CE161P-2 GEOTECHNICAL ENGINEERING 1 MODULE 2 SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION DETERMINATION OF PARTICLE SIZE OF SOILS Soils generally are called gravel, sand, silt, or clay, depending on the predominant size of particles within the soil. ©Google 4 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION DETERMINATION OF PARTICLE SIZE OF SOILS Soils generally are called gravel, sand, silt, or clay, depending on the predominant size of particles within the soil. To describe soils by their particle size, various classification systems have evolved over the years to describe soils based on their particle size distribution. Such as: Massachusetts Institute of Technology (MIT) U.S. Department of Agriculture (USDA) Unified Soil Classification System (USCS), the American Association of State Highway Transportation Official (AASHTO); American Society for Testing and Materials (ASTM) – a modification of the USCS system; and o British Standards (BS) o o o o o 5 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION DETERMINATION OF PARTICLE SIZE OF SOILS Comparison of four systems for describing soils based on particle size. 6 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION DETERMINATION OF PARTICLE SIZE OF SOILS Comparison of four systems for describing soils based on particle size. © Budhu, M. (2011) 7 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION DETERMINATION OF PARTICLE SIZE OF SOILS Soil can be classified based on particle size into two primary categories: coarsegrained and fine-grained soils. Mechanical analysis is the determination of the size range of particles present in a soil. Two methods generally are used to find the particle-size distribution of soil: 1) sieve analysis—for particle sizes larger than 0.075 mm in diameter, and 2) hydrometer analysis—for particle sizes smaller than 0.075 mm in diameter. 8 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION DETERMINATION OF PARTICLE SIZE OF SOILS They are determined through sieve analysis (ASTM D6913; AS 1289.3.6.1) in coarse-grained soils and through hydrometer analysis (ASTM D422; AS 1289.3.6.3) in fine-grained soils. The relative proportions of the different grain sizes in a soil are quantified in the form of grain size distribution, particularly for course-grained soil. 9 SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PARTICLE SIZE OF COARSE-GRAINED SOILS The determination of particle size distribution or mean grain diameter for coarse-grained soils involves sieving a measured soil weight through a series of sieves. In sieve analysis, a coarse-grained soil is passed through a set of sieves stacked, with smaller openings at the bottom and progressively larger ones towards the top, through which the coarse-grained soil is passed. Sieve no. 4 Sieve no. 10 Sieve no. 100 11 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PARTICLE SIZE OF COARSE-GRAINED SOILS The grain size distribution data is generally presented in the form of a grain size distribution curve. Since the grain sizes vary in a wide range, they are usually shown on a logarithmic scale. 12 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PARTICLE SIZE OF COARSE-GRAINED SOILS In the grain size distribution curve, the percentage passing is plotted against the corresponding grain size. The results are plotted on a graph of percent of particles finer than a given sieve size (Note: not the percent retained) as the ordinate versus the logarithm of the particle sizes as shown in the particle size distribution curve. The percent finer (or % passing) is: %𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇 𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕 𝒊𝒊𝐭𝐭𝐭𝐭 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔 = 𝟏𝟏𝟏𝟏𝟏𝟏 − � 𝒊𝒊 (%𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓 𝒐𝒐𝒐𝒐 𝒊𝒊𝒊𝒊𝒊𝒊 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔) 𝒊𝒊=𝟏𝟏 13 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PARTICLE SIZE OF COARSE-GRAINED SOILS Sample Problem: 1. 900 g soil was sent through the sieves, and the masses retained are shown in the figure in the right. What is the percentage of soil finer than 0.425 mm. %𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇 𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕 𝟑𝟑𝟑𝟑𝟑𝟑 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔 (𝟎𝟎. 𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒) 𝒊𝒊 = 𝟏𝟏𝟏𝟏𝟏𝟏 − � (%𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓𝒓 𝒐𝒐𝒐𝒐 𝒊𝒊𝒊𝒊𝒊𝒊 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔) 𝒊𝒊=𝟏𝟏 = 𝟏𝟏𝟏𝟏𝟏𝟏 − (𝟖𝟖. 𝟖𝟖𝟖𝟖 + 𝟐𝟐𝟐𝟐 + 𝟐𝟐𝟐𝟐. 𝟐𝟐𝟐𝟐) = 𝟒𝟒𝟒𝟒. 𝟗𝟗𝟗 14 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PARTICLE SIZE OF COARSE-GRAINED SOILS Sample Problem: 1. 900 g soil was sent through the sieves, and the masses retained are shown in the figure in the right. What is the percentage of soil finer than 0.425 mm. (𝟐𝟐𝟐𝟐𝟐𝟐 + 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟔𝟔𝟔𝟔) 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏 %𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇𝒇 𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕 𝟑𝟑𝟑𝟑𝟑𝟑 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔 𝟎𝟎. 𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒 = 𝟗𝟗𝟗𝟗𝟗𝟗 Interpretation: = 𝟒𝟒𝟒𝟒. 𝟗𝟗% “That 48.9% of the soil is finer than 0.425mm.” OR “That 48.9% of the soil passes thru 0.425mm (Sieve No. 40)” 15 SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION A coarse-grained soil is said to be well-graded if it consists of soil grains representing a wide range of sizes where the smaller grains fill the voids created by the larger grains, thus producing a dense packing. A coarse-grained soil that cannot be described as well-graded is a poorly graded soil. Uniformly graded soils and gap-graded soils are two special cases of poorly graded soils. In uniformly graded soils, most of the grains are about the same size or vary within a narrow range. Some references referred this type of soil as "poorly-graded." In a gap-graded soil, there are no grains in a specific size range. 