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A tension stiffening model for analysis of RC flexural members under service load
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  • Journal title : Computers and Concrete
  • Volume 17, Issue 1,  2016, pp.29-51
  • Publisher : Techno-Press
  • DOI : 10.12989/cac.2016.17.1.029
 Title & Authors
A tension stiffening model for analysis of RC flexural members under service load
Patel, K.A.; Chaudhary, Sandeep; Nagpal, A.K.;
 Abstract
Tension-stiffening is the contribution of concrete between the cracks to carry tensile stresses after cracking in Reinforced Concrete (RC) members. In this paper, a tension-stiffening model has been proposed for computationally efficient nonlinear analysis of RC flexural members subjected to service load. The proposed model has been embedded in a typical cracked span length beam element. The element is visualized to consist of at the most five zones (cracked or uncracked). Closed form expressions for flexibility and stiffness coefficients and end displacements have been obtained for the cracked span length beam element. Further, for use in everyday design, a hybrid analytical-numerical procedure has been developed for nonlinear analysis of RC flexural members using the proposed tension-stiffening model. The procedure yields deflections as well as redistributed bending moments. The proposed model (and developed procedure) has been validated by the comparison with experimental results reported elsewhere and also by comparison with the Finite Element Method (FEM) results. The procedure would lead to drastic reduction in computational time in case of large RC structures.
 Keywords
cracking;finite element method;reinforced concrete;service load;tension stiffening;
 Language
English
 Cited by
1.
An element incorporating cracking for reinforced concrete skeletal structures at service load, Advances in Structural Engineering, 2017, 20, 9, 1257  crossref(new windwow)
2.
An automated computationally efficient two-stage procedure for service load analysis of RC flexural members considering concrete cracking, Engineering with Computers, 2017, 33, 3, 669  crossref(new windwow)
 References
1.
ABAQUS (2011), ABAQUS standard user's manuals, Version 6.11, Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI, USA.

2.
ACI 318 (2005), Building code requirements for structural concrete, American Concrete Institute (ACI) Committee 318, Farmington Hills, MI, USA.

3.
Balakrishnan, S. and Murray, D.W. (1988), "Concrete constitutive model for NLFE analysis of structures", J. Struct. Eng., 114(7), 1449-1466. crossref(new window)

4.
Baskar, K., Shanmugam, N.E. and Thevendran, V. (2002), "Finite-element analysis of steel-concrete composite plate girder", J. Struct. Eng., 128(9), 1158-1168. crossref(new window)

5.
Bischoff, P.H. (2005), "Reevaluation of deflection prediction for concrete beams reinforced with steel and fiber reinforced polymer bars", J. Struct. Eng., 131(5), 752-767. crossref(new window)

6.
Borosnyoi, A. and Balazs, G.L. (2005), "Models for flexural cracking in concrete: the state of the art", Struct. Concrete, 6(2), 53-62. crossref(new window)

7.
CEN-Eurocode 2 (2004), Design of concrete structures-Part 1-1: General rules and rules for buildings, European Standard BS EN 1992-1-1:2004, Brussels.

8.
Cosenza, E. (1990), "Finite element analysis of reinforced concrete elements in a cracked state", Comput. Struct., 36(1), 71-79. crossref(new window)

9.
Dai, J.G., Ueda, T., Sato, Y. and Nagai, K. (2012), "Modeling of tension stiffening behavior in FRPstrengthened RC members based on rigid body spring networks", Comput. Aid. Civil Infrastruct. Eng., 27(6), 406-418. crossref(new window)

10.
Ghali, A. (1993), "Deflection of reinforced concrete members: A critical review", ACI Struct. J., 90(4), 364-373.

11.
Ghali, A., Favre, R. and Elbadry, M. (2002), Concrete structures: Stresses and deformations, 3rd Edition, E and Spon, London, UK.

12.
Ghali, A., Neville, A.M. and Brown, T.G. (2003), Structural analysis: A unified classical and matrix approach, 5th Edition, Spon press, New York, USA.

13.
Gilbert, R.I. (2006), "Discussion of 'Reevaluation of deflection prediction for concrete beams reinforced with steel and fiber reinforced polymer bars' by Bischoff, P.H.", J. Struct. Eng., 132(8), 1328-1330. crossref(new window)

14.
Kalkan, I. (2010), "Deflection prediction for reinforced concrete beams through different effective moment of inertia expressions", Int. J. Eng. Res. Dev., 2(1), 72-80.

