DOI QR코드

DOI QR Code

Dependency of COD on ground motion intensity and stiffness distribution

  • Aschheim, Mark (Civil Engineering Department, Santa Clara University) ;
  • Maurer, Edwin (Civil Engineering Department, Santa Clara University) ;
  • Browning, JoAnn (Civil, Environmental, and Architectural Engineering Department, University of Kansas)
  • Received : 2006.07.12
  • Accepted : 2007.06.01
  • Published : 2007.11.10

Abstract

Large changes in stiffness associated with cracking and yielding of reinforced concrete sections may be expected to occur during the dynamic response of reinforced concrete frames to earthquake ground shaking. These changes in stiffness in stories that experience cracking might be expected to cause relatively large peak interstory drift ratios. If so, accounting for such changes would add complexity to seismic design procedures. This study evaluates changes in an index parameter to establish whether this effect is significant. The index, known as the coefficient of distortion (COD), is defined as the ratio of peak interstory drift ratio and peak roof drift ratio. The sensitivity of the COD is evaluated statistically for five- and nine-story reinforced concrete frames having either uniform story heights or a tall first story. A suite of ten ground motion records was used; this suite was scaled to five intensity levels to cause varied degrees of damage to the concrete frame elements. Ground motion intensity was found to cause relatively small changes in mean CODs; the changes were most pronounced for changes in suite scale factor from 0.5 to 1 and from 1 to 4. While these changes were statistically significant in several cases, the magnitude of the change was sufficiently small that values of COD may be suggested for use in preliminary design that are independent of shaking intensity. Consequently, design limits on interstory drift ratio may be implemented by limiting the peak roof drift in preliminary design.

Keywords

References

  1. Ang, A. H-S. and Tang, W.H. (1975), Probability Concepts in Engineering Planning and Design, Volume I-Basic Principles, John Wiley & Sons, New York, 409pp
  2. Aschheim, M. and Browning, J. (2007), 'Influence of cracking on peak displacement estimates of RC frames', J. Struct. Eng., Am. Soc. Civil Eng. (in press)
  3. Browning, J. (2001), 'Proportioning of earthquake-resistant RC building structures', J. Struct. Eng., ASCE, 127(2), 145-151 https://doi.org/10.1061/(ASCE)0733-9445(2001)127:2(145)
  4. Browning, J. (2002), 'Proportioning earthquake-resistant RC frames in central/eastern U.S.', Earthq. Eng. Struct. Dyn., 31, 1267-1280 https://doi.org/10.1002/eqe.161
  5. Carr, A.J. (2003), Ruaumoko User Manual, University of Canterbury, New Zealand
  6. Chan, C.-M. and Wang, Q. (2005), 'Optimal drift design of tall reinforced concrete buildings with non-linear cracking effects', Struct. Des. Tall Spec., 14, 331-351 https://doi.org/10.1002/tal.275
  7. Draper, N.R. and Smith, H. (1981), Applied Regression Analysis, 2nd edition, Wiley
  8. FEMA 351 (2000), Recommended Seismic Evaluation and Upgrade Criteria for Existing Welded Steel Moment-frame Buildings, Report No. FEMA 351, Federal Emergency Management Agency, Washington, DC
  9. FEMA 356 (2000), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, Report No. FEMA 356, Federal Emergency Management Agency, Washington, D.C.
  10. FEMA 450-1 (2004), The 2003 NEHRP Recommended Provisions for New Buildings and Other Structures-Part 1: Provisions, Report No. FEMA 450-1, Federal Emergency Management Agency, Washington, DC
  11. Hognestad, E. (1951). A Study of Combined Bending and Axial Load in Reinforced Concrete Members. Bulletin Series No. 399, University of Illinois Engineering Experiment Station, Urbana, Illinois
  12. Lee, K. and Foutch, D.A. (2002), 'Performance evaluation of new steel frame buildings for seismic loads', Earthq. Eng. Struct. Dyn., 31(3), 653-670 https://doi.org/10.1002/eqe.147
  13. Lepage, Andres. (1997), A Method for Drift-Control in Earthquake-Resistant Design of Reiriforced Concrete Building Structures. Thesis Submitted in Partial Fulfillment of the Requirements for the Degree of Ph.D. in Civil Engineering, University of Illinois at Urbana, Champaign
  14. Lopez, R.R. (1988), Numerical Model for Nonlinear Response of R/C Frame-Wall Structures. PhD. Thesis Submitted to the Graduate College of the University of Illinois Urbana, Illinois
  15. Matamoros, A., Browning, J. and Lufta, M. (2002), 'Evaluation of simple methods for estimating drift of reinforced concrete buildings subjected to earthquakes', Earthq. Spectra, 19(4), 839-861 https://doi.org/10.1193/1.1623781
  16. McKenna, F. and Fenves, G.L. (2001), OpenSees Manual. PEER Center, http://opensees.berkeley.edu/OpenSees
  17. Medina, R.A. and Krawinkler, H. (2005), 'Evaluation of drift demands for the seismic performance assessment of frames', J. Struct. En., Am. Soc. Civil Eng., 131(7), 1003-1013
  18. Moehle, J.P. (1992), 'Displacement-based design of RC structures subjected to earthquakes', Earthq. Spectra, EERI, August, 8(3), 403-428 https://doi.org/10.1193/1.1585688
  19. Saiidi, M. and Sozen, M.A. (1979), Simple and Complex Models for Nonlinear Seismic Response of Reinforced Concrete Structures. Structural Research Series No. 465, Civil Engineering Studies, University of Illinois, Urbana, Illinois
  20. Takeda, T.M., Sozen, M.A. and Nielsen, N.N. (1970), 'Reinforced concrete response to simulated earthquakes', J. Struct. Div., ASCE, 96(ST12), 2557-2573
  21. Vamvatsikos, D. and Cornell, C.A. (2002), 'Incremental dynamic analysis', Earthq. Eng. Struct. Dyn., March, 31(3), 491-514 https://doi.org/10.1002/eqe.141
  22. Vision 2000 (1995), Performance based Seismic Engineering of Buildings, Structural Engineers Association of California, Sacramento, CA
  23. Wilks, Daniel S. (1995), Statistical Methods in the Atmospheric Sciences, Academic Press

Cited by

  1. Implementation of Displacement Coefficient method for seismic assessment of buildings built on soft soil sites vol.59, 2014, https://doi.org/10.1016/j.engstruct.2013.10.017
  2. Yield frequency spectra and seismic design of code-compatible RC structures: an illustrative example vol.46, pp.11, 2017, https://doi.org/10.1002/eqe.2877
  3. Response of structures to seismic sequences corresponding to Mexican soft soils vol.7, pp.6, 2014, https://doi.org/10.12989/eas.2014.7.6.1241