17 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION WELL-GRADED POORLY-GRADED GAP-GRADED UNIFORMLY-GRADED 18 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION The grain size distribution gives a complete and quantitative picture of the relative proportions of the different grain sizes within the soil mass. At this stage, let’s define some important grain sizes such as D10, D30, D50 and D60, which are used to define the shape of the grain size distribution curve. D10 is the grain size corresponding to 10% passing; i.e., 10% of the grains are smaller than this size. Similar definitions hold for D30, D50, D60, etc. 19 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION The diameter D10 is called the effective size of the soil and was described by Allen Hazen (1892) in connection with his work on soil filters. The effective size is particularly important in regulating the flow of water through soils, and can dictate the mechanical behavior of soils The higher the D10 value, the coarser the soil and the better the drainage characteristics. D50 is the average grain size diameter of the soil. 20 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION Sample Problem: 1. [continuation] 900 g soil was sent through the sieves, and the masses retained are shown in the figure in the right. What is the percentage of soil finer than 0.425 mm. 21 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION Sample Problem: 1. 900 g soil was sent through the sieves, and the masses retained are shown in the figure in the right. What is the percentage of soil finer than 0.425 mm. Solving for D10; 𝟏𝟏𝟏𝟏 − 𝟔𝟔. 𝟕𝟕 𝟐𝟐𝟐𝟐. 𝟐𝟐 − 𝟔𝟔. 𝟕𝟕 = (𝒍𝒍𝒍𝒍𝒍𝒍 𝒙𝒙 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎) 𝐥𝐥𝐥𝐥𝐥𝐥 𝟎𝟎. 𝟏𝟏𝟏𝟏 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 𝒙𝒙 = 𝟎𝟎. 𝟎𝟎𝟎𝟎 𝒎𝒎𝒎𝒎 Through interpolation, D10 = 0.09 mm, D30 = 0.20 mm, and D60 = 1.42 mm. 22 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION The shape of the grain size distribution curve is described through two simple parameters: the coefficient of uniformity (Cu) and the coefficient of curvature (Cc)**. 𝒊𝒊 𝐷𝐷60 𝑪𝑪𝒖𝒖 = 𝐷𝐷10 𝒊𝒊𝒊𝒊 𝐷𝐷30 2 𝑪𝑪𝒄𝒄 = 𝐷𝐷10 𝐷𝐷60 **Other references uses other terms for Cc such as coefficient of gradation and the coefficient of concavity. 23 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION The Coefficient of uniformity, Cu value ranges from 1 to higher values, representing particle size diversity. Uniform graded A Cu < 4 signifies uniform-sized particles, while values Cu > 4 indicate a broader range of particle sizes. 24 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION Coefficient of curvature, Cc, ranges from 1 to 3 for well-graded soils. Uniform graded A Cc outside this range, along with a sharp slope change in the particle size distribution curve indicates gap-graded soils with missing grain sizes. 25 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SIZE DISTRIBUTION Summary Uniform Graded (or poorly-graded) soils have uniformity coefficients, Cu < 4 and steep gradation curves. Well-graded soils have uniformity coefficients, Cu > 4, and coefficients of curvature, Cc between 1 and 3, and flat gradation curves. Gap-graded soils have coefficients of curvature, Cc < 1 or > 3, and one or more humps on the gradation curves. Uniform graded 26 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION GRAIN SHAPE Shapes of the grains can be angular, subangular, subrounded, or rounded. When the grains are angular there is more interlocking among the grains, and therefore the strength and stiffness of the soils would be greater. For example, in roadwork, angular aggregates would provide better interlocking and resistance against dislodgement. 27 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3. A sample of a dry, coarse-grained material of mass 500 grams was shaken through a nest of sieves, and the following results were obtained: Sieve no. Opening (mm) Mass Retained (g) 4 4.75 0 10 2.00 14.8 20 0.85 98 40 0.425 90.1 100 0.15 181.9 200 0.075 108.8 Pan 6.1 a. Plot the particle size distribution (gradation) curve. b. Determine (1) the effective size, (2) the average particle size, (3) the uniformity coefficient, and (4) the coefficient of curvature. c. Describe the textural composition of the soil using the USCS classification. 28 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.a. Plot the particle size distribution (gradation) curve. Sieve no. Opening (mm) Mass Retained (g) % Finer 4 4.75 0 100 10 2.00 14.8 97.04 20 0.85 98 77.43 40 0.425 90.1 59.40 100 0.15 181.9 22.99 200 0.075 108.8 1.22 Pan 6.1 499.7** **The reduction in mass is due to losses mainly from a small quantity of soil that gets stuck in the meshes of the sieves. You should use the “after sieving” total mass of 499.7 grams in the calculations. 29 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.b. Determine (1) the effective size, (2) the average particle size, (3) the uniformity coefficient, and (4) the coefficient of curvature. (1) Effective size, D10 Based on the graph, D10 = 0.1 mm 30 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.b. Determine (1) the effective size, (2) the average particle size, (3) the uniformity coefficient, and (4) the coefficient of curvature. (1) Effective size, D10 𝟏𝟏𝟏𝟏 − 𝟏𝟏. 𝟐𝟐𝟐𝟐 𝟐𝟐𝟐𝟐. 𝟗𝟗𝟗𝟗 − 𝟏𝟏. 𝟐𝟐𝟐𝟐 = (𝒍𝒍𝒍𝒍𝒍𝒍 𝒙𝒙 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎) 𝐥𝐥𝐥𝐥𝐥𝐥 𝟎𝟎. 𝟏𝟏𝟏𝟏 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 Sieve no. Opening (mm) Mass Retained (g) % Finer 4 4.75 0 100 10 2.00 14.8 97.04 20 0.85 98 77.43 40 0.425 90.1 59.40 100 0.15 181.9 22.99 200 0.075 108.8 1.22 Pan 6.1 𝒙𝒙 = 𝑫𝑫𝟏𝟏𝟏𝟏 = 𝟎𝟎. 