Geotechnical Engineering CE3006 all Units Notes in English

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Course Code CE 3006 (Same as CC/CV 3006)
Course Title Geotechnical Engineering

💥💥UNIT 1💥💥

1. Overview of Geology and Geotechnical Engineering

Geology is the study of the Earth, including its materials, processes, and history. Geotechnical Engineering, on the other hand, deals with the application of geological and soil mechanics principles to civil engineering. It involves understanding the properties of earth materials (soil and rock) to design and construct structures safely.

1.1 Introduction of Geology and Branches of Geology

Geology is the scientific study of the Earth’s physical structure, its history, and the processes that shape it. It helps us understand the Earth's materials, such as rocks and minerals, and how they interact with the environment.

Branches of Geology:

  1. Mineralogy: Study of minerals, their properties, and how they form.
  2. Petrology: Study of rocks, including their classification, origin, and distribution.
  3. Stratigraphy: Study of rock layers (strata) and their sequence in Earth's history.
  4. Sedimentology: Study of sediments, including their formation, transport, and deposition.
  5. Structural Geology: Study of the deformation of Earth’s crust, including faults, folds, and other structures.
  6. Paleontology: Study of fossils and past life forms to understand Earth’s biological history.
  7. Geophysics: Study of Earth's physical properties using measurements of gravity, magnetism, etc.
  8. Hydrogeology: Study of groundwater movement and distribution.

1.2 Importance of Geology for Civil Engineering Structure and Composition of Earth

Understanding geology is crucial for civil engineers to design safe and stable structures, as the Earth’s composition impacts how buildings, bridges, roads, and other structures are built.

  • Earth's Composition: The Earth is made up of three main layers:
    1. Crust: The outermost layer, composed mainly of rocks like granite and basalt.
    2. Mantle: Beneath the crust, made of semi-solid rock that flows slowly.
    3. Core: The innermost part, consisting of iron and nickel, is divided into the outer liquid core and the inner solid core.
  • Why it’s Important for Civil Engineering: Engineers must understand the composition and behavior of these materials. For example, the strength of soil and rocks affects the design of foundations, the suitability of a site for construction, and the stability of structures.

1.3 Definition of a Rock: Classification Based on Their Genesis (Mode of Origin), Formation

A rock is a naturally occurring solid substance composed of minerals, mineraloids, or organic materials.

Classification of Rocks Based on Origin:

  1. Igneous Rocks: Formed from the cooling and solidification of molten material (magma or lava). Examples: granite, basalt.

    • Intrusive (Plutonic): Formed when magma cools slowly beneath the Earth’s surface (e.g., granite).
    • Extrusive (Volcanic): Formed when lava cools rapidly on the Earth’s surface (e.g., basalt).
  2. Sedimentary Rocks: Formed from the accumulation and compression of sediments (small particles of rocks, minerals, or organic materials). Examples: sandstone, limestone.

    • Clastic: Made from fragments of other rocks (e.g., sandstone).
    • Chemical: Formed by the evaporation of water (e.g., gypsum).
    • Organic: Formed from the remains of plants or animals (e.g., coal).
  3. Metamorphic Rocks: Formed from the transformation of existing rocks (either igneous or sedimentary) due to high pressure, temperature, or chemical processes. Examples: marble (from limestone), slate (from shale).


1.4 Classification and Engineering Uses of Igneous, Sedimentary, and Metamorphic Rocks

1. Igneous Rocks:

  • Classification: Classified by mineral composition and texture. Common types include granite, basalt, and diorite.
  • Engineering Uses: Igneous rocks are generally strong and durable, making them useful for constructing foundations, roads, and buildings.

2. Sedimentary Rocks:

  • Classification: Divided into clastic (sandstone, shale), chemical (limestone, gypsum), and organic (coal).
  • Engineering Uses: Sedimentary rocks are important in construction due to their availability and ease of cutting. They are used in building materials, cement production, and road construction. However, some can be weaker than igneous rocks.

3. Metamorphic Rocks:

  • Classification: Includes marble (from limestone), slate (from shale), and schist.
  • Engineering Uses: Metamorphic rocks are used for decorative stones, roofing materials, and flooring due to their attractive appearance and durability.

1.5 Importance of Soil as Construction Material in Civil Engineering Structures and as Foundation Bed for Structures

Soil is a critical material for civil engineering because it forms the foundation bed for buildings and other structures.

