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ENG5284

### ADVANCED SOIL MECHANICS 5 (ENG5284)

Data sheets attached:

? Definitions of stress and strain variables

? Equations of Modified Cam Clay model

Q1

(a) The first sample is isotropically compressed to a normally consolidated state under a cell pressure of 300kPa and a back pressure of 100kPa before being sheared to a critical state in a conventional undrained triaxial compression test, with the cell pressure held constant at 300kPa. Calculate the final critical state values of mean effective stress ?′, deviator stress ?, specific volume v and pore pressure ?. [6]

(b) The second sample is prepared to an overconsolidated state by isotropically compressing under a cell pressure of 500kPa and a back pressure of 100kPa before isotropically unloading under a cell pressure of 300kPa and a back pressure of 100kPa. It is then sheared to a critical state in a conventional drained triaxial compression test, with the cell pressure held constant at 300kPa and the back pressure held constant at 100kPa. Calculate the final critical state values of ?′, ? and v and the (engineering) volumetric strain during shearing. [7]

(c) The third sample is prepared to the same normally consolidated state as the first sample i.e. isotropic compression under a cell pressure of 300kPa and a back pressure of 100kPa. It is then sheared to a critical state in an unconventional drained stress path triaxial compression test, in which the axial stress ? ? is held constant at 300kPa while the cell pressure ? ? is reduced, with the back pressure held constant at 100kPa. Determine the resultant gradient of the effective stress path in the ?:?′ plane. Hence, calculate the final critical stat

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