15.
Lackner, R. and Mang, H.A. (2003), "Scale transition in steel-concrete interaction. I: Model", J. Eng. Mech., 129(4), 393-402. crossref(new window)

16.
Massicote, B., Elwi, A.E. and MacGregor, J.G. (1990), "Tension-stiffening model for planar reinforced concrete members", J. Struct. Eng., 116(11), 3039-3058. crossref(new window)

17.
Ning, F., Mickleborough, N.C. and Chan, C.M. (1999), "The effective stiffness of reinforced concrete flexural members under service load conditions", Aust. J. Struct. Eng., 2, 135-144.

18.
Park, R. and Paulay, T. (1975), Reinforced concrete structures, John Wiley and Sons Inc., Canada.

19.
Parrotta, J.E., Peiretti, H.C., Gribniak, V. and Caldentey, A.P. (2014), "Investigating deformations of RC beams: experimental and analytical study", Comput. Concrete, 13(6), 799-827. crossref(new window)

20.
Patel, K.A., Bhardwaj, A., Chaudhary. S. and Nagpal, A.K. (2015), "Explicit expression for effective moment of inertia of RC Beams", Lat. Am. J. Solid Struct., 12(3), 542-560. crossref(new window)

21.
Patel, K.A., Chaudhary. S. and Nagpal, A.K. (2014), "Analytical-numerical procedure incorporating cracking in RC beams", Eng. Comput., 31(5), 986-1010. crossref(new window)

22.
Ramnavas, M.P., Patel, K.A., Chaudhary, S. and Nagpal, A.K. (2015), "Cracked span length beam element for service load analysis of steel concrete composite bridges", Comput. Struct., 157, 201-208. crossref(new window)

23.
Ruiz, M.F., Muttoni, A. and Gambarova, P.G. (2007), "Analytical modeling of the pre- and postyield behavior of bond in reinforced concrete", J. Struct. Eng., 133(10), 1364-1372. crossref(new window)

24.
Sahamitmongkol, R. and Kishi, T. (2011), "Tension stiffening effect and bonding characteristics of chemically prestressed concrete under tension", Mater. Struct., 44(2), 455-474. crossref(new window)

25.
Salys, D., Kaklauskas, G. and Gribniak, V. (2009), "Modelling deformation behaviour of RC beams attributing tension-stiffening to tensile reinforcement", Eng. Struct. Tech., 1(3), 141-147.

26.
Scanlon, A., Cagley Orsak, D.R. and Buettner, D.R. (2001), "ACI code requirements for deflection control: A critical review", ACI S.P, 203, 1-14.

27.
Shanmugam, N.E. and Baskar, K. (2003), "Steel-concrete composite plate girders subject to shear loading", J. Struct. Eng., 129(9), 1230-1242. crossref(new window)

28.
Shayanfar, M.A. and Safiey, A. (2008), "A new approach for nonlinear finite element analysis of reinforced concrete structures with corroded reinforcements", Comput. Concrete, 5(2), 155-174. crossref(new window)

29.
Smadi, M.M. and Belakhdar, K.A. (2007), "Nonlinear finite element analysis of high strength concrete slabs", Comput. Concrete, 4(3), 187-206. crossref(new window)

30.
Stramandinoli, R.S.B. and Rovere, H.L.L. (2008), "An efficient tension-stiffening model for nonlinear analysis of reinforced concrete members", Eng. Struct., 30(7), 2069-2080. crossref(new window)

31.
Thevendran, V., Shanmugam, N.E., Chen, S. and Richard Liew J.Y. (2000), "Experimental study on steelconcrete composite beams curved in plan", Eng. Struct., 22(8), 877-889. crossref(new window)

32.
Vollum, R.L., Afshar, N. and Izzuddin, B.A. (2008), "Modelling short-term tension stiffening in tension members", Mag. Concrete Res., 60(4), 291-300. crossref(new window)

33.
Washa, G.W. and Fluck, P.G. (1956), "Plastic flow (creep*) of reinforced concrete continuous beams", ACI Struct. J., 52(1), 549-561.

34.
Yu, W.W. and Winter, G. (1960), "Instantaneous and long-time deflections of reinforced concrete beams under working loads", ACI J., 57(1), 29-50.