  • Soil Properties:

    • Strength: The soil must be strong enough to support the weight of structures.
    • Compaction: Soil must be compacted to increase strength and stability.
    • Permeability: Soil should have suitable drainage to avoid water accumulation and soil erosion.
    • Plasticity: Some soils, like clay, can change shape when wet, affecting their suitability for foundations.
  • Soil as Foundation Bed:

    • Importance: The type and properties of soil affect the type of foundation required. For example, soft soil may require deep foundations (piles), while hard rock may allow shallow foundations.
    • Foundation Design: Engineers conduct soil testing (e.g., Standard Penetration Test, Cone Penetration Test) to determine soil characteristics like bearing capacity, compressibility, and moisture content, ensuring the foundation is appropriate for the structure.

1.6 Field Application of Geotechnical Engineering for Foundation Design, Pavement Design, Design of Earth Retaining Structures, Design of Earthen Dam

Geotechnical engineering is crucial in various civil engineering projects that require understanding and managing the behavior of soil and rocks.

  1. Foundation Design:

    • Engineers assess soil properties (strength, settlement behavior) and determine the most suitable foundation type (shallow or deep foundation).
    • Shallow Foundations: Used when soil near the surface is strong and stable.
    • Deep Foundations: Used when surface soil is weak or when loads are heavy (e.g., piles).
  2. Pavement Design:

    • Geotechnical engineers analyze the subgrade soil properties to design pavements that can withstand traffic loads without excessive deformation.
    • Soil tests help in designing appropriate thickness and material of the pavement.
  3. Design of Earth Retaining Structures:

    • These structures, like retaining walls, are designed to resist lateral pressure from soil and water.
    • Engineers must account for soil type, moisture content, and the structure's height to ensure stability.
  4. Design of Earthen Dams:

    • Geotechnical engineering is key to dam design. Soil testing helps to determine the suitability of materials for the dam's embankment, as well as ensuring that water does not seep through.
    • The type of soil, permeability, and compaction affect the dam’s stability and water retention.


💥💥UNIT 2💥💥


2. Physical and Index Properties of Soil

Soil is a natural material consisting of solid particles, water, and air. Understanding its physical and index properties is essential for evaluating its behavior in construction projects, such as determining strength, compaction, and drainage characteristics.


2.1 Soil as a Three-Phase System

Soil is composed of three phases:

  1. Solid Phase (Soil Particles): These are mineral particles like sand, silt, and clay.
  2. Liquid Phase (Water): Water fills the voids (spaces between particles). The amount of water present is a key property influencing soil behavior.
  3. Gas Phase (Air): Air fills the remaining voids that are not occupied by water.

The relative proportions of these phases in the soil determine its behavior. This three-phase system is crucial when assessing properties like water retention, permeability, and compaction.


2.2 Water Content

Water content is the ratio of the weight of water in the soil to the weight of the dry soil particles. It is an essential parameter because it influences soil strength, compressibility, and other properties.

  • Formula: Water Content (w)=Weight of WaterWeight of Dry Soil×100\text{Water Content (w)} = \frac{\text{Weight of Water}}{\text{Weight of Dry Soil}} \times 100
  • Water content varies in soil due to changes in moisture levels.

2.3 Determination of Water Content by Oven Drying Method (BIS Code)

The oven drying method is the most common and reliable method to determine the water content of a soil sample.

  1. Take a soil sample and weigh it accurately.
  2. Dry the sample in an oven at 105–110°C for 24 hours.
  3. After drying, weigh the sample again to find the weight of the dry soil.
  4. Calculate the water content using the formula mentioned above.

According to the BIS Code (IS 2720), this method is standardized to ensure accuracy and consistency.


2.4 Void Ratio, Porosity, Degree of Saturation, Density Index

These are key indicators of soil's ability to hold water and its compactness.

  1. Void Ratio (e): The ratio of the volume of voids (air + water) to the volume of solid particles.

    e=Volume of VoidsVolume of Solidse = \frac{\text{Volume of Voids}}{\text{Volume of Solids}}
  2. Porosity (n): The percentage of the total volume that is voids (water + air).

    n=Volume of VoidsTotal Volume×100n = \frac{\text{Volume of Voids}}{\text{Total Volume}} \times 100
  3. Degree of Saturation (S): The fraction of the voids that is filled with water.

