Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Index Properties
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06 Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Index properties Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Review Clay particle-water interaction Identification of clay minerals Sedimentation analysis Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay 20 - 40 Hydrometer analysis 0.995 130 - 150 Hydrometer is a device which is used to measure the specific 1.030 gravity of liquids. 10 - 20 4.7 φ 50 60 29 -31 φ (All dimensions 50 are in mm) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Hydrometer Analysis -For a soil suspension, the particles start settling down right from the start, and hence the unit weight of soil suspension varies from top to bottom. Measurement of specific gravity of a soil suspension (Hydrometer) at a known depth at a particular time provides a point on the GSD. Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Process of Sedimentation of Dispersed Specimen W VW w 1 V S WS VS = Ws/(Gsγw) Vw = [1 -Ws/(Gsγw)] γ γ Initial unit weight of a i = [Ws+ wVw]/1 unit volume of suspension γi = [γw + Ws(Gs-1)/(Gs)] Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Process of Sedimentation of Dispersed Specimen Size d of the particles which have settled from the surface z dz through depth z in time t X X d (From Stroke’s Law): 18µ z d = (Gs −1)γ w td Note: Above the level X – X, no particle of size > d will be present. In elemental depth dz, suspension may be uniform and particles of the size smaller than d exist. Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Process of Sedimentation of Dispersed Specimen If the percentage of weight of particles finer than d (already sedimented) to the original weight of soil solids in the suspension is N′ Then: Weight of solids per unit volume of suspension at depth z = (N′)(W/V) (i.e. Ws = W/V) Unit Weight of suspension after elapsing time td at depth z is γz = [γw + N′(W/V)(Gs-1)/(Gs)] N′ = [GS/(GS-1)[γz - γw](V/W) N′ in % Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Process of Sedimentation of Dispersed Specimen But γz = GSSγw = (1 + Rh/1000) γw Where GSS = Sp. Gravity of Soil Suspension (Graduated on hydrometer from 0.995 – 1.030) Rh is the reading on Hydrometer N′ = [GS/(GS-1)](Rh/1000) (V/W) = (GS/(GS-1) (Rh/W) For V = 1000 c.c. Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Calibration or Immersion correction for Hydrometer H Vh/(AJ) x´ x´ x x y´ h/2 h y´ e h = height of the bulb y y H = Height of any reading Rh Vh/(2AJ) AJ = Area of C/S of Jar Vh = Vol. of hydrometer Before the immersion After the immersion of hydrometer of hydrometer he = [H+h/2+Vh/(2AJ)-Vh/AJ) = (H+h/2) - Vh/(2AJ) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Conversion of Rh = 0; Gss = 1.00 Rh into He R = (G -1)103 h SS He1 he Rh = 30; Gss = 1.030 Plot of Rh with He – Valid for a particular He2 hydrometer he = He1-[(He1-He2)/30]Rh up to 4 min. he = He1-[(He1-He2)/30]Rh – Vh/(2AJ) after 4 min. Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Hydrometer corrections N′ = (GS/(GS-1) R/W R = Rh+ Cm ± Ct - Cd N = N′[W /W ] R = Corrected observed combined 75 T reading Where, W75 = Wt. of soil passing 75µ WT = Total wt. of Soil taken for combined Sieve and Hydrometer Analysis Cm = Meniscus correction (Always + ) Because density readings increase downwards Ct = + for T > 27°C (Rh will be less than what it should be) = - for T < 27 °C (Rh will be more than what it should be) Cd = Always Negative (Dispersion agent concentration!!) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay µ Example on Hydrometer analysis (kaolin) Given Data: Volume of suspension = 1000 ml Volume of hydrometer, Vh= 90 cc Weight of dry soil, Ms = 50 g Specific gravity of soil, G = 2.62 2 Cross- sectional area of jar, Aj = 31.0075 cm Room temperature, T = 27º C Dispersing agent correction, Cm= 0.0004 Meniscus correction, Cd= 0.0034 Temperature correction, Ct = 0.9965 Viscosity of water, = 8.545 x 10-7 kN-sec/m2 Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Example on Hydrometer analysis (kaolin) H’e1 = Maximum depth to centre of bulb from Rh = 0.995 = 21 cm H’e2 = Maximum depth to centre of bulb from Rh = 1.030 = 9 cm At t = 2 min, Rh = 1.0285 Since H’e varies linearly with reading Rh Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Example on Hydrometer analysis (kaolin) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Example on