{"title":"Simple Procedure for Probability Calculation of Tensile Crack Occurring in Rigid Pavement \u2013 Case Study","authors":"Ale\u0161 Florian, Lenka \u0160evelov\u00e1, Jaroslav \u017d\u00e1k","volume":87,"journal":"International Journal of Civil and Environmental Engineering","pagesStart":330,"pagesEnd":335,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9998435","abstract":"
Formation of tensile cracks in concrete slabs of rigid pavement can be (among others) the initiation point of the other, more serious failures which can ultimately lead to complete degradation of the concrete slab and thus the whole pavement. Two measures can be used for reliability assessment of this phenomenon - the probability of failure and\/or the reliability index. Different methods can be used for their calculation. The simple ones are called moment methods and simulation techniques. Two methods - FOSM Method and Simple Random Sampling Method - are verified and their comparison is performed. The influence of information about the probability distribution and the statistical parameters of input variables as well as of the limit state function on the calculated reliability index and failure probability are studied in three points on the lower surface of concrete slabs of the older type of rigid pavement formerly used in the Czech Republic.<\/p>\r\n","references":"[1]\tP. Thoft-Christensen, and M. J. Baker, Structural Reliability Theory and Its Application. Springer-Verlag, New York, 1982.\r\n[2]\tA. M. Hasofer, and N. C. Lind, \"Exact and Invariant Second-Moment Code Format\u201d, J. of Eng. Mech., no. 1, 1974, pp. 111-121.\r\n[3]\tG. I. Schueller, C. G. Bucher, U. Bourgund, and W. Ouypornprasert, \"On Efficient Computational Schemes to Calculate Structural Failure Probabilities,\u201d Prob. Eng. Mech., vol. 4, no. 1, 1989, pp. 10-18.\r\n[4]\tM. D. McKay, R. J. Beckman, and W. J. Conover, \"A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code,\u201d Technometrics, no. 2, 1979, pp. 239-245.\r\n[5]\tR. L. Iman, and W. J. Conover, \"Small Sample Sensitivity Analysis Techniques for Computer Models, With an Application to Risk Assessment,\u201d Commun. Statist., no. A9, 1980, pp. 1749-1842.\r\n[6]\tA. Florian, \"Optimization of parametric studies using Updated Latin Hypercube Sampling,\u201d in Proc. of the ICOSSAR 2005, Rome, Italy, 2005, pp. 2319-2323.\r\n[7]\tA. Florian, L. \u0160evelov\u00e1, and R. Hela, \"Reliability Analysis of Deflections of Concrete Pavement,\u201d in Proc. of the 2nd Int. Conference on Best Practices for Concrete Pavements IBRACON 2011, Florianopolis, Brazil, 2011, pp. 1-10.\r\n[8]\tA. Florian, and L. \u0160evelov\u00e1, \"Reliability Analysis of Temperature Influence on Stresses in Rigid Pavement Made from Recycled Materials,\u201d The Baltic Journal of Road and Bridge Engineering, submitted for publication.\r\n[9]\tA. Florian, and D. Nov\u00e1k, \"The Statistical Model Selection for Random Variables,\u201d Engineering Workstations J., vol. 4, no. 3, 1988, pp. 158-162.\r\n","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 87, 2014"}