𝟏𝟏 𝒎𝒎𝒎𝒎 31 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.b. Determine (1) the effective size, (2) the average particle size, (3) the uniformity coefficient, and (4) the coefficient of curvature. (2) Average particle size, D50 𝟓𝟓𝟓𝟓 − 𝟐𝟐𝟐𝟐. 𝟗𝟗𝟗𝟗 𝟓𝟓𝟓𝟓. 𝟒𝟒𝟒𝟒 − 𝟐𝟐𝟐𝟐. 𝟗𝟗𝟗𝟗 = (𝒍𝒍𝒍𝒍𝒍𝒍 𝒙𝒙 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟏𝟏𝟏𝟏) 𝐥𝐥𝐥𝐥𝐥𝐥 𝟎𝟎. 𝟒𝟒𝟒𝟒𝟒𝟒 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟏𝟏𝟏𝟏 Sieve no. Opening (mm) Mass Retained (g) % Finer 4 4.75 0 100 10 2.00 14.8 97.04 20 0.85 98 77.43 40 0.425 90.1 59.40 100 0.15 181.9 22.99 200 0.075 108.8 1.22 Pan 6.1 𝒙𝒙 = 𝑫𝑫𝟓𝟓𝟓𝟓 = 𝟎𝟎. 𝟑𝟑𝟑𝟑 𝒎𝒎𝒎𝒎 32 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.b. Determine (1) the effective size, (2) the average particle size, (3) the uniformity coefficient, and (4) the coefficient of curvature. (3) the uniformity coefficient, Cu 𝑫𝑫𝟔𝟔𝟔𝟔 𝑪𝑪𝒖𝒖 = 𝑫𝑫𝟏𝟏𝟏𝟏 Sieve no. Opening (mm) Mass Retained (g) % Finer 4 4.75 0 100 10 2.00 14.8 97.04 20 0.85 98 77.43 40 0.425 90.1 59.40 100 0.15 181.9 22.99 200 0.075 108.8 1.22 Pan 6.1 Solving for 𝐷𝐷60 ; 𝟔𝟔𝟔𝟔 − 𝟓𝟓𝟓𝟓. 𝟒𝟒𝟒𝟒 𝟕𝟕𝟕𝟕. 𝟒𝟒𝟒𝟒 − 𝟓𝟓𝟓𝟓. 𝟒𝟒𝟒𝟒 = (𝒍𝒍𝒍𝒍𝒍𝒍 𝒙𝒙 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟒𝟒𝟒𝟒𝟒𝟒) 𝐥𝐥𝐥𝐥𝐥𝐥 𝟎𝟎. 𝟖𝟖𝟖𝟖 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟒𝟒𝟒𝟒𝟒𝟒 𝒙𝒙 = 𝑫𝑫𝟔𝟔𝟔𝟔 = 𝟎𝟎. 𝟒𝟒𝟒𝟒 𝒎𝒎𝒎𝒎 33 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.b. Determine (1) the effective size, (2) the average particle size, (3) the uniformity coefficient, and (4) the coefficient of curvature. (3) the uniformity coefficient, Cu 𝑫𝑫𝟔𝟔𝟔𝟔 𝑪𝑪𝒖𝒖 = 𝑫𝑫𝟏𝟏𝟏𝟏 Sieve no. Opening (mm) Mass Retained (g) % Finer 4 4.75 0 100 10 2.00 14.8 97.04 20 0.85 98 77.43 40 0.425 90.1 59.40 100 0.15 181.9 22.99 200 0.075 108.8 1.22 Pan 6.1 𝟎𝟎. 𝟒𝟒𝟒𝟒 𝑪𝑪𝒖𝒖 = = 𝟒𝟒. 𝟑𝟑 𝟎𝟎. 𝟏𝟏 34 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.b. Determine (1) the effective size, (2) the average particle size, (3) the uniformity coefficient, and (4) the coefficient of curvature. (3) the coefficient of curvature, Cc 𝑫𝑫𝟑𝟑𝟎𝟎 𝟐𝟐 𝑪𝑪𝒄𝒄 = 𝑫𝑫𝟏𝟏𝟏𝟏 𝑫𝑫𝟔𝟔𝟔𝟔 Sieve no. Opening (mm) Mass Retained (g) % Finer 4 4.75 0 100 10 2.00 14.8 97.04 20 0.85 98 77.43 40 0.425 90.1 59.40 100 0.15 181.9 22.99 200 0.075 108.8 1.22 Pan 6.1 Solving for D30; 𝟑𝟑𝟎𝟎 − 𝟐𝟐𝟐𝟐. 𝟗𝟗𝟗𝟗 𝟓𝟓𝟓𝟓. 𝟒𝟒𝟒𝟒 − 𝟐𝟐𝟐𝟐. 𝟗𝟗𝟗𝟗 = (𝒍𝒍𝒍𝒍𝒍𝒍 𝒙𝒙 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟏𝟏𝟓𝟓) 𝐥𝐥𝐥𝐥𝐥𝐥 𝟎𝟎. 𝟒𝟒𝟒𝟒𝟒𝟒 − 𝒍𝒍𝒍𝒍𝒍𝒍 𝟎𝟎. 𝟏𝟏𝟏𝟏 𝒙𝒙 = 𝑫𝑫𝟑𝟑𝟑𝟑 = 𝟎𝟎. 𝟏𝟏𝟏𝟏 𝒎𝒎𝒎𝒎 35 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.b. Determine (1) the effective size, (2) the average particle size, (3) the uniformity coefficient, and (4) the coefficient of curvature. (3) the coefficient of curvature, Cc 𝑫𝑫𝟑𝟑𝟎𝟎 𝟐𝟐 𝑪𝑪𝒄𝒄 = 𝑫𝑫𝟏𝟏𝟏𝟏 𝑫𝑫𝟔𝟔𝟔𝟔 Sieve no. Opening (mm) Mass Retained (g) % Finer 4 4.75 0 100 10 2.00 14.8 97.04 20 0.85 98 77.43 40 0.425 90.1 59.40 100 0.15 181.9 22.99 200 0.075 108.8 1.22 Pan 6.1 𝑫𝑫𝟑𝟑𝟎𝟎 𝟐𝟐 (𝟎𝟎. 𝟏𝟏𝟏𝟏)𝟐𝟐 = 𝟎𝟎. 𝟕𝟕𝟕𝟕 𝑪𝑪𝒄𝒄 = = 𝑫𝑫𝟏𝟏𝟏𝟏 𝑫𝑫𝟔𝟔𝟔𝟔 (𝟎𝟎. 𝟏𝟏)(𝟎𝟎. 𝟒𝟒𝟒𝟒) 36 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 3.c. Describe the textural composition of the soil using the USCS classification (i.e., the amount of gravel, sand, etc.). Sieve no. Opening (mm) Mass Retained (g) % Finer 4 4.75 0 100 10 2.00 14.8 97.04 20 0.85 98 77.43 40 0.425 90.1 59.40 100 0.15 181.9 22.99 200 0.075 108.8 1.22 Pan 6.1 499.7 ∴ 𝐭𝐭𝐭𝐭𝐭𝐭 𝐬𝐬𝐬𝐬𝐬𝐬𝐬𝐬 𝐢𝐢𝐢𝐢 𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜𝐜 𝐨𝐨𝐨𝐨 𝐆𝐆𝐆𝐆𝐆𝐆𝐆𝐆𝐞𝐞𝐞𝐞 = 𝟎𝟎𝟎; 𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒 = 𝟗𝟗𝟗𝟗. 𝟕𝟕𝟕𝟕%; 𝐚𝐚𝐚𝐚𝐚𝐚, 𝐒𝐒𝐒𝐒𝐒𝐒𝐒𝐒/𝐂𝐂𝐂𝐂𝐂𝐂𝐂𝐂 = 𝟏𝟏. 𝟐𝟐𝟐𝟐% 37 SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PARTICLE SIZE OF FINE-GRAINED SOILS The common laboratory method used to determine the size distribution of fine-grained soils is a hydrometer test. The hydrometer test involves mixing a small amount of soil into a suspension and observing how the suspension settles in time. As the grains settle, the density of the suspension decreases. The time-density record is translated into grain percentage passing data using Stokes’law. The hydrometer data can be merged with those from sieve analysis for the complete grain size distribution. size 39 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PARTICLE SIZE OF FINED-GRAINED SOILS Stoke’s Law 𝑫𝑫 = where; 𝟏𝟏𝟏𝟏𝝁𝝁𝝁𝝁 (𝑮𝑮𝒔𝒔 − 𝟏𝟏)𝝆𝝆𝒘𝒘 𝒈𝒈𝒕𝒕𝑫𝑫 D = diameter (cm) ρw = density of water (1 g/cm3) tD = time (seconds) g = acceleration due to gravity (981 cm/s2) μ = viscosity of water (0.01 g/cm-s at 20OC) Gs = specific gravity of soil particles (For most soils, Gs = 2.7) z = depth (cm) 40 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 2. At a certain stage in a hydrometer test, the vertical distance moved by soil particles of a certain size over a period of 1 minute is 0.8 cm. The temperature measured is 20°C. If the specific gravity of the soil particles is 2.7, calculate the diameter of the particles using Stokes’s law. Are these silt or clay particles? 𝑫𝑫 = 𝟏𝟏𝟏𝟏𝝁𝝁𝝁𝝁 = (𝑮𝑮𝒔𝒔 − 𝟏𝟏)𝝆𝝆𝒘𝒘 𝒈𝒈𝒕𝒕𝑫𝑫 D = diameter (cm) = ? 𝟏𝟏𝟏𝟏 ∗ 𝟎𝟎. 𝟎𝟎𝟎𝟎 ∗ 𝟎𝟎. 𝟖𝟖 = 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎 𝒄𝒄𝒄𝒄 = 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 𝒎𝒎𝒎𝒎 𝟐𝟐. 𝟕𝟕 − 𝟏𝟏 ∗ 𝟏𝟏 ∗ 𝟗𝟗𝟗𝟗𝟗𝟗 ∗ 𝟔𝟔𝟔𝟔 ρw = density of water = 1 g/cm3 at 20OC tD = time (seconds) = 1 minute = 60 seconds g = acceleration due to gravity = 981 cm/s2 μ = viscosity of water = 0.01 gram/cm-s at 20OC Gs = 2.7 z = depth (cm) = 0.8 cm 41 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 2. At a certain stage in a hydrometer test, the vertical distance moved by soil particles of a certain size over a period of 1 minute is 0.8 cm. The temperature measured is 20°C. If the specific gravity of the soil particles is 2.7, calculate the diameter of the particles using Stokes’s law. Are these silt or clay particles? 𝑫𝑫 = 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 𝒎𝒎𝒎𝒎; ∴ 𝐭𝐭𝐭𝐭𝐭𝐭 𝐬𝐬𝐬𝐬𝐬𝐬𝐬𝐬 𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩𝐩 𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛 𝐭𝐭𝐭𝐭 𝐭𝐭𝐭𝐭𝐭𝐭 𝐬𝐬𝐬𝐬𝐬𝐬𝐬𝐬 𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟𝐟 𝐨𝐨𝐨𝐨 𝐭𝐭𝐭𝐭𝐭𝐭 𝐬𝐬𝐬𝐬𝐬𝐬𝐬𝐬. 