Skip to main content
Log in

Development of the applicability of simplified Henry’s method for skewed multicell box-girder bridges under traffic loading conditions

  • Published:
Journal of Zhejiang University SCIENCE A Aims and scope Submit manuscript

Abstract

Concrete precast multicell box-girder (MCB) bridges combine aesthetics with torsional stiffness perfectly. Previous analytical studies indicate that currently available specifications are unable to consider the effect of the twisting moment (torsional moment) on bridge actions. In straight bridges the effect of torsion is negligible and the transverse reinforced design is governed by other requirements. However, in the case of skewed bridges the effect of the twisting moment should be considered. Therefore, an in-depth study was performed on 90 concrete MCB bridges with skew angles ranging from 0° to 60°. For each girder the bridge actions were determined under the American Association of State Highway and Transportation Officials (AASHTO) live load conditions. The analytical results show that torsional stiffness and live load positions greatly affected the bridges’ responses. In addition, based on a statistical analysis of the obtained results, several skew correction factors are proposed to improve the precision of the simplified Henry’s method, which is widely used by bridge engineers to predict bridge actions. The relationship between the bending moment and secondary moments was also investigated and it was concluded that all secondary actions increase with an increase in skewness.

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.

Institutional subscriptions

Similar content being viewed by others

References

  • AASHTO, 2002. Bridge Design Specifications. American Association of State Highway and Transportation Officials (14th Edition), Washington DC.

  • AASHTO, 2008. AASHTO LRFD Bridge Design Specifications: Customary US Units (5th Edition). American Association of State Highway and Transportation Officials, Washington DC.

    Google Scholar 

  • Ashebo, D.B., Chan, T.H.T., Yu, L., 2007. Evaluation of dynamic loads on a skew box girder continuous bridge Part I: Field test and modal analysis. Engineering Structures, 29(6):1052–1063. [doi:10.1016/j.engstruct.2006.07.014]

    Article  Google Scholar 

  • Bae, H.U., Oliva, M., 2012. Moment and shear load distribution factors for multigirder bridges subjected to overloads. Journal of Bridge Engineering, 17(3):519–527. [doi:10.1061/(ASCE)BE.1943-5592.0000271]

    Article  Google Scholar 

  • Barker, R.M., Puckett, J.A., 1997. Design of Highway Bridges Based on AASHTO LRFD Bridge Design Specifications. John Wiley & Sons, New York, USA.

    Google Scholar 

  • Begum, Z., 2010. Analysis and Behavior Investigations of Box Girder Bridges. MS Thesis, University of Maryland, USA.

    Google Scholar 

  • CHBDC, 2000. Canadian Standards Association: Canadian Highway Bridge Design Code. CAN/CSA-S6-00, CSA International, Toronto, Ontario, Canada.

    Google Scholar 

  • Chun, B.J., 2010. Skewed Bridge Behaviors: Experimental, Analytical, and Numerical Analysis. PhD Thesis, Wayne State University, USA.

    Google Scholar 

  • Dicleli, M., Erhan, S., 2009. Live load distribution formulas for single-span prestressed concrete integral abutment bridge girders. Journal of Bridge Engineering, 14(6):472–486. [doi:10.1061/(ASCE)BE.1943-5592.0000007]

    Article  Google Scholar 

  • Ebeido, T., Kennedy, J.B., 1996. Shear and reaction distributions in continuous skew composite bridges. Journal of Bridge Engineering, 1(4):155–165. [doi:10.1061/(ASCE)1084-0702(1996)1:4(155)]

    Article  Google Scholar 

  • Euro-Code 2, 2005. European Standard: Design of Concrete Structures-Concrete Bridges: Design and Detailing Rules. London, UK.

  • Fan, Z., Helwig, T.A., 2002. Distortional loads and brace forces in steel box girders. Journal of Structural Engineering, 128(6):710–718. [10.1061/(ASCE)0733-9445(2002)128:6(710)]

    Article  Google Scholar 

  • Foinquinos, R., Kuzmanovic, B., Vargas, L.M., 1997. Influence of Diaphragms on Live Load Distribution in Straight Multiple Steel Box Girder Bridges. Proceedings of 15th Structures Congress, ASCE, Portland. OR, USA, p.89–103.

  • Fu, C.C., Tang, Y., 2001. Torsional analysis for prestressed concrete multiple cell box. Journal of Engineering Mechanics, 127(1):45–51. [doi:10.1061/(ASCE)0733-9399(2001)127:1(45)]

    Article  Google Scholar 

  • Hall, D., Grubb, M., Yoo, C., 1999. Improved Design Specifications for Horizontally Curved Steel Girder Highway Bridges. National Cooperative Highway Research Program (NCHRP), Washington DC.

