Question: A material fails under confined compression loading with stresses sigma , - sigma , - - / , sigma , - -

A material fails under confined compression loading with stresses \sigma ,-\sigma ,--/,\sigma ,--2.0r, where f: is its uniaxial compressive strength. (a) Determine the constants c and \phi in terms off, for the Mohr-Coulomb (b) Determine the constants k and \alpha for the Drucker-Prager criterion criterion. (c) Ilustrate the Mohr-Coulomb and Drucker-Prager failure surfaces by plotting their cross sections in the \pi -plane and the meridian section in the meridian plane of \theta -00.(d) Find the largest discrepancy in a deviatoric plane between the Mohr- Coulomb and Drucker-Prager criteria. e) Find the tensile strength ft predicted by these two criteria.

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