42 SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS In 1911, Swedish scientist A. Atterberg developed the Atterberg limits for pottery and were later modified to suit geotechnical engineering needs by Arthur Casagrande in 1932. When a dry fine-grained soil is mixed with water in small increments, the soil will pass through distinct states known as solid, semi-solid, plastic solid and liquid. 44 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Atterberg limits are simply borderline water contents that separate the different consistencies the fine-grained soils can have. These borderline water contents are shrinkage limit, plastic limit and liquid limit. 45 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Starting from point A down to point B, the soil flows like a liquid. At point B, the soil becomes so stiff that it can no longer flow as a liquid. The boundary water content at point B is called the Liquid Limit (LL). As the soil continues to dry, there is a range of water content at which the soil can be molded into any desired shape without rupture - this state is said to exhibit plastic behavior. 46 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Liquid Limit (LL) The liquid limit is determined from an apparatus that consists of a semispherical brass cup that is repeatedly dropped onto a hard rubber base from a height of 10 mm by a cam-operated mechanism. Arthur Casagrande (1932) developed this apparatus, and the procedure for the test is called the Casagrande cup method (ASTM D 4318; AS 1289.3.1.1). 47 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Liquid Limit (LL) Four or more tests at different water content are usually required for terminal blows (number of blows to close the groove over a distance of 12.5 mm) ranging from 10 to 40*. The results are presented in a plot of water content (ordinate, arithmetic scale) versus terminal blows (abscissa, logarithmic scale). The best-fit straight line to the data points, usually called the flow line, is drawn 48 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Liquid Limit (LL) The Liquid Limit is read from the graph as the water content on the liquid state line corresponding to 25 blows. 49 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 4. Results from liquid and plastic limit tests conducted on a soil are given below. Liquid limit tests: Number of Blows, N Moisture Content (%) 14 38.4 16 36.5 20 33.1 28 27.0 Plastic limit tests: PL = 13.4% Ans: a. Determine the liquid limit. (a) 29.05% b. What is the plasticity index of the soil? (b) 15.65% 50 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Liquid Limit (LL) Another method also in determining the liquid limit is through the Swedish fall cone method (ASTM D4318; AS 1289.3.9.1). The water content corresponding to a cone penetration of 20 mm defines the liquid limit. Similar with the Casagrande cup method, four or more tests at different water contents are also required because of the difficulty of achieving the liquid limit from a single test. Based on flow line, the liquid limit is read from the plot as the water content on the liquid state line corresponding to a penetration of 20 mm. 51 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS As the soil continues to dry, there is a range of water content at which the soil can be molded into any desired shape without rupture - this state is said to exhibit plastic behavior. The water content at which the soil changes from a plastic to a semisolid is known as the Plastic limit (PL). 52 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS The range of water contents over which the soil deforms plastically is known as the Plasticity Index, PI. 𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷 𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰, 𝑷𝑷𝑷𝑷 = 𝑳𝑳𝑳𝑳 − 𝑷𝑷𝑷𝑷 Burmister (1949) classified the plasticity index in a qualitative manner as follows: 53 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Plastic Limit (LL) The plastic limit is determined by rolling a small clay sample into threads and finding the water content at which threads approximately 3mm in diameter will just start to crumble (Plastic Limit Test – ASTM D 4318; AS 1289.3.2.1) . Two or more determinations are made, and the average water content is reported as the plastic limit. 54 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS But, if drying is continued beyond the range of water content for plastic behavior, the soil becomes a semisolid. The soil cannot be molded now without visible cracks appearing. As the soil continues to dry, it comes to a final state called the solid state. At this state, no further volume change occurs since nearly all the water in the soil has been removed. The water content at which the soil changes from a semisolid to a solid is called the Shrinkage Limit (SL). 55 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Shrinkage Limit (SL) The shrinkage limit is determined as follows. A mass of wet soil, M1, is placed in a porcelain dish and then oven-dried. The volume of oven-dried soil is determined by using mercury (ASTM D 427) to occupy the vacant spaces caused by shrinkage. The mass of the mercury is determined, and the volume decrease caused by shrinkage can be calculated from the known density of mercury. **Vi = V1; Vf = V2 56 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Shrinkage Limit (SL) SL can be determined as difference between the initial moisture content when the soil is placed in the shrinkage limit dish and the change in moisture content (that is, between the initial moisture content and the moisture content at the shrinkage limit). 