basic soil mechanics: volume i mid material.pdf · be used as construction materials ... “soil...
TRANSCRIPT
Basic Soil Mechanics: Volume I
ดร.สรยะ ทองมณ ภาควชาวศวกรรมโยธาคณะวศวกรรมศาสตร
มหาวทยาลยเชยงใหม
แผนการสอนของอาจารย คณะวศวกรรมศาสตร มหาวทยาลยเชยงใหม ประจาภาคเรยนท 1 ปการศกษา 2558
ระดบปรญญาตร ภาควชาวศวกรรมโยธา
1. ชอผสอน ดร. สรยะ ทองมณ
2. รายละเอยดกระบวนวชา รหสกระบวนวชา 251371
ชอกระบวนวชา กลศาสตรดน (Soil Mechanics) ลกษณะกระบวนวชา ( / ) บรรยาย ( ) ปฏบต ( ) ฝกปฏบต ( ) อนๆ ระบ
ลกษณะการสอน ( / ) สอนคนเดยว ( ) สอนเปนกลม 2 คน
จานวนชวโมงสอนตอสปดาห 3 ชวโมงตอสปดาห
3. วตถประสงคของกระบวนวชา เพอใหนกศกษาสามารถเขาใจในการกาเนดของดน เพอใหนกศกษาเรยนรนยามและสมบตของดนทางกายภาพเบองตน
เพอใหนกศกษาสามารถจาแนกชนดของดนได
เพอใหนกศกษามความรพนฐานเกยวกบคณสมบตทางวศวกรรมของดน และพฤตกรรมการรบแรง
ของดน สาหรบประยกตในงานวศวกรรมฐานราก
เพอใหนกศกษาวเคราะหและสามารถคานวณการทรดตวของชนดนได
เปนวชาบงคบของสภาวศวกร สาขาวศวกรรมโยธา
4. คาอธบายลกษณะกระบวนวชา กาเนดดน คณสมบตทางเคมและกายภาพ การจาแนกประเภทดนสาหรบงานทางวศวกรรม การไหล
ของนาในดน การกระจายหนวยแรงในดน ทฤษฎคอนโซลเดชนและการคานวณการทรดตว กาลงรบแรง
เฉอน ทฤษฎกาลงทฤษฎกาลงรบแรงแบกทาน การบดอดดน
5. แผนการสอน
สปดาหท เนอหา แบบฝกหด หมายเหต
1 แนะนากระบวนวชา และความสาคญของรายวชา
2 วฏจกรการกาเนดของดน และ ขนาดของอนภาคดน
3 ความสมพนธระหวางนาหนกและปรมาตรของดน
4 พลาสตกซตและโครงสรางของดน
5 การจาแนกประเภทของดน ครงท 1
6 ความซมนาของมวลดน
7 การไหลของนาในมวลดน
8 แรงเคนในสนาม ครงท 2
9 ปดสอบกลางภาค
10 การยบตวของดน
11 การยบตวของดน
12 กาลงเฉอนของดน
13 กาลงเฉอนของดน ครงท 3
14 คารบนาหนกของชนดน
15 คารบนาหนกของชนดน
16 แรงดนดนดานขาง ณ ภาวะสมดล เชงรกและเชงรบ ครงท 4
17 การบดอดดน
18 ปดสอบปลายภาค
6. กจกรรมทเนนผเรยนเปนสาคญ การทาแบบฝกหดทงแบบเดยว และแบบกลม
ผเรยนจะตองเรยนกระบวนวชา 251372 ซงเปนภาคปฏบตของวชานดวย
7. สดสวนการใหคะแนน คะแนนเกบระหวางเรยน 10 %
คะแนนสอบระหวางภาค 40 %
คะแนนสอบปลายภาค 50 %
8. หนงสอ/วารสาร ประกอบการเรยนการสอน Das, B.M. (1998), Principle of Geotechnical Engineering, 7th edition, CENGAGE Learning, USA
9. หนงสอ/วารสาร อานประกอบ อนรทธ ธงไชย (2548), วศวกรรมปฐพเบองตน, เอกสารคาสอนกระบวนวชากลศาสตรดน,
ภาควชาวศวกรรมโยธา, คณะวศวกรรมศาสตร, มหาวทยาลยเชยงใหม
มณเฑยร กงศศเทยม (2531), กลศาสตรของดนดานวศวกรรม, สมาคมศษยเกาวศวกรรม
ชลประทานในพระบรมราชปถมภ, พมพครงท 2
ส เชษ ฐ ล ขต เลอสรวง (2557 ), ปฐพกลศาสตร :ห ลกการ พ นฐาน (SOIL MECHANICS:
FUNDAMENTALS) ปรบปรงครงท 2, สานกพมพจฬาลงกรณ
Bowles, J.E. (1996), Foundation Analysis and Designs, 5th edition, McGraw-Hill
V.N.S. Murthy, “Geotechnical Engineering: Principles and Practices of Soil Mechanics and
Foundation Engineering” CRC Press, 2002
Lambe, T.W. and Whitman, R.V. (1979), Soil Mechanics, SI version, John Wiley & Sons,
Singapore
Craig, R.F., Soil Mechanics , 6th Edition , E & Fw. Spon London, 1997
10. เกณฑการวดผลและประเมนผล (/) องเกณฑ
(/) องกลม
ลงชอ ................................................. ผสอน
( ดร.สรยะ ทองมณ )
ลงชอ ................................................. ประธานหลกสตรฯ
( )
ลงชอ ................................................. หวหนาภาคฯ
( )
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 1
CE 371 Soil Mechanics
Suriyah Thongmunee, Ph.D.
Introduction to Soil Mechanics
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 2
Referenced textbook
Textbook: Braja M. Das"Principles of Geotechnical Engineering”
5th Edition
Introduction to Soil Mechanics
4
Lecture Outline:
1. Introduction
2. Role of soil
3. Soil mechanics
4. Geotechnical engineering
5. History of Geotechnical Engineering
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 3
Soil ??ในทางวศวกรรม ??
Soil (ดน) คอ การรวมตวกนของแรหนขนาดเลกและวสดทถกยอยสลายตามธรรมชาต (solid particles) กบของเหลวและอากาศซงอยระหวางชองวางของแรหนหรอวสดเหลานน
Why civil engineers must study?
เนองจากดนถกใชเปนวสดในการกอสรางในหลายงานทางดานวศวกรรม ยกตวอยางเชน งานฐานราก งานเจาะ งานขด งานเขอน มาตงแตสมยอดตจนถงปจจบน และตอไปในอนาคต
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 4
Role of Soil in Civil Work?
• Be used as Foundation
• Be used as Construction Materials
Be used as Foundation
ฐานแผ เขมตอก
เขมเจาะ
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 5
Be used as Construction Materials
ชนทางถนนคนดนอางเกบนา
ถมทบานจดสรร
Structural Damage Caused by Soil
• Failure caused by overload on soil
• Large settlement caused by soil compressibility
• Crack caused by swelling and shrinkage
การพองตว/หดตว
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 6
What is soil mechanics?
“Soil Mechanics is the application of laws of mechanics and hydraulics to engineering problems dealing with sediments and other unconsolidated accumulations of solid particles produced by the mechanical and chemical disintegration of rocks regardless of whether or not they contain an admixture of organic constituent”…………… Terzaghi (1948)
What is Geotechnical engineering?
