The Application of Bounded Normal Distribution in Statistics of Concrete Strength

Abstract:

23,037 values of concrete compressive strength from construction sites were obtained from Beijing Building Construction Research Institute from 2009-2012 by standard cubes testing method. The mean values, standard deviations, coefficients of variations, maxima and minima were derived from the original strength values analyzed and compared with the data in 1989. The results make up for the lack in C25/C30 and the maxima/minima of every strength class of concrete of the former data. Both the coefficients of variations and mean values have increased in recent years. The log-normal distribution commonly used in concrete compressive strength statistics is not that suitable for strength modeling for it is unbounded. So a bounded normal distribution was given in this paper. By Geary's test, the goodness-of-fit of bounded normal distribution is better than log-normal distribution has been proved.

• Periodical: Advanced Materials Research (Volumes 671-674)
• Pages: 1641-1647
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.671-674.1641
• Online since: March 2013
• Authors: Xu Yan, Yong Zhi Zuo, Qiao Zhi Lu, Da Huo, Ming Liu
• Keywords: Bounded Normal Distribution, Concrete Compressive Strength, Log-Normal Distribution, Statistic

References

[1] Guofan Zhao, Weiliang Jin and Jinxin Gong: The Theory of Structural Reliability (In Chinese, China Architecture & Building Press, China 2009).

[2] Zaikang Shen: Comment on the New code for design of concrete structures (In Chinese, China Architecture & Building Press, China 1993).

[3] Ministry of Urban-Rural Development and Environment Protection of the People's Republic of China, China Standard GBJ 10-89. (In Chinese, 1989).

[4] F. Indelicato: submitted to Journal of Mater Struct (1993).

[5] Xinxuan Wu: The Technical Manual of Concrete Non-Destructive Testing (In Chinese, China Communications Press, China 2003).

[6] Xiaotan Di, Yan Zhou: Testing, Strengthening and Maintaining for Old Buildings (In Chinese, Seismological Press, China 1991).

[7] National Center for Quality Supervision and Test of Building Engineering: The Technical of Concrete Non-Destructive Testing (In Chinese, China Building Materials Press, China 1996).

[8] Ministry of Construction of the People's Republic of China, China Standard GB/T 50081-2002. (In Chinese, 2002).

[9] Ministry of Urban-Rural Development and Environment Protection of the People's Republic of China, China Standard GBJ 107-84. (In Chinese, 1984).

[10] Ministry of Housing and Urban-Rural Development of the People's Republic of China, China Standard GB/T 50107-2010. (In Chinese, 2010).

[11] Jihua Li et al: Structural Probabilistic Limit States Design for Construction (In Chinese, China Architecture & Building Press, China 1990).

[12] Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye: Probability & Statistics for Engineers & Scientists (Pearson Education Inc., U.S. 2012).