𝑴𝑴𝟏𝟏 − 𝑴𝑴𝟐𝟐 𝑽𝑽𝟏𝟏 − 𝑽𝑽𝟐𝟐 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳, 𝑺𝑺𝑺𝑺 = − 𝝆𝝆𝒘𝒘 𝐱𝐱 𝟏𝟏𝟏𝟏𝟏𝟏 𝑴𝑴𝟐𝟐 𝑴𝑴𝟐𝟐 where M1 is the mass of the wet soil, M2 is the mass of the oven-dried soil, V1 is the volume of wet soil, V2 (= mass of mercury/density of mercury) is the volume of the oven dried soil. 57 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Shrinkage Limit (SL) Another parameter that can be determined from a shrinkage limit test is the shrinkage ratio, which is the ratio of the volume change of soil as a percentage of the dry volume to the corresponding change in moisture content. ∆𝑽𝑽 ∆𝑽𝑽 𝑴𝑴𝟐𝟐 𝑽𝑽𝟐𝟐 𝑽𝑽𝟐𝟐 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑹𝑹𝑹𝑹𝑹𝑹𝑹𝑹𝑹𝑹, 𝑺𝑺𝑺𝑺 = = = ∆𝑽𝑽𝝆𝝆𝒘𝒘 ∆𝑴𝑴 𝑽𝑽𝟐𝟐 𝝆𝝆𝒘𝒘 𝑴𝑴𝟐𝟐 𝑴𝑴𝟐𝟐 58 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Shrinkage Limit (LL) Linear shrinkage (LS) is a simple test to measure the potential of the clay to shrink. The linear shrinkage ratio, LS, is: 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺, 𝑳𝑳𝑳𝑳 = 𝟏𝟏 − 𝟑𝟑 𝑽𝑽𝟐𝟐 𝑽𝑽𝟏𝟏 59 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Shrinkage Limit (LL) Through the shrinkage limit test, the specific gravity of soil solid could also be determined through: 𝑮𝑮𝒔𝒔 = 𝟏𝟏 𝟏𝟏 𝑺𝑺𝑺𝑺 − 𝑺𝑺𝑺𝑺 𝟏𝟏𝟏𝟏𝟏𝟏 ; 𝑺𝑺𝑺𝑺 𝒊𝒊𝒊𝒊 𝒊𝒊𝒊𝒊 (%) 60 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 5. Following are the results of a shrinkage limit test: • • • • Initial volume of soil in a saturated state = 24.6 cm3 Final volume of soil in a dry state = 15.9 cm3 Initial mass in a saturated state = 44.0 g Final mass in a dry state = 30.1 g Determine the following (a) 17.28% a. Shrinkage Limit (b) 1.89 b. Shrinkage Ratio; and c. Specific Gravity of Soil Solids (c) 2.81 61 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS At one extreme, the liquid state, the soil has the lowest strength and the largest deformation. At the other extreme, the solid state, the soil has the largest strength and the lowest deformation. A measure of soil strength using the Atterberg limits is known as the liquidity index (LI) and is expressed as: 𝒘𝒘 − 𝑷𝑷𝑷𝑷 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰, 𝑳𝑳𝑳𝑳 = 𝑷𝑷𝑷𝑷 62 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Strength of Fine-Grained Soils Based on Liquidity Index 63 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Another index that is commonly used for engineering purposes is the consistency index (CI), which may be defined as: 𝑳𝑳𝑳𝑳 − 𝒘𝒘 𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪 𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰, 𝑪𝑪𝑪𝑪 = 𝑳𝑳𝑳𝑳 − 𝑷𝑷𝑷𝑷 64 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Let’s consider two different fine-grained soils X (20% clay and 80% silts) and Y (80% clay and 20% silts), having the same plasticity index of 40. In X, the 20% clay contributes to all the plasticity, whereas in Y, there is a significantly larger quantity of clay contributing to the same degree of plasticity. Understandably, the clay component in X is more plastic than the one in Y. 65 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION PHYSICAL STATES OF FINE-GRAINED SOILS Skempton (1953) showed that for soils with a particular mineralogy, the plasticity index is linearly related to the amount of the clay fraction. He coined a term called activity (A) to describe the importance of the clay fractions on the plasticity index. 𝑷𝑷𝑷𝑷 𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨𝑨, 𝑨𝑨 = 𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪 𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭 (%) 66 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Summary Fine-grained soils can exist in one of four states: solid, semisolid, plastic, or liquid. Water is the agent that is responsible for changing the states of soils. The liquid (LL), plastic (PL), and shrinkage (SL) limits are, respectively, the moisture contents (%) at which the consistency of soil changes from liquid to plastic stage, plastic to semisolid stage, and semisolid to solid stage. 68 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 6. A fine-grained soil has a liquid limit of 300% and a plastic limit of 55%. The natural water content of the soil in the field is 80% and the clay content is 60%. a. Determine the plasticity index, the liquidity index, and the activity. b. What is the soil state in the field? Ans: (a) 245%, 0.1, and 4.1 respectively (b) LI = 0.1 is at the low end of the plastic state. 69 CE161P-2 GEOTECHNICAL ENGINEERING 1 MODULE 2 PART II SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Different soils with similar properties may be classified into groups and subgroups according to their engineering behavior. Most of the soil classification systems that have been developed for engineering purposes are based on simple index properties such as particle-size distribution and plasticity. Although several classification systems are now in use, none is totally definitive of any soil for all possible applications because of the wide diversity of soil properties. 72 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION In general, there are two major categories into which the classification systems developed in the past can be grouped. 1. 2. The textural classification is based on the particle-size distribution of the percent of sand, silt, and clay-size fractions present in a given soil. In this chapter, we will discuss the textural classification system developed by the U.S. Department of Agriculture (USDA). The other major category is based on the engineering behavior of soil and takes into consideration the particle-size distribution and the plasticity (i.e., liquid limit and plasticity index). Under this category, there are two major classification systems in extensive use now: a. The AASHTO classification system, and b. The Unified classification system. 