Average Crack Spacing of Overlay-Strengthened RC Beams
Publication: Journal of Materials in Civil Engineering
Volume 23, Issue 10
Abstract
This research evaluates the average crack spacing of overlay-strengthened RC beams. Current equations in different structural codes for predicting the average crack spacing of RC beams with multilayered reinforcing bars have proved inapplicable to overlay-strengthened RC beams, although both types of beams are reinforced with multiple layers. We have developed a simple, practical analytical model that can predict the average crack spacing of this type of beam. We analyzed an overlay-strengthened beam element using equilibrium and compatibility equations to formulate the average stresses of concrete, overlay, and tension reinforcement. Then we made a series of comparisons among various types of beam elements, using the experimental investigations to verify the model’s validity and reliability. The proposed model performs satisfactorily against measured responses from the experimental database.
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Acknowledgments
This study is part of the International Collaborative Research, Life Cycle Prediction and Management of Concrete Structures, adopted by the Asia-Africa S & T Strategic Cooperation Promotion Program of Special Coordination Funds for Science and Technology, Japan’s Ministry of Education, Culture, Sports, Science and Technology. The writers appreciate financial aid from Hokkaidō University and the Grant-in-Aid for Scientific Research (A) UNSPECIFIEDNo. 22246058. Dr. Kouichi Satoh of the Research Institute of Nara Construction Co., Ltd., is sincerely acknowledged for providing the writers with a detail of his test database.
References
Albandar, F. A. A., and Mills, G. M. (1974). “The prediction of crack widths in reinforced concrete beams.” Mag. Concr. Res., 26(88), 153–160
An, X., Maekawa, K., and Okamura, H. (1997). “Numerical simulation of size effect in shear strength of RC beams.” J. Mater. Concrete Struct. Pavements, 35(564), 297–316
Băzant, Z. P., and Oh, B. H. (1983). “Crack spacing in reinforced concrete: Approximate solution.” J. Struct. Eng., 109(1), 93–108
Broms, B. B. (1965). “Crack width and crack spacing in reinforced concrete members.” Proc., Amerian Concrete Institute J., American Concrete Institute, Farmington Hills, MI, 62(10), 1237–1265.
Canadian Standard Associations (CSA). (2004). “S474 concrete structures.” CSA-S474, Mississauga, Ontario, Canada
Charles, K. K. (1997). “Relationship of bond stress, steel stress, and slip in reinforced concrete.” J. Struct. Eng., 123(1), 79–85
Comité Euro-Internationale du Béton et Fédération Internationale e la Précontrainte (CEB-FIP). (1990). “CEB-FIP model code.” 1990, Lausanne, Switzerland
Dawood, N., and Marzouk, H. (2010). “An analytical approach for crack spacing of thick reinforced concrete plates.” Eng. Struct., 32, 472–482
European Committee for Standardization (CEN). (2004). “Design of concrete structures, Part I: General rules and rules or buildings.” Eurocode 2, Paris
Fédération Internationale du Béton. (2010). Model code 2010: First complete draft, Lausanne, Switzerland
Furuuchi, H., Kakuta, Y., Nishimuta, K., Shimizu, M., and Tokunaga, T. (2002). “Load carrying capacity of RC beam strengthened with sprayed overlay.” Proc., 57th Annual Conf., Japan Society of Civil Engineers (JSCE), Tokyo, 619–620 (in Japanese)
Furuuchi, H., Tsuneoka, S., Kakuta, Y., and Yoshizumi, A. (2000). “Research on RC members strengthened with sprayed overlay.” Proc., Japan Concrete Institute (JCI), Tokyo, 523–528 (in Japanese)
