Abstract
Based on traditional Nielsen model (Nielsen, Limit analysis and concrete plasticity, Prentice-Hall, Englewood Cliffs 1984), a unified failure model on uniformly reinforced concrete annular section members under combined forces of tension, compression, bending, shear and torsion is introduced. The advantages of this model are that the dowel action of reinforcements is considered and a reasonable adjustment on shear carrying capacity of concrete at failure surface is introduced, which should vary with the normal stress at the member failure surface. The theoretical results of this model are compared with a group of experimental results of annular section members. The comparison has verified that the advanced model is more accurate and feasible to be used for design of annular section members.
Similar content being viewed by others
Abbreviations
- t :
-
The thickness of uniformly reinforced concrete slab
- A sx , A sy :
-
Areas of reinforcing bars per unit of length in directions of x and y
- σ x , σ y , xy :
-
Components of the stress tensor
- σ s1, τ s1 :
-
The normal stress and shear stress of reinforcements in x-axis
- σ s2, τ s2 :
-
The normal stress and shear stress of bars in y-axis
- σ cx , σ cy , τ cxy :
-
The stresses of the concrete
- f c :
-
The compressive strength of the concrete
- f y :
-
The yielding stress of reinforcements
References
Hsu TTC (1996) Toward a unified nomenclature for reinforced-concrete theory. J Struct Eng 122(3):275–283
Hsu TTC (1988) Softened truss model theory for shear and torsion. ACI Struct J 85(6):624–635
Hsu TTC (1998) Unified approach to shear analysis and design. Cem Concr Compos 20(6):419–435
Mohr S, Bairán JM, Marí AR (2010) A frame element model for the analysis of reinforced concrete structures under shear and bending. Eng Struct 32(12):3936–3954
Ceresa P, Petrini L, Pinho R (2007) Flexure-shear fiber beam-column elements for modeling frame structures under seismic loading—state of the art. J Earthq Eng 11(S1):46–88
Guan P, Xu Z, Wang B (2002) Shear capacity analysis methods of R.C members. World Earthq Eng 18(3):95–101
Elwood KJ (2004) Modelling failures in existing reinforced concrete columns. Can J Civ Eng 31(5):846–859
Mostafaei H, Vecchio FJ (2008) Uniaxial shear-flexure model for reinforced concrete elements. J Struct Eng 134(9):1538–1547
Vecchio FJ, Collins MP (1988) Predicting the response of reinforced concrete beams subjected to shear using the modified compression field theory. ACI Struct J 85(3):258–268
Hsu TTC (1993) Unified theory of reinforced concrete. CRC Press, Boca Raton
Pang X-B, Hsu TTC (1996) Fixed angle softened truss model for reinforced concrete. ACI Struct J 93(2):197–207
Navarro J, Miguel P, Fernández MA (2007) A 3D numerical model for reinforced and prestressed concrete elements subjected to combined axial, bending, shear and torsion loading. Eng Struct 29(12):3404–3419
Ferreira D, Bairán J, Marí A (2013) Numerical simulation of shear-strengthened RC beams. Eng Struct 46:359–374
Zhu B (1998) Finite element method theory and applications. China Water Power Press, Beijing
Liu X (2007) The development and prospect of structural engineering. China Architecture & Building Press, Beijing
Chen WF (2004) Elasticity and plasticity. China Architecture & Building Press, Beijing
Nielsen MP (1984) Limit analysis and concrete plasticity. Prentice-Hall, Englewood Cliffs
Jing-feng Huo (2004) Unified failure expression on the reinforced concrete members. Shanghai Jiao Tong University, Shanghai
Hua-xun Luo, Xi-la Liu (2011) Unified failure model on the reinforced concrete members with box section. Sichuan Build Sci 37(1):1–6
Hua-xun Luo, Xi-la Liu (2012) Unified failure model on the reinforced concrete members with annular section. J Shanghai Jiaotong Univ 46(1):152–157
Chen WF (2004) Constitutive equations for materials of concrete and soil. China Architecture & Building Press, Beijing
Zhen Huang, Xi-la Liu, Guang Yang (2006) Unified expression for failure of reinforced concrete members in bridge. J Zhejiang Univ Sci A 7(3):383–390
Zhi-tao LV, Ming-hua Zhou, You-wen Chen (1980) An experimental study of shear strength of reinforced concrete members with ring-section in bending. J Nanjing Inst Technol 3:26–31
Zhi-tao LV, Ping-fu SHI, Yan-qin Zhou (1995) Experimental research on shear strength of reinforced concrete beams with circular and ring section. J Build Struct 16(3):13–20
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Luo, H.X., Liu, X.L. Advanced unified failure model on uniformly reinforced concrete annular section members. Mater Struct 48, 1125–1133 (2015). https://doi.org/10.1617/s11527-013-0219-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1617/s11527-013-0219-x