5) For the soil element shown on the right: a) Draw the Mohr's circle for this case b) Find the major and minor principal stresses c) Find the normal and shear stresses on plane AB B A 35° 5 kPa 20 kPa 30 kPa 6) A soil sample in a triaxial test with a cell pressure of 100 kPa fails when the vertical stress reaches 400 kPa. The resulting failure plane is observed to dip 60 degrees from horizontal (see figure). Assume that the soil is drained during the test, i.e. there is no pore pressure. a) Determine the friction angle of the soil. Hint: draw the Mohr's circle at failure. b) Determine the cohesion of the soil c) If the cell pressure was increased to 200kPa, what would the vertical pressure be at failure? σ₁ = 400kPa 60° σ3 = 100kPa
Note:
Provide a clear, step-by-step, simplified handwritten solution (no explanations), ensuring it is completed without any AI involvement. The solution must demonstrate expert-level accuracy and will be evaluated for its quality and precision. Please refer to the provided image for additional clarity. Double-check all calculations for correctness before submission. Thank you!.
Question 1: (refer to the image for visual understanding)
For the soil element shown on the right:
a) Draw the Mohr’s circle for this case
b) Find the major and minor principal stresses
c) Find the normal and shear stresses on plane AB.
Question 2: (refer to the image)
A soil sample in a triaxial test with a cell pressure of 100 kPa fails when the vertical stress reaches 400 kPa. The resulting failure
plane is observed to dip 60 degrees from horizontal (see figure).
Assume that the soil is drained during the test, i.e. there is no pore pressure.
a) Determine the friction angle of the soil. Hint: draw the Mohr’s circle at failure.
b) Determine the cohesion of the soil.
c) If the cell pressure was increased to 200kPa, what would the vertical pressure be at failure?.
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