สาขาหนงของวศวกรรมโยธาทศกษาเกยวกบวสดธรรมชาตทถกพบใกลกบผวโลก รวมถงการประยกตใชหลกการพนฐานของกลศาสตรของดนและหน เพอการออกแบบฐานราก(foundation) โครงสรางกนดน(retaining structure) และโครงสรางดน (earth structure)
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 7
Difference between Geotech. and Structural Engineering
Material(properties)
Force(stress)
Displacement(strain)
What Geotechnical Engineering do?
• To investigate existing subsurface conditions and materials• To determine their physical/mechanical and chemical properties• To assess risks posed by site conditions• To design earthworks and structure foundations• To monitor site conditions.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 8
What Geotechnical Engineering do?It includes:
• Soil Mechanics (Soil Properties and Behavior).• Rock Mechanics (Rock Stability and Tunneling).• Foundation Engineering (Shallow & Deep Foundations).• Soil Dynamics (Dynamic Properties of Soils, Earthquake Engineering).• Earthworks Engineering (Embankments, Slops Stability, Dams).• Earth Retaining Structures• Pavement Engineering (Flexible & Rigid Pavements).• Ground Improvement (Soil Reinforcement, Geosynthetics).• Coastal and Ocean Engineering
History of Geotechnical Engineering
16
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 9
History of Geotechnical Engineering Prior to the 18th century
1800’s
1700’s
1900’s
Pre-classical period(1700-1776)
Classical soil mechanicsphase I (1776-1856)
Classical soil mechanicsphase II (1856-1910)
Modern soil mechanics (1910-1927)
• Prior to the 18th century No Geotechnical Engineering prior to the 18th century (Skempton, 1985) Based on past experiences without any scientific character
Colosseum
Tower of Pisa1173 A.D.
Huang Ho river
1800’s1700’s 1900’s
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 10
• Pre-classical period (1700-1776)
Studies focused on natural slope, retaining and unit weights of various types of soils and the semi-empirical earth pressure theories.
Henri Gautier (1660-1737) studied the natural slopes of soils when tipped in a heap for formulation the design procedures of retaining walls.
Bernard Forest de Belidor (1671–1761) proposed a theory for lateral earth pressure on retaining walls specified a soil classification system.
Francois Gadroy (1705–1759) observed the existence of slip planes in the soil at failure.
1800’s1700’s 1900’s
• Classical soil mechanics - phase I (1776-1856)
Using principles of calculus to solve mainly the problem of retaining wall and earth pressure
»Charles Coulumb (1736-1806) used the laws of friction and cohesion for solid bodies to propose Coulomb’s theory.
»Jean Victor Poncelet (1788-1867) the first to use the symbol φ for soil friction angle
»Alexandre Collin (1808-1890) deep slips in clay slopes, cutting and embankments
»Wiliam John Macquorn Rankine (1820-1872) : Rankine’s theory
1800’s1700’s 1900’s
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 11
• Classical soil mechanics - phase II (1856-1910)This period focused on the experimental results from laboratory
tests on sand.
»Henri Philibert Gaspard Darcy (1803-1858) defined the term coefficient of permeability of soil.
»Joseph Valentin Boussinesq (1842-1929) developed the theory of stress distribution under loaded bearing areas.
»Osborne Reynolds (1842-1912) demonstrated the phenomenon of dilatancy in sand.
21
1800’s1700’s 1900’s
• Modern soil mechanics (1910-1927)This period was marked by a series of important studies and publications related to the
mechanic behavior of clays:
» Albert Atterberg (1846–1916), a Swedish chemist and soil scientist, explained the consistency of cohesive soils by defining liquid, plastic, and shrinkage limits.
» Arthur Bell (1874–1956), from England, developed relationships for lateral pressure and resistance in clay as well as bearing capacity of shallow foundations in clay.
»Wolmar Fellenius (1876–1957), from Sweden, developed the stability analysis of saturated clay slopes.
» Karl Terzaghi (1883–1963), from Austria, developed the theory of consolidation for clays as we know today.
1800’s1700’s 1900’s
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 12
Father of modern soil mechanics??The development of modern Geotechnical
Engineering as a branch of Civil Engineering is absolutely impacted by one single professional individual – Karl Terzaghi
He started modern soil mechanics with his theories of consolidation, lateral earth pressures, bearing capacity, and stability.
(1883 - 1963)
Most of the foundation failures that occurred were not longer “acts of God”……
Geotechnical EngineeringHall of Frame
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 13
Charles Augustin CoulombThe Grandfather of Soil Mechanics
(1736 - 1806)
William John Macquorn Rankine
(1820 - 1872)
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 14
Arthur Casagrande
(1902 - 1981)
Ralph Brazelton Peck
(1912 - 2008)
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 15
Others• Henry Philibert Gaspxard Darcy• Christian Otto Mohr• Valentin Joseph Boussinesq• Alec Westley Skempton• Nilmar Janbu• Laurits Bjerrum• Etc.
“Education is the best provision for the journey to old age.”
Aristotle
อางอง
• Braja M. Das :"Principles of Geotechnical Engineering 5th Edition
• รปภาพจาก google images
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 1
CE 371 Soil Mechanics
Suriyah Thongmunee, Ph.D.
Origin of Soil and Grain Size
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 2
Origin of Soil
What is soil come from?Soil are generally formed by
weathering of rocks.
The physical properties of a soil are dictated primarily by the minerals that constitute the soil particles and the rock form which it is derived.
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Origin of Soil
So, to better understand the physical properties of soil, we must be familiar with the basic types of rock, the rock-forming minerals, and weathering
process.
What is a rock?
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 3
What is Rock ??In geology, “rock” is naturally occurring solid aggregate of minerals and/or mineraloids. There are three major groups of rock:
5
• Igneous rocks are formed by solidification of molten magma ejected from deep within earth’s mantle.
• Sedimentary rocks are formed by the deposits of gravel, sand, silt and clay with cementing agents under overburden pressure.
• Metamorphic rocks are the rocks formed by the process of changing the composition and texture by hear and pressure
Rock cycle The final products due to weathering are soils
Where is Soil ??
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 4
Weathering ?In geology, “weathering” is the process of breaking down the rock by mechanical and chemical process into smaller pieces
Mechanical Weathering Process• Frost action/ice wedging• Abrasion• Exfoliation
Weathering ?In geology, “weathering” is the process of breaking down the rock by mechanical and chemical process into smaller pieces
4FeSiO3 + O2 + H2O → 4FeO(OH) + 4SiO2(pyroxene)+(oxygen)+(water) → (limonite)+ (silica)
CaCO3 + H2CO3 → Ca2+ + 2HCO3-(calcite)+(carbonic acid) → (calcium ion) +(bicarbonate ion)
Chemical Weathering Process• Oxidize• Hydration• Carbonation
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 5
Transportation of Weathering Products• The products of weathering may stay in the same place or may
be moved to other places by ice, water, wind, and gravity.
• Soils that remain at their places of formation are called residual soils and soils that moved and deposited to other places are called transported soils.
• An important characteristic of residual soils is the gradation of particle size. Fine grained soil is found at the surface, and the grain size increases with depth. At greater depths, angular rock fragments may also be found.
