SOIL REPORT: Hydrometer test

 SOIL REPORT:  Hydrometer test      

Abstract: This blog post is a report of laboratory soil analysis to determine the grain size of fine-grained soils.

Apparatus:

·        Hydrometer made of glass and primarily consists of two parts:

o   A cylindrical stem with graduation marks

o   A bulb at bottom weighted with mercury

·         Dispersion cup with a mechanical stirrer with complete accessories

·         Two glass jars of 1-liter capacity

·         Deflocculating agent (sodium Hexa metaphosphate solution prepared by dissolving 33g of sodium Hexa metaphosphate and 7g of sodium carbonate in distilled water to make one-liter solution)

·         Stopwatch

·         Thermometer

·         Scale



Objective:

Hydrometers are designed to give the amount of soil, in grams, that is still in suspension.

Measure the relative density of a liquid.

Hydrometer analysis is done for grain size analysis of fine-grained soils.

The lower the density of the liquid the more the hydrometer will sink.

 

General Procedures:

·       The hydrometer test is conducted in a sedimentation cylinder usually with 50 g of oven-dried sample.

·       Sometimes 100-g samples also can be used.

·        The sedimentation cylinder is 457 mm (18 in.) high and 63.5 mm (2.5 in.) in diameter.

·       It is marked for a volume of 1000 ml.

·       Sodium hexametaphosphate generally is used as the dispersing agent.

·       The volume of the dispersed soil suspension is increased to 1000 ml by adding distilled water.

·       When a hydrometer is placed in the soil suspension at a time t, measured from the start of sedimentation it measures the specific gravity in the vicinity of its bulb at a depth L.

·       The specific gravity is a function of the number of soil particles present per unit volume of suspension at that depth.

·       Also, at a time t, the soil particles in suspension at a depth L will have a diameter smaller than D.

·       The larger particles would have settled beyond the zone of measurement.

·       By knowing the amount of soil in suspension, L, and t, we can calculate the percentage of soil by weight finer than a given diameter.

·        Note that L is the depth measured from the surface of the water to the center of gravity of the hydrometer bulb at which the density of the suspension is measured. The value of L will change with time t.

 

Our Procedures:

·       We first take a soil sample of 50 g

·       Then we take a volume of 125 ml of dispersing agent (a solution of 1L distilled water + 40g Sodium Hexametaphosphate)

·       We mix well the sample for 3 minutes then we add water to reach 1000 ml

·       We put the hydrometer inside the tube containing the sample and we take the reading after 15s, the 60s, 5min, 10min, and 30 min.

·       But because the time was limited, we couldn’t wait to have the reading when almost all the soil is settled

 

Data collection and calculation:

Hydrometer analysis is based on Stokes law. According to this law, the velocity at which grains settles out of suspension, all other factors being equal, is dependent upon the shape, weight, and size of the grain.

In case of soil, it is assumed that the soil particles are spherical and have the same specific gravity.

V is the terminal velocity of sinking of a spherical particle, it is given by;

V = 1/18 [(Gs-Gw)/n)] *D2

V = Terminal velocity of soil particle (cm/s)

D = Diameter of soil particle (cm)

Gs = Specific gravity of soil particle

Gw = specific gravity of water

n = viscosity of water (g-s/cm2)











%finer = a*Rcp*100/ws

Dmin = k*(L/T) ^0.5

PT = (%passing sieve nb 200)/ 100 = %finer*10/100

(Assume 10 %passing sieve nb 200)

Manual result:

M(soil) = 50 g

V(solution) = 125 ml

 

   Time

Hydrometer reading (RCP)

Corrected length L(cm)

 

      k

% Finer in suspense

(a=1)

 

D (mm)

 

      PT

15s

13cm

14.2

 

 

0.0133

26

0.100236

2.6

60s

12.8cm

14.25

25.6

0.0502

2.56

5min

12cm

14.3

24

0.02249

2.4

10min

11cm

14.5

22

0.016015

2.2

30min

10cm

14.7

20

0.00931

2

%finer = RCP *100/50

D=k*(L/T) ^0.5 with L(cm) and T(min)

PT = %finer*10/100

Reference:

1)     Soil lab (BAU)

2)     Book: principles of geotechnical engineering (25th edition)

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