Soil Mechanics Lab: Sieve Analysis with Equations | CE253

Soil Mechanics Lab: Sieve Analysis

Lab Information

Lab No.: 3 – Sieve Analysis of Soil

Course Code: CE253 – Soil Mechanics

Description: Complete lab material covering Sieve Analysis procedure including theory, calculations, grain size distribution curve and lab report format

Soil Mechanics Lab - Sieve Analysis

Sieve Analysis of Soil

Lab No. 3

Lab Syllabus: Sieve Analysis

Lab 3: Sieve Analysis of Soil

• Theory and principle of mechanical analysis

• Standard sieve sizes and their significance

• Procedure for coarse and fine sieve analysis

• Calculations and plotting grain size distribution curve

• Determination of D10, D30, D60 and coefficients

• Soil classification based on sieve analysis results

Lab Report Content

Experiment: Sieve Analysis of Soil

Objective

To determine the grain size distribution of a soil sample using sieve analysis.

Apparatus Required

  • Set of standard IS sieves (e.g., 4.75 mm to 75 µm)
  • Weighing balance (accuracy 0.01 g)
  • Mechanical sieve shaker
  • Brush
  • Sample of dry soil (coarse or fine)
  • Tray and containers

Theory

Sieve analysis is a laboratory method used to determine the grain size distribution of soil particles. It helps classify soil based on the particle size and is part of mechanical analysis — a process for separating soil particles into different size fractions.

This analysis is conducted by passing soil through a series of standard sieves with progressively smaller openings. The particles get separated based on size, allowing classification into sand, gravel, and finer materials.

Grain Size Distribution Curve

A grain size distribution curve (or particle size distribution curve) is plotted using the percentage finer (on the Y-axis, linear scale) versus the logarithm of particle diameter (on the X-axis, log scale). This curve is essential in determining the engineering properties of soils.

Key characteristics:

  • Well-graded soil shows a smooth and wide range of particle sizes
  • Poorly graded soil (uniformly graded) has particles of nearly the same size
  • Gap-graded soil lacks certain intermediate sizes
Effective Size (D10)

The particle size at which 10% of the soil mass is finer. Important parameters calculated from the grain size distribution:

\[ D_{10} = \text{Particle size at 10\% passing} \]

Applications:

  • Soil permeability estimation
  • Drainage properties evaluation
  • Filter design criteria
Uniformity Coefficient (Cu)

A measure of the soil’s gradation defined as:

\[ C_u = \frac{D_{60}}{D_{10}} \]

Where:

  • \( D_{60} \) = Particle size at 60% passing
  • \( D_{10} \) = Particle size at 10% passing

Interpretation:

  • For gravels: \( C_u > 4 \) indicates well-graded
  • For sands: \( C_u > 6 \) indicates well-graded
  • Lower values indicate poorly graded soil
Coefficient of Curvature (Cc)

Evaluates the shape of the gradation curve:

\[ C_c = \frac{(D_{30})^2}{D_{10} \times D_{60}} \]

Where:

  • \( D_{30} \) = Particle size at 30% passing

Interpretation:

  • Well-graded soils: \( 1 \leq C_c \leq 3 \)
  • Outside this range suggests gap-graded or irregular gradation

Procedure

A. Coarse Sieve Analysis (for soil retained on 4.75 mm IS sieve)
  1. Approximately 100 g of oven-dried soil was taken (for soils with majority particles > 4.75 mm)
  2. The IS sieves were arranged in descending order of aperture size (4.75 mm, 2.36 mm, 1.18 mm, 600 µm, 425 µm, 300 µm, 212 µm, 150 µm, and 75 µm) with a pan placed at the bottom
  3. The sample was placed on the topmost sieve (4.75 mm) and covered with a lid
  4. The sieve stack was secured in a mechanical sieve shaker and shaken for about 10 minutes
  5. After shaking, the soil retained on each sieve was carefully weighed using a balance within 2% accuracy
  6. The weights were recorded and cumulative percentages retained as well as percentage passing (percent finer) were calculated
B. Fine Sieve Analysis (for soil passing 4.75 mm IS sieve)
  1. A representative sample of about 500 g of oven-dried soil passing 4.75 mm IS sieve was taken
  2. The finer IS sieves (2.36 mm to 75 µm) were arranged in order with a pan at the bottom
  3. The sample was placed on the top sieve (2.36 mm) and the sieves were shaken manually or mechanically for 10 minutes
  4. The material retained on each sieve was weighed accurately to 2% error
  5. All weights were recorded and percentage passing for each sieve was calculated

Observations and Calculations

IS Sieve Size (mm) Wt. of Empty Sieve (g) Wt. of Sieve + Soil (g) Soil Retained (g) % Retained Cumulative % Retained % Passing (Finer)
4.75 430 585 155 15.5% 15.5% 84.5%
2.36 320 495 175 17.5% 33.0% 67.0%
1.40 330 485 155 15.5% 48.5% 51.5%
1.18 310 445 135 13.5% 62.0% 38.0%
600 µm 285 460 175 17.5% 79.5% 20.5%
425 µm 325 370 45 4.5% 84.0% 16.0%
300 µm 290 340 50 5.0% 89.0% 11.0%
150 µm 265 335 70 7.0% 96.0% 4.0%
75 µm 300 325 25 2.5% 98.5% 1.5%
Pan 285 290 5 0.5% 99.0% 1.0%

From Grain Size Distribution Curve (Plotted on Semi-Log Graph):

  • \( D_{10} = 0.28 \text{ mm} \)
  • \( D_{30} = 0.86 \text{ mm} \)
  • \( D_{60} = 1.80 \text{ mm} \)
Grain Size Parameters Calculated

Uniformity Coefficient (\( C_u \)):

\[ C_u = \frac{D_{60}}{D_{10}} = \frac{1.80}{0.28} = 6.42 \]

Coefficient of Curvature (\( C_c \)):

\[ C_c = \frac{(D_{30})^2}{D_{10} \times D_{60}} = \frac{(0.86)^2}{0.28 \times 1.80} = 1.467 \]

Result and Conclusion

Based on the sieve analysis and grain size distribution curve, the effective particle size (\( D_{10} \)) of the soil sample was found to be 0.28 mm, which represents the size below which 10% of the particles by weight are finer. The particle size corresponding to 30% finer (\( D_{30} \)) was 0.86 mm, and that corresponding to 60% finer (\( D_{60} \)) was 1.80 mm.

Using these values, the Uniformity Coefficient (\( C_u \)) was calculated as 6.42, indicating that the soil has a wide range of particle sizes and is therefore well-graded. The Coefficient of Curvature (\( C_c \)) was found to be 1.467, which falls within the acceptable range of 1 to 3, suggesting that the soil does not have any major gaps in its gradation.

Conclusion:

The soil sample analyzed is well-graded, meaning it contains a good distribution of different particle sizes. Such soil is generally suitable for use in engineering applications like road construction, embankments, and filter materials, as it offers good compaction characteristics, strength, and drainage performance.

Lab Material (Important Notes)

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