Gambarova, P. G., and Rosati, G. P. (1997). “Bond and splitting in bar pull-out: Behavioral laws and concrete cover role.” Mag. Concr. Res., 49(179), 99–110
Goto, Y. (1971). “Cracks formed in concrete around deformed tension bars.” Proc., American Concrete Institute J., Farmington Hills, MI, 68(4), 244–251
Jiang, D., Shah, S. P., and Andonian, A. (1984). “Study of the transfer of tensile forces by bond.” Proc., American Concrete Institute J., American Concrete Institute, Farmington Hills, MI, 81(3), 251–259
Japan Society of Civil Engineers (JSCE). (2007). “Standard specification for concrete structures: Design.” JGC15, Tokyo
Kankam, C. (1997). “Relationship of bond stress, steel stress, and slip in reinforced concrete.” J. Struct. Eng., 123(1), 79–85
Marzouk, H., Hossin, M., and Hussein, A. (2010). “Crack width estimation for concrete plates.” Struct. Concrete, 107(3), 282–290
Matsumoto, Y. (2000). “Static and fatigue properties of overlay strengthened beams.” Bachelor thesis, Hokkaidō University, Sapporo, Japan (in Japanese)
Norwegian Council for Building Standardization (NS). (1992). “Concrete structures design rules.” NS-3473 E, Oslo, Norway
Raoof, M., and Hassanen, M. A. H. (2000). “Peeling failure of reinforced concrete beams with fibre-reinforced plastic or steel plates glued to their soffits.” Proc., Institution of Civil Engineers, Structures and Buildings, London, 291–305
Rizk, E., and Marzouk, H. (2010). “A new formula to calculate crack spacing for concrete plates.” Struct. Concrete, 107(1), 43–52
Rizkalla, S. H., and Hwang, L. S. (1984). “Crack prediction for members in uniaxial tension.” Proc., American Concrete Institute Struct. J., American Concrete Institute, Farmington Hills, MI, 81(4), 572–579
Rizkalla, S. H., Hwang, L. S., and El-Shahawi, M. (1983). “Transverse reinforcement effect on cracking behavior of R. C. members.” Can. J. Civ. Eng., 10(4), 566–581
Satoh, K., and Kodama, K. (2005). “Central peeling failure behavior of polymer cement mortar retrofitting of reinforced concrete beams.” J. Mater. Civ. Eng., 17, 126–136
Untrauer, R. E., and Henry, R. L. (1965). “Influence of normal pressure on bond strength.” Proc., American Concrete Institute J., Farmington Hills, MI, 577–586
Wang, C. Y., and Ling, F. S. (1998). “Prediction model for the debonding failure of cracked RC beams with externally bonded FRP sheets.” Proc., 2nd Int. Conf. of Composites in Infrastructure, Tucson, AZ, 548–562
Yamamoto, T. (2010). “Capacities and failure mode of beam strengthened with HPFRCC and FRP grid under static and fatigue load.” Bachelor thesis, Hokkaidō Univ., Sapporo, Japan (in Japanese)
Yamamoto, T., et al. (2010). “Static load and failure mode of beam strengthened with HPFRCC and FRP Grid overlay.” Proc., Hokkaidō Chapter, Japan Society of Civil Engineers (JSCE), Tokyo, E–19 (in Japanese)
Zhang, D. W. (2009). “Interface and beam behaviour of PCM-strengthened concrete.” Ph.D. thesis, Hokkaidō Univ., Sapporo, Japan (in Japanese)
Zhang, D. W., Furuuchi, H., Hori, A., and Ueda, T. (2009). “Fatigue degradation properties of PCM-concrete interface.” J. Adv. Concr. Technol., 7(3), 425–438
Zhang, D. W., Ueda, T., and Furuuchi, H. (2011). “Intermediate crack debonding of polymer cement mortar overlay-strengthened RC beam.” J. Mater. Civ. Eng., 23(6), 857–865
Zhao, W. J., and Maruyama, K. (1994). “Experimental study on flexural cracking of RC beams with multi-layers of longitudinal bars.” J. Mater. Concrete Struct. Pavements, 23(490), 137–145
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© 2011 American Society of Civil Engineers.
History
Received: Dec 14, 2010
Accepted: Mar 31, 2011
Published online: Apr 2, 2011
Published in print: Oct 1, 2011
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