Skip to main content
Log in

Load-Path Influence in the Response of RC Buildings Subjected to Biaxial Horizontal Loadings: Numerical Study

  • Research paper
  • Published:
International Journal of Civil Engineering Aims and scope Submit manuscript

Abstract

The study of the reinforced concrete (RC) columns’ response to horizontal loads is of full importance to understand how earthquakes affect the integrity of structures, essentially those already built and especially vulnerable to this type of action, as is the case with many existing buildings on significant seismic activity zones which are not adequately prepared for that eventuality. Consequently, there is also the need to perform a significant number of experimental and numerical studies to understand how much the columns resistance is affected by the horizontal loading path combined with axial load. The present study focus on the comparison between the RC columns response when subjected to uniaxial and biaxial loading through a literature review of the experimental test data results. Additionally, a parametric study was performed to analyze the load-path influence in the columns response. Non-linear static pushover analysis were performed in more than 36 columns with different cross-sections, reinforcement ratios and axial load ratio, performing a total of 1300 analysis. The numerical results will be presented in terms of capacity curves, maximum strength comparison between the uniaxial and the biaxial response and several ratios were also determined to a do a better comparison.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

(adapted from [35])

Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  1. Hajiazizi M, Bavali M, Fakhimi A (2017) Numerical and experimental study of the optimal location of concrete piles in a saturated sandy slope. Int J Civ Eng. doi:10.1007/s40999-017-0155-1

  2. Smarzewski P, Barnat-Hunek D (2017) Property assessment of hybrid fiber-reinforced ultra-high-performance concrete. Int J Civ Eng. doi:10.1007/s40999-017-0145-3

  3. Sadeghi K (2017) nonlinear numerical simulation of reinforced concrete columns under cyclic biaxial bending moment and axial loading. Int J Civ Eng 15:113–124

    Article  Google Scholar 

  4. Ross DA, Yen JR (1986) Interactive design of reinforced concrete columns with biaxial bending. ACI J 83:988–993

    Google Scholar 

  5. Bonet JL, Barros MHFM, Romero ML (2006) Comparative study of analytical and numerical algorithms for designing reinforced concrete sections under biaxial bending. Comput Struct 84:2184–2193

    Article  Google Scholar 

  6. Rodrigues H, Arêde A, Varum H, Costa A (2013) Experimental evaluation of rectangular reinforced concrete column behaviour under biaxial cyclic loading. Earthquake Eng Struct Dynam 42:239–259

    Article  Google Scholar 

  7. Tsuno K, Park R (2004) Experimental study of reinforced concrete bridge piers subjected to bi-directional quasi-static loading. Struct Eng Struct JSCE 21(1):11s–26s

  8. CEB (1996) RC frames under earthquake loading. Lausanne Bull 220

  9. Takizawa H, Aoyama M (1976) Biaxial effects in modelling earthquake response of RC structures. Earthquake Eng Struct Dyn 4:523–552

    Article  Google Scholar 

  10. Otani S, Cheung VWT, Lai SS (1980) Reinforced concrete columns subjected to biaxial lateral load reversals. Presented at the 7th World Conf. on Earthq. Engrg, vol 6, pp 525–532

  11. K. Takiguchi, S. Kokusho, K. Kobayashi, and M. Kimura, “Response of RC column to horizontal bi-directional deflection history,” presented at the Proc. 7th World conference on Earthquake engng, Istanbul, 1980.

  12. Park R, Zahn FA, Falconer TJ (1984) Strength and ductility of reinforced and prestressed concrete columns and piles under seismic loading. Presented at the World Conference on Earthquake Engineering, San Francisco, CA, USA

  13. Low S, Moehle JP (1987) Experimental study of reinforced concrete columns subject to multiaxial cyclic loading. Earthq. Engrg. Res. Center, vol. Rep. No UCB/EERC 87–14, Univ. of California, Berkeley, CA

  14. Li K-N, Aoyana H, Otani S (1988) Reinforced concrete columns under varying axial load and bi-directional lateral load reversals. Presented at the Proceedings of the Ninth World Conference on Earthquake Engineering, Tokyo-Kyoto, Japan

  15. Saatcioglu M, Ozcebe G (1989) Response of reinforced concrete columns to simulated seismic loading. ACI Struct J 86:3–12

    Google Scholar 

  16. Zahn FA, Park R, Priestly MJN (1989) Strength and ductility of square reinforced concrete column sections subjected to biaxial bending. ACI Struct J 86:123–131

    Google Scholar 

  17. Bousias SN, Verzelleti G, Fardis MN, Magonette G (1992) RC columns in cyclic biaxial bending and axial load. Presented at the 10th World Conf. on Earthq. Engrg, Madrid, pp 3041–3046

  18. Kim J-K, Lee S-S (2000) The behaviour of reinforced concrete columns subjected to axial force and biaxial bending. Eng Struct 23:1518–1528

