Earthquakes and Structures

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Equivalent lateral force method for buildings with setback: adequacy in elastic range

  • Roy, Rana (Department of Applied Mechanics, Bengal Engineering and Science University) ;
  • Mahato, Somen (Department of Civil Engineering, Bengal Engineering and Science University)
  • Received : 2011.03.30
  • Accepted : 2012.12.01
  • Published : 2013.06.25
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Abstract

Static torsional provisions employing equivalent lateral force method (ELF) require that the earthquake-induced lateral force at each story be applied at a distance equal to design eccentricity ($e_d$) from a reference resistance centre of the corresponding story. Such code torsional provisions, albeit not explicitly stated, are generally believed to be applicable to the regularly asymmetric buildings. Examined herein is the applicability of such code-torsional provisions to buildings with set-back using rigid as well as flexible diaphragm model. Response of a number of set-back systems computed through ELF with static torsional provisions is compared to that by response spectrum based procedure. Influence of infill wall with a range of opening is also investigated. Results of comprehensive parametric studies suggest that the ELF may, with rational engineering judgment, be used for practical purposes taking some care of the surroundings of the setback for stiff systems in particular.

Keywords

References

  1. ASCE 7 (2005), Minimum design loads for buildings and other structures, American Society of Civil Engineers.
  2. Aranda, G.R. (1984), "Ductility demands for R/C frames irregular in elevation", Proceedings of the Eighth World Conference on Earthquake Engineering, SanFran cisco, U.S.A., 4, 559-566.
  3. Athanassiadou, C.J. (2008), "Seismic performance of R/C plane frames irregular in elevation", Eng. Struct., 30, 1250-1261. https://doi.org/10.1016/j.engstruct.2007.07.015
  4. Al-Ali, A.A.K. and Krawinkler, H. (1998), Effects of Vertical Irregularities on Seismic Behavior of Building Structures, The John A. Blume Earthquake Engineering Center, Dept. of Civil and Environmental Engineering, Stanford University, Stanford, U.S.A, Report No. 130.
  5. Asteris P.G. (2003), "Lateral stiffness of brick masonry infilled plane frames", J. Struct. Eng., 129, 1071-1079. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:8(1071)
  6. Basu, D. and Jain, S.K. (2004), "Seismic analysis of asymmetric buildings with flexible floor diaphragms", J. Struct. Eng., ASCE, 130(8), 1169-1176. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:8(1169)
  7. Basu, D. and Jain, S.K. (2006), "Alternative method to locate centre of rigidity in asymmetric buildings", Earthq. Eng. Struct. Dynamics, 36, 965-973.
  8. Basu, D. and Gopalakrishnan, N. (2008), "Analysis for preliminary design of a class of torsionally coupled buildings with horizontal setbacks", Eng. Struct., 30, 1272-1291. https://doi.org/10.1016/j.engstruct.2007.07.013
  9. Cheung, V.W.T. and Tso, W.K. (1986), "Eccentricity in irregular multistorey building", Canadian J. Civil Eng., 13(1), 46-52. https://doi.org/10.1139/l86-007
  10. Cheung, V.W.T. and Tso, W.K. (1987), "Lateral Load analysis for buildings with setback", J. Struct. Eng., 113(2), 209-227. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:2(209)
  11. Chopra, A.K. (2007), Dynamics of Structures: Theory and Applications to Earthquake Engineering, Pearson Education Inc and Dorling Kindersley Publishing Inc.
  12. Das, S. and Nau, J.M. (2003), "Seismic design aspects of vertically irregular reinforced concrete buildings", Earthq. Spectra, 19(3), 455-477. https://doi.org/10.1193/1.1595650
  13. Eurocode 8 (2004), Design of structures for earthquake resistance, part-1: general rules, seismic actions and rules for buildings, European Committee for Standardization (CEN), Brussels.