    S=Volume of WaterVolume of Voids×100S = \frac{\text{Volume of Water}}{\text{Volume of Voids}} \times 100
  4. Density Index (ID): It compares the density of the soil to its maximum and minimum densities. It’s used to understand soil compaction.


2.5 Unit Weight of Soil Mass

The unit weight is the weight of a given volume of soil and varies with the soil's water content.

  1. Bulk Unit Weight (γ): The total weight (including both soil solids and water) per unit volume.

    γ=Total Weight of Soil MassTotal Volume\gamma = \frac{\text{Total Weight of Soil Mass}}{\text{Total Volume}}
  2. Dry Unit Weight (γd): The weight of dry soil per unit volume.

    γd=Weight of Dry SoilTotal Volume\gamma_d = \frac{\text{Weight of Dry Soil}}{\text{Total Volume}}
  3. Unit Weight of Solids (γs): The weight of solid particles per unit volume of solids.

    γs=Weight of Solid ParticlesVolume of Solids\gamma_s = \frac{\text{Weight of Solid Particles}}{\text{Volume of Solids}}
  4. Saturated Unit Weight (γsat): The unit weight when all voids are filled with water.

    γsat=Total Weight when Soil is SaturatedTotal Volume\gamma_{\text{sat}} = \frac{\text{Total Weight when Soil is Saturated}}{\text{Total Volume}}
  5. Submerged Unit Weight (γsub): The weight of the soil minus the weight of the displaced water (for submerged soil).

    γsub=γsatγwater\gamma_{\text{sub}} = \gamma_{\text{sat}} - \gamma_{\text{water}}

2.6 Determination of Bulk Unit Weight and Dry Unit Weight by Core Cutter and Sand Replacement Method

  1. Core Cutter Method:

    • A cylindrical core cutter is driven into the soil to extract a known volume of soil.
    • The wet weight of the soil sample is measured, and then it is dried in an oven.
    • The bulk unit weight is calculated by dividing the weight by the volume of the core cutter.
    • The dry unit weight is determined by using the oven-dried weight.
  2. Sand Replacement Method:

    • A hole is dug in the ground, and the volume of the hole is determined by filling it with fine sand.
    • The sand's weight is used to calculate the bulk unit weight of the soil.

2.7 Determination of Specific Gravity and Water Content by Pycnometer

The pycnometer method is used to find the specific gravity of soil particles and water content.

  1. Specific Gravity (G): It is the ratio of the density of soil solids to the density of water.

    • The pycnometer is filled with water and a known weight of dry soil, and its volume is measured.
      • The specific gravity is calculated using the formula:
      G=Weight of Dry SoilWeight of Displaced WaterG = \frac{\text{Weight of Dry Soil}}{\text{Weight of Displaced Water}}
  2. The same method can be used to determine the water content by comparing the weight of soil before and after drying.


2.8 Consistency of Soil: Atterberg Limits of Consistency

The Atterberg Limits are a set of tests used to determine the consistency and behavior of fine-grained soils like clay.

  1. Liquid Limit (LL): The water content at which the soil changes from a liquid to a plastic state. It is determined by the Casagrande cup method.

  2. Plastic Limit (PL): The water content at which the soil becomes plastic and can be molded by hand. This is found by rolling the soil into threads.

  3. Shrinkage Limit (SL): The water content at which the soil no longer shrinks upon drying.

  4. Plasticity Index (PI): The difference between the liquid limit and the plastic limit.

    PI=LLPLPI = LL - PL


2.9 Particle Size Distribution Test and Plotting of Curve

Particle Size Distribution (PSD) helps determine the proportions of sand, silt, and clay in a soil sample.

  • Sieve Analysis: Used for coarse-grained soils (sand and gravel). The soil is passed through a series of sieves with different mesh sizes, and the amount of material retained on each sieve is weighed.
  • Hydrometer Analysis: Used for fine-grained soils (clay and silt) by measuring the rate at which particles settle in water.

Effective Diameter (D10): The particle diameter where 10% of the soil's particles are smaller. It is often used in soil classification.

  • Well-Graded Soil: A soil with a wide range of particle sizes (better compaction).
  • Uniformly Graded Soil: A soil with mostly similar particle sizes.

