Effects of Vertical Motions on Seismic Response of Goltzschtal Masonry Arch Bridge

Document Type : Structural Earthquake Engineering


1 Science and Research branch, Islamic Azad University, Tehran.


3 Department of Civil engineering, Science and Research branch, Islamic Azad University, Tehran.

4 Urmia University and Technology, Urmia.


Previous researches have demonstrated that the effects of earthquake vertical component on main structural elements of bridges are very noticeable in near-fault seismic events. In the near distances of seismic source (D<10 to 15 km) the response spectrum of a vertical component has a great peak in short-period regions. Owing to geometrical shape and mechanical properties, masonry arch bridges have lower characteristic periods. It seems that, in this type of bridge, axial force response is considerable under vertical seismic events. In this article, a simple analytic model for masonry arch bridges is introduced. Vertical motions effects on seismic axial force response of masonry arch bridges are investigated through dynamic time history analysis of the world's largest masonry arch bridge simplified model. Vertical component effects on bridge structural elements are measured using a ratio computed by dividing the average values resulted from time history analysis based on applying three components of earthquakes simultaneously for seven selected records to responses of dead load applying. Then, the bridge's simplified model dynamic analysis results are verified by the results obtained from accurate finite element model dynamic analysis. Besides, in order to investigate the effects of low tension strength of masonry materials, the results obtained from nonlinear dynamic analysis in which tension strength of material is assumed to be zero, are compared with those obtained from linear dynamic analysis. This survey shows that vertical component effects in some structural elements of bridges are very considerable.


