Skip to main content
Log in

Nonlinear analysis of RC frames considering shear behaviour of members under varying axial load

  • Original Research Paper
  • Published:
Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

In this paper, the role of shear failure in the seismic behaviour of reinforced concrete structures has been investigated. In current practice, the effects of shear on beams and columns are usually neglected in nonlinear analysis, which is carried out based on the flexural behaviour of each element. In such analyses, only the flexural behaviour of the member is considered, while the experimental results confirmed the possibility of other modes failure prior to ultimate flexural capacity. Also, it is now generally accepted that axial load plays a dominant role in evaluating the seismic behaviour of RC columns. However columns, especially the exterior ones, can be subjected to variable axial loads depending on the lateral loads. In this study, a numerical model including rotational springs, was developed to simulate the effects of shear for beams and columns based on the material failure mechanism. Moreover, a procedure was recommended to take into account the effects of the variations of axial load on RC columns. In order to verify the proposed model for columns, the obtained results of the analytical analysis were compared to experimental results. The results predicted by the proposed model were in good agreement with the experimental tests. In addition, to evaluate the performance of the proposed model at structural level, two RC frames with various failure modes have been investigated and the results confirmed the ability of the model in predicting the inelastic behaviour of the frame, which can provide an alternative method in current practice. Moreover, a parametric analysis were carried out in order to highlight the effect of the variations of axial load on nonlinear response of reinforced concrete columns.

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

Similar content being viewed by others

References

  • Aboutaha RS, Engelhardt MD, Jirsa JO, Kreger ME (1999) Rehabilitation of shear critical concrete columns by use of rectangular steel jackets. Am Conc Inst ACI Struct J 96(1):68–78

    Google Scholar 

  • Abrams DP (1987) Influence of axial force variations of flexural behavior of reinforced concrete columns. ACI Struct J 84(3):246–254

    Google Scholar 

  • American Society of Civil Engineering (ASCE) (2000) Prestandard and commentary for the seismic rehabilitation of buildings (FEMA-356). Federal Emergency Management Agency, Washington

    Google Scholar 

  • Ang BG, Priestley MJN, Paulay T (1989) Seismic shear strength of circular reinforced concrete columns. ACI Struct J 86(1):45–59

    Google Scholar 

  • Applied Technology Council (ATC 32) (1996) Improved seismic design criteria for California bridges: provisional recommendations. Redwood City, CA

  • Aschheim M, Moehle JP (1992) Shear strength and deformability of RC bridge columns subjected to inelastic cyclic displacements. Report No. UCB/EERC-92/04, Earthquake Engineering Research Center, University of California at Berkeley, Berkeley, CA

  • Baradaran Shoraka M (2013) Collapse assessment of concrete buildings: an application to non-ductile reinforced concrete moment frames. Ph.D. dissertation, University of British Columbia, Canada

  • Berry MP, Eberhard MO (2005) Practical performance model for bar buckling. J Struct Eng 131(7):1060–1070

    Article  Google Scholar 

  • Chen WF (1982) Plasticity in reinforced concrete. McGraw-Hill, New York, p 474

    Google Scholar 

  • Colajanni P, Recupero A, Spinella N (2015) Shear strength degradation due to flexural ductility demand in circular RC columns. Bull Earthq Eng 13(6):1795–1807

    Article  Google Scholar 

  • Computer and Structures Inc (2008) SAP2000 analysis references, Berkeley, California

  • Duong KV, Sheikh SA, Vecchio FJ (2007) Seismic behavior of shear-critical reinforced concrete frame: experimental investigation. ACI Struct J 104(3):304–313

    Google Scholar 

  • ElMandooh Galal K, Ghobarah A (2003) Flexural and shear hysteretic behaviour of reinforced concrete columns with variable axial load. Eng Struct 25(23):1353–1367

    Article  Google Scholar 

  • Elwood KJ (2004) Modelling failures in existing reinforced concrete columns. Can J Civ Eng 31(5):846–859

    Article  Google Scholar 

  • Elwood KJ, Moehle JP (2003) Shake table tests and analytical studies on the gravity load collapse of reinforced concrete frames. Report no. PEER 2003/01. Pacific Earthquake Engineering Research Center

  • Elwood KJ, Moehle JP (2005) Axial capacity model for shear-damaged columns. ACI Struct J 102(4):578–587

    Google Scholar 

  • Gill WD, Park R, Priestley MJN (1979) Ductility of rectangular reinforced concrete columns with axial load. Report 79-1, Department of Civil Engineering, University of Canterbury, Christchurch, New Zealand

  • Guner S, Vecchio FJ (2011) Analysis of shear-critical reinforced concrete plane frame elements under cyclic loading. J Struct Eng 137(8):834–843

    Article  Google Scholar 

  • Ho JCM, Pam HJ (2003) Inelastic design of low-axially loaded high-strength reinforced concrete columns. Eng Struct 25:1083–1096

    Article  Google Scholar 

  • Kreger ME, Linbeck L (1986) Behaviour of RC columns subjected to lateral and axial load reversals. In: Proceedings of the third national conference on earthquake engineering, Charleston, South Carolina, USA, vol 2, pp 1475–1486

  • Lee J-Y, Watanabe F (2003) Predicting the longitudinal axial strain in the plastic hinge regions of reinforced concrete beams subjected to reversed cyclic loading. Eng Struct 25:927–939

    Article  Google Scholar 

  • Li KN, Aoyama H, Otani S (1988) Reinforced concrete columns under varying axial load and bi-directional lateral load reversals. In: Proceedings of ninth world conference on earthquake engineering, Tokyo-Kyoto, Japan, vol 8, pp 537–542