    Google Scholar 

  • Hambly, E.C., 1991. Bridge Deck Behaviour (2nd Edition). Chapman & Hall, New York, NY.

    Google Scholar 

  • Heins, C., 1978. Box girder bridge design state-of-the-art. Engineering Journal of the American Institute of Steel Construction, 15(4):126–142.

    Google Scholar 

  • Huo, X., Zhang, Q., 2008. Effect of skewness on the distribution of live load reaction at piers of skewed continuous bridges. Journal of Bridge Engineering, 13(1):110–114. [doi:10.1061/(ASCE)1084-0702(2008)13:1(110)]

    Article  Google Scholar 

  • Huo, X., Conner, S., Iqbal, R., 2003. Re-Examination of the Simplified Method (Henry’s Method) of Distribution Factors for Live Load Moment and Shear. Final Report, Tennessee DOT Project No. TNSPR-RES, 1218, USA.

  • Huo, X., Wasserman, E., Iqbal, R., 2005. Simplified method for calculating lateral distribution factors for live load shear. Journal of Bridge Engineering, 10(5):544–554. [doi:10.1061/(ASCE)1084-0702(2005)10:5(544)]

    Article  Google Scholar 

  • Jaeger, L.G., Bakht, B., 1982. The grillage analogy in bridge analysis. Canadian Journal of Civil Engineering, 9(2):224–235. [doi:10.1139/l82-025]

    Article  Google Scholar 

  • Kolbrunner, C.F., Basler, K., 1969. Torsion in Structures: An Engineering Approach. Springer-Verlag, Berlin, p.1–21, 47–50.

    Google Scholar 

  • Krätzig, W., 1993. Best transverse shearing and stretching shell theory for nonlinear finite element simulations. Computer Methods in Applied Mechanics and Engineering, 103(1–2):135–160. [doi:10.1016/0045-7825(93)90043-W]

    Article  MATH  Google Scholar 

  • Park, N.H., Choi, S., Kang, Y.J., 2005. Exact distortional behavior and practical distortional analysis of multicell box girders using an expanded method. Computers & Structures, 83(19–20):1607–1626. [doi:10.1016/j.compstruc.2005.01.003]

    Article  Google Scholar 

  • Razaqpur, A.G., Li, H., 1991. Thin-walled multicell boxgirder finite element. Journal of Structural Engineering, 117(10):2953–2971. [doi:10.1061/(ASCE)0733-9445(1991)117:10(2953)]

    Article  Google Scholar 

  • Sennah, K., Kennedy, J.B., 1999. Load distribution factors for composite multicell box girder bridges. Journal of Bridge Engineering, 4(1):71–78. [doi:10.1061/(ASCE)1084-0702(1999)4:1(71)]

    Article  Google Scholar 

  • Song, S., Chai, Y., Hida, S., 2003. Live-load distribution factors for concrete box-girder bridges. Journal of Bridge Engineering, 8(5):273–281. [doi:10.1061/(ASCE)1084-0702(2003)8:5(273)]

    Article  Google Scholar 

  • Théoret, P., Massicotte, B., Conciatori, D., 2012. Analysis and design of straight and skewed slab bridges. Journal of Bridge Engineering, 17(2):289–301. [doi:10.1061/(ASCE)BE.1943-5592.0000249]

    Article  Google Scholar 

  • Tobias, D.H., Anderson, R.E., Khayyat, S.Y., Uzman, Z.B., Riechers, K.L., 2004. Simplified AASHTO load and resistance factor design girder live load distribution in Illinois. Journal of Bridge Engineering, 9(6):606–613. [doi:10.1061/(ASCE)1084-0702(2004)9:6(606)]

    Article  Google Scholar 

  • Zhang, Q., 2008. Development of Skew Correction Factors for Live Load Shear and Reaction Distribution in Highway Bridge Design. PhD Thesis, Tennessee Technological University, Tennessee, USA.

    Google Scholar 

  • Zokaie, T., Mish, K., Imbsen, R., 1993. Distribution of Wheel Loads on Highway Bridges, Phase III. NCHRP Final Report 12-26(2), Transportation Research Record, Washington DC.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Iman Mohseni.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mohseni, I., Rashid, A.R.K. Development of the applicability of simplified Henry’s method for skewed multicell box-girder bridges under traffic loading conditions. J. Zhejiang Univ. Sci. A 13, 915–925 (2012). https://doi.org/10.1631/jzus.A1200098

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/jzus.A1200098

Key words

CLC number

Navigation