  1. Newmark, N.M. and Hall, W.J. (1978) Development of Criteria for Seismic Review of Selected Nuclear Power Plants. NUREG/CR-0098, Nuclear Regulatory Commission.
  2. Silva, W.J. (1997) Characteristics of vertical ground motions for application to engineering design. Proc., FHWA/NCEER Workshop on the National Representation of Seismic Ground Motion for New and Existing Highway Facilities, Tech. Rep. No. NCEER 97 0010, National Centre for earthquake engineering research, state Univ. of New York at buffalo, N.Y., 205-252.
  3. Button, M.R., Cronin, C.J., and Mayes, R.L. (2002) Effect of vertical motions on seismic response of highway bridges. Journal of Structural Engineering, 128, 1551-1564, DOI: 10.1061/~ASCE!0733-9445~2002!128:12~1551!.
  4. Saadeghvaziri, M.A. and Foutch, D.A. (1998) Dynamic behavior of R/C high way bridges under the combined effect of vertical and horizontal earthquake motions. J. Earthquake Eng. Struct. Dyn., 20, 535-549, DOI: 10.1002/eqe.4290200604.
  5. Yu, C.P., Broekhuizen, D.S., Roesset, J.M., Breen, J.E., and Kreger, M.E. (1997) Effect of vertical ground motion on bridge deck response. Proc. Workshop on Ear thquake Engineering Frontiers in Transportation Facilities, Tech. Rep. No. NCEER-97-0005, National Center for Earthquake Engineering Research, State Univ. of New York at Buffalo, N.Y., 249-263
  6. Broekhuizen, D.S. (1996) Effects of Vertical Acceleration on Prestressed Concrete Bridges. M.Sc. Thesis, Univ. of Texas at Austin, Tex.
  7. Yu, C.P. (1996) Effect of Vertical Earthquake Components on Bridge Responses. Ph.D. Thesis, Univ. of Texas at Austin, Tex.
  8. Gloyd, S. (1997) Design of ordinary bridges for vertical seismic acceleration. Proc. FHWA/NCEER Workshop on the National Representation of Seismic Ground Motion for New and Existing Highway Facilities, Tech. Rep. No. NCEER-97-0010, National Center for Earthquake Engineering Research, State Univ. of New York at Buffalo, N.Y., 277-290.
  9. Sheng, L.H. and Kunnath, S.(2008) Effect of vertical acceleration on highway bridges. Fourth US-Taiwan Bridge Engineering Workshop, Princeton, Newjercey.
  10. Kunnath, S.K., Abrahamson, N., Chai, Y.H., Erduran, E., and Yilmaz, Z. (2008) Development of Guidelines for Incorporation of Vertical Ground Motion in Seismic Design of Highway Bridges. A Technical Report Submitted to
  11. the California Department of Transportation under Contract 59A0434.
  12. Hosseinzadeh, N.A. (2008) Vertical Component effect of Earthquake in seismic performance of reinforced concrete bridges piers. 14th Conf. on Earthquake Engineering, Beijing, China.
  13. Armstrong, D.M., Sibbald, A., Fairfield, C.A., and Forde, M.C. (1995) Modal analysis for masonry arch bridge spandrell wall separation identification. NDT&E International, 28(6), 377-386, DOI: 10.1016/0963-8695(95)00048-8.
  14. Brencich, A. and Sabia, D. (2008) Experimental identification of multi-span masonry bridge: The Tanaro Bridge. Construction and Building Materials, 22, 2087-2099, DOI:10.1016/j.conbuildmat.2007.07.031.
  15. Bayraktar, A., Altunisik, A.C., Birinci, F., Sevim, B., and Türker, T. (2010) Finite-element analysis and vibration testing of a two-span masonry arch bridge. Journal of Performance of Constructed Facilities, 24, 46-52, DOI:10.1061/_ASCE_CF.1943-5509.0000060.
  16. Caglayan, B.O., Ozakgul, K., Tezer, O., and Uzgider, E. (2011) Evaluation of a steel railway bridge for dynamic and seismic loads. Journal of Constructional Steel Research, 67(8), 1198-1211, DOI:10.1016/j.jcsr.2011.02.013.
  17. Yazdani, M., and Marefat, M.S. (2012) Evaluation of damping in unreinforced concrete arch bridges based on dynamic analysis. Second International Conference on Acoustic and Vibration, Tehran, Iran.
  18. Pela, L., Aprile, A., and Benedetti, A. (2013) Comparison of seismic assessment for masonry arch bridges. Construction and Building Mater ials , 38, 381-394, DOI:10.1016j.conbuildmat.2012.08.046.
  19. Islamic Rep of Iran , Ministry of Roads and Transportation, Deputy of Training; Research and Information Technology (2008) Road and Railway Bridges Seismic Resistant Design Code.
  20. CALTRANS (2010) Seismic Design Criteria, Version 1.6.
  21. EuroCode 8 (2003) Design of Structures for Ear thquake Resistance, General Rules, Seismic Actions and Rules for Buildings.
  22. AASHTO (2012) LRFD Br idge Design Specifications. Washington, D.C.
  23. AASHTO (1999) Guide Specification for Design and Construction of Segmental Concrete Bridges. Washington, D.C.
  24. AASHTO (1996) Standard Specification for Highway Bridges. 16th Ed., Washington, D.C.
  25. ASCE /SEI 7-10 (2013) Minimum Design Loads for Buildings and Other Structures.
  26. ICC IBC (2012) International Building Code.
  27. Uniform Building Code 97.
  28. Wikipedia, the Free Encyclopedia, Goltzsch viaduct.
  29. Sap2000 Ultimate 16.0.0, Structural Analysis Program, Manual.
  30. Abaqus/CAE, Version 6.13, Structural Analysis Program.
  31. Elmenshavi, A.S., Sorour, M., Mofti, A., and Jaeger, L.G. (2010) Damping mechanism and damping ratios in vibrating unreinforced stone masonry. Journal of Engineering Structures.
  32. 3269-3278, DOI: 10.1016/j.engstruct. 2010.06.016.
  33. Islami, K. (2013) System Identification and Structural Health Monitoring of Bridge Structures. Ph.D. Thesis, University of Padua, Italy.
  34. Caglayan, B.O., Ozakgul, K., and Tezer, O. (2012) Assessment of a concrete arch bridge using static and dynamic load tests. Journal of Structural Engineering and Mechanics, 41(1), 83-94.
  35. Kaushik, H.B., Rai, D.C., and Jain, S.K. (2007) Uniaxial compressive stress-strain model for clay brick masonry. Current Science, 92(4), 497-501.