  • Lynn A (2001) Seismic evaluation of existing reinforced concrete building columns. Ph.D., dissertation, University of California at Berkeley, Berkley, CA

  • MacGregor JG, Sozen MA, Siess CP (1960) Strength and behavior of prestressed concrete beams with web reinforcement. University of Illinois Civil Engineering Studies, Structural Research Series 210, Urbana

  • Mander JB, Priestley MJN, Park R (1988) Theoretical stress–strain behavior of confined concrete. J Struct Eng 114(8):1804–1826

    Article  Google Scholar 

  • Matchulat L (2009) Mitigation of collapse risk in reinforced concrete buildings. M.S., thesis, University of Kansas, Lawrence, KS

  • Moharrami M, Koutromanos I, Panagiotou M, Girgin SC (2015) Analysis of shear-dominated RC columns using the nonlinear truss analogy. Earthq Eng Struct Dyn 44:677–694

    Article  Google Scholar 

  • Moretti M, Tassios TP (2007) Behaviour of short columns subjected to cyclic shear displacements: experimental results. Eng Struct 29:2018–2029

    Article  Google Scholar 

  • Mullapudi TR, Ayoub A (2010) Modeling of the seismic behavior of shear-critical reinforced concrete columns. Eng Struct 32:3601–3615

    Article  Google Scholar 

  • Niroomandi A, Maheri A, Maheri MR, Mahini SS (2010) Seismic performance of ordinary RC frames retrofitted at joints by FRP sheets. Eng Struct 32(8):2326–2336

    Article  Google Scholar 

  • Niroomandi A, Najafgholipour MA, Ronagh HR (2014) Numerical investigation of the affecting parameters on the shear failure of Nonductile RC exterior joints. Eng Fail Anal 46:62–75

    Article  Google Scholar 

  • Niroomandi A, Pampanin S, Dhakal R, Soleymani Ashtiani M (2015) Comparison of alternative assessment procedures to predict seismic performance of RC columns. In: Proceedings of tenth Pacific conference on earthquake engineering, Sydney, Australia

  • Ousalem H, Kabeyasawa T, Tasai A, Ohsugi Y (2002) Experimental study on seismic behavior of reinforced concrete columns under constant and variable axial loadings. In: Proceedings of the annual conference of Japan concrete institute, Tsukuba, Japan, vol 24, no 2, pp 229–234

  • Ousalem H, Kabeyasawa T, Tasai A, Iwamoto J (2003) Effect of hysteretic reversals on lateral and axial capacities of reinforced concrete columns. In: Proceedings of the annual conference of Japan concrete institute, Kyoto, Japan, vol 25, no 2, pp 367–72

  • Park H, Choi K, Wight JK (2006) Strain-based shear strength model for slender beams without web reinforcement. ACI Struct J 103(6):783–793

    Google Scholar 

  • Park H, Yu E, Choi K (2012) Shear-strength degradation model for RC columns subjected to cyclic loading. Eng Struct 34:187–197

    Article  Google Scholar 

  • Paulay T, Priestley MJN (1992) Seismic design of reinforced concrete and masonry buildings. Wiley, New York

    Book  Google Scholar 

  • Priestley MJN, Verma R, Xiao Y (1994) Seismic shear strength of reinforced concrete columns. J Struct Eng 120(8):2310–2329

    Article  Google Scholar 

  • Priestley MJN, Seible F, Calvi GM (1996) Seismic design and retrofit of bridges. Wiley, New York

    Book  Google Scholar 

  • Saadeghvaziri MA, Foutch DA (1990) Behavior of RC columns under non proportionally varying axial load. J Struct Eng 116(7):1835–1856

    Article  Google Scholar 

  • Sezen H (2002) Seismic behavior and modeling of reinforced concrete building columns. Ph.D., dissertation, University of California at Berkeley, Berkley, CA

  • Sezen H, Moehle JP (2002) Seismic behavior of shear-critical reinforced concrete building columns. In: Seventh US national conference on earthquake engineering. Earthquake Engineering Research Institute, Boston, MA

  • Sezen H, Moehle JP (2004) Shear strength model for lightly reinforced concrete columns. J Struct Eng 130(11):1703–1962

    Article  Google Scholar 

  • Shayanfar J, Akbarzadeh BH (2016) Numerical model to simulate shear behaviour of RC joints and columns. Comput Concr. doi:10.12989/cac.2016.18.6.000

    Google Scholar 

  • Shayanfar J, Akbarzadeh BH, Niroomandi A (2016) A proposed model for predicting nonlinear behavior of RC joints under seismic loads. Mater Des 95:563–579

    Article  Google Scholar 

  • Taucer F, Spacone E, Filippou FC (1991) A fiber beam-column element for seismic response analysis of reinforced concrete structures. Report no UCB/EERC 91-17. University of California, Berkeley, CA

  • Vecchio FJ, Emara MB (1992) Shear deformations in reinforced concrete frames. ACI Struct J 89(1):46–56

    Google Scholar 

  • Willams MS, Sexsmith RG (1995) Seismic damage indices for concrete structures: a state-of-the-art review. Earthq Spectra 11(2):319–349

    Article  Google Scholar 

  • Wong YL, Paulay T, Priestley MJN (1993) Response of circular reinforced concrete beams to multi-directional seismic attack. ACI Struct J 90(2):180–191

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Akbarzadeh Bengar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shayanfar, J., Akbarzadeh Bengar, H. Nonlinear analysis of RC frames considering shear behaviour of members under varying axial load. Bull Earthquake Eng 15, 2055–2078 (2017). https://doi.org/10.1007/s10518-016-0060-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-016-0060-z

Keywords

Navigation