  14. ETABS, Integrated software for structural analysis and design, Version V9.7., Computers & Structures, Inc, Berkeley, California.
  15. FEMA 306 (1998), Evaluation of earthquake damaged concrete and masonry wall building, Federal Emergency Management Agency, Washington DC.
  16. Goel, R.K. and Chopra, A.K. (1993), "Seismic code analysis of buildings without locating centres of rigidity", J. Struct. Eng. ASCE, 119(10), 3039-3055. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:10(3039)
  17. Goel, R.K. and Chopra, A.K. (1998), "Period formulas for moment-resisting frame buildings", J. Struct. Eng. ASCE, 123(11), 1454-1461.
  18. Harasimowicz, A.P. and Goel, R.K. (1998), "Seismic code analysis of multi-storey asymmetric buildings", Earthq. Eng. Struct. D., 27(2), 173-185. https://doi.org/10.1002/(SICI)1096-9845(199802)27:2<173::AID-EQE724>3.0.CO;2-W
  19. Humar, J.L. and Wright, E.W. (1977), "Earthquake response of steel-framed multistorey buildings with setbacks", Earthq. Eng. Struct. D., 5(1), 15-39. https://doi.org/10.1002/eqe.4290050103
  20. Humar, J.L. (1984), "Design for seismic torsional forces", Can. J. Civil Eng., 12(2), 150-163.
  21. Hejal, R. and Chopra, A.K. (1987), Earthquake response of torsionally-coupled buildings, University of California, Berkeley, Report No. UCB/EERC-87/20.
  22. IS 1893-1984 (2002), Indian standard criteria for earthquake resistant design of structures, Bureau of Indian Standards, New Delhi, India.
  23. International Association for Earthquake Engineering (1997), Regulations for seismic design - A world list, IAEE, Tokyo.
  24. International Conference of Building Officials (1997), Uniform building Code; 1997 edition, Whittier, California.
  25. International Code council (2003), "International building code; 2003 edition", ICC, Falls Church, Va.
  26. Jiang, W., Hutchinson, G.L. and Chandler, A.M. (1993), "Definitions of static eccentricity for design of asymmetric shear buildings", Eng. Struct., 15(3), 167-178. https://doi.org/10.1016/0141-0296(93)90051-5
  27. Karavasilis, T.L. Bazeos, N. and Beskos, D.E. (2008), "Seismic response of plane steel MRF with setbacks: estimation of inelastic deformation demands", Construct. Steel Struct., 64, 644 - 654. https://doi.org/10.1016/j.jcsr.2007.12.002
  28. Kappos, A.J and Scott, S.G. (1998), "Seismic assessment of an R/C building with setbacks using nonlinear static and dynamic analysis procedures. In: Booth, editor. Seismic design practice into the next century", Rotterdam: Balkema.
  29. Kose, M.M. (2009), "Parameters affecting the fundamental period of RC buildings with infill walls", Eng. Struct., 31, 93-102. https://doi.org/10.1016/j.engstruct.2008.07.017
  30. Kusumastuti, D., Reinhorn, A.M. and Rutenberg, A. (1998), A versatile experimentation model for study of structures near collapse applied to seismic evaluation of irregular structures, Technical Report MCEER-05-0002.
  31. Makarios, T. and Anastassiadis, A. (1998), "Real and fictitious elastic axes of multi-storey buildings: theory", Struct. Design Tall Build., 7(1), 33-55. https://doi.org/10.1002/(SICI)1099-1794(199803)7:1<33::AID-TAL95>3.0.CO;2-D
  32. Mahato, S., Chakraborty, P. and Roy, R. (2012), "Uncertainty of code-torsional provisions to mitigate seismic hazards of buildings with setback", Proceedings of the Int. Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM).
  33. Mahato, S. (2012), Applicability of codal provisions to regulate seismic torsion: multistory buildings with setback, M.E. thesis, Department of Civil Engineering, Bengal Engineering and Science University, Shibpur.
  34. Moehle, J.P. and Alarcon, L.F. (1986), "Seismic analysis methods for irregular buildings", J. Struct. Eng., ASCE, 112(1), 35-52. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:1(35)
  35. Mazzolani, F.M and Piluso, V. (1996), Theory and design of seismic resistant steel frames, FN & SPON an Imprint of Chapman & Hall, London, New York.
