Solve the following problems. Put your solution in a Word, or Excel document. Assume values for any unspecified parameters (Gs, etc.).
1. A surchage was placed over a deposit of soil as shown below. How high would the water rise in the piezometer (Δh) as a result of the surcharge?
2. A normally-consolidated clay was subjected to a consolidated-undrained (CU) test. At failure, σ3 = 100 kN/m2, σ1 = 205 kN/m2, and ud (pore pressure at faiture) = 50 kN/m2. Determine φcu and φ'.
3. A sandy soil is subjected to a consolidated drained (CD) triaxial test. The confining stress during the consolidation stage is 100 kPa and the applied axial stress (the deviator stress) at failure is 200 kPa.
a) Plot Mohr's circle for the conditions at the end of the consolidation stage and at the end of the shearing stage (at failure).
b) Determine the friction angle (φ) assuming that c=0.
c) Determine the orientation of the failure plane.
d) Determine the shear stress on the failure plane at failure.
e) Determine the maximum shear stress in the sample at failure.
f) Determine the orientation of the maximum shear stress at failure.
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