Abstract
The cracks and deflection of the structure should not affect the normal use of the structure, which was required in the code for the design of reinforced concrete (GB 50010-2010). Though the Code stipulates the limit values of cracks and deflection of components under different control levels, there is a certain fuzziness in this provision for it is difficult to find a clear limit value to distinguish whether the components are normal or not in practical engineering. In addition, according to the JCSS combination rule, in the reliability analysis of the serviceability limit state, when frequent combination and quasi-permanent combination are involved, the corresponding sequence value should be used, instead of the maximum load value multiplied by the combination value coefficient adopted in the unified standard for reliability design of building structures (GB 50068-2001). In addition, for reinforced concrete flexural members, the research on the reliability control level under the serviceability limit state has been quite perfect, but for FRP concrete flexural members, the calculation formula follows the reinforced concrete code, and most of the research is devoted to the parameter research in the calculation formula, and the research on the reliability control level is less. Considering the above shortcomings, the fuzzy theory with the random process theory to analyze the reliability of cracks was combined in this paper. The calculation results of the example indicate that the reliability analysis method considering fuzzy factors and random process theory is reasonable.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Biondini F et al (2004) Fuzzy reliability analysis of concrete structures. Comput Struct 82(13):1033–1052
Chan WKV (2013) Theory and applications of Monte Carlo simulations. BoD–Books on Demand
China Academy of Building Sciences (2016) Code for design of concrete structures. GB50010-2010 (2015). China Construction Industry Press. (in Chinese)
China Association of financial management and construction (2011) Technical code for construction engineering application of fiber reinforced composites. China Planning Press, GB 50608-2010. (in Chinese)
Dong ZQ, Wu G (2017) Calculation method of maximum crack width of FRP reinforced concrete flexural members based on test data analysis. J Civ Eng 50(10):1–8. https://doi.org/10.15951/j.tmgcxb.2017.10.001. (in Chinese)
Gong JX, Wei WW (2007) Reliability design principle of engineering structure. China Machine Press. (in Chinese)
Grant LH, Mirza SA, Macgregor JG (1978) Monte Carlo study of strength of concrete columns. ACI Journal
Honfi D, Mårtensson A, Thelandersson S (2012) Reliability of beams according to Eurocodes in serviceability limit state. Eng Struct 35:48–45
Houssam T, Yong D (2003) Deflection and crack-width prediction of concrete beams reinforced with glass FRP rods. Constr Build Mater 17(1):69–74
International Organization for Standardization (ISO) (1998) ISO 2394: 1998 (E)—general principles on reliability for structures
JCSS (2001) JCSS probabilistic model code
Leon R-LW, Lap-Yan C (1972) Discussion of behavior of fiber glass reinforced concrete beams. J Struct Div 98(5):1202–1208
Ministry of construction of the people’s Republic of China (2001) Unified standard for reliability design of building structures: GB50068-2001. China Construction Industry Press. (in Chinese)
Ministry of construction of the people’s Republic of China (2012) Load code for building structures: GB 50009-2012. China Construction Industry Press. (in Chinese)
Ministry of construction of the people’s Republic of China (2018) Unified standard for reliability design of building structures: GB50068-2018. China Construction Industry Press. (in Chinese)
Radhouane M, Michele T, Brahim B (1998) Flexural behavior of concrete beams reinforced with deformed fiber reinforced plastic reinforcing rods. Struct J 95(6):665–676
Ribeiro S, Diniz S (2013) Reliability-based design recommendations for FRP-reinforced concrete beams. Eng Struct 52:273–283
Sadeghi N, Fayek AR, Pedrycz W (2010) Fuzzy Monte Carlo simulation and risk assessment in construction. Comput Aided Civ Infrastruct Eng 25(4):238–252
Shi Z, Hu HX, Chen JF et al (2000) Study on the reliability of reinforced concrete structural members under serviceability limit state. Arch Sci 16(6):8 (in Chinese)
Sun XY, Huang CK (2006) Reliability analysis of existing reinforced concrete bridges under serviceability limit state. J Hunan Univ Nat Sci Ed 33(4):5 (in Chinese)
Tang TY (1986) Fuzzy probability analysis of crack control reliability of reinforced concrete members. J Dalian Inst Technol 02:1–7 (in Chinese)
Wang PZ (1985) Fuzzy set and random set shadow. Bei**g Normal University Press. (in Chinese)
**ao SX, Zeng DR (1991) Fuzzy reliability analysis of bearing capacity of bridge structure. J Chongqing Jiaotong Univ (natural Science Edition) 10(003):115–119 (in Chinese)
Xu XS (2007) Study on mechanical properties of FRP bars and flexural properties of concrete beams. Tian** University. (in Chinese)
Yao J, Song C, Liu W (2017) Reliability analysis of crack control of concrete flexural members. J Civ Eng 050(003):28–34
Acknowledgements
This work was supported by the National Key Research and Development Projects (Program 2016YFC0701301-01).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflicts of interest
The authors declare that they have no conflicts of interest.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhengjie, C., Jitao, Y. Study on Fuzzy Reliability of FRP-Reinforced Concrete Under Serviceability Limit State in Chinese Code. Iran J Sci Technol Trans Civ Eng 47, 1933–1940 (2023). https://doi.org/10.1007/s40996-022-01029-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40996-022-01029-y