2.10 Plasticity Chart

The Plasticity Chart (or Casagrande’s Plasticity Chart) is a graphical tool used to classify soils based on their Atterberg Limits (Liquid Limit and Plasticity Index).

  • Soils are plotted on the chart with Liquid Limit (LL) on the y-axis and Plasticity Index (PI) on the x-axis.
  • The chart helps distinguish between clays, silts, and other soil types.

2.11 BIS Classification of Soil

The BIS (Bureau of Indian Standards) Classification of Soil is based on the grain size distribution and the Atterberg Limits.

  • Group I: Coarse-grained soils (sand and gravel)
  • Group II: Fine-grained soils (clay and silt)
  • Group III: Organic soils and soils with high plasticity
  • The classification helps determine the suitability of soil for construction, including its compaction, drainage, and stability.


💥💥UNIT 3💥💥


3. Permeability and Shear Strength of Soil

Permeability and shear strength are essential soil properties that govern how water flows through soil and how the soil resists failure under applied stress. These properties are critical in geotechnical engineering for designing foundations, slopes, and other structures.


3.1 Definition of Permeability

Permeability is the ability of soil to transmit water or any other fluid through its pore spaces. It is a measure of how easily water can flow through soil. The higher the permeability, the easier it is for water to move through the soil.

  • Units of Permeability: It is commonly expressed in units of length per time (e.g., cm/s, m/s).

3.2 Darcy’s Law of Permeability, Coefficient of Permeability, Factors Affecting Permeability

Darcy’s Law describes the flow of water through a soil medium. It states that the rate of flow of water through a soil is directly proportional to the cross-sectional area of the soil and the difference in water head (pressure difference), and inversely proportional to the length of the flow path.

  • Mathematical Expression of Darcy’s Law: Q=kA(h1h2L)Q = k \cdot A \cdot \left( \frac{h_1 - h_2}{L} \right) Where:
    • QQ = Flow rate (volume of water passing through)
    • kk = Coefficient of permeability
    • AA = Cross-sectional area
    • h1h2h_1 - h_2 = Difference in water head (pressure difference)
    • LL = Length of the flow path

The coefficient of permeability (k) is a measure of how easily water can pass through the soil and depends on factors like soil type and grain size.

Factors Affecting Permeability:

  1. Soil Grain Size: Larger particles (sand, gravel) allow water to pass through more easily, giving higher permeability. Smaller particles (clay) have lower permeability.
  2. Soil Structure: Well-graded soils or soils with larger voids tend to have higher permeability.
  3. Water Viscosity: The temperature of the water can affect its viscosity and thus the permeability.
  4. Soil Compaction: Highly compacted soils have smaller pore spaces and lower permeability.

3.3 Determination of Coefficient of Permeability by Constant Head and Falling Head Tests

  1. Constant Head Test:

    • Used for soils with high permeability (e.g., sand).
    • A constant head of water is maintained and allowed to flow through a soil sample.
    • The rate of flow is measured, and the coefficient of permeability is calculated using Darcy’s Law.
  2. Falling Head Test:

    • Used for soils with low permeability (e.g., clay).
    • Water is allowed to flow through the soil sample, but the water level falls over time.
    • The rate of fall is measured, and the coefficient of permeability is determined.

3.4 Simple Problems to Determine Coefficient of Permeability

Example: If a soil sample in a falling head test allows 100 cm³ of water to flow through it in 5 minutes, and the change in head is measured, the coefficient of permeability can be calculated by using Darcy’s Law. However, for brevity, we focus more on the methods here than numerical problems.


3.5 Seepage Through Earthen Structures, Seepage Velocity, Seepage Pressure, Phreatic Line, Flow Lines, Application of Flow Net (No Numerical Problems)

Seepage through earthen structures (like dams, embankments) is the movement of water through the soil. It is important to manage seepage to prevent soil erosion or failure of the structure.

  • Seepage Velocity: The rate at which water moves through the soil pores.

    • Formula: v=kiporosityv = \frac{k \cdot i}{\text{porosity}}
      • vv = Seepage velocity
      • kk = Coefficient of permeability
      • ii = Hydraulic gradient (difference in head/length)
  • Seepage Pressure: The pressure exerted by water as it moves through the soil. It affects soil strength and stability.

  • Phreatic Line: The line in an earthen structure (like a dam) where the soil is fully saturated with water. It marks the boundary between the saturated and unsaturated soil zones.

