{"title":"Young\u2019s Modulus Variability: Influence on Masonry Vault Behavior","authors":"A. Zanaz, S. Yotte, F. Fouchal, A. Chateauneuf","country":null,"institution":"","volume":105,"journal":"International Journal of Civil and Environmental Engineering","pagesStart":1176,"pagesEnd":1183,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10002228","abstract":"This paper presents a methodology for probabilistic\r\nassessment of bearing capacity and prediction of failure mechanism\r\nof masonry vaults at the ultimate state with consideration of the\r\nnatural variability of Young\u2019s modulus of stones. First, the\r\ncomputation model is explained. The failure mode corresponds to the\r\nfour-hinge mechanism. Based on this consideration, the study of a\r\nvault composed of 16 segments is presented. The Young\u2019s modulus of\r\nthe segments is considered as random variable defined by a mean\r\nvalue and a coefficient of variation. A relationship linking the vault\r\nbearing capacity to the voussoirs modulus variation is proposed. The\r\nmost probable failure mechanisms, in addition to that observed in the\r\ndeterministic case, are identified for each variability level as well as\r\ntheir probability of occurrence. The results show that the mechanism\r\nobserved in the deterministic case has decreasing probability of\r\noccurrence in terms of variability, while the number of other\r\nmechanisms and their probability of occurrence increases with the\r\ncoefficient of variation of Young\u2019s modulus. This means that if a\r\nsignificant change in the Young\u2019s modulus of the segments is proven,\r\ntaking it into account in computations becomes mandatory, both for\r\ndetermining the vault bearing capacity and for predicting its failure\r\nmechanism.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 105, 2015"}