Skip to main content
Log in

Shear strength degradation due to flexural ductility demand in circular RC columns

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

Abstract

An analytical model was developed to estimate the shear-strength degradation and the residual capacity of circular reinforced concrete (RC) columns subjected to seismic action. The proposed model is an upgrade of a previously proposed model for axial force \(N\), bending moment \(M\) and shear force \(V\) (\(N\)\(M\)\(V\)) interaction domain evaluation for rectangular and circular cross-section RC elements subjected to static loading. The model was extended to the case of circular cross-sections subjected to seismic actions with limitation of the range of variability of the deviation angle between the directions of the stress fields and the crack inclinations, as a function of the amplitude of the flexural ductility demand. Numerical evaluation of resistance domains for circular RC columns having the current structural configuration, like bridge piers, highlights the increment in the risk level induced by shear strength degradation due to flexural ductility demand.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Similar content being viewed by others

References

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

    Google Scholar 

  • Architectural Institute of Japan (1994) AIJ structural design guidelines for reinforced concrete buildings. Tokyo

  • Bach F, Nielsen MP, Braestrup MW (1978) Rational analysis of shear in reinforced concrete beams. In: IABSE proceedings P-17/78, pp 1–16

  • Bairan Garcia JM, Mari Bernat AR (2006) Coupled model for the non-linear analysis of anisotropic sections subjected to general 3D loading. Part 1: theoretical formulation. Comput Struct 84(31–32):2254–2263

    Article  Google Scholar 

  • Bertagnoli G, Mancini G, Recupero A, Spinella N (2011) Rotating compression field model for reinforced concrete beams under prevalent shear actions. Struct Concr 12(3):178–186

    Article  Google Scholar 

  • CEB-FIP (1993) Model code for concrete structures for buildings. Comitè Eurointernational du Bèton, Lausanne

    Google Scholar 

  • Colajanni P, La Mendola L, Priolo S, Spinella N (2008a) Experimental tests and FEM model for SFRC beams under flexural and shear loads. 2008 seismic engineering international conference commemorating the 1908 Messina and Reggio Calabria earthquake, MERCEA 2008, vol 1020, no 1. Reggio Calabria, Italy, pp 872–879, 8–11 July 2008

  • Colajanni P., Recupero A., Spinella N. (2008b) Shear strength prediction by modified plasticity theory for SFRC beams. In: 2008 seismic engineering international conference commemorating the 1908 Messina and Reggio Calabria earthquake, MERCEA 2008, vol 1020, no 1. Reggio Calabria, Italy, pp 888–895, 8–11 July 2008

  • Colajanni P, Recupero A, Spinella N (2012) Generalization of shear truss model to the case of SFRC beams with stirrups. Comput Concr 9(3):227–244

    Article  Google Scholar 

  • Colajanni P, Recupero A, Spinella N (2014) Design procedure for prestressed concrete beams. Comput Concr 13(2):235–253

    Article  Google Scholar 

  • Cucchiara C, Fossetti M, Papia M (2012) Steel fibre and transverse reinforcement effects on the behaviour of high strength concrete beams. Struct Eng Mech 42(4):551–570

    Article  Google Scholar 

  • Eurocode No. 2 (1992) Design of concrete structures: Part. 1: General rules and rules for buildings. UNI ENV 1992-1-1

  • Martin-Pérez B, Pantazopoulou SJ (1998) Mechanics of concrete participation in cyclic shear resistance of reinforced concrete. ASCE J Struct Eng 124(6):633–641

    Article  Google Scholar 

  • Martin-Pérez B, Pantazopoulou SJ (2001) Effect of bond, aggregate interlock and dowel action on the shear strength degradation of reinforced concrete. Eng Struct 23:214–227

    Article  Google Scholar 

  • Park YJ, Ang AHS (1985) Mechanistic seismic damage model for reinforced concrete. J Struct Eng ASCE 111(4):722–739

    Article  Google Scholar 

  • Priestley MJN, Benzoni G (1996) Seismic performance of circular columns with low longitudinal reinforcement ratios. ACI Struct J 93(4):474–485

    Google Scholar 

  • Recupero A, D’Aveni A, Ghersi A (2003) N-M-V interaction domains for box I-shaped reinforced concrete members. ACI Struct J 100(1):113–119

    Google Scholar 

  • Recupero A, D’Aveni A, Ghersi A (2005) M-V interaction domains for prestressed concrete beams. ASCE J Struct Eng 131(9):1413–1421

    Article  Google Scholar 

  • Rossi PP, Recupero A (2013) Ultimate strength of reinforced concrete circular members subjected to axial force, bending moment and shear force. ASCE J Struct Eng 139(6):915–928

    Article  Google Scholar 

  • Schwartz J (2002) Stress field design of reinforced concrete members with circular cross sections. Struct Eng Int 12(1):36–39

  • Spinella N, Colajanni P, La Mendola L (2012) Nonlinear analysis of beams reinforced in shear with stirrups and steel fibers. ACI Struct J 109(1):53–64

    Google Scholar 

  • Spinella N, Colajanni P, Recupero A (2010) Simple plastic model for shear critical SFRC beams. ASCE J Struct Eng 136(4):390–400

    Article  Google Scholar 

  • Spinella N (2013) Shear strength of full-scale steel fibre-reinforced concrete beams without stirrups. Comput Concr 11(5):365–382

    Article  Google Scholar 

  • Turmo J, Ramos G, Aparicio AC (2009) Shear truss analogy for concrete members of solid and hollow circular cross section. Eng Struct 31(2):455–465

    Article  Google Scholar 

  • Vecchio FJ, Collins MP (1986) The modified compression field theory for reinforced concrete elements subjected to shear. ACI Struct J 83(2):59–61

    Google Scholar 

  • Watanabe F, Ichinose T (1991) Strength and ductility design of RC members subjected to combined bending and shear. Concrete shear in earthquakes. University of Houston, Houston

    Google Scholar 

Download references

Acknowledgments

This work was carried out within the 2014–2017 Research Project “DPC–ReLUIS (Dipartimento Protezione Civile—Rete dei Laboratori Universitari di Ingegneria Sismica)”, Linea di Ricerca—Cemento Armato. The related financial support was greatly appreciated.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nino Spinella.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Colajanni, P., Recupero, A. & Spinella, N. Shear strength degradation due to flexural ductility demand in circular RC columns. Bull Earthquake Eng 13, 1795–1807 (2015). https://doi.org/10.1007/s10518-014-9691-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-014-9691-0

Keywords

Navigation