Determination Of Grain Size Analysis (Hydrometer Method)

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Written by Help The Engineer Team
Reviewed by Er. Inderjit Sharma (Retd.), Punjab PWD

Why a hydrometer? Sieves can only separate particles down to 75 µm. Silt and clay are much smaller, so they are measured by letting them settle in water and checking how fast they settle. This is the hydrometer (sedimentation) method.

What does it tell you? The percentage of silt and clay in a soil, which completes the grading curve below 75 µm. It is important for clayey subgrades, expansive soils, embankment cores and filter design.

This guide follows IS 2720 (Part 4): Grain Size Analysis (sedimentation by hydrometer).

The Idea: Big Particles Settle Faster

After 1 minutesand gone; mix still thick After 1 hoursilt settling; only fine particles left After 24 hoursonly clay left in suspension As particles settle, the liquid gets lighter and the hydrometer sinks deeper
Fig. 1: Over time, coarser particles settle first. The hydrometer reading drops, showing how much soil is still suspended.
💡 Stokes’ law in simple words: a particle falling through water settles at a speed that depends on its size. A particle twice as big settles about four times faster. So, from the time taken and the depth, we can work out the particle size.

Apparatus Required

Hydrometer

Floating glass instrument; reads the density of the soil–water mix.

soilcontrol

Two 1000 ml cylinders

One for the soil suspension, one as the control jar.

Thermometer & water bath

Keeps and measures the temperature (0.5°C accuracy).

Stopwatch

Times the readings from 30 seconds to 24 hours.

Balance, oven, sieves

0.01 g balance, oven, 4.75 mm and 75 µm sieves.

SHMP

Dispersing agent

Keeps clay particles separate so they settle one by one.

🧪 Dispersing solution: dissolve 33 g sodium hexametaphosphate + 7 g sodium carbonate in distilled water to make 1 litre. It stops clay particles from sticking together.

Parts of the Hydrometer and Effective Depth

HR = effective depthfrom surface to centre of bulb Reading R’h (top of meniscus) Stem with scale Bulb Soil suspension in 1000 ml cylinder
Fig. 2: The hydrometer. HR is the depth from the liquid surface to the centre of the bulb; it comes from the hydrometer’s calibration chart.

Procedure

Preparing the Suspension

  1. Oven-dry the soil passing the 75 µm sieve. Weigh 50 g for clayey soil or 100 g for sandy soil.
  2. Put it in an evaporating dish, add 100 ml of dispersing solution, warm gently for about 10 minutes, then stir for about 15 minutes.
  3. Pour it into the 1000 ml cylinder (rinse the dish with distilled water) and fill to exactly 1000 ml.
  4. Fill the control jar with the same amount of dispersing solution and distilled water (no soil).

Taking Readings

  1. Close the cylinder with a stopper and shake it end over end to mix the soil fully. Put it in the water bath and start the stopwatch.
  2. Gently put in the hydrometer and read at 0.5, 1, 2 and 4 minutes.
  3. Take the hydrometer out, rinse it and keep it in the control jar. Put it back (about 10 seconds before each reading) for readings at 8, 15, 30 minutes, 1, 2, 4 hours and finally 24 hours.
  4. Note the temperature of the suspension at each reading, and read the control jar at the same temperature.
0.5 min1 min2 min4 min8 min15 min30 min1 h2 h4 h24 h Hydrometer stays inTake out between readingsFinal reading
Fig. 3: Reading schedule. Keep the hydrometer in for the first 4 minutes; after that, put it in only for each reading.

Corrections (Made Simple)

👁️ Meniscus correction (Cm)

Muddy water hides the true reading, so we read the top of the meniscus. Cm = difference between top and bottom readings in clear water. Rh = R’h + Cm.

🌡️ Temperature & dispersant

The dispersant and temperature change the liquid’s density. The control jar reading at the same temperature gives this correction, which is subtracted.

📏 Effective depth (HR)

For each corrected reading, read HR (in cm) from the hydrometer’s calibration chart.