  • Flow Lines: The paths that water follows as it flows through the soil. These lines help visualize how water moves through the soil.

  • Flow Net: A graphical representation of the flow of water through soil. It is used to analyze and design earthen structures by identifying areas of high flow or seepage.


3.6 Shear Failure of Soil

Shear failure occurs when the soil’s shear strength is exceeded by the applied shear stress, causing the soil to slide or shear off. This is a critical consideration in the design of foundations and slopes.

  • When shear stress exceeds the shear strength of soil, it leads to the formation of failure surfaces or slides.

3.7 Concept of Shear Strength of Soil

Shear strength of soil is the ability of soil to resist shear stress. It is essential for determining the stability of slopes, foundations, and earth structures.

  • Shear strength depends on two main factors:
    1. Cohesion (C): The internal molecular attraction between soil particles that helps resist sliding.
    2. Internal Friction (ϕ): The resistance due to friction between particles, which increases with the soil's density and compaction.

Shear strength can be measured by conducting shear tests in the laboratory, such as the direct shear test or triaxial test.


3.8 Components of Shearing Resistance of Soil – Cohesion, Internal Friction

  1. Cohesion (C): The force that holds soil particles together. It is especially important in fine-grained soils like clay. In cohesive soils, the particles are bound together by electrostatic forces and water, resisting sliding.

  2. Internal Friction (ϕ): The resistance to sliding between particles due to friction. It is more significant in coarse-grained soils like sand and gravel. The angle of internal friction (ϕ) is the angle at which the soil will start to shear.

  • Shear strength τ\tau is given by the equation: τ=C+σtan(ϕ)\tau = C + \sigma \cdot \tan(\phi) Where:
    • τ\tau = Shear strength
    • σ\sigma = Normal stress
    • ϕ\phi = Angle of internal friction
    • CC = Cohesion

3.9 Mohr-Coulomb Failure Theory

The Mohr-Coulomb failure theory describes the shear strength of soils based on the concept of normal and shear stresses acting on a failure plane.

  • Strength Envelope: A plot of shear stress versus normal stress that shows the shear strength for different values of normal stress.
  • The Mohr-Coulomb equation for shear strength is: τ=C+σtan(ϕ)\tau = C + \sigma \cdot \tan(\phi)
    • For purely cohesive soils (ϕ=0\phi = 0), the strength is determined by the cohesion (C).
    • For cohesionless soils (C=0C = 0), the strength is determined solely by the frictional resistance (σtan(ϕ)\sigma \cdot \tan(\phi)).

3.10 Direct Shear and Vane Shear Test – Laboratory Methods

  1. Direct Shear Test:

    • A sample of soil is placed in a shear box and subjected to a normal load. The soil is sheared by applying a horizontal force, and the shear stress at failure is measured.
    • This test is used to determine the shear strength parameters (cohesion and internal friction).
  2. Vane Shear Test:

    • Used primarily for soft, cohesive soils (like clay).
    • A vane (a blade) is inserted into the soil, and the torque required to rotate the vane is measured. This helps determine the undrained shear strength of the soil.


💥💥UNIT 4💥💥


4. Bearing Capacity of Soil

Bearing capacity of soil refers to the ability of soil to support the loads applied to the ground. It is crucial in foundation design, ensuring that the structure does not settle excessively or cause failure of the soil beneath it. The soil must have sufficient strength to bear the load without undergoing failure or excessive deformation.


4.1 Concept of Bearing Capacity, Ultimate Bearing Capacity, Safe Bearing Capacity, and Allowable Bearing Pressure

  1. Bearing Capacity: The maximum load per unit area that the soil can support without failure. It depends on the type of soil, the depth of the foundation, and other factors such as water table and soil compaction.

  2. Ultimate Bearing Capacity (q_u): The maximum pressure a soil can withstand before it fails. At this point, the soil undergoes shear failure, and the foundation would experience settlement or failure.

  3. Safe Bearing Capacity: The ultimate bearing capacity divided by a safety factor. This value ensures that the soil can safely support the loads without failure. The safety factor typically ranges from 2 to 3, depending on the soil conditions.

  4. Allowable Bearing Pressure: The maximum pressure that can be applied to the foundation without causing settlement or failure. It is usually calculated by dividing the safe bearing capacity by an additional safety factor, taking into account factors like soil variability and load distribution.


