In a direct shear test on a specimen of cohesionless soil (sand), the vertical normal stress on the specimen is 210 kPa and the horizontal shear stress at failure is 135 kPa. You may assume the uniform stress distribution within the failure zone. a) determine the magnitude and direction of the principal stresses at failure using a Mohr's circle b) briefly explain whether it's possible to determine the magnitude and direction of the principal stresses when the material is not failed.

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In a direct shear test on a specimen of cohesionless soil (sand), the vertical normal stress on the specimen is 210 kPa and the horizontal shear stress at failure is 135 kPa. You may assume the uniform stress distribution within the failure zone.

a) determine the magnitude and direction of the principal stresses at failure using a Mohr's circle

b) briefly explain whether it's possible to determine the magnitude and direction of the principal stresses when the material is not failed.

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