1.
Given:
Maximum
dry unit weight,
Minimum
dry unit weight,
Relative
density,
Relative Density Formula
Relative Compaction Formula
Given,
, minimum void ratio , specific gravity , relative density , and water content .
Void ratio at using the formula:
Rearranging gives:
Substituting the values:
So, the void ratio is approximately 0.619.
Next, the dry unit weight is calculated using:
Taking :
So, the dry unit weight is approximately 16.12 kN/m³.
Finally, the moist unit weight is calculated as:
Thus, the moist unit weight of the soil is approximately 17.24 kN/m³.
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Given,
Inside cross-sectional area of the cylinder = 5000 mm² (not needed in this calculation)
Height of sand column = 100 mm = 10 cm
Initial water level = 400 mm = 40 cm
Final water level = 200 mm = 20 cm
Time = 30 minutes = 1800 seconds
Falling head permeability formula:
Where:
k = coefficient of permeability (cm/sec)
L = length of soil column = 10 cm
= time = 1800 sec
h1 = initial head = 40 cm
h2 = final head = 20 cm
Now substitute:
The coefficient of permeability is 0.00385 cm/s or 3.85 × 10⁻⁵ m/s. Answer:
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