4.2 Introduction to Terzaghi’s Analysis and Assumptions

Terzaghi’s bearing capacity theory is one of the most widely used methods to estimate the ultimate bearing capacity of soil. The analysis is based on the assumptions that:

  1. The soil is homogeneous and isotropic (properties are the same in all directions).
  2. The foundation is located at the surface of the soil.
  3. The load is applied vertically.
  4. The failure of soil beneath the foundation is due to shear failure.
  5. The foundation is rigid, and it does not deform significantly under the applied load.

Terzaghi’s Bearing Capacity Equation:

qu=cNc+σNq+γDNγq_u = c N_c + \sigma N_q + \gamma D N_\gamma

Where:

  • quq_u = Ultimate bearing capacity
  • cc = Cohesion of the soil
  • σ\sigma = Effective vertical stress at the foundation depth
  • γ\gamma = Unit weight of soil
  • DD = Depth of the foundation
  • Nc,Nq,NγN_c, N_q, N_\gamma = Bearing capacity factors (dependent on the angle of internal friction of the soil)

4.3 Effect of Water Table on Bearing Capacity

The presence of a water table significantly affects the bearing capacity of the soil, especially for shallow foundations:

  • When the water table is above the foundation level, the bearing capacity reduces due to increased pore pressure, which lowers the effective stress in the soil.
  • When the water table is below the foundation level, its effect on bearing capacity is less significant, but the capillary rise near the foundation can still impact the soil's strength.

Effect on Calculation:

  • The soil's effective cohesion decreases when submerged.
  • For saturated soils, the bearing capacity will be reduced, and the water table's position must be accounted for in the analysis.

4.4 Field Methods for Determination of Bearing Capacity – Plate Load and Standard Penetration Test

  1. Plate Load Test (IS:1888):

    • In this field test, a rigid plate is placed at the foundation level, and a load is applied gradually.
    • The settlement of the plate is measured at each load increment, and the relationship between the load and settlement is plotted.
    • The test helps estimate the ultimate bearing capacity and the allowable bearing pressure of the soil.
    • Procedure:
      1. Place the plate at the required foundation depth.
      2. Apply load in increments, measuring the settlement after each increment.
      3. Plot load vs. settlement curve and determine the bearing capacity from the curve.
  2. Standard Penetration Test (SPT) (IS:2131):

    • In this test, a split spoon sampler is driven into the soil using a hammer. The number of blows required to drive the sampler a certain depth (usually 30 cm) is recorded.
    • The SPT N-value is used to estimate the relative density of granular soils and can provide an estimate of bearing capacity.
    • Higher N-values generally indicate stronger soil and higher bearing capacity.
    • Procedure:
      1. Drive the sampler into the soil.
      2. Record the number of blows required to penetrate 30 cm of soil.
      3. Use the N-value to estimate bearing capacity using empirical correlations.

4.5 Definition of Earth Pressure, Active and Passive Earth Pressure for No Surcharge Condition, Coefficient of Earth Pressure

  1. Earth Pressure: The force exerted by soil on retaining walls, foundations, or other structures due to the weight of the soil and its interaction with the structure.

  2. Active Earth Pressure:

    • It is the pressure exerted by the soil when it is allowed to expand or move away from the wall or structure (e.g., a wall is moved outward).
    • The soil exerts the least pressure on the wall in this condition.
  3. Passive Earth Pressure:

    • It is the pressure exerted by the soil when it is compressed or pushed into the wall or structure (e.g., a wall is pushed inward).
    • The soil exerts the maximum pressure on the wall in this condition.
  4. Coefficient of Earth Pressure:

    • Active Earth Pressure Coefficient (K_a): Determines the ratio of active pressure to the vertical stress in the soil.
    • Passive Earth Pressure Coefficient (K_p): Determines the ratio of passive pressure to the vertical stress in the soil.

4.6 Rankine’s Theory and Assumptions Made for Non-Cohesive Soils

Rankine’s Earth Pressure Theory is used to estimate the lateral earth pressure acting on structures like retaining walls and foundations. The theory applies primarily to cohesionless soils (soils without significant cohesion, such as sand).

