Sadiku and H. Leipholz, “On the dynamics of elastic systems with moving concentrated masses,” Ing.-Arch. 57, 223–242 (1987).

    MATH  Google Scholar 

  28. J. M. Biggs, Introduction to Structural Dynamics (McGraw-Hill, New York, 1964).

    Google Scholar 

  29. L. Fryba, Vibration of Solids and Structures Under Moving Loads (Thomas Telford, London, 1999).

    Book  Google Scholar 

  30. Y. B. Yang and S.S. Liao, “Impact Formulas for Vehicles Moving Over Simple and continuous beams,” J. Struct. Eng. 121, 1644–1650 (1995).

    Article  Google Scholar 

  31. D. Huang and T. L. Wang, “Impact analysis of cable-stayed bridges,” Comput. Struct. 43, 897–908 (1992).

    Article  Google Scholar 

  32. Y. B. Yang, J. D. Yau, and Y. S. Wu, Vehicle-Bridge Interaction Dynamics—With Applications to High-Speed Railways (World Scientific, London, 2010).

    Google Scholar 

  33. W. Gao and N. Zhang, “Seismic random vibration analysis of shear beams with random structural parameters Seismic random vibration analysis of shear beams with random structural parameters,” J. Mech. Sci. Techn. 24, 497–504 (2010).

    Article  Google Scholar 

  34. N. Liu, W. Gao, C.M. Song, and N. Zhang, “Probabilistic dynamic analysis of vehicle-bridge interaction system with uncertain parameters,” Comp. Modell. Eng. Sci. 72 (2), 79–102 (2011).

    MathSciNet  MATH  Google Scholar 

  35. N. Liu, W. Gao, C.M. Song, et al., “Interval dynamic response analysis of vehicle-bridge interaction system with uncertainty,” J. Sound Vib. 332, 3218–3231 (2013).

    Article  ADS  Google Scholar 

  36. N. Liu, W. Gao, C.M. Song, et al., “Hybrid probabilistic interval dynamic analysis of vehicle—bridge interaction system with uncertainties,” Int. J. Struct. Stab. Dyn. 14, 1–25 (2014).

    Article  MathSciNet  Google Scholar 

  37. IRC-18 (Indian Roads Congress - Public Safety Standards of India), Prestressed Concrete Road Bridges, Revised Edition (2000).

  38. Y. B. Yang and C.W. Lin, “Vehicle-bridge interaction dynamics and potential applications,” J. Sound Vib. 284, 205–226 (2005).

    Article  ADS  Google Scholar 

  39. Y. B. Yang, J. D. Yau, and L. C. Hsu, “Vibration of simple beams due to trains moving at high speeds,” Eng. Struct. 19, 936–944 (1997).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Bindesh Nunia or T. Rahman.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nunia, B., Rahman, T. A Study of Vehicle-Bridge Dynamic Interaction due to Indian Road Congress (IRC) Class A and B Loading. Mech. Solids 55, 437–459 (2020). https://doi.org/10.3103/S0025654420030115

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0025654420030115

Keywords:

Navigation