Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Bridge-type structures analysis using RMP concept considering shear and bending flexibility

  • Received : 2018.12.06
  • Accepted : 2019.11.17
  • Published : 2020.04.25
⟨ Previous Next ⟩

Abstract

Researchers have elaborated several accurate methods to calculate member-end rotations or moments, directly, for bridge-type structures. Recently, the concept of rotation and moment propagation (RMP) has been presented considering bending flexibility, only. Through which, in spite of moment distribution method, all joints are free resulting in rotation and moment emit throughout the structure similar to wave motion. This paper proposes a new set of closed-form equations to calculate member-end rotation or moment, directly, comprising both shear and bending flexibility. Furthermore, the authors program the algorithm of Timoshenko beam theory cooperated with the finite element. Several numerical examples, conducted on the procedures, show that the method is superior in not only the dominant algorithm but also the preciseness of results.

Keywords

Acknowledgement

Supported by : University of Zabol

The authors gratefully acknowledge the University of Zabol, which partially supported this research.

References

  1. Almayah, A.A. (2018), "Simplified analysis of continuous beams", J. Appl. Eng. Res., 13(2), 922-928.
  2. Cross, H. (1932), "Analysis of continuous frames by distributing fixed-end moments", American Soc Civil Eng. Trasactions, 96(1793), 1-10. https://doi.org/10.1061/TACEAT.0004333
  3. Dowell, R.K. (2009), "Closed-form moment solution for continuous beams and bridge structures", Eng. Struct., 31(8), 1880-1887. https://doi.org/10.1016/j.engstruct.2011.09.023.
  4. Dowell, R.K. and Johnson, T.P. (2011), "Shear and bending flexibility in closed-form moment solutions for continuous beams and bridge structures", Eng. Struct., 33(12), 3238-3245. https://doi.org/10.1016/j.engstruct.2011.08.016.
  5. Dowell, R.K. and Johnson, T.P. (2012), "Closed-form shear flow solution for box-girder bridges under torsion", Eng. Struct., 34, 383-390. https://doi.org/10.1016/j.engstruct.2011.09.023
  6. Eslami, M.R. (2014), Finite Elements Methods in Mechanics, Springer International Publishing, Switzerland.
  7. Gere, J.M. (1963), Moment Distribution, Van Nostrand, U.S.A.
  8. Hosseini-Tabatabaei, M. and Rezaiee-Pajand, M. (2012), "Analysis of continuous beams and bridge frames based on propagating rotations", J. Iran. Soc. Civ. Eng., 14(34), 53-61.
  9. Hosseini-Tabatabaei, M., Rezaiee-Pajand, M. and Mollaei-Nia, M. (2017), "Analysis of continuous beams and bridge frames using moment propagation", J. Iran. Soc. Civ. Eng., 19(46), 74-83.
  10. Jansseune, A. and Corte, W.D. (2017), "The influence of convoy loading on the optimized topology of railway bridges", Struct. Eng. Mech., 64(1), 45-58. https://doi.org/10.12989/sem.2017.64.1.045.
  11. Karttunen, A.T., Romanoff, J. and Reddy, J.N. (2016), "Exact microstructure-dependent Timoshenko beam element", Int. J. Mech. Sci., 111(112), 35-42. https://doi.org/10.1016/j.ijmecsci.2016.03.023.
  12. Kaya, Y. and Dowling, J. (2016), "Application of Timoshenko beam theory to the estimation of structural response", Eng. Struct., 123, 71-76. https://doi.org/10.1016/j.engstruct.2016.05.026.
  13. Mirfallah, S.M.H. and Bozorgnasab, M. (2015), "A new Jacobi-based iterative method for the classical analysis of structures", Latin American J. Solids Struct., 12, 2581-2617. http://dx.doi.org/10.1590/1679-78251993.
  14. Regueiro, R.A. and Duan, Z. (2015), "Static and dynamic micropolar linear elastic beam finite element formulation, implementation, and analysis", J. Eng. Mech., 141(8), 1-18. https://ascelibrary.org.doi/10.1061/(ASCE)EM.1943-889.0000910.
  15. Romanoff, J., Reddy, J.N. and Jelovica, J. (2016), "Using non-local Timoshenko beam theories for prediction of micro- and macro-structural responses", Compos. Struct., 156, 410-420. https://doi.org/10.1016/j.compstruct.2015.07.010.
  16. Tabsh, S.W. and Mitchell, M.M. (2016), "Girder distribution factors for steel bridges subjected to permit truck or super load", Struct. Eng. Mech., 60(2), 237-249. https://doi.org/10.12989/sem.2016.60.2.237.
  17. Zuraski, P.D. (1991), "Continuous-beam analysis for highway bridges", J. Struct. Eng., 117(1), 80-99. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:1(80).