  36. Mainstone, R.J. and Weeks, G.A. (1970), "The influences of bounding frame on the racking stiffness and strength of brick walls", Proceedings of the 2nd international brick masonry conference.
  37. Mainstone, R.J. (1971), On the stiffness and strength of infilled frames, ProcInst Civil Eng Sup; 57-90.
  38. National University of Mexico (1990), "Design manual for earthquake engineering to the construction regulations for the Federal District of Mexico City".
  39. New Zealand standard NZS 4203 (1984), "Code of practice for general structural design loadings for buildings", Standards Assoc. of New Zealand, Willington, New Zealand.
  40. National Research Council of Canada (1990), National building code of Canada, Associate Committee on the NationalBuilding Code, Ottawa, Ontario.
  41. Paulay, T. (2001), "Some design principles relevant to torsional phenomena in ductile buildings", J. Earthq. Engg, 5(3), 273-308.
  42. Priestley, M.J.N., Calvi, G.M. and Kowalsky, M.J. (2007), Displacement-based seismic design of structures, IUSS PRESS, Pavia, Italy.
  43. Pinto, D. and Costa, A.G. (1995), "Influence of vertical irregularities on seismic response of buildings", Proceeding of the 10th European Conf. on Earthquake Engineering, Rotterdam, A.A. Balkema.
  44. Poole, R.A. (1977), "Analysis for torsion employing provisions of NZRS 4203 1974", Bull. New Zealand Soc. Earthq. Eng., 10(4), 219-225.
  45. Riddell, R. and Vasquez, J. (1984), "Existence of centres of resistance and torsional uncoupling of earthquake response of buildings", Proceeding of the 8th World Conf. on Earthquake Eng., 4, 187-194.
  46. Romao, X., Costa, A. and Delgado, R. (2004), "Seismic behavior of reinforced concrete frames with setbacks", Proceeding of the 13th world conference on earthquake engineering, 2443.
  47. Sarkar, P., Prasad, M.A. and Menon, D. (2010), "Vertical geometric irregularity in stepped building frames", Eng. Struct., 32, 2175-2182. https://doi.org/10.1016/j.engstruct.2010.03.020
  48. Stafford Smith, B. (1962), "Lateral stiffness of infilled frames", J.Struct. Eng. ASCE, 88, 183-193.
  49. Stafford Smith, B. and Carter, C. (1969), "A method of analysis for infilled frames", ProcInst Civil Eng., 44, 31-48. https://doi.org/10.1680/iicep.1969.7290
  50. SAP (2000). Integrated software for structural analysis and design, Version 14.0., Computers & Structures, Inc., Berkeley, California.
  51. Soni, D.P. and Mistri, B.B. (2006), "Qualitative review of seismic response vertically irregular building frames", J. Earthq. Tech., 43(4), 121-132.
  52. Shahrooz, B.M. and Moehle, J.P. (1990), "Seismic response and design of setback buildings", J. Struct. Eng., ASCE, 116(5), 1423-1439. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:5(1423)
  53. Smith, B.S. and Vezina, S. (1985), "Evaluation of centres of resistance of multistorey building structures", Proceeding of the Institution of Civil Engineers, 79(4), Part 2, 623-635. https://doi.org/10.1680/iicep.1985.761
  54. Tremblay, R. and Poncet, L. (2005), "Seismic performance of concentrically braced steel frames in multistory buildings with mass irregularity", J. Struct. Eng., 131,1363-1375 https://doi.org/10.1061/(ASCE)0733-9445(2005)131:9(1363)
  55. Tso, W.K. (1990), "Static eccentricity concept for torsional moment estimations", J. Struct. Eng. ASCE, 116(5), 1199-1212. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:5(1199)
  56. User's Guide (1995) NBC 1995 structural commentaries (Part 4), National Research Council of Canada, Ottawa.
  57. Wood, S.L. (1986), "Experiments to study the earthquake response of reinforced concrete frames with setbacks", Ph.D. Thesis, Univ. of Illinois, Urbana, 111.
  58. Wood, S.L. (1992), "Seismic response of RC frames with irregular profiles", J. Struct. Eng. ASCE, 118(2), 545-566. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:2(545)
  59. Wong, C.M. and Tso, W.K. (1994), "Seismic loading for buildings with setbacks", Can. J. Civil Eng., 21(5), 863-871. https://doi.org/10.1139/l94-092

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