Abstract
The background theory for the crack width calculation methods according to Eurocode 2 and fib Model Code 2010 is discussed to evaluate the applicability for the more general case of relatively thick beams, slabs and shells. Essentially, the formulas originate from the maximum transfer length and the difference in steel and concrete strains over this length. It is shown that the formulas are based on both a slip and a no-slip theory, two theories using exactly opposite assumptions. The slip theory assumes that a physical slip occurs in the interface between concrete and steel and, also, that plane sections remain plane. The no-slip theory assumes that no physical slip occurs between concrete and steel and, thus, that plane sections no longer remain plane. The theories were merged pragmatically in an attempt to describe the physical reality related to cracking. This resulted in a formula for the transfer length composed by two linear terms. Such a formulation, however, leads to inconsistencies that opposes the basic principles in solid mechanics. It is argued that these inconsistencies limits the application for the more general case. The observations in this paper suggests that a more robust and consistent calculation method should be formulated. A possible way is by improving the bond assumptions in the interface between concrete and steel, and thoroughly studying the geometry and configuration of cracks experimentally and theoretically.
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References
Balász, G.L.: Crack Control, fib Bulletin 52 (Structural Concrete – Textbook on Behavior, Design and Performance, vol. 2, 2nd edn., Sect. 4.3.1), Lausanne, pp. 97–132 (2010)
Base, G.D., Read, J.B., Beeby, A.W., Taylor, H.P.J.: An Investigation of the Crack Control Characteristics of Various Types of Bar in Reinforced Concrete Beams. Cement and Concrete Association, London (1966)
Beeby, A.W.: The prediction of crack widths in hardened concrete. Struct. Eng. 57A(1), 9–17 (1979)
Beeby, A.W.: The influence of the parameter φ/ρ eff on crack widths. Struct. Concr. 6(4), 155–165 (2004)
Caldentey, A.P., Peiretti, H.C., Iribarren, J.P., Soto, A.G.: Cracking of RC members revisited: influence cover, φ/ρs, ef and stirrup spacing – an experimental and theoretical study. Structural Concr. 14(1), 69–78 (2013)
CEB Manual: Cracking and Deformations. École polytechnique fédérale de Lausanne, Lausanne (1985)
CEN. EN-1992-1-1: Eurocode 2, Design of Concrete Structures – Part 1-1: General Rules and Rules for Buildings. CEN European Committee for Standardization, Brussels, Belgium (2004)
Debernardi, P.G., Taliano, M.: An improvement of the Eurocode 2 and fib Model Code 2010 methods for the calcuation of crack width in R.C Structures. Struct. Concr. J. 17(3), 365–376 (2016)
Ferry-Borges, J.: Cracking and Deformability of Reinforced Concrete Beams. Association International des Ponts et Charpentes, 26 (1966)
fib International Federation for Structural Concrete: fib Model Code for concrete Structures 2010. Ernst & Sohn, Berlin (2013)
Gergely, P., Lutz, L.A.: Maximum crack width in reinforced flexural members. causes, mechanism and control of cracking in concrete. SP20, American Concrete Institute, pp. 87–117 (1968)
Goto, Y.: Cracks formed in concrete around deformed tension bars. ACI J. 68, 244–251 (1971)
Rospars, C., Chauvel, D.: CEOS.fr experimental programme and reference specimen tests results. Eur. J. Environ. Civil Eng. 180(7), 738–753 (2014)
Saliger, R.: High-grade steel in reinforced concrete. In: Proceedings Second Concress of the International Association for Bridge and Structural Engineering, Berlin-Munich (1936)
Tammo, K., Lundgren, K.: Nonlinear analysis of crack widths in reinforced concrete. Mag. Concr. Res. 61(1), 23–34 (2009)
Yannopoulos, P.J.: Variation of concrete crack widths through the concrete cover to reinforcement. Mag. Concr. Res. 41(147), 63–68 (1989)
Acknowledgement
The work presented in this paper is part of an ongoing PhD study funded by the Norwegian Public Roads Administration as a part of the Coastal Highway Route E39 project. Reignard Tan would like to express his outmost gratitude to the supervisors and also colleagues at Multiconsult ASA for contributions and making this PhD study possible.
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Tan, R., Hendriks, M.A.N., Kanstad, T. (2018). Evaluation of Current Crack Width Calculation Methods According to Eurocode 2 and fib Model Code 2010. In: Hordijk, D., Luković, M. (eds) High Tech Concrete: Where Technology and Engineering Meet. Springer, Cham. https://doi.org/10.1007/978-3-319-59471-2_185
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DOI: https://doi.org/10.1007/978-3-319-59471-2_185
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