Assumptions Made in Rankine’s Theory:

  1. The soil is cohesionless (no cohesive forces between particles).
  2. The backfill is dry or saturated with no capillary rise.
  3. The wall is smooth and frictionless.
  4. The soil is uniformly dense and isotropic.
  5. The angle of friction between the wall and soil is zero.
  6. The soil does not exhibit wall friction or adhesion.

Active Earth Pressure (K_a) is given by:

Ka=tan2(45ϕ2)K_a = \tan^2 \left( 45^\circ - \frac{\phi}{2} \right)

Passive Earth Pressure (K_p) is given by:

Kp=tan2(45+ϕ2)K_p = \tan^2 \left( 45^\circ + \frac{\phi}{2} \right)

Where:

  • ϕ\phi = Angle of internal friction of the soil.

Rankine’s theory helps determine the magnitude of earth pressure on a retaining wall or other structures and is widely used in foundation and retaining wall design.



💥💥UNIT 5💥💥


5. Compaction and Stabilization of Soil

Soil compaction and stabilization are essential for improving the strength, stability, and durability of soil used in civil engineering projects. Compaction reduces the volume of air and water in the soil, increasing its density, while stabilization involves modifying the soil to enhance its properties for specific construction purposes.


5.1 Concept of Compaction, Standard and Modified Proctor Test as per IS Code

  1. Compaction: Compaction is the process of increasing the soil's density by reducing air voids through mechanical means (e.g., rolling, tamping). This process improves the strength, stability, and load-bearing capacity of the soil, making it more suitable for construction.

  2. Standard Proctor Test (IS:2720 Part 7): This test measures the relationship between the moisture content of soil and its dry density. It is conducted by compacting soil in a mold with a specified compaction effort (a 2.5 kg rammer dropped from a height of 30 cm). The result of this test is the Optimum Moisture Content (OMC) at which the soil achieves its Maximum Dry Density (MDD).

  3. Modified Proctor Test (IS:2720 Part 8): This test is similar to the standard Proctor test but uses a greater compaction effort (a 4.5 kg rammer dropped from a height of 45 cm). The test is used for soils in more demanding engineering applications, as it provides a higher degree of compaction.


5.2 Plotting of Compaction Curve for Determining: Optimum Moisture Content (OMC), Maximum Dry Density (MDD), Zero Air Voids Line

  • Compaction Curve: This curve plots the dry density of soil against varying moisture content.
    • Optimum Moisture Content (OMC): The moisture content at which the soil achieves its Maximum Dry Density (MDD). This point corresponds to the peak of the compaction curve.
    • Maximum Dry Density (MDD): The highest density a soil can achieve under a specific compaction effort at its optimum moisture content.
    • Zero Air Voids Line: This is a theoretical line that represents the maximum possible density that the soil can achieve if there were no air voids left. The curve shows how the soil can be compacted to achieve the highest possible density at a given moisture content.

5.3 Factors Affecting Compaction

Several factors influence the compaction of soil, including:

  1. Moisture Content: Soils compact best at their Optimum Moisture Content (OMC). If the moisture content is too low, the soil particles cannot slide over each other, and if it is too high, water acts as a lubricant, reducing compaction efficiency.

  2. Type of Soil: Coarse-grained soils (sand, gravel) typically compact more easily than fine-grained soils (clay, silt), which have more water retention properties.

  3. Compaction Effort: The amount of mechanical energy applied during compaction, such as the weight of the roller, the type of roller, and the number of passes, impacts how much the soil will compact.

  4. Soil Grain Size and Distribution: Well-graded soils (a mixture of small and large particles) are easier to compact than poorly graded soils (where all particles are of similar size).

  5. Time and Layer Thickness: Compaction is more effective when the soil is compacted in thinner layers. Thicker layers may not allow sufficient compaction effort to penetrate the full depth.


5.4 Field Methods of Compaction – Rolling, Ramming, and Vibration

  1. Rolling: Rolling is commonly used for compacting granular soils (sand, gravel). The weight of the roller applies pressure to the soil, reducing air voids and compacting it.

    • Types of Rollers: Smooth wheel roller, pneumatic tyred roller, etc.
  2. Ramming: Involves applying force through a rammer or heavy weight. Ramming is effective for compacting cohesive soils, such as clays.

  3. Vibration: Vibration uses a vibrating plate or roller to compact the soil by causing the particles to rearrange and move into a denser configuration. This method is effective for both granular and cohesive soils.


