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The Mohr-Coulomb model is used as the strength criterion in this study to model shear strength. Thus, the procedure is applicable only for the soils and rocks whose deterministic strength follows the Mohr-Coulmob criterion. Available methods to obtain point estimates for the strength parameters from triaxial test data are discussed. Inaccuracy of the traditional method is pointed out. A method which requires weighted regression analysis and propagation of error technique is developed to obtain point estimates for the strength parameters. Chi-square tests for bivariate beta and bivariate normal distributions are performed on point estimates of strength parameters to check the applicability of the distributions in representing the distribution of the strength parameters. Both probability distributions seem to be useful in representing statistical distribution of strength parameters.
triaxial test, shear strength, probability and statistics, regression analysis, goodness-of-fit test, bivariate distributions
Assistant professor, University of Arizona, Tucson, AZ