DOI QR코드

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Natural time period equations for moment resisting reinforced concrete structures comprising hollow sections

  • Prajapati, Satya Sundar (School of Civil and Environmental Engineering, Faculty of Engineering and Information Technology, University of Technology Sydney (UTS)) ;
  • Far, Harry (School of Civil and Environmental Engineering, Faculty of Engineering and Information Technology, University of Technology Sydney (UTS)) ;
  • Aghayarzadeh, Mehdi (School of Civil and Environmental Engineering, Faculty of Engineering and Information Technology, University of Technology Sydney (UTS))
  • 투고 : 2020.04.20
  • 심사 : 2020.09.25
  • 발행 : 2020.10.25

초록

A precise estimation of the natural time period of buildings improves design quality, causes a significant reduction of the buildings' weight, and eventually leads to a cost-effective design. In this study, in order to optimise the reinforced concrete frames design, some symmetrical and unsymmetrical buildings composed of solid and hollow members have been simulated using finite element software SAP 2000. In numerical models, different parameters such as overturning moment, story drift, deflection, base reactions, and stiffness of the buildings were investigated and the results have been compared with strength and serviceability limit criteria proposed by Australian Standard (AS 3600 2018). Comparing the results of the numerical modelling with existing standards and performing a cost analysis proved the merits of hollow box sections compared to solid sections. Finally, based on numerical simulation results, two equations for natural time period of moment resisting reinforced concrete buildings have been presented. Both derived equations reflected higher degree of correlation and reliability with different complexities of building when compared with existing standards and relationships provided by other scholars. Therefore, these equations will assist practicing engineers to predict elastic behaivour of structures more precisely.