Transportation of Weathering ProductsThe transported soils may be classified into several groups, depending on their mode of transportation and deposition:
• Glacial soils—formed by transportation and deposition of glaciers
• Alluvial soils—transported by running water and deposited along streams
• Lacustrine soils—formed by deposition in quiet lakes
• Marine soils—formed by deposition in the seas
• Aeolian soils—transported and deposited by wind
• Colluvial soils—formed by movement of soil from its original place by gravity
(e.g. landslides)
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 6
Grain Size
Based on the weathering process, the sizes of particles that make up soil vary over wide range.
Soils are generally called Gravel, Sand, silt or clay, depending on the predominant size of particles within the soil.
Types of soil by Grain Size
• To describe soils by their particle size, several organizations have developed particle-size classifications.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 7
• Soils can be divided into cohesive and non-cohesive soils.
– Cohesive soil contains clay minerals and posses plasticity.
– Non-cohesive means the soil has no shear strength if no confinement. Sand is non-cohesive and non- plastic.
• Soils can be divided into undisturbed soil and disturbed soil.
• Furthermore, gravel and sand can be roughly classified as coarsetexture soils, while silt and clay can be classified as fine texture soils.
Types of soil by other factor
• Gravels are pieces of rocks with occasional particles of quartz, feldspar,
and other minerals.
• Sand particles are made of mostly quartz and feldspar.
• Silts are the microscopic soil fractions that consist of very fine quartz
grains and some flake-shaped particles that are fragments of micaceousminerals.
• Clays are mostly flake-shaped microscopic and submicroscopic particles of
mica, clay minerals, and other minerals.
Main minerals
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 8
Clay minerals= 10-10 m (angstrom)
Clay mineralsDiffuse double layer
Absorbedwater Absorbed water
High viscosity water Free flow
Free flow
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 9
Specific Gravity (GS)• Specific Gravity is as the ratio of the unit weight of a given material to
the unit weight of water.
Apparent Specific Gravity and Absolute Specific Gravity
• The specific gravity of soil solids is often required for various calculations in soil mechanics.
w
s
s
s .
ws V
WG
GS of common minerals
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 10
Mechanical analysis of soil• Mechanical analysis is the determination of the size range of particles
present in a soil, expressed as a percentage of the total dry weight. 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.
Coarse grain
Gravel – SandSieve Analysis
Fine grain
Silt – ClayHydrometer Analysis
0.075 mm
Sieve Analysis: coarse grained soils
Sieve analysis is used to determine the distribution of the larger grain sizes. The soil is passed through a series of sieves with the mesh size reducing progressively, and the proportions by weight of the soil retained on each sieve are measured. There are a range of sieve sizes that can be used, and the finest is usually a 75 m sieve. Sieving can be performed either wet or dry. Because of the tendency for fine particles to clump together, wet sieving is often required with fine-grained soils.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 11
Sieve Analysis Procedure
• Determine the mass of soil retained on each sieve and the pan at last (i.e., M1, M2, M3, .... Mn, and Mp).
• The sum of soil mass retained on each sieve plus the mass in the pan should be equal to
the total mass (ΣM = M1 + M2 + M3 +...+Mn + Mp).
• Determine the cumulative mass of soil retained above each sieve, for the i th sieve we have M1 + M2 + M3+....+Mi .
• the mass of soil passing the i th sieve is ΣM – (M1 + M2 + M3 +... +Mi )
• the percent of soil passing the i th sieve (percent finer) is:
100)...( 21
M
MMMMF i
Results from Sieve AnalysisThe results are plotted on semi-logarithmic graph paper with percent finer as the
ordinate (arithmetic scale) and sieve opening size as the abscissa (logarithmic scale). This plot is referred to as the particle-size distribution curve.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 12
Hydrometer Analysis : fine grained soils
Hydrometer Analysis is used to determine the distribution of fine grainedsoils. The method is based on the principle of sedimentation of soil grains in thewater. When a soil specimen is dispersed in water, the particles settle at differentvelocities, depending on their shape, size and weight, and viscosity of the water.
For simplicity, it is assumed that all the soil particles are spheres and that thevelocity of soil particles can be expressed by Stokes’ law, according to which:
s w18
D2
t
L
GD
wsws
)1(
1818
t
LKD
Hydrometer Analysis : fine grained soils
With the use of the SI units
• Viscosity, η, uses “gsec/cm2”
• Density of water, ρw, uses “g/cm3” (= 1 g/cm3)
• Length, L, uses “cm”
• Time, t, uses “minute”
• Diameter, D, in “mm”, we can get diameter of soil particles:
t
L
GD
wsws
)1(
1818
(min)t
)cm(LK
t
L
)G(
ηD
s•=•
1
30=
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 13
Hydrometer Analysis : fine grained soils
Percent finer by weight finer than a given diameter can be also calculated by knowing the amount of soil in suspension, L, and t.
Hydrometer Analysis : fine grained soils
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 14
Particle-size distribution curve
What we can calculate ?
What we can calculate ?
After construction of particle-size distribution curve, four parameters can be calculated:
• Effective size (D10): This parameter is the diameter in the particle-size distribution curve corresponding to 10% finer.
• Uniformity coefficient (Cu ) defined as:
• Coefficient of gradation (Cz) defined as:
• Sorting coefficient (S0): This parameter is an another parameter for measuring uniformity, used mostly by geologists,. It can be defined as:
Cu D60
D10
S0 D75
D25
Cz D2
30
D60 D10X
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 15
What we can calculate ?
After construction of particle-size distribution curve, four parameters can be calculated:
• Effective size (D10): This parameter is the diameter in the particle-size distribution curve corresponding to 10% finer.
• Uniformity coefficient (Cu ) defined as:
• Coefficient of gradation (Cz) defined as:
• Sorting coefficient (S0): This parameter is an another parameter for measuring uniformity, used mostly by geologists,. It can be defined as:
Cu D60
D10
S0 D75
D25
Cz D2
30
D60 D10X
Particle-size distribution curve
D60 D30D10
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 16
What the particle-size distribution shows us?
Curve I represents a type of soil in which most of the soil grains are the same size. This is called poorly graded soil.
What the particle-size distribution shows us?
Curve II represents a soil in which the particle sizes are distributed over a wide range, termed well graded. Cu= 4 for gravels and 6 for sands
Cz = 1 to 3 (for gravels and sands)
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 17
What the particle-size distribution shows us?
Curve III represents a soil in which the soil might have a combination of two or more uniformly graded fractions. This type of soil is termed gap graded.
Particle ShapeThe particle shape can generally be divided into 3 major categories:
• Bulky particles are formed by mechanical weathering of rock and mineral. The angularity, A, and sphericity, S, of bulky particles are used to describe their shapes.
A = Average radius of corners and edges/ Radius of the maximum inscribed shape
De= equivalent diameter of the particle
V = volume of particle
Lp= length of particle
• Flaky particles have very low sphericity – usually 0.01 or less. These particles are predominantly clay minerals
• Needle-shaped particles are much less common than the other two particle types
S DeLp
De 6V
3
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 18
Particle Shape
• Bulky
• Flaky
• Needle-shaped
Example 1
36
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 19
Example 2
37
Example 3
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 20
Quiz
“Education is the best provision for the journey to old age.”
Aristotle
อางอง• Braja M. Das :"Principles of Geotechnical Engineering 5th Edition• รปภาพจาก google images
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 1
CE 371 Soil Mechanics
Suriyah Thongmunee, Ph.D.