Formulas and Worked Example

Particle size D (mm) = √[ 30 μ ÷ (980 × (Gs − Gw)) ] × √( HR ÷ t )
% finer N = [ 100 Gs ÷ (Ws × (Gs − 1)) ] × R (corrected reading)

μ = viscosity of water (poise) at the test temperature; Gs = specific gravity of soil; Gw = specific gravity of water at that temperature; HR in cm; t in minutes; Ws = dry weight of soil (g). If only the part passing 75 µm was tested, multiply N by (% passing 75 µm ÷ 100) to get % of the whole soil.

Example: Gs = 2.68, Ws = 50 g, temperature 27°C (μ = 0.00851 poise, Gw = 0.9965)
Reading at t = 30 min: R’h = 18.0, Cm = +0.5 → Rh = 18.5; control-jar correction = 3.0 → R = 15.5
HR from calibration chart = 13.0 cm

D = √[30 × 0.00851 ÷ (980 × 1.6835)] × √(13.0 ÷ 30) = 0.01244 × 0.6583 = 0.0082 mm (8 µm, silt size)
N = [100 × 2.68 ÷ (50 × 1.68)] × 15.5 = 3.190 × 15.5 = 49.5% finer than 0.0082 mm

Water Properties for the Calculation

Temperature (°C)Density of water (g/cm³)Viscosity (poise)
260.99680.00870
270.99650.00851
280.99630.00833
290.99600.00815
300.99570.00798
310.99540.00781
320.99510.00765
330.99470.00749
340.99440.00734

Try It: Hydrometer Calculator (One Reading)

Repeat for every reading (0.5 min to 24 h) and plot D against % finer on the same grading curve as the sieve analysis.

Precautions

🌡️ Steady temperature

Keep the suspension within ±2°C during the test, and the control jar within 1°C of it.

🤲 Don’t disturb

Put the hydrometer in and take it out slowly and gently, so the settling is not disturbed.

🧼 Clean hydrometer

Rinse the hydrometer after each reading and keep it in the control jar, so soil does not stick to it.

⏱️ Exact timing

Read at the exact times. Put the hydrometer in about 10 seconds early so it settles before the reading.

Practical Tips for Site Engineers

1. When to Ask for a Hydrometer Test

🧱 Clayey subgrades

When more than about 12% passes 75 µm, the fines decide how the soil behaves; knowing the clay content helps judge it.

⚠️ Expansive soils

High clay content along with high free swell or plasticity warns of swelling and shrinking (e.g. black cotton soil).

💧 Filters and drains

Filter design needs the full grading curve, including the fine sizes of the soil being protected.

2. Good Practice

  1. Plan the time: the test runs for 24 hours after preparation (plus soaking). Ask for it early, so it doesn’t hold up approvals.
  2. Test together: request sieve analysis, hydrometer, liquid limit and plastic limit together. The grading tells you how much is fine; the limits tell you how that fine soil behaves.
  3. Read the result simply: % finer than 2 µm = clay; % between 2 µm and 75 µm = silt. A soil with a lot of clay will be sticky, hold water and be hard to compact when wet.
  4. Quick site idea first: the jar test (shake soil in a glass jar of water and watch the layers settle) gives a rough idea of sand, silt and clay before the lab result arrives.

Key Takeaways

  • The hydrometer method measures silt and clay (finer than 75 µm) by how fast particles settle in water.
  • Use 50 g (clay) or 100 g (sandy soil) with 100 ml dispersant (33 g SHMP + 7 g sodium carbonate per litre).
  • Read at 0.5, 1, 2, 4, 8, 15, 30 min, 1, 2, 4 h and 24 h; correct for meniscus and the control jar.
  • D = √[30μ / (980(Gs − Gw))] × √(HR/t); N = [100Gs / (Ws(Gs − 1))] × R.
  • On site: ask for it for clayey or expansive soils, plan for the 24-hour test, and read it together with LL and PL.

References: IS 2720 (Part 4): Methods of Test for Soils – Grain Size Analysis (hydrometer method); IS 1498: Classification and Identification of Soils for General Engineering Purposes.

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