Analytical solution on highway U-shape bridges using isotropic plate theory
The U-shape bridge is one of the favorite designs possessing obvious advantages in lowing construction depth, especially in densely populated areas with an existing geographical layout of the transportation. The present study has developed an analytical solution on the isotropic plate theory basis for analyzing such concrete U-shape bridges. In this solution, the U-shape bridge is structurally regarded as an elastic thin plate with a boundary condition provided by two side girders. All the mechanical performances under different vertical loads including the self-weight can be given in forms of mathematic expressions, which should come handy especially during the preliminary stage of design. After accuracy verification, a parametric study was carried out to better understand and optimize the U-shape bridges in practice. The proposed solution is proved to be a time-saving solution with sufficient accuracy especially compared to the one commonly used based on the beam theory.
KeywordsU-shape bridges lowing construction depth isotropic plate theory side girders analytical solution parametric study
Unable to display preview. Download preview PDF.
- Christopher, J. Al and Frank, N. (1998). “The first channel bridges.” Public Roads, Vol. 62, No. 2, pp. 40–46.Google Scholar
- Dutoit D., Gauthier Y., Montens S., and Vollery, J. C. (2008). “150 km of U Shape prestressed concrete decks for LRT viaducts.” IABSE Congress Report, 17th Congress of IABSE, Chicago U.S.A., pp. 522–523.Google Scholar
- Gauthier Y., Touat A., Montens S., and Kataria, R. (2007). “Pushing the limits of U shaped viaducts.” Improving Infrastructure Worldwide, IABSE Symposium, Weimar, Germany, pp. 168–169.Google Scholar
- Ghali A., Neville A., and Brown, T. G. (2009). Structural analysis: A unified classical and matrix approach, CRC Press, Boca Raton FL, U.S.A.Google Scholar
- Kadkhodayan, M. and Maarefdoust, M. (2014). “Elastic/plastic buckling of isotropic thin plates subjected to uniform and linearly varying in-plane loading using incremental and deformation theories.” Aerospace Science and Technology, Vol. 32, No. 1, pp. 66–83, DOI: 10.1016/j.ast.2013.12.003.CrossRefGoogle Scholar
- Moaveni, S. (2007). Finite element analysis theory and application with ANSYS (3rd edition), Prentice Hall, New Jersey, U.S.A.Google Scholar
- Shepherd, B. and Gibbens, B. (2004). “The evolution of the concrete “channel” bridge system and its application to road, and rail bridges.” Concrete Structures: The Challenge of Creativity, CEB-FIB Symposium, Avignon, France, 196–197.Google Scholar
- Timoshenko, S. (1964). The theory of plates and shells, 2nd edition, McGraw-Hill Publishing Company, New York, U.S.A.Google Scholar
- Zhao, J. and Tonias, D. (2012). Bridge engineering, Third edition, McGraw-Hill Professional, New York, USA.Google Scholar