Weight-Volume Relationships
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 2
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Weight-Volume Relationships
Lecture Outline:
1. Introduction
2. Unit weight
3. Weight ratio
4. Volume ratio
5. Weight-Volume Relationships
6. Relative density
3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Introduction
4
Air
Water
Soil (Solid)
Gs
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Introduction
Ws = weight of soil solid
Ww = weight of water
Wa = weight of air ≈ 0
WT = total weight
5
Vs = volume of soil solid
Vv = volume of voids
Vw = volume of water
Va = volume of air
V = total volume
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Unit weight
6
Total Unit weight ( ), defined as the ratio of the weight of soil sample to the whole volume:
Dry Unit weight (d), defined as the ratio of the weight of dry soil to the whole volume:
Saturated Unit weight (sat), defined as the ratio of the weight of saturated soil to the whole volume:
Solid Unit weight (s), defined as the ratio of the weight of soil solid to its volume:
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 4
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Unit weight Density
7
Total density ( ), defined as the ratio of the mass of soil sample to the whole volume:
Dry density (d), defined as the ratio of the mass of dry soil to the whole volume:
Saturated density (sat), defined as the ratio of the mass of saturated soil to the whole volume:
Solid density (s), defined as the ratio of the mass of soil solid to its volume:
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Weight ratio
8
Moisture content (w), also referred to as water content, is defined as the ratio of the weight of water to the weight of solid in a given volume of soil:
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Relationship between , d and w
9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Volumetric ratios
11
Void ratio (e), defined as the ratio of the volume of voids to the volume of solid:
Porosity (n), defined as the ratio of the volume of voids to the total volume:
Degree of saturation (S), defined as the ratio of the volume of water to the volume of voids:
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 6
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Relationship between n and e
12
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Weight-Volume relationships
What do we need to make Weight-Volume relationships?
14
Gs
is the ratio of the weight of a volume of the substance (Solids) to the weight of an equal volume of the reference substance (Water)
Definition ??
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Weight-Volume relationships
From Gs = Ws / wVs
So, Ws = wVs Gs
or
From Gs = ms / wVs
So, ms = wVs Gs
15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Relationship among , e, w and Gs
16
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 8
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 1
The mass of moist soil sample having a volume of 0.0057 m3 is 10.5 kg. The water content and the specific gravity were determined to be 13% and 2.68. Determineda. Total densityb. Dry densityc. Void ratiod. Porositye. Degree of saturation
18
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 2
The mass of moist soil sample having a volume of 0.33 ft3 is 39.93 lb. The oven-dried weight of soil and the specific gravity were determined to be 34.54 lb and 2.68. Determineda. Moisture contentb. Total unit weightc. Dry unit weightd. Void ratioe. Porosityf. Degree of saturation
19
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Soil properties for typical soil
20
คณสมบต หนวย ทราย
หลวม-แนน ดนเหนยว
แขงเชยงใหม
ดนเหนยวออน
กรงเทพฯ
ดนลกรงบดอดแนนใน
โครงสรางทาง อตราสวนชองวาง, e - 0.25 - 1.25 0.59 - 0.66 1.70 – 2.70 0.33 อตราสวนความชน, s (%) 0 –1 00 100 100 90 ความถวงจาเพาะ, Gs - 2.6 - 2.65 2.69 - 2.81 2.62 – 2.70 2.65 ความชน, w % 5 - 30 18.0 - 23.0 65 – 100 11 หนวยนาหนกรวม, t kN/m3 15 – 21 18.0 – 21.0 14.0 – 16.5 22.5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Relative Density
For cohesionless soil (sand), the shear strength of sand normally depends on the packing state of sand.
21
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 10
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Relative Density
The looseness and denseness of granular soil can be defined numerically by relative density as shown follows:
22
ASTM D4253 and D4254
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Typical In-place soil have relative density of 30%- 80%
Qualitative description of sand
23
0
15
50
70
85
Very loose
loose
Medium
Very dense
Dense
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 11
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Typical granular soil
24
Type of soilVoid ratio Unit weight (kN/m3)
emax emin Sr min max
Well grade sand 0.70 0.35 100% 0%
19.5 15
22 19
Uniform sand 0.85 0.50 100% 0%
19 14
20.5 17.5
Silty sand with gravel 0.80 0.25 100% 0%
18 14
22.5 17
Sand with mica mineral and silt 1.25 0.75 100% 0%
17 12
19.5 15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 1
25
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 12
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 2
26
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quiz
27
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 13
“Education is the best provision for the journey to old age.”
Aristotle
อางอง
• Braja M. Das :"Principles of Geotechnical Engineering 5th Edition
• รปภาพจาก google images
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 1
CE 371 Soil Mechanics
Suriyah Thongmunee, Ph.D.
Plasticity and Soil mass structure
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 2
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Plasticity and Soil mass structure
Lecture Outline:
1. Consistency of soil
2. Atterberg limits
3. Discussion on limits and indices
4. Liquidity and consistency indices
5. Activity
6. Plasticity chart
7. Soil mass structure
3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Consistency of clay soil
Consistency is a term to indicate the firmness of cohesive soil such as very soft, soft, stiff, very stiff and hard.
4
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Consistency of clay soil
Water content changes, the physical properties of clay changes.
5
Water content
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Consistency of clay soil
Consistency of clay soil can be expressed in term of:
• Atterberg limits
• Unconfined compressive strength of soil
6
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 4
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Atterberg limits
7
Atterberg, a Swedish scientist and agricultural scientist, considered the consistency of soils in 1911, and proposed a series of tests for defining the properties of cohesive soils. Strength decreases as water content increases.
March 19, 1846 – April 4, 1916
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Atterberg limits
8
At a very low moisture content, soil behaves more like a solid. When the moisture content is very high, the soil and water may flow like a liquid. Hence, the behavior of soil can be divided into 4 basic states: solid, semi-solid, plastic, and liquid.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Atterberg limitsLiquid Limit (LL) is defined as the moisture content at which soil begins to behave as a liquid material and begins to flow.Plastic Limit (PL) is defined as the moisture content at which soil begins to behave as a plastic material.
Shrinkage Limit (SL) is defined as the moisture content at which no further volume change occurs with further reduction in moisture content.
Plastic Index (PI) is the difference of moisture content between the liquid limit and the plastic limit
9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Atterberg limits
10
Transition stage from liquid to solid states
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 6
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Liquid Limit• 150 g air dry soil passing #40 sieve
• At least four tests
• Range of blow varies from 5 – 40 blows
• Water content at 25 blows is LL.
