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7 August, 19:41

At a lake location, the soil surface is 6 m under the water surface. Samples from the soil deposit underlying the lake indicate a wet unit weight of 18.8 kN/m3. Determine the effective and total vertical stresses in the deposit at a depth of 12 m below the soil surface.

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  1. 7 August, 19:59
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    The effective stress is 225.6 kN/m²

    The total vertical stress is 338.4 kN/m²

    Explanation:

    Given;

    depth of soil surface = 6m

    weight unit of the soil samples = 18.8 kN/m³

    Stress = force/area

    Stress = unit weight x depth

    Effective stress at a depth of 12 m below the soil surface:

    = (18.8 kN/m³) x (12 m)

    = 225.6 kN/m²

    Effective stress = 225.6 kN/m²

    Total vertical stress at a depth of 12 m below the soil surface:

    = (18.8 kN/m³) x (6 m) + (18.8 kN/m³) x (12 m)

    = 112.8 kN/m² + 225.6 kN/m²

    = 338.4 kN/m²

    Total vertical stress = 338.4 kN/m²
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