ecg503 week 4 lecture note chp2

Upload: zulhusni-che-razali

Post on 01-Mar-2018

223 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    1/66

    GEOTECHNICAL ENGINEERING

    ECG 503

    LECTURE NOTE 03

    TOPIC : 2 0 SLOPE RISK

    ENGINEERING

    31 JULY 2008

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    2/66

    LEARNING OUTCOMES

    Learning outcomes:

    At the end of this lecture/week the students would

    be able to:

    Conduct slope risk assessment analysis.

    Determine the various of slope protection and

    rehabilitation works.

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    3/66

    Types of slopes

    Slope materials

    Types of failures

    Stability analysis

    SLOPE

    STABILITY

    Classification of landslides

    Cut Slope

    Earth fill / embankment

    Total stress vs.

    effective stress

    Shear strength

    Plastic Equilibrium

    Factor of safety

    Methods

    Infinite slopes

    Finite slopes

    OUTLINE soils

    Slope instability

    Increased in stress

    Decreased in strength

    Rocks

    Residual soils

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    4/66

    TYPES OF LANDSLIDES

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    5/66

    TYPES OF LANDSLIDES (2)

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    6/66

    TPYE OF MOVEMENT

    TYPE OF MATERIAL

    Bedrock

    Engineering soils

    Predominantly coarse Predominantly fine

    Falls Rock fall Debris fall Earth fall

    Topples Rock topple Debris topple Earth topple

    Slides

    Rotational Rock slump Debris slump Earth slump

    Translational

    Few unitsRock block

    slide

    Debris block

    slideEarth block slide

    Many

    unitsRock Slide Debris slide Earth slide

    Lateral spreads Rock spread Debris spread Earth spread

    FlowsRock flow

    (deep creep)

    Debris flow

    (soil creep)

    Earth flow

    (soil creep)

    Complex Combination of two or more principal types of movement

    Classification of Landslides (Varnes, 1978)

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    7/66

    TYPES OF SLOPE1. Natural slopes

    2. Engineered slopes

    Cut slopes

    Fill slopes: Road and

    railway embankmentsinvolving compacted

    soils

    Retaining structures

    Rock slopes Bogot (Colombia)Geogrid reinforced steep road

    embankment

    Engineered Cut Slope

    Altered by excavation activities Slope failure of a roadembankment (fill slope)

    Rock slope in Hong Kong

    http://www.dot.ca.gov/dist05/projects/bigsur/gallery/detract/images/cut_slope_jpg.jpg
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    8/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    9/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    10/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    11/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    12/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    13/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    14/66

    FACTORS AFFECTING SLOPE STABILITY

    1. Pore pressure increased

    2. Erosion

    3. Soil stratification

    4. Soil degradation and weathering

    5. Presence of tension cracks

    6. Vegetative cover

    7. Change of stress condition

    8. Rise of the groundwater table9. Rock mass discontinuities

    10. Rock mass state

    Among the factors which may contribute to slope

    sliding movements are :-

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    15/66

    Main items required to evaluate the

    stability of a slope

    1.Shear strength of soils

    2.Slope geometry

    3.Pore pressures or seepage forces

    4.Loading and environmental conditions.

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    16/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    17/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    18/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    19/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    20/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    21/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    22/66

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    23/66

    Slope failure in natural

    slope

    TYPES OF SLOPE (continue)

    The Wolf Mountainlandslide, a large

    slump-debris flow

    with an estimated

    volume of 500,000

    cubic yards,

    occurred on May18, 1997 . The

    debris flows

    overran a 400-ft

    stretch of U.S.

    Highway 26-89, a

    primary highway

    leading to Jackson, and to

    Yellowstone

    National Park .

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    24/66

    Rock fall

    Potential rock fall hazard

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    25/66

    Slope failure in residual soil formation involving rock fall

    Bukit Lanjan

    Kuala Lumpur

    28th Nov 2003

    Surcharge

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    26/66

    Rock slopes

    Sheet jointing in

    granite (Hong Kong)

    Rock slide by undercutting

    sheet joints (Hong Kong)

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    27/66

    Slope failure at Bukit Antarabangsa

    Condominium (15/5/1999)

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    28/66

    