11
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Liquid Limit
12
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Plastic Limit
13
• 20 g air dry soil passing #40 sieve
• At least three tests
• Rolling the soil sample until reach 3.2 mm in diameter
• Water content when the soil crumbles is PL.• Taking at least 6 g of the crumbled soil to determine
moisture content
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Shrinkage Limit
14
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 8
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Degree of shrinkage
15
100×=i
fir V
VVS
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Different states and Consistency of soil
16
States Limits Consistency Volume Change
Liquid Very Soft
………………… LL Liquid Limit …………….. Soft
Plastic Stiff Decrease in Volume
………………… PL Plastic Limit……………… Very Stiff
Semi-solid
…………………. SL Shrinkage Limit……….. Extremely Stiff
Solid Hard Constant
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Liquid Limit
17
Plasticity Level WL
Low Plasticity < 35 %
Intermediate Plasticity 35 – 50 %
High Plasticity 50 – 70 %
Very High Plasticity 70 – 90 %
Extremely High Plasticity > 90%
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Plastic Index
18
PI Plasticity level Hardness Testing method
0 – 3 Non-plastic ตามาก แตกเปนกอนเลกลงไดงาย
3 – 15 Slightly plastic คอนขางตา ใชนวบใหแตกไดงาย
15 – 30 Medium plastic ปานกลาง ใชนวบใหแตกยาก
> 31 Highly plastic สง ไมสามารถใชนวบใหแตกได
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 10
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Degree of shrinkage
19
Quality of soil Sr
Good < 5 %
Medium good 5 – 10 %
Poor 10 – 15 %
Very poor > 15%
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Discussion on limits and indices
• At the same LL, strength of soil having high PI (low PL) is higher than that having low PI (high PL) .
20
LL
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 11
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Discussion on limits and indices
• At the same PL, soil with a lower flow index, IF, has cohesive strength larger than soil with a higher flow index
21
PL
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Liquidity index
22
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 12
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Consistency index
23
100×=PLLL
wLLCI
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
LI and CI according to Consistency of soil
24
Consistency LI CI
Semisolid or solid state < 0 > 1
Very stiff state 0 1
Very soft state 1 0
Liquid state > 1 < 0
100×=PLLL
wLLCI
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 13
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Activity
25
Activity, A, is used to indicate the swelling potential of clay soil.
Inactive(non-swelling type)
Active(swelling type) Normal soil
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Plasticity chart
26
Low Medium High
30% 50%
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 14
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Soil mass structure
Soil mass structure, or soil structure, is defined as the geometric arrangement of soil particles. The structure depends on many factors as follows:
• Shape
• Size
• Mineralogical composition of soil particles
• Nature
• Composition of soil-water
27
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Structure in Cohesionless Soil
The structures generally encountered in cohesionless soils can be divided into two major categories: single grained and honeycombed.
28
single grained structure Honeycombed structure
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Structure in Cohesionless Soil
• Mainly depending on size, shape and relative position• Larger grain size• Wide range of void ratio
29
single grained structure Honeycombed structure
• Fine sand and silt• Large void ratio• Easily break down of the structure• Larger settlement
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Structure in Cohesive SoilMost of structure in cohesive soil is flocculated structure. Thus, clay with flocculated structure is low density and high void ratio. Clay deposits forming in salt water are highly flocculent comparing with that forming in fresh water.
30
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 16
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Structure in Cohesive Soil
31
In some cases, the sediment formed by settling of the individual particles has a dispersed structure, and all particles are oriented more and less parallel to one another. These cases are called “Dispersed structure” (face to face contact)
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Structure in Cohesive Soil
32
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 17
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Structure in composite Soil
33
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 1
34
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 18
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 2
35
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quiz
36
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 19
“Education is the best provision for the journey to old age.”
Aristotle
อางอง
• Braja M. Das :"Principles of Geotechnical Engineering 5th Edition
• V.N.S. Murthy : Geotechnical Engineering
• เอกสารการสอน อ.อนรทธ ธงไชย
• รปภาพจาก google images
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 1
CE 371 Soil Mechanics
Suriyah Thongmunee, Ph.D.
Soil Classification
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Soil Classification
2
Lecture Outline:
1. Classification Systems
2. ASSHTO system
3. Unified Soil Classification System
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 2
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Classification systems
Why soil should be classified ?
Soils in nature rarely exist separately as gravel, sand, silt, clay or organic matter, but are usually found as mixtures with varying proportions of these components.
Classifying soils into groups with similar behavior, in terms of simple indices, can provide geotechnical engineers a general guidance about engineering properties of the soils through the accumulated experience.
3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Classification systems
How many indices are usually used in classification systems of soil?
Particle distribution and Atterberg limits
4
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Classification systems
How many systems are commonly used by geotechnical Engineering ?
AASHTO System : American Association of State Highway and Transportation Officials.
USCS : Unified Soil Classification System.
5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
3 Keys1. Grain Size:
Gravel : Fraction passing 75mm sieve and retained on #10 (2mm) US sieve
Sand : Fraction passing #10 sieve and retained #200 sieve
Silt and Clay : Fraction passing #200 sieve
6
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 4
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
3 Keys2. Plasticity:
PI > 10 : Clay
PI < 10 : Silt
7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
3 Keys3. Cobbles and boulders:
If cobbles and boulders were encountered, they are excluded from
the portion of the soil sample from which classification is made. However, the percentage of such material is recorded.
8
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
soil is classified into seven major groups: A-1 through A-7. Soils classified under groups A-1, A-2, and A-3 are granular materials of which 35% or less of the particles pass through the No. 200 sieve. Soils of which more than 35% pass through the No. 200 sieve are classified under groups A-4, A-5, A-6, and A-7. These soils are silt-clay materials.
9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
10
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 6
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
11
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
Group Index (GI): To evaluate the quality of a soil as a highway subgrade material, one must 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:
where:
F200: % passing #200 sieves expressed as whole number
LL: liquid limit of soil
PI: Plasticity Index of soil
12
High Value = Low quality
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Classification procedure
For granular
13
Calculate “GI”
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Classification procedure
For silt-clay
14
Calculate “GI”
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 8
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
16
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
AASHTO system
17
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 1
18
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 10
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 2
19
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
USCS
The original form of USCS, Unified Soil Classification, System was
purposed by Casagrande in 1942. The USCS was revised in 1952. At the present, the USCS method is widely used by engineer.
It divides soil into 3 majors divisions: coarse-grained soils, fine-grained soil and highly organic soils.
20
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 11
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
USCS
In the laboratory, grain-size distribution curve and atterberg limits
are used to classify. the peaty soil are identified by color, odor, spongy feel and fibrous texture.
The points must be kept in mind are
– Only soil sample passing a 75 mm sieve is classified
– Coarse fraction = percent retained above # 200 sieve
– Gravel fraction = percent retained above # 4 sieve
21
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
USCS
22
First letter(Type of soil)
Latter(Soil properties)
G = Gravel W = Well Grade
S = Sand P = Poorly Grade
M = Silt M = Silty
C = Clay C = Clayey
O = Organic Soil L = Low Liquid Limit
P = Peat H = High Liquid Limit
Example GW = Well grade gravel SC = Clayey sand CH = High liquid limit clay OL = Organic silt, low plasticity
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 12
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
USCS
• Checking passing #200 sieve
if passing #200 sieve < 5%, no need to do Atterberg limits
if passing #200 sieve > 5%, need to do Atterberg limits and use plasticity chart
• Checking passing #200 sieve again
if passing #200 sieve < 50%, Coarse-grained soil
if passing #200 sieve ≥ 50%, need to do Atterberg limits
23
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Plasticity chart
24
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 13
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E. 25
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 3
26
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 14
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 4
27
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quiz 1
28
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quiz 2
29
“Education is the best provision for the journey to old age.”
Aristotle
อางอง
• Braja M. Das :"Principles of Geotechnical Engineering 5th Edition
• V.N.S. Murthy : Geotechnical Engineering
• เอกสารการสอน อ.อนรทธ ธงไชย
• รปภาพจาก google images
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 1
CE 371 Soil Mechanics
Suriyah Thongmunee, Ph.D.