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참고문헌

  1. Alnuaimi, A., Al-Jabri, K. and Hago, A. (2007), "Comparison between solid and hollow reinforced concrete beams", Mater. Struct., 41(2), 269-286. https://doi.org/10.1617/s11527-007-9237-x.
  2. Amanat, K. and Hoque, E. (2006), "A rationale for determining the natural period of RC building frames having infill", Eng. Struct., 28(4), 495-502. https://www.sciencedirect.com/science/article/abs/pii/S0141029605003226?via%3Dihub. https://doi.org/10.1016/j.engstruct.2005.09.004
  3. AS 1170.1 (2002), Australian/New Zealand Standard and supplement, Structural Design Actions-Part 1: Permanent, Imposed and Other Actions, Standard Australia, Sydney.
  4. AS 1170.4 (2007), Australian/New Zealand Standard and supplement, Structural Design Actions-Part 4: Earthquake actions in Australia, Standard Australia, Sydney.
  5. AS 3600 (2018), Concrete Structures, Standards Australia, Sydney, 269.
  6. Badkoubeh, A. and Massumi, A. (2017), "Fundamental period of vibration for seismic design of concrete shear wall buildings", Scientia Iranica, 24(3), 1010-1006. https://doi.org/10.24200/SCI.2017.4084.
  7. Barghi, M. and Azadbakht, M. (2009), "Evaluating the effect of masonry infills on the natural period of buildings with moment-resisting frame", Struct. Des. Tall Spec. Build., 20(6), 649-660. https://doi.org/10.1002/tal.540.
  8. Chopra, A. and Goel, R. (2000), "Building period formulas for estimating seismic displacements", Earthq. Spectra, 16(2), 533-536. https://doi.org/10.1193/1.1586125
  9. Council, A.T. (1978), "Tentative provisions for the development of seismic regulations for buildings", Report No. ATC3-06, Applied Technology Council, Palo Alto, California.
  10. Crowley, H. and Pinho, R. (2006), "Simplified equations for estimating the period of vibration of existing buildings", The First European Conference on Earthquake Engineering and Seismology, Geneva, Switzerland.
  11. CS (2005), National Building Code of Canada National Research Council of Canada, Ontario, Canada.
  12. CSi (2019), Structure Analysis Program 2000, Version 20, Computer and Structures inc., Berkeley, California.
  13. EN 1993 (2003), Eurocode 3, Design of Steel Structures, Europe.
  14. EN 1998-1 (2003), Eurocode 8, Design of Structures for Earthquake Resistance-Part 1: General Rules, Seismic Actions and Rules for Buildings, Europe.
  15. Erdem, H. (2009), "Nominal moment capacity of box reinforced concrete beams exposed to fire", Turkish J. Eng. Environ., 33, 31-34.
  16. Far, H. (2019a), "Dynamic behaviour of unbraced steel frames resting on soft ground", Steel Constr., 12(2), 135-140. https://doi.org/10.1016/j.jcsr.2017.09.012
  17. Far, H. (2019b), "Advanced computation methods for soil structure interaction analysis of structures resting on soft soils", Int. J. Geotech. Eng., 13(4), 352-359. https://doi.org/10.1080/19386362.2017.1354510.
  18. Far, H. and Flint, D. (2017), "Significance of using isolated footing technique for residential construction on expansive soils", Front. Struct. Civil Eng., 11(1), 123-129. https://doi.org/10.1007/s11709-016-0372-8.
  19. Far, H., Saleh, A. and Firouzianhaji, A. (2017), "A simplified method to determine shear stiffness of thin walled cold formed steel storage rack frames", J. Constr. Steel Res., 138, 799-805. https://doi.org/10.1016/j.jcsr.2017.09.012
  20. FastFormworkHire (2017), Fast Formwork Hire, Fast Formwork Hire, North Gosford, NSW, Australia. http://www.fastformwork.com.au/04price.html.
  21. Fatahi, B. and Tabatabaiefar, H.R. (2014), "Effects of soil plasticity on seismic performance of mid-rise building frames resting on soft soils", Adv. Struct. Eng., 17(10), 1387-1402. https://doi.org/10.1260/1369-4332.17.10.1387.
  22. Fatahi, B., Tabatabaiefar, H.R. and Samali, B. (2011), "Performance based assessment of dynamic soil-structure interaction effects on seismic response of building frame", Proceedings of Georisk 2011 - Geotechnical Risk Assessment & Management (Geotechnical Special Publication No. 224), American Society of Civil Engineers (ASCE), 344-351. https://doi.org/doi:10.1061/41183(418)29.
  23. Gondalia, S., Koshti, U. and Dave, U. (2017), "Behaviour of steel moment resisting frame building using reduced beam section", IUP J. Struct. Eng., 10(2), 26-34.
  24. Han, T., Lim, N., Han, S., Park, J. and Kang, Y. (2008), "Nonlinear concrete model for an internally confined hollow reinforced concrete column", Mag. Concrete Res., 60(6), 429-440. https://doi.org/10.1680/macr.2008.60.6.429.
  25. Hong, L. and Hwang, W. (2000), "Empirical formula for fundamental vibration periods of reinforced concrete buildings in Taiwan", Earthq. Eng. Struct. Dyn., 29, 327-333. https://doi.org/10.1002/(SICI)1096-9845(200003)29:3<327::AID-EQE907>3.0.CO;2-0.
  26. IBM (2019), SPSS Statistics, IBM Knowledge Center, New York, United States.
  27. IS 1893 (Part I) (2002), Concrete Structures, Standard India, New Delhi, India.
  28. Mansoury, B. and Tabatabaiefar, H.R. (2016), "Application of sustainable design principles to increase energy efficiency of existing buildings", Build. Res. J., 6(3), 167-178. https://doi.org/10.2478/brj-2014-0013.
  29. MaterialsLink (2017), How Much Does Concrete Cost?, Materials Link, North Sydney, Australia. .
  30. Nyarko, M., Morie, D. and Draganic, H. (2012), "New direction based (Fundamental) periods of RC frames using genetic algorithms", The 15th World Conference on Earthquake Engineering, Lisboa.
  31. Patel, S., Desai, A. and Patel, V. (2011), "Effect of number of storeys to the natural time period of building", The National Conference on Recent Trends in Engineering and Technology, India.
  32. Pauchari, R. and Meyer, L. (2014), Climate Change 2014: Synthesis Report, Contribution of Working Groups I, II and III to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, IPCC, Geneva, Switzerland.
  33. Samali, B., Fatahi, B. and Tabatabaiefar, H.R. (2011), "Seismic behaviour of concrete moment resisting buildings on soft soil considering soil-structure interaction", Proceedings of the 21st Australasian Conference on the Mechanics of Structures and Materials (ACMSM21), 407-412.
  34. Sangamnerkar, P. and Dubey, K. (2016), "Estimation of a period of vibration of symmetrical reinforced concrete buildings in seismic analysis", IUP J. Struct. Eng., 9(4), 22-36. https://doi.org/10.1016/j.hbrcj.2015.08.001.
  35. Saoula, A., Meftah, S., Mohri, F. and Daya, E. (2016), "Lateral buckling of box beam elements under combined axial and bending loads", J. Constr. Steel Res., 116, 141-155. https://doi.org/10.1016/j.jcsr.2015.09.009
  36. ScottMetals (2019), Steel Bars: Round, Square & Ddformed, Scott Metals, Queensland, Australia. https://www.scottmetals.com.au/bars.
  37. Shin, M., Choi, Y., Sun, C. and Kim, I. (2013), "Shear strength model for reinforced concrete rectangular hollow columns", Eng. Struct., 56, 958-69. https://doi.org/10.1016/j.engstruct.2013.06.015
  38. Tabatabaiefar, H.R. and Clifton, T. (2016), "Significance of considering soil-structure interaction effects on seismic design of unbraced building frames resting on soft", Austra. Geomech. J., 51(1), 55-64. http://hdl.handle.net/10453/53007.
  39. Tabatabaiefar, H.R., Fatahi, B. and Samali, B. (2012), "Finite difference modelling of soil-structure interaction for seismic design of moment resisting building frames", Austra. Geomech. J., 47(3), 113-120. http://hdl.handle.net/10453/22370.
  40. Tabatabaiefar, H.R., Mansoury, B.., Khadivi Zand, M.J. and Potter, D. (2017), "Mechanical properties of sandwich panels constructed from polystyrene/cement mixed cores and thin cement sheet facings", J. Sandw. Struct. Mater., 19(4), 456-481. https://doi.org/10.1177/1099636215621871.
  41. Verderame, G., Lervolino, I. and Manfredi, G. (2010), "Elastic period of sub-standard reinforced concrete moment resisting frame buildings", Bull. Earthq. Eng., 8(4), 955-972. https://doi.org/10.1007/s10518-010-9176-8