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The shape of particle size curve can be represented by
CuтАЛ
CcтАЛ
IpтАЛ
IfтАЛ
CcтАЛ
The shape of the particle size distribution curve is defined by the Coefficient of Curvature (CcтАЛ). While the Coefficient of Uniformity (CuтАЛ) indicates the range of particle sizes present, CcтАЛ provides information about the smoothness and shape of the gradation curve.
The shape of the particle size distribution curve is defined by the Coefficient of Curvature (CcтАЛ). While the Coefficient of Uniformity (CuтАЛ) indicates the range of particle sizes present, CcтАЛ provides information about the smoothness and shape of the gradation curve.
CcтАЛ=D60тАЛ├ЧD10тАЛ(D30тАЛ)2тАЛ тАФ Coefficient of Curvature
CuтАЛ=D10тАЛD60тАЛтАЛ тАФ Coefficient of Uniformity
The particle size distribution curve represents the percentage of soil particles passing through various sieve sizes. CcтАЛ is defined as the ratio of the square of the diameter at 30% passing to the product of the diameters at 60% and 10% passing. A value of CcтАЛ between 1 and 3 for gravelly soils and 1 and 3 for sands generally indicates a well-graded soil, meaning the soil particles are distributed over a wide range of sizes with a smooth, continuous curve.
A well-graded soil must satisfy both the CuтАЛ and CcтАЛ criteria.
For gravel, a soil is well-graded if CuтАЛ>4 and 1тЙдCcтАЛтЙд3.
For sand, a soil is well-graded if CuтАЛ>6 and 1тЙдCcтАЛтЙд3.
CcтАЛ is dimensionless.
Helps in identifying gap-graded soils.
Essential parameter for engineering classification of soils.
Does not account for soil plasticity or chemical properties.
Requires full sieve analysis data to calculate.
Filter design in earth dams.
Stability analysis of geotechnical structures.
Classification of soils in the Unified Soil Classification System (USCS).
If CcтАЛ falls outside the 1-3 range, the soil is generally considered poorly graded or gap-graded.
Option A (CuтАЛ) represents the uniformity of particle sizes (range), not the shape of the curve.
Option C (IpтАЛ) is the Plasticity Index, related to soil consistency (Atterberg limits).
B is correct тАФ The Coefficient of Curvature (CcтАЛ) represents the shape of the particle size distribution curve.
Remember: CuтАЛ measures the spread of sizes (steepness), while CcтАЛ measures the curvature (shape).
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