    Article  Google Scholar 

  19. Qiu F, Li W, Pan P, Qian J (2002) Experimental tests on RC columns under biaxial quasi-static loading. Eng Struct 24:419–428

  20. Bechtoula H, Kono S, Watanabe F (2005) Experimental and analytical investigations of seismic performance of cantilever reinforced concrete columns under varying transverse and axial loads. J Asian Archit Build Eng 4:467–474

    Article  Google Scholar 

  21. Kawashima K, Ogimoto H, Hayakawa R, Watanabe G (2006) Effect of bilateral excitation on the seismic performance of reinforced concrete bridge columns. Presented at the 8th US National Confe. on Earthq. Engrg, paper, p 567

  22. Chang S-Y (2010) Experimental studies of reinforced concrete bridge columns under axial load plus biaxial bending. J Struct Eng ASCE 12–25

  23. Rodrigues H, Furtado A, Arêde A (2016) Behavior of rectangular reinforced-concrete columns under biaxial cyclic loading and variable axial loads. J Struct Eng 142

  24. Coelho E (1992) Comportamento sísmico de estruturas em pórtico de betão armado—Avaliação da resposta não-linear histerética. PhD Thesis, IST, Lisbon

  25. Chang S-Y (2010) Experimental studies of reinforced concrete bridge columns under axial load plus biaxial bending. J Struct Eng 12–25

  26. Fardis MN (1991) Member-type models for the nonlinear seismic response of reinforced concrete structures. In: Donea J, jones PM (eds) Experimental and numerical methods in earthquake engineering. Kluwer Academic Publishers, Dordrecht

    Google Scholar 

  27. Clough W, Benuska K, Wilson E (1965) Inelastic earthquake response of tall buildings. Presented at the Proceedings of the Third World Conference on Earthquake Engineering, New Zealand

  28. Sfakianakis MG, Fardis MN (1991) Bounding surface model for cyclic biaxial bending of RC sections. J Eng Mech 117:2748–2769

    Article  Google Scholar 

  29. Galal KM, Ghobarah A (2003) Flexural and shear hysteretic behaviour of RC columns with variable axial load. Eng Struct 25(11):1353–1367

    Article  Google Scholar 

  30. Filippou FC, Fenves GL (2004) Methods of analysis for earthquake-resistant structures. In: Bozorgnia Y, Bertero VV (eds) Earthquake engineering—from engineering seismology to performance-based engineering. Cambridge University Press, Cambridge

    Google Scholar 

  31. Wen YK (1976) Method for random vibration of hysteretic systems. ASCE J Eng Mech Div 102(EM2):249–263

  32. Romão X, Costa A, Delgado R (2004) New model for the inelastic biaxial bending of reinforced concrete columns. In: 13th World Conference on Earthquake Engineering, Vancouver, B.C., Canada,

  33. Marante ME, Flórez-López J (2003) Three-dimensional analysis of reinforced concrete frames based on lumped damage mechanics. Int J Solids Struct 40:5109–5123

    Article  MATH  Google Scholar 

  34. SeismoSoft (2004) SeismoStruc—a computer program for static and dynamic nonlinear analysis of framed structures [online]. http://www.seismosoft.com

  35. Bal IE, Craowley H, Pinho R (2010) Displacement-based earthquake loss assessment: method development and application to Turkish building stock. Rose School, IUSS Press, Research Reporto No. ROSE-2010/02, Pavia, Italy

  36. Calabrese A, Almeida JP, Pinho R (2010) Numerical issues in distributed inelasticity modeling of RC frame elements for seismic analysis.. J Earthquake Eng 14:38–68

    Article  Google Scholar 

  37. Rodrigues H, Varum H, Arêde A, Costa A (2012) A comparative efficiency analysis of different non-linear modelling strategies to simulate the biaxial response of RC columns. Earthquake Eng Eng Vibr 11:553–566

    Article  Google Scholar 

  38. Madas P, Elnashai A (1992) A new passive confinement model for the analysis of concrete structures subjected to cyclic and transient dynamic loading. Earthquake Eng Struct Dynam 21:409–431

    Article  Google Scholar 

  39. Mander JB, Priestley MJN, Park R (1988) Theoretical stress-strain model for confined concrete. J Struct Eng 114:1804–1826

    Article  Google Scholar 

  40. Menegotto M, Pinto P (1973) Method of analysis for cyclically loaded reinforced concrete plane frames including changes in geometry and non-elastic behaviour of elements under combined normal force and bending. Lisbon, Portugal

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hugo Rodrigues.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Furtado, A., Rodrigues, H. & Arêde, A. Load-Path Influence in the Response of RC Buildings Subjected to Biaxial Horizontal Loadings: Numerical Study. Int J Civ Eng 16, 739–755 (2018). https://doi.org/10.1007/s40999-017-0215-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40999-017-0215-6

Keywords

Navigation