Empirical Analytical Modelling of Average Bond Stress and Anchorage of Tensile Bars in Reinforced Concrete

Authors: Maruful H. Mazumder, Raymond I. Gilbert

Abstract:

The design specifications for calculating development and lapped splice lengths of reinforcement in concrete are derived from a conventional empirical modelling approach that correlates experimental test data using a single mathematical equation. This paper describes part of a recently completed experimental research program to assess the effects of different structural parameters on the development length requirements of modern high strength steel reinforcing bars, including the case of lapped splices in large-scale reinforced concrete members. The normalized average bond stresses for the different variations of anchorage lengths are assessed according to the general form of a typical empirical analytical model of bond and anchorage. Improved analytical modelling equations are developed in the paper that better correlate the normalized bond strength parameters with the structural parameters of an empirical model of bond and anchorage.

Keywords: Bond stress, Development length, Lapped splice length, Reinforced concrete.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1089477

References:

[1] Standards Australia: Australian Standard for Concrete Structures (AS3600-2009), Sydney, Australia, 2009.
[2] ACI Committee 318: Building Code Requirements for Structural Concrete (ACI318M-08) and Commentary, American Concrete Institute, Farmington Hills, Michigan, 2008.
[3] Eurocode 2: Design of Concrete Structures Part 1-1: General Rules and Rules for Buildings, BS EN 1992-1-1:2004, European Committee for Standardisation, Brussels, 2004.
[4] DIN 1045-1: Concrete, Reinforced and Prestressed Concrete Structures - Part 1: Design and Construction, DIN Deutsches Institut für Normung, Berlin, Germany, 2008.
[5] C. O. Orangun, J. O. Jirsa, and J. E. Breen, "A reevaluation of test data on development length and splices,” ACI Journal, vol. 74, no. 3, pp. 114-122, 1977.
[6] J. Chinn, P. M. Ferguson, and J. N. Thompson, "Lapped splices in reinforced concrete beams,” ACI Journal, pp. 201-213, 1955.
[7] P. M. Ferguson, and J. E. Breen, "Lapped splices for high strength reinforcing bars," ACI Journal, vol. 62, pp. 1063-1078, 1965.
[8] S. J. Chamberlin, "Spacing of spliced bars in beams,” ACI Journal, vol. 54, February 1958.
[9] P. M. Ferguson, and C. N. Krishnaswamy, "Tensile lap splices. - Part 2: Design recommendations for retaining wall splices,” Research Report 113-3, Center for Highway Research, University of Texas at Austin, 1971.
[10] ACI Committee 408: Suggested Development, Splice, and Standard Hook Provisions for Deformed Bars in Tension (ACI408, IR-79), American Concrete Institute, Detroit, 1979.
[11] ACI Committee 318: Building Code Requirements for Structural Concrete (ACI318-05). American Concrete Institute, Farmington Hills, Michigan, 2005.
[12] R. I. Gilbert, Z-T. Chang, and M. H. Mazumder, "Anchorage of reinforcement in concrete structures subjected to cyclic loading,” Paper 22-3, CONCRETE-11, 25th Biennial Conference of Concrete Institute of Australia, October, Perth, 2011.
[13] R. I. Gilbert, M. H. Mazumder, and Z-T. Chang, "Bond, slip and cracking within the anchorage length of deformed reinforcing bars in tension,” Bond in Concrete-2012: Bond, Anchorage, Detailing; Fourth International Symposium of the Bond In Concrete, June, Brescia, Italy, 2012.
[14] M. H. Mazumder, R. I. Gilbert, and Z-T. Chang, "A reassessment of the analysis provisions for bond and anchorage length of deformed reinforcing bars in tension,” Bonfring Interantional Journal of Industrial Engineering and Management Science, vol. 2, Issue 4, pp. 01-08, 2012.
[15] M. H. Mazumder, R. I. Gilbert, and Z-T. Chang, "Analytical modelling of average bond stress within the anchorage of tensile reinforcing bars in reinforced concrete members,” Journal of The World Academy of Science, Engineering and Technology; Issue 78, pp. 66-72, 2013.
[16] M. H. Mazumder, R. I. Gilbert, and Z-T. Chang, "Anchorage of deformed reinforcing bars in tension: an outlook for advanced formulation of a bond-slip constitutive law,” Proceedings of the 22nd Australasian Conference on the Mechanics of Structures and Materials, ACMMS 22, Sydney, Australia, pp. 319-324, 2013.