Hydrometer analysis (kaolin) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Example on Hydrometer analysis 100 80 60 Percent finer (%) 40 20 0 0.001 0.01 0.1 1 Particle size (mm) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Limitations of Stroke’s law -Soil particles are not truly spherical and sedimentation is done in a jar (For d > 0.2 mm causes turbulence in water and d < 0.0002 mm Brownian movement occurs (too small velocities of settlement) --- Can be eliminated with less concentrations. -Floc formation due to inadequate dispersion -Unequal Sp.Gr of all particles (insignificant for soil particles with fine fraction) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Measures of Gradation D60 = dia. of soil particles for which 60 % of the particles are finer. (i.e. 60 % of the particles are finer and 40 % coarser than D60) D10: Effective Particle Size D50 : Average Particle Size (10 % Finer and 90 % coarser than D10 size) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Measures of Gradation -Engineers frequently like to use a variety of coefficients to describe the uniformity versus the well-graded nature of soils. D30 = 0.3 mm Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Measures of Gradation Some commonly used measures are: The uniformity coefficient Cu = D60/D10 Soils with Cu < 4 are considered to be poorly graded or uniform. Cu > 4 – 6 Well Graded Soil Coefficient of Gradation or Curvature 2 Cc = (D30 )/(D60*D10) Cc = 1- 3 Soil is well-graded. Higher the value of Cu the larger the range of particle sizes in the soil Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Typical characteristics of GSD curves -Steep Curves ⇒ Low Cu values ⇒ Poorly graded soil (Uniformly graded). (Cu < 5 for uniform soils) -Flat Curves ⇒ High Cu values ⇒ Well graded soil. -Most gap graded soils have a Cc outside the range. (an absence of intermediate particle sizes) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Typical GSDs for Residual soils Young residual Intermediate maturing Fully maturing ⇒ A residual deposit has its particle sizes constantly changing with time as the particles continue to break down… GSD can provide an indication of soil’s history Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Typical GSDs for Transported soils Glacial Glacial-Alluvial River deposits may be well-graded, uniform or gap-graded, depending up on the water velocity, the volume of suspended solids, and the river area where deposition occurred. Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Grain Size Curves for different soils Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Particle size distribution of Bentonite, Illite, and Kaolinite clay After Koch (2002) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Gradation % Gravel = 0 % Sand = (100 – 60) = 40 % Silt = (60 – 12) = 48 % Clay = 12 % Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Example problem Determine the percentage of gravel (G), Sand (S), Silt (M), and Clay (C) of soils A,B and C Soil C: 0%G; 31%S; 57%M; 12%C (Well graded sandy silt) Soil B: 0%G; 61%S; 31%M; 7%C (Well graded silty sand) Soil A: 2%G; 98%S; 0%M; 0%C (Poorly-graded sand) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Some applications of GSA in Geotechnology and construction Embankment -Selection of fill material Earth Dams -Road Sub-Base Material -Drainage Filters -Ground Water Drainage -Grouting and Chemical Injection -Concreting Materials -Dynamic Compaction Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Practical Significance of GSD -GSD of soils smaller than 0.075 mm (#200) is of little importance in the solution of engineering problems. GSDs larger than 0.075 mm have several important uses. 1) GSD affects the void ratio of soils and provides useful information for use in cement and asphalt concretes. (Well graded aggregates require less cement per unit of volume of concrete to produce denser concrete, less permeable and more resistant to weathering) Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay Practical Significance of GSD 2) A knowledge of the amount of percentage fines and the gradation of coarse particles is useful in making a choice of material for base courses under highways, runways, rail tracks etc., 3) To determine the activity of clay based on percentage clay fraction (<2µ) 4) To design filters (Filters are used to control seepage) and pores must be small enough to prevent particles from being carried from the adjacent soil.