73 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION TEXTURAL CLASSIFICATION - USDA In a general sense, texture of soil refers to its surface appearance. Soil texture is influenced by the size of the individual particles present in it. The USDA Particle-Size Classifications divided soils into gravel, sand, silt, and clay categories on the basis of particle size. In most cases, natural soils are mixtures of particles from several size groups. 74 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION TEXTURAL CLASSIFICATION - USDA In the textural classification system, the soils are named after their principal components, such as sandy clay, silty clay, and so forth. The textural classification systems developed by the U.S. Department of Agriculture (USDA): 75 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 7. Classify the following soils according to the USDA textural classification system. 76 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 7. Classify the following soils according to the USDA textural classification system. SOIL C ∴ 𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩 𝒐𝒐𝒐𝒐 𝑼𝑼𝑼𝑼𝑼𝑼𝑼𝑼 𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕 𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔, 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑪𝑪 𝒊𝒊𝒊𝒊 "𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 77 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 7. Classify the following soils according to the USDA textural classification system. Note that this chart is based on only the fraction of soil that passes through the No. 10 sieve (2mm). Hence, if the particle-size distribution of a soil is such that a certain percentage of the soil particles is larger than 2 mm in diameter, a correction will be necessary. Modified percentage(%): 𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺/𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪/𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 ∗ 𝟏𝟏𝟏𝟏𝟏𝟏 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺/𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪/𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺(%) = 𝟏𝟏𝟏𝟏𝟏𝟏 − 𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑫𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮 78 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 7. Classify the following soils according to the USDA textural classification system. SOIL D SOIL C SOIL B SOIL A 79 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 7. Classify the following soils according to the USDA textural classification system. SOIL D SOIL C SOIL B SOIL A ∴ 𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩 𝒐𝒐𝒐𝒐 𝑼𝑼𝑼𝑼𝑼𝑼𝑼𝑼 𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕 𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔: ~ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑨𝑨 𝒊𝒊𝒊𝒊 "𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 ~ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑩𝑩 𝒊𝒊𝒊𝒊 "𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 ~ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑫𝑫 𝒊𝒊𝒊𝒊 "𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 80 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING *CORRECTION SOIL CLASSIFICATION Sample Problem: 7. Classify the following soils according to the USDA textural classification system. SOIL D SOIL C SOIL B SOIL A ∴ 𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩𝑩 𝒐𝒐𝒐𝒐 𝑼𝑼𝑼𝑼𝑼𝑼𝑼𝑼 𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕𝒕 𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄𝒄 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔: ~ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑩𝑩 𝒊𝒊𝒊𝒊 " 𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮 𝑳𝑳𝑳𝑳𝑳𝑳𝑳𝑳 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 Note: • If the content of particles coarser than sand is 15 percent or more, an appropriate modifier is added, for example, "gravelly.“ • E.g. If %Gravel is 15 or more, “gravelly” needs to be added. 81 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION CLASSIFICATION BY ENGINEERING BEHAVIOR Although the textural classification of soil is relatively simple, it is based entirely on the particle-size distribution. The amount and type of clay minerals present in finegrained soils dictate to a great extent their physical properties. Hence, plasticity must be consider, which results from the presence of clay minerals, to interpret soil characteristics properly. Currently, two more elaborate classification systems are commonly used by soils engineers. Both systems take into consideration the particle-size distribution and Atterberg limits. They are the American Association of State Highway and Transportation Officials (AASHTO) classification system and the Unified Soil Classification System (USCS). 82 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION AASHTO Classification System The AASHTO soil classification system is used to determine the suitability of soils for earthworks, embankments, and road-bed materials. According to AASHTO, granular soils are soils in which 35% or less are finer than the No. 200 sieve (0.075 mm). Silt-clay soils are soils in which more than 35% are finer than the No. 200 sieve. Soil Types, Average Grain Size, and Description according to AASHTO 83 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION AASHTO Classification System The AASHTO system classifies soils into seven major groups, A-1 through A-7. The first three groups, A-1 through A-3, are granular (coarse-grained) soils, while the last four groups, A-4 through A-7, are silt-clay (fine-grained) soils. *B see the more detailed AASHTO Classification of Soils and Soil-Aggregate Mixtures for values 84 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION AASHTO Classification System Detailed AASHTO Classification of Soils and Soil-Aggregate Mixtures 85 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION AASHTO Classification