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http://dx.doi.org/10.11112/jksmi.2010.14.2.184

Correlation Between Crack Widths and Deflection in Reinforced Concrete Beams  

Kang, Ju-Oh (서울시립대학교 건축학부)
Kim, Kang-Su (서울시립대학교 건축학부)
Lee, Deuck-Hang (서울시립대학교 건축학부)
Lee, Seung-Bea (인하대학교 건축학부)
Publication Information
Journal of the Korea institute for structural maintenance and inspection / v.14, no.2, 2010 , pp. 184-192 More about this Journal
Abstract
The member deflection is one of the most important considerations for the serviceability evaluation of reinforced concrete (RC) structures, and the concept of the effective moment of inertia has been generally used for its estimation. However, the actual service load applied on an existing RC beam may not be easily obtained, for which the estimation of beam deflection by existing methods can be difficult to obtain. Therefore, based on the correlation between cracks and deflection in a RC beam, this study proposed a method to estimate the deflection of RC beams directly from the condition of cracks not using the actual loads acting on the member as its input data. The proposed method extensively utilized the relationships among sums of crack widths, average strains, and curvatures, and modification factors obtained from regression analysis were also introduced to improve its accuracy. The deflections of members were successfully estimated by the proposed method independent from applied loads, which was also easy to apply compared to the existing methods based on the effective moment of inertia.
Keywords
Deflection; Crack width; Flexural Rigidity; Curvature; Effective Moment of Inertia;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Gere, J. M., Mechanics of Mterials, Cengage Learning, 2009, p.1002.
2 Harajli, M. H., and Kanj, M. Y., "Ultimate Flexural Strength of Concrete Members Prestressed With Unbonded Tendons", American Concrete Institute Structural Journal, Vol. 88, No. 6, 1991, pp.663-673.
3 Macgregor, J. G. and Wight, J. K., Reinforced Comcrete Mechnics and Design, Prentice Hall, 2006, p.1111.
4 Al-Shaikh, A. H. and Al-Zaid, R. Z., "Effect of Reinforcement Ratio on the Effective Moment of Inertia of Reinforced Concrete Beams", American Concrete Institute Structural Journal, Vol. 65, No. 9, 1993, pp. 144-149.
5 Branson, D. E., "Instantaneous and Time-Dependent Deflections of Simple and Continuous Reinforced Concrete Beams", HPR Report No. 7, Part 1, Alabama-Highway Department/U.S. Breau of Public Roads, 1963/1965, pp. 1-78.
6 Branson, D. E., Trost, H., "Unified Procedures for Predicting the Deflection and Centroidal Axis Location of Partially Cracked Nonprestressed and Prestressed Concrete Members", American Concrete Institute Journal Proceedings, Vol. 72, No. 2, 1982, pp.119-130.
7 Fikry, A. M. and Thomas, C., "Development of a Model for the Effective Moment of Inertia of One-Way Reinforced Concrete Elements", American Concrete Institute Structural Journal, Vol. 95, No. 4, 1998, pp. 444-455.
8 Chen W. F., Plasticity in Reinforced Concrete, McGraw-Hill, 1982, p.474.
9 Chen, W. F. and Han, D. J., Plasticity for Structural Engineering, Springer-Verlag New York Inc., 1988, p.606.
10 Collins, M. P., and Mitchell, D., Prestressed Concrete Structure, Prentice Hill, 1991, 766 pp.
11 이승배, 박미영, 장수연, 김강수, 김상식, "사용하중상태에서 철근콘크리트 휨부재의 유효 단면2차모멘트에 대한 고찰", 한국콘크리트학회 논문집, 제20권 3호, 2008, pp.393-404.   과학기술학회마을
12 박미영, 이승배, 김강수, 김상식, "철근콘크리트 단순보의 유효단면2차모멘트에 대한 모멘트 분포 형상의 영향분석", 한국콘크리트학회 논문집, 제21권 1호, 2008, pp.93-103.   과학기술학회마을   DOI   ScienceOn
13 한국콘크리트학회, 2007년도 개정 콘크리트구조설계기준해설, 2007, p.523.
14 ACI Committee 318, Building Code Requirements for Structural Concrete and Commentary(ACI 318M-05), American Concrete Institute, Farmington Hills, 2005, p.436.
15 AL-Zaid R. Z., Al-Shaikh A. H., and Abu-Hussein, M., "Effect of Reinforcement Ratio on the Effective Moment of Inertia of Reinforced Concrete Beams", ACI Structural Joural, Vol. 88, No. 2, 1991, pp.184-190.
16 ACI Committee 435, "Deflections of Reinforced Concrete Flexural Members", American Concrete Institute Journal Proceedings, Vol. 63, No. 6, 1966, pp.637-674.
17 Akmaluddin and Thomas C., "Experimental Verification of Effective Moment of Inertia Used in the Calculation of Reinforced Concrete Beam Deflection", Interational civil Engineering Conference, 2006, pp.89-98