Abstract
The scientific models for the calculation of the width of early age imposed strains cracks are based on various concepts and are constantly evolving. Due to the complexity of the matter considerable simplifying assumptions are employed. These include the member restraint factor (specified prior to its cracking) used not only for the determination of the risk of the primary crack formation, but also for the determination of subsequent cracks and the calculation of their width. Although such an assumption may lead to an approximation of the expected results, it is by no means compatible with the mechanical bases of member behavior after its primary cracking. In an attempt to address this problem, in the present paper the application of a new model for the calculation of the modification factor (Rσcr) for the degree of restraint before cracking, which takes account of the effect of various scales of cracking is proposed. The model enables a more accurate assessment of the risk of subsequent cracks formation together with the calculation of cracks width both immediately after their formation, i.e. taking account of the effect of member relaxation, and immediately prior to subsequent cracking. A parametric analysis was performed which indicated a significant impact of member geometry (i.e. cross-section and length of the member) on the change of the modification factor after cracking. Depending on the member geometry the limit values of imposed strains to the level of which reinforcement effectively restricts cracks width are also specified.
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References
ACI 207.2R-95: Effect of restraint, volume change and reinforcement on cracking of mass concrete. ACI Committee 207, American Concrete Institute, USA (1995)
Azenha M., Fairbairn E., (ed.) Thermal Cracking of Massive Concrete Structures – State of the Art Report of the RILEM Technical Committee 254-CMS. Springer, London (2019)
Bamforth, P.B., Denton, S., Shave, J.: A new approach for the design of reinforcement to control cracking resulting from continuous edge restraint to continuous. In: Concrete: 21st Century Super. Building a Sustainable Future, Fib Symposium, pp. 22–24, Hero, London (2009)
Bamforth, P.B.: Control of cracking caused by restrained deformation in concrete. Ciria London (2018)
Barre, F., et al.: Control of cracking in reinforced concrete structures: research project CEOS.fr. Wiley, New Jersey (2016)
BS 8007, Design of Concrete Structures for Retaining Aqueous Liquids. British Standards Institution, London (1987)
CEN (European Committee for Standardization). Design of concrete structures. General rules and rules for buildings. part 1.1. Eurocode 2, Brussels, Belgium: CEN (2004)
CEN (European Committee for Standardization). Design of concrete structures. Liquid Retaining and Containment Structures. part 3. Eurocode 2, Brussels, Belgium: CEN (2006)
Emborg, M., Bernander, S., Jonasson, J.-E., Nilsson, M.: Avoidance of early-age cracking – principles and recommendations, IPACS Report BE96-3843. Lulea University of Technology, Lulea, Sweden, Department of Civil and Mining Engineering (2003)
Harrison, T.A.: Early-age Thermal Crack Control in Concrete, Ciria, London (1981)
Jędrzejewska, A., Kanavaris, F., Zych, M., Schlicke, D., Azenha, M.: Experiences on early age thermal cracking of wall-on-slab concrete structures. Struct. 27, 2520–2549 (2020)
Jędrzejewska, A., Zych, M.: Degree of external restraint of imposed strain in the view of a new Draft of EN 1992–1–1, Inżynieria i Budownictwo, 11–12 (Dec), 553–561 (2021)
Jędrzejewska, A., et al.: Standardised models for cracking due to restraint of imposed strains – the state of the art. Structural Concrete, [in progress: Early View] (2023)
JSCE (Japan Society of Civil Engineers). Guidelines for Concrete. No. 15: Standard Specifications for Concrete Structures. Design. Tokyo, Japan: JSCE (2011)
Kheder, G.F., Al-Rawi, R.S., Al-Dhahi, J.K.: A study of the behavior of volume change cracking in base restrained concrete walls. Mater. Struct. 27(7), 383–392 (1994)
Knoppik-Wróbel, A.: Analysis of early-age thermal-shrinkage stresses in reinforced concrete walls, Doctoral Thesis, Silesian University of Technology, Gliwice, Poland (2015)
Nilsson, M.: Restraint factors and partial coefficients for crack risk analyses of early age concrete structures. Phd thesis, Lulea University of Technology, Lulea (2003)
Schlicke, D., Hofer, K., Nguyen, V. T.: Adjustable restraining frames for systematic investigation of cracking risk and crack formation in reinforced concrete under restrained conditions. In: Advanced Techniques for Testing of Cement-Based Materials, vol. 2, pp. 211–239 (2020)
Schlicke, D., Tue, N.V.: Minimum reinforcement for crack width control in restrained concrete members considering the deformation compatibility. Structural Concr. 2, 221–232 (2015)
Zych, M.: A new model of crack control in reinforced concrete tank walls—part i: analytical investigation. ACI Struct. J. 116(3), 85–94 (2019)
Zych, M.: Degree of external restraint of wall segments in semi-massive reinforced concrete tanks: Part II Rectangular and cylindrical segments. Struct Concrete. 19(3), 829–838 (2018)
Zych, M.: Application of a new theory of restraint factor after cracking of reinforced concrete members. Archiv. Civil Eng. 69(1), 197–212 (2023)
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Zych, M. (2023). Effect of Member Geometry on the Modification Factor for the Degree of Restraint Before Cracking in Order to Account for the Effect of Cracking. In: Jędrzejewska, A., Kanavaris, F., Azenha, M., Benboudjema, F., Schlicke, D. (eds) International RILEM Conference on Synergising Expertise towards Sustainability and Robustness of Cement-based Materials and Concrete Structures. SynerCrete 2023. RILEM Bookseries, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-031-33211-1_91
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