System Detailed AASHTO Classification of Soils and Soil-Aggregate Mixtures for 𝐴𝐴 − 7 − 5, 𝑷𝑷𝑷𝑷 ≤ 𝑳𝑳𝑳𝑳 − 𝟑𝟑𝟑𝟑; 𝐴𝐴 − 7 − 6, 𝑷𝑷𝑷𝑷 > 𝑳𝑳𝑳𝑳 − 𝟑𝟑𝟑𝟑 86 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION AASHTO Classification System This classification system is based on the following criteria 1. Grain Size a. Gravel: fraction passing the 75-mm sieve and retained on the No. 10 (2-mm) sieve b. Sand: fraction passing the No. 10 (2-mm) sieve and retained on the No. 200 (0.075-mm) sieve c. Silt and clay: fraction passing the No. 200 sieve 𝜇𝜇 𝜇𝜇 𝜇𝜇 87 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION AASHTO Classification System This classification system is based on the following criteria 2. Plasticity: The term silty is applied when the fine fractions of the soil have a plasticity index of 10 or less. The term clayey is applied when the fine fractions have a plasticity index of 11 or more. 3. If cobbles and boulders (size larger than 75 mm) are encountered, they are excluded from the portion of the soil sample from which classification is made. However, the percentage of such material is recorded. 88 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION AASHTO Classification System To evaluate the quality of a soil as a highway subgrade material, one must also incorporate a number called the group index (GI) with the groups and subgroups of the soil. This index is written in parentheses after the group or subgroup designation. The group index is given by the equation: 𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮 𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰, 𝑮𝑮𝑮𝑮 = 𝑭𝑭𝟐𝟐𝟐𝟐𝟐𝟐 − 𝟑𝟑𝟑𝟑 𝟎𝟎. 𝟐𝟐 + 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 𝑳𝑳𝑳𝑳 − 𝟒𝟒𝟒𝟒 + 𝟎𝟎. 𝟎𝟎𝟎𝟎(𝑭𝑭𝟐𝟐𝟐𝟐𝟐𝟐 − 𝟏𝟏𝟏𝟏)(𝑷𝑷𝑷𝑷 − 𝟏𝟏𝟏𝟏) 89 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION AASHTO Classification System Following are some rules for determining the group index: 1. If it yields a negative value for GI (GI < 0), it is taken as 0. 2. The group index calculated is rounded off to the nearest whole number (for example, GI = 3.4 is rounded off to 3; GI = 3.5 is rounded off to 4). 3. The group index of soils belonging to groups A-1-a, A-1-b, A-2-4, A-2-5, and A-3 is always 0. 4. When calculating the group index for soils that belong to groups A-2-6 and A-2-7, use the partial group index: 𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷 𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮𝑮 𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰𝑰, 𝑮𝑮𝑮𝑮 = 𝟎𝟎. 𝟎𝟎𝟎𝟎(𝑭𝑭𝟐𝟐𝟐𝟐𝟐𝟐 − 𝟏𝟏𝟏𝟏)(𝑷𝑷𝑷𝑷 − 𝟏𝟏𝟏𝟏) 90 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A and B in according to the AASHTO system. Which soil is better for a subgrade? *NP means “Nonplastic” 91 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: According to AASHTO, granular soils are soils in which 35% or less are finer than the No. 200 sieve (0.075 mm). Silt-clay soils are soils in which more than 35% are finer than the No. 200 sieve. 8. Classify Soils A and B in according to the AASHTO system. Which soil is better for a subgrade? STEP 1: Check the %passing (%finer) at sieve no. 200, to determine whether it’s GRANULAR OR SILT-CLAY MATERIALS SOIL B SOIL A 92 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A and B in according to the AASHTO system. Which soil is better for a subgrade? STEP 2: Check the %passing (%finer) at sieve no. 10 to 200 and LL & PI , to determine its GROUP CLASSIFICATION Soil A HOW TO USE THE TABLE: One must apply the test data from LEFT TO RIGHT. By process of elimination, the first group from the left into which the test data fit is the correct classification. 93 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A and B in according to the AASHTO system. Which soil is better for a subgrade? STEP 2: Check the %passing (%finer) at sieve no. 10 to 200 and LL & PI , to determine its GROUP CLASSIFICATION Soil A Solving for Group Index, GI: 𝑮𝑮𝑮𝑮 = 𝑭𝑭𝟐𝟐𝟐𝟐𝟐𝟐 − 𝟑𝟑𝟑𝟑 𝟎𝟎. 𝟐𝟐 + 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 𝑳𝑳𝑳𝑳 − 𝟒𝟒𝟒𝟒 +𝟎𝟎. 𝟎𝟎𝟎𝟎(𝑭𝑭𝟐𝟐𝟐𝟐𝟐𝟐 − 𝟏𝟏𝟏𝟏)(𝑷𝑷𝑷𝑷 − 𝟏𝟏𝟏𝟏) 𝑮𝑮𝑮𝑮 = 𝟖𝟖𝟖𝟖 − 𝟑𝟑𝟑𝟑 𝟎𝟎. 𝟐𝟐 + 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 𝟐𝟐𝟐𝟐 − 𝟒𝟒𝟒𝟒 +𝟎𝟎. 𝟎𝟎𝟎𝟎(𝟖𝟖𝟖𝟖𝟖𝟖𝟖𝟖)(𝟖𝟖 − 𝟏𝟏𝟏𝟏) 𝑮𝑮𝑮𝑮 = 𝟓𝟓. 𝟒𝟒 ≈ 𝟓𝟓 ∴ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑨𝑨 𝒊𝒊𝒊𝒊 𝑨𝑨 − 𝟒𝟒 (𝑮𝑮𝑮𝑮) ∴ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑨𝑨 𝒊𝒊𝒊𝒊 𝑨𝑨 − 𝟒𝟒 (𝟓𝟓) 94 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A and B in according to the AASHTO system. Which soil is better for a subgrade? Soil B ∴ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑩𝑩 𝒊𝒊𝒊𝒊 𝑨𝑨 − 𝟏𝟏 − 𝒃𝒃 (𝑮𝑮𝑮𝑮) 95 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A and B in according to the AASHTO system. Which soil is better for a subgrade? Soil B Solving for Group Index, GI: ∴ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑩𝑩 𝒊𝒊𝒊𝒊 𝑵𝑵𝑵𝑵𝑵𝑵 − 𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷𝑷; 𝑮𝑮𝑮𝑮 = 𝟎𝟎 ∴ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑩𝑩 𝒊𝒊𝒊𝒊 𝑨𝑨 − 𝟏𝟏 − 𝒃𝒃 (𝑮𝑮𝑮𝑮) ∴ 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑩𝑩 𝒊𝒊𝒊𝒊 𝑨𝑨 − 𝟏𝟏 − 𝒃𝒃(𝟎𝟎) 96 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A and B in according to the AASHTO system. Which soil is better for a subgrade? 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑩𝑩 𝒊𝒊𝒊𝒊 𝑨𝑨 − 𝟏𝟏 − 𝒃𝒃 𝑮𝑮𝑮𝑮 → 𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺 𝑨𝑨 𝒊𝒊𝒊𝒊 𝑨𝑨 − 𝟒𝟒 (𝟓𝟓) ∴ 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐴𝐴 𝑖𝑖𝑖𝑖 𝑓𝑓𝑓𝑓𝑓𝑓𝑓𝑓 𝑡𝑡𝑡𝑡 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑤𝑤𝑤𝑤𝑤𝑤𝑤𝑤𝑤 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐵𝐵 𝑖𝑖𝑖𝑖 𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒 𝑡𝑡𝑡𝑡 𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔 𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚 𝑓𝑓𝑓𝑓𝑓𝑓 𝑎𝑎 𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠. 