Section 4: Soil and Water Conservation Engineering
Soil Mechanics
Subtopic: Engineering properties of soils
Question Statement:
A particle size distribution curve of a soil specimen gives effective grain sizes $D_{10} = 0.15\text{ mm}$, $D_{30} = 0.45\text{ mm}$, and $D_{60} = 1.35\text{ mm}$. The coefficient of curvature ($C_c = \frac{D_{30}^2}{D_{10} \cdot D_{60}}$) of the soil is ________ (answer in integer).
Answer Key:
1
Step-by-Step Solution & Explanation
The coefficient of curvature ($C_c$) is given by:
$C_c = \frac{D_{30}^2}{D_{10} \cdot D_{60}}$
Substituting given values:
$C_c = \frac{(0.45)^2}{0.15 \times 1.35} = \frac{0.2025}{0.2025} = 1.0$
Hence, the coefficient of curvature is 1.