5.5 Suitability of Various Compaction Equipment – Smooth Wheel Roller, Sheep Foot Roller, Pneumatic Tyred Roller, Rammer, and Vibrator

  1. Smooth Wheel Roller:

    • Best for compacting granular soils like sand or gravel.
    • Provides uniform pressure but not much depth of compaction.
  2. Sheep Foot Roller:

    • Used for cohesive soils (e.g., clays).
    • The feet or pads penetrate into the soil and provide deep compaction.
  3. Pneumatic Tyred Roller:

    • Suitable for both granular and cohesive soils.
    • Provides a kneading action that helps in compacting fine-grained soils and achieves better uniformity in compaction.
  4. Rammer:

    • Effective for small areas and cohesive soils.
    • Used for compacting soil in trenches or for smaller scale applications.
  5. Vibrator:

    • Best for compacting granular soils (sand and gravel).
    • Vibrators improve compaction by rearranging soil particles to reduce air voids.

5.6 Difference Between Compaction and Consolidation

  1. Compaction: Compaction refers to the process of applying mechanical energy to soil to reduce air voids and increase the density. It is a short-term process and occurs during construction.

  2. Consolidation: Consolidation is the gradual process of soil compression under the action of an external load, which leads to the expulsion of water from the soil pores. It is a long-term process and occurs over time as the soil settles under load.

  • Compaction primarily affects granular soils, while consolidation is a key factor for fine-grained soils like clay.

5.7 Concept of Soil Stabilization, Necessity of Soil Stabilization, Different Methods of Soil Stabilization

  1. Soil Stabilization: Soil stabilization refers to the process of improving the properties of soil to enhance its strength, durability, and workability for construction purposes. This is often done when the natural soil does not meet the required engineering standards.

  2. Necessity of Soil Stabilization:

    • Soil stabilization is necessary when the soil is weak, prone to excessive swelling or shrinking, or has inadequate strength.
    • Stabilization is often used in road construction, pavement design, and to enhance foundation performance.
  3. Different Methods of Soil Stabilization:

    • Mechanical Stabilization: Involves compacting soil to improve its density and strength.
    • Chemical Stabilization: Uses additives like lime, cement, or bitumen to change the soil's chemical composition and improve its properties.
    • Biological Stabilization: Involves using natural agents (like plants) to improve soil stability.
    • Thermal Stabilization: Involves using heat to improve the properties of the soil (less common).

5.8 California Bearing Ratio (CBR) Test - Meaning and Utilization in Pavement Construction

  1. California Bearing Ratio (CBR) Test: The CBR test is used to determine the strength of soil for designing pavements. It measures the ability of the soil to resist penetration by a piston under controlled conditions.

  2. Utilization in Pavement Construction:

    • The CBR value is used to evaluate the suitability of the subgrade soil for pavement construction.
    • A higher CBR value indicates stronger soil, which requires less thickness of pavement layers.
    • CBR values are used in road design to determine the thickness of subgrade and base course layers.

5.9 Necessity of Site Investigation and Soil Exploration: Types of Exploration, Criteria for Deciding the Location and Number of Test Pits and Bores

  1. Necessity of Site Investigation and Soil Exploration:

    • Site investigation helps determine the properties of the soil at the construction site, including its strength, composition, and behavior under load.
    • It ensures that the chosen foundation type and design are appropriate for the soil conditions.
  2. Types of Exploration:

    • Boreholes: Drilling holes to collect soil samples from different depths.
    • Test Pits: Excavating pits to examine soil properties at specific locations.
    • Geophysical Methods: Using techniques like seismic refraction to study soil layers.
  3. Criteria for Deciding Location and Number of Test Pits/Bores:

    • Based on the size of the construction, the type of structure, and the variability of soil conditions across the site.

5.10 Field Identification of Soil – Dry Strength Test, Dilatancy Test, and Toughness Test

  1. Dry Strength Test: Used to determine the cohesiveness of soil when it is dry. A small portion of dry soil is crushed between the fingers, and the ease with which it crumbles indicates its strength.

  2. Dilatancy Test: This test involves mixing a small sample of soil with water and observing its response. If the soil forms a thin, watery film on top that moves when stirred, it indicates that the soil is fine-grained and cohesive.

  3. Toughness Test: Used to test the resistance of soil to deformation when a force is applied. A tougher soil resists deformation and has better engineering properties.



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