𝑇𝑇𝑇𝑇𝑇𝑇𝑇, 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐵𝐵 𝑖𝑖𝑖𝑖 𝑡𝑡𝑡𝑡𝑡 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚𝑚. 97 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION USCS Classification System The original form of this system was proposed by Casagrande in 1942 for use in the airfield construction works undertaken by the Army Corps of Engineers during World War II. In cooperation with the U.S. Bureau of Reclamation, this system was revised in 1952. 98 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION USCS Classification System At present, it is used widely by engineers (ASTM Test Designation D-2487). This system classifies soils into two broad categories: 1. Coarse-grained soils that are gravelly and sandy in nature with less than 50% passing through the No. 200 sieve. The group symbols start with a prefix of G or S. o G stands for gravel or gravelly soil; and o S for sand or sandy soil. 2. Fine-grained soils are with 50% or more passing through the No. 200 sieve. The group symbols start with prefixes of: o o o o M stands for inorganic silt, C for inorganic clay, or O for organic silts and clays The symbol Pt is used for peat, muck, and other highly organic soils 99 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION USCS Classification System Other symbols used for the classification are: o W—well graded o P—poorly graded o L—low plasticity (liquid limit less than 50) o H—high plasticity (liquid limit more than 50) 100 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION USCS Classification System Unified Soil Classification System (Based on Material Passing 76.2-mm Sieve) 101 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION USCS Classification System Notes for Unified Soil Classification System o o o o (a) Gravels with 5 to 12% fine require dual symbols: GW-GM, GW-GC, GP-GM, GP-GC. (b) Sands with 5 to 12% fines require dual symbols: SW-SM, SW-SC, SP-SM, SP-SC. (d) If 4 ≤ 𝑃𝑃𝑃𝑃 ≤ 7 and plots in the hatched area in the Plasticity Chart, use dual symbol GC-GM or SCSM. (e) If 4 ≤ 𝑃𝑃𝑃𝑃 ≤ 7 and plots in the hatched area in the Plasticity Chart, use dual symbol CL-ML. Plasticity Chart *figure 5.3 102 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. Sieve No. Opening (mm) %Finer A 4 4.75 90 8 2.36 64 10 2.00 58 20 0.85 35 40 0.425 22 80 0.18 15 100 0.15 10 200 0.075 4 No. 40 Fraction Characteristics Liquid Limit, LL 46 Plastic Limit, PL 29 103 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. STEP 1: Check the %passing / %finer (or % retained, if given) at sieve no. 200, to determine whether it’s COARSE-GRAINED SOIL OR FINEGRAINED SOIL Sieve No. Opening (mm) %Finer A 4 4.75 90 8 2.36 64 10 2.00 58 20 0.85 35 40 0.425 22 80 0.18 15 100 0.15 10 200 0.075 4 No. 40 Fraction Characteristics Things to Note: • %fine-grained = %passing through the No. 200 sieve • %course-grained = course fraction = 100 - %passing through the No. 200 sieve Liquid Limit, LL 46 Plastic Limit, PL 29 or “Less than 50% passes No. 200 sieve.” 104 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. STEP 2: If Coarse-grained soil, determine whether Gravel or Sand and its type (for Finegrained soil; Silt and Clay – Inorganic/Organic) Sieve No. Opening (mm) %Finer A 4 4.75 90 8 2.36 64 10 2.00 58 20 0.85 35 40 0.425 22 80 0.18 15 100 0.15 10 200 0.075 4 No. 40 Fraction Characteristics or “Less than 50% of coarse fraction passes on No. 4 sieve.” Liquid Limit, LL 46 Plastic Limit, PL 29 Things to Note: • To check, compare the %gravel with %sand, and determine which is greater. • For Silts & Clays, it’s initially assumed to be: “INORGANIC” 105 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION USCS Classification System Notes for Unified Soil Classification System o (a) Gravels with 5 to 12% fine require dual symbols: GW-GM, GW-GC, GPGM, GP-GC. o (b) Sands with 5 to 12% fines require dual symbols: SW-SM, SW-SC, SPSM, SP-SC. o (d) If 4 ≤ 𝑃𝑃𝑃𝑃 ≤ 7 and plots in the hatched area in the Plasticity Chart, use dual symbol GC-GM or SC-SM. o (e) If 4 ≤ 𝑃𝑃𝑃𝑃 ≤ 7 and plots in the hatched area in the Plasticity Chart, use dual symbol CL-ML. Plasticity Chart *figure 5.3 106 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. STEP 3: Determine the GROUP SYMBOL, based on the parameters given. Sieve No. Opening (mm) %Finer A 4 4.75 90 8 2.36 64 10 2.00 58 20 0.85 35 40 0.425 22 80 0.18 15 100 0.15 10 200 0.075 4 No. 40 Fraction Characteristics Liquid Limit, LL 46 Plastic Limit, PL 29 ∴ 𝑇𝑇𝑇𝑇𝑇 𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏 𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡 𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔 𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 "𝑺𝑺𝑺𝑺𝑺 107 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. STEP 4: Lastly, determine the “GROUP NAME” 108 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. STEP 4: Lastly, determine the “GROUP NAME” Sieve No. Opening (mm) %Finer A 4 4.75 90 8 2.36 64 10 2.00 58 20 0.85 35 40 0.425 22 80 0.18 15 100 0.15 10 200 0.075 4 No. 40 Fraction Characteristics Liquid Limit, LL 46 Plastic Limit, PL 29 ∴ 𝑇𝑇𝑇𝑇𝑇 𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 𝑖𝑖𝑖𝑖 𝑎𝑎 "𝑾𝑾𝑾𝑾𝑾𝑾𝑾𝑾 − 𝒈𝒈𝒈𝒈𝒈𝒈𝒈𝒈𝒈𝒈𝒈𝒈 𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔 109 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. Other Table for Group Name 110 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. Other Table for Group Name 111 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. Other Table for Group Name (*referred to other table as figure 5.6) 112 SCHOOL OF CIVIL, ENVIRONMENTAL, GEOLOGICAL ENGINEERING SOIL CLASSIFICATION Sample Problem: 8. Classify Soils A according to the USCS system. Other Table for Group Name (*referred to other table as figure 5.6) 113 CE161P-2 GEOTECHNICAL ENGINEERING 1 SCHOOL OF CIVIL, ENVIRONMENTAL, AND GEOLOGICAL ENGINEERING
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