Permeability
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Permeability
Lecture Outline:1. Soil Permeability2. Bernoulli’s Equation3. Darcy’s Law4. Hydraulic Conductivity5. Permeability Test in the Field
2
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 2
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Soil Permeability
What is Permeability?Soils are assemblages of solid particles with interconnected voids where water can
flow from a point of high energy to a point of low energy.
Permeability is the measure of the soil’s ability to permit water to flow through its
pores or voids. It is one of the most important soil properties of interest to geotechnical engineers
3
Easy to flow – High permeability Hard to flow – Low permeability
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Soil Permeability
Importance of permeability• Permeability influences on the rate of settlement of a saturated soil under load.• The stability of slopes and retaining structures can be greatly affected by the
permeability of the soils involved.• The design of earth dams is very much based on the permeability of the soils used.• Filters made of soils are designed based upon their permeability.
4
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Soil Permeability
The study of permeability is important for: • Estimating the quantity of underground seepage.• Investigating problems involving pumping seepage of water for underground
constructions.• Analyzing the stability of earth dams and earth retaining walls subjected to seepage
forces.
5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Bernoulli’s EquationAccording to Bernoulli’s equation, total head at a point in water under motion can be
calculated by below equation. The total head is sum of pressure head, velocity head and elevation head.
However, when water flows through soils, the seepage velocity is often very small. Therefore, the total head at any point can be adequately represented by :
6
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 4
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Bernoulli’s EquationThe heads of water at points A and B as the water flows from A to B are given as follows (with respect to a datum):
Total head at point A :
Total head at point B :
Head loss between A and B :
Head loss in dimensionless form :
7
i : hydraulic gradient
Aw
AA Z
γ
uh +=
Bw
BB Z
γ
uh +=
BA hhh =Δ
L
hi
Δ=
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Bernoulli’s EquationThe variation of the velocity, v, with hydraulic gradient, i, can be divided into 3 zone as shown in figure below.
8
In most soil, the flow of water through the void spaces can be considered as laminar flow.
So, ∝
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Darcy’s LawIn 1856, Darcy proposed a simple equation for the discharge velocity of
water, v, through saturated soils, which may be expressed as
where,• v : discharge velocity, which is the quantity of water flowing in unit time through a unit
gross cross-sectional area of soil (l/t)• k : coefficient of permeability or hydraulic conductivity (l/t)• i: hydraulic gradient
9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Darcy’s LawFlow rate , q, can be determined by multiple the equation proposed by
Darcy with gross cross-section area as shown below;
where,• q: flow rate (l3/s)• A: gross cross-sectional area (l3)
Moreover, quantity of water, Q, can be calculated by multiple the flow rate by
time duration, t;
10
kiAvAq ==
kiAtvAtqtQ ===
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 6
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Darcy’s LawSeepage velocity , vs, is the actual velocity of water through the void spaces.
11
Derivation of seepage velocity
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Hydraulic Conductivity
Hydraulic conductivity, k, also known as coefficient of permeability,
is the property of soil that describes the ease with which the water can move through pore spaces. It is usually expressed in cm/sec or m/sec in SI units.
The hydraulic conductivity of soils depends on several factors:• Fluid viscosity• Pore size distribution• Grain size distribution• Grain shape• Porosity• Void ratio• Degree of soil saturation
12
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Hydraulic Conductivity
13
Typical values of hydraulic conductivity of saturated soil
** For unsaturated soil, the hydraulic conductivity is lower than saturated soil and increases rapidly with increase of degree of saturation.
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Determination of “k”
Hydraulic conductivity, k, can be determined by using indirect methods, laboratory methods and field methods.
1. Indirect methods
2. Laboratory methods
3. Field methods
14
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 8
Indirect Methods
Empirical formulas using index properties of soil
15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Empirical formula
granular soils
Ck = 8 – 12 สาหรบทรายทมขนาดคละสมาเสมอ= 5 – 8 ทรายทมขนาดคละด
(mm/sec) D C k 210k
Hazen’s approximation (1930s)
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Empirical formula
The Kozeny-Carman equation
granular soilsIn 2003, Carrier published a paper in Journal of Geotechnical and Environmental Engineering, entitled: “Good-bye Hazen; Hello, Kozeny-Carman”
where Cs : shape factorSs : specific surface areaT : tortuosity of flow channels
γw : unit weight of waterη : viscositye : void ratio
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Empirical formulagranular soilsCarrier (2003)
where SF : shape factorfi : fraction of particles between a pair of two sieve sizes li (larger) and si (smaller), in
percentDli : Aperture diameter of larger sieveDsi : Aperture diameter of smaller sievee : void ratio
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 10
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Empirical formula
Chapuis (2004) proposed an empirical relationship for the hydraulic conductivity in terms of D10 and the void ratio, e, in the following form
where D10 : diameter at 10% passinge : void ratio
granular soils
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Samarasinghe, Huang and Drnevich (1982) suggested that the hydraulic
conductivity of normally consolidated clays can be given by:
where C and n are constants to be determined experimentally
Empirical formulagranular soils
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 11
Laboratory Methods
constant head and falling head
21
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Laboratory test : Constant head
22
Aht
Q.L k
AtL
hk
kiAt Q
=
Δ=
=
∆h
L
QDATUM
The constant head test is used primarily for coarse-grained soils.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 12
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Laboratory test : Falling head
23
h1
h2
2
1
hh ln
AtaL k
dtdh a - A
Lhk q
=
==
Integration
DATUM
The falling head test is used primarily for fined-grained soils.
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Example 1
24
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 13
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Example 1
25
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Example 2
26
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 14
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Example 2
27
Field Methods
pumping field test and borehole permeability test
28
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Permeability Test in the Field
Pumping test:The average hydraulic conductivity of a soil deposit in the direction of flow
can be determined by performing pumping tests from wells.
29
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Permeability Test in the Field
Pumping test:During the test, water is pumped out at a constant rate from a test well
that has a perforated casing. Several observation wells at various radial distances are made around the test well.
Steady state: the equilibrium state when the drawdown keeps no change at one particular location to the well, no further drawdown develops as pumping continues.
30
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 16
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Equation for k an unconfined aquifer
31
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Equation for k an confined aquifer
32
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 17
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Permeability Test in the Field
Porous borehole:
33
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Permeability Test in the Field
Cased hole and soil flush with bottom :
34
In this test, auger holes are made in the field that extend below the water table level. Casing is provided down to the bottom of the hole. The casing is filled with water. The water level in the casing is observed by measuring the depth of the water surface below the top of casing.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 18
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Equivalent hydraulic conductivity in stratified soil
35Horizontal Direction Vertical Direction
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Equivalent hydraulic conductivity in stratified soil
36
Horizontal Direction
Condition
q = q1 + q2 + q3 + … + qn
ieq= i1 = i2 = i3 = in
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 19
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Equivalent hydraulic conductivity in stratified soil
37
Vertical Direction
Condition
v = v1 = v2 = v3 = vn
h = h1 + h2 + h3 + … + hn
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Example 3
38
Layer 1
Layer 2
Layer 3
Estimate the ratio of equivalent permeability, kH(eq)/kV(eq)
Layer No. Thickness (m) Hydraulic conductivity
1 3 k1= 10-4 cm/sec
2 4 k2= 3.2×10-2 cm/sec
3 5 k3= 4.1×10-5 cm/sec
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 20
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Example 3
39
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Example 4
40
Determine the rate of water supply in cm3/hr
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 21
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Example 4
41
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Quiz 1
42
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 22
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 7th E.
Quiz 2
43
“Education is the best provision for the journey to old age.”
Aristotle
อางอง
• Braja M. Das :"Principles of Geotechnical Engineering 5th Edition
• V.N.S. Murthy : Geotechnical Engineering
• เอกสารการสอน อ.อนรทธ ธงไชย
• รปภาพจาก google images
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 1
CE 371 Soil Mechanics
Suriyah Thongmunee, Ph.D.
Seepage
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Seepage
2
Lecture Outline:1. Laplace’s equation for continuity
2. Flow net construction
3. Determination of quantity of seepage
4. Determination of uplift pressure
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 2
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Laplace’s equation
In reality, the flow of water through soil is not in one direction only, nor is it uniform over the entire area perpendicular to the flow.
3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Laplace’s equation
In such cases, the ground water flow is generally calculated by the use of graphs referred to as flow nets. The concept of the flow net is based on Laplace’s equation of continuity, which governs the steady flow condition for a given point in the soil mass.
4
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Laplace’s equation
5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Laplace’s equation
In considered element soil block, the rates of inflow and outflow(q=va) can be determined as follows
Rate of Inflow
Rate of outflow
6
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 4
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Laplace’s equation
In steady flow and no volume change of soil mass, the rate of inflow should equal the rate of outflow (qin = qout). Thus,
7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Laplace’s equation
With Darcy’s law, the discharge velocity can be expressed as
8
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Laplace’s equation
If soil is isotropic with respect to the hydraulic conductivity, the equation can be simplified as
9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Laplace’s equation
The equation shown below is Laplace’s equation which can solve the seepage problems with more than one direction. However, the solution of equation is complicated.
10
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 6
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
The Laplace’s equation in an isotropic soil represents two orthogonal families of curves—that is, the flow lines and the equipotential lines.
11
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
Flow line is a line along which a water particle will travel from upstream to the downstream side in the permeable soil.
12
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
Equipotential line is a line along which the total head at all points is equal.
13
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
A combination of flow lines and Equipotential lines is called flow net.
14
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 8
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
To complete flow net, one must draw flow lines and equipotential lines in such a way that;
15
1. The equipotential lines intersect the flow lines at right angles.
2. The flow line should be parallel to adjacent flow line.
3. The equipotential line. should be parallel to adjacent equipotential line.
4. The flow elements formed are approximate squares.
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
Condition 1: The upstream and downstream surfaces of the permeable layer (lines ab and de) are equipotential lines.
16
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
Condition 2: Because ab and de are equipotential lines, all the flow lines intersect ab and de at right angles.
17
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
Condition 3: The boundary of the impervious layer—that is, line fg—is a flow line, and so is the surface of the impervious sheet pile, line acd.
18
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 10
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Flow net
Condition 4: The equipotential lines intersect acd and fg at right angles.
19
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Some cases of flow net
20
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 11
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Some cases of flow net
21
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quantity of seepage
22
Darcy’s law : q = kia
Consider one flow channel
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 12
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quantity of seepage
23
For n flow channel, we can calculate the quantity of seepage by using below equation;
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Uplift pressure
Uplift pressures are pressures, due to the water that seeps below structures, that exerts pressures on the bases of the structures.
24
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 13
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 1
25
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 2
26
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 14
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 3
27
Calculate the seepage loss in m3/day and uplift pressure at point 1,4 and 7Assume; 9 m of dam length
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quiz 1
28
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quiz 1
29
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Quiz 2
30
Calculate the seepage loss in m3/day and uplift pressure at the base of weir
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 16
“Education is the best provision for the journey to old age.”
Aristotle
อางอง• Braja M. Das :"Principles of Geotechnical Engineering 5th Edition• V.N.S. Murthy : Geotechnical Engineering• เอกสารการสอน อ.อนรทธ ธงไชย• รปภาพจาก google images
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 1
Soil Mechanics
Suriyah Thongmunee, Ph.D.
In situ stresses
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
In situ stresses
2
Lecture Outline:
1. Effective Stress and Pore Water Pressure
2. Stresses in Soil without Seepage
3. Stresses in Soil with Upward Seepage
4. Stresses in Soil with Downward Seepage
5. Seepage Force
6. Heaving in Soil
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 2
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Effective stress and Pore Water Pressure
When a saturated soil mass is subjected the pressures
or stress (σ) as a result of an external load and the volumetric weight of the material itself, the pressures will be carried by two pressures.
1. pore water pressure (u)
2. effective pressure (σ’)
3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Effective stress and Pore Water Pressure
Pore water pressure (u) or neutral stress is pressure due to the water in continuous void spaces. This pressure will act with equal intensity in all directions. The pore water pressure can be induced in the pores of a soil mass by a head of water over it.
Effective pressure (σ’) or intergranular is pressure transmitted through soil particle to soil particle at the contact points.
4
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 3
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Effective stress and Pore Water Pressure
In summary, the total stress (σ) is the sum of the effective stress (σ’) and the pore water pressure (u)(neutral stress).
The effective stress in a soil mass controls its volume change and strength. Increasing the effective stress (equivalent to reduce the pore pressure if the total stress is constant)
induces soil to move into a denser state of packing.
5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil without Seepage
Figure shows a column of saturated soil mass with no seepage of water in any direction. The total stress at the elevation of point A can be obtained from the saturated unit weight of the soil and the unit weight of water above it. Thus,
6
Where equals the submerged unit weight of soil.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 4
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil without SeepagePlots of the variations of the total stress, pore water pressure, and effective stress,
respectively, with depth for a submerged layer of soil placed in a tank with no seepage:
7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 1
8
Dry Zone (S = 0%)
Thickness of 3 m, γd = 16.5 kN/m3
Capillary Zone (S = 0 %)
Thickness of 1 m, , γ = 17.6 kN/m3
Saturated Zone (S = 100%)
Thickness of 3 m, , γsat = 18.9 kN/m3
G.W.
Calculate and plot the variation
of σ, σ’ and u with depth
Impermeable layer
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
σ with depth
σ, kN/m2
z, m
Example 1
Dry Zone (S = 0%)
Thickness of 3 m, γd = 16.5 kN/m3
Capillary Zone (S = 0 %)
Thickness of 1 m, , γ = 17.6 kN/m3
Saturated Zone (S = 100%)
Thickness of 3 m, , γsat = 18.9 kN/m3
G.W.
Impermeable layer
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
σ with depth
σ, kN/m2
z, m
49.5
Example 1
Dry Zone (S = 0%)
Thickness of 3 m, γd = 16.5 kN/m3
Capillary Zone (S = 0 %)
Thickness of 1 m, , γ = 17.6 kN/m3
Saturated Zone (S = 100%)
Thickness of 3 m, , γsat = 18.9 kN/m3
G.W.
Impermeable layer
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 6
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
σ with depth
σ, kN/m2
z, m
67.1
49.5
Example 1
Dry Zone (S = 0%)
Thickness of 3 m, γd = 16.5 kN/m3
Capillary Zone (S = 0 %)
Thickness of 1 m, , γ = 17.6 kN/m3
Saturated Zone (S = 100%)
Thickness of 3 m, , γsat = 18.9 kN/m3
G.W.
Impermeable layer
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
σ with depth
σ, kN/m2
z, m
67.1
49.5
123.8
Example 1
Dry Zone (S = 0%)
Thickness of 3 m, γd = 16.5 kN/m3
Capillary Zone (S = 0 %)
Thickness of 1 m, , γ = 17.6 kN/m3
Saturated Zone (S = 100%)
Thickness of 3 m, , γsat = 18.9 kN/m3
G.W.
Impermeable layer
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 7
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
u with depth
u, kN/m2
z, m
Example 1
Dry Zone (S = 0%)
Thickness of 3 m, γd = 16.5 kN/m3
Capillary Zone (S = 0 %)
Thickness of 1 m, , γ = 17.6 kN/m3
Saturated Zone (S = 100%)
Thickness of 3 m, , γsat = 18.9 kN/m3
G.W.
Impermeable layer
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
u with depth
u, kN/m2
0
29.43
Example 1
Dry Zone (S = 0%)
Thickness of 3 m, γd = 16.5 kN/m3
Capillary Zone (S = 0 %)
Thickness of 1 m, , γ = 17.6 kN/m3
Saturated Zone (S = 100%)
Thickness of 3 m, , γsat = 18.9 kN/m3
G.W.
Impermeable layer
z, m
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 8
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
u, kN/m2
z, m
σ, kN/m2
z, m
σ', kN/m2
z, m
0
29.4
67.1
49.5
123.8
Example 1
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
u, kN/m2
z, m
σ, kN/m2
z, m
σ', kN/m2
z, m
0
29.4
67.1
49.5
123.8
Example 1
49.5
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 9
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
u, kN/m2
z, m
σ, kN/m2
z, m
σ', kN/m2
z, m
0
29.4
67.1
49.5
123.8
Example 1
67.1
49.5
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
u, kN/m2
z, m
σ, kN/m2
z, m
σ', kN/m2
z, m
0
29.4
67.1
49.5
123.8
Example 1
67.1
49.5
94.4
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 10
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 2
19
Layer 1
Layer 2
Layer 3
G.W.
Impermeable layer
Layer No.
Thickness (m)
Soil parameter
1 4 e = 0.40,Gs = 2.62
2 5 e = 0.60,Gs = 2.68
3 3 e = 0.81,Gs = 2.73
Calculate and plot the variation
of σ, σ’ and u with depth
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 3
20
Calculate and plot the variation
of σ, σ’ and u with depth
Layer No.
Thickness (m)
Soil parameter
1 4 e = 0.40,Gs = 2.62
2 5 e = 0.60,Gs = 2.68
3 3 e = 0.81,Gs = 2.73
Because hard rain, ground water level shifted to ground surface
Layer 1
Layer 2
Layer 3
Impermeable layer
G.W.
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 11
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil with Upward Seepage
If water is seeping, the effective stress at any point in a soil mass will differ from that in the static case. It will increase or decrease, depending on the direction of seepage.
22
Upward Seepage Downward Seepage
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil with Upward Seepage
23
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 12
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil with Upward Seepage
24
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil with Upward Seepage
25
Plots of the variations of the total stress, pore water pressure, and effective stress, respectively, with depth for a submerged layer of soil placed in a tank with upward seepage:
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 13
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil with Upward Seepage
26
The effective stress at a point located at a depth z measured from the surface of a soil layer
is reduced by an amount izw because of upward seepage of water.
If the rate of seepage and thereby the hydraulic gradient gradually are increased until σ’c= 0, the
hydraulic conductivity at zero effective stress is termed as critical hydraulic conductivity.
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil with Upward Seepage
This situation generally is referred to as boiling, or a quick condition.
27
For most soils, the value of icrvaries from 0.9 to 1.1, with an average of 1
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 14
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 1
28
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 1
29
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 15
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Stresses in Soil with Downward Seepage
30
Plots of the variations of the total stress, pore water pressure, and effective stress, respectively, with depth for a submerged layer of soil placed in a tank with downward seepage:
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Seepage Force
The previous topics showed that the effect of seepage is to increase or
decrease the effective stress at a point in a layer of soil. Often, expressing the seepage force per unit volume of soil is convenient.
In Figure, it was shown that, with no seepage, the effective stress at a
depth z measured from the surface of the soil layer in the tank is equal to z’. Thus, the effective force (P’1) or static effective force on an area A is
31
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 16
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Seepage Force
In case of upward seepage, the effective stress at a depth z measured
from the surface of the soil layer in the tank is equal to z’-ziw. Thus, the effective force (P’2) on an area A is
32
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Seepage Force
Hence, the decrease in the total force because of seepage is
The volume of the soil contributing to the effective force equals zA, so the seepage force per unit volume of soil is
33
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 17
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Seepage Force
Similarly, for downward seepage, it can be shown that the seepage
force in the downward direction per unit volume of soil is w, but direction is opposite.
34
So, it can be concluded that the direction of seepage force is the same as direction of flow in case of isotropic soils
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 2
35
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 18
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 2
36
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Heaving in Soil due to flow
Seepage force per unit volume of soil can be used for checking possible failure of sheet pile structures where underground seepage may cause heaving (piping) of soil on the downstream side.
37
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 19
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Heaving in Soil due to flow
Terzaghi (1922) concluded that heaving generally occurs within a distance of D/2 from the sheet piles (when D equals depth of embedment of sheet piles into the permeable layer).
38
FS : factor of safetyW’ : submerged weight of soil in the heave zone per unit length of sheet pile U :uplifting force caused by seepage on the same volume of soil
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Heaving in Soil due to flow
39
D : Depth of embedment of sheet pileD/2 : heave zone , distance from sheet pile
’ : submerged unit weightw : water unit weightiav : average hydraulic gradient at the bottom of the block of soil (hav/D) This term refer to average head loss
between bottom and top of the considered soil mass
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 20
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 3
40
Check heaving condition of the sheet pile as shown in the figure
H = 10Nf = 5Nd = 11
h = 10/11
2519= m/kN . γsat
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
Example 3
41
6 78
9
10
11
D/2
D
W
Seepage Force
( )
9322=819×33680
699===
33680=10
3683=
3683=552+732+643+554
=Δ
=××=Δ=Δ
=×=Δ=Δ
=×=Δ=Δ
=×=Δ=Δ
...
.
γi
'γ
U
'WFS
..
i
m .4
.... h
m 2.55 11
10 2.8 h)2.8( h
m 2.73 11
10 3 h)3( h
m 3.64 11
10 4 h)4( h
m. 4.55 11
10 5 h)5( h
wav
av
av
4
3
2
1
กลศาสตรของดน : Soil Mechanics 7/23/2015
ดร.สรยะ ทองมณ : Suriyah THONGMUNEE 21
Textbook: Braja M. Das, "Principles of Geotechnical Engineering", 5th E.
How to protect heaving (piping)
42
“Education is the best provision for the journey to old age.”
Aristotle
อางอง
• Braja M. Das :"Principles of Geotechnical Engineering 5th Edition
• V.N.S. Murthy : Geotechnical Engineering
• เอกสารการสอน อ.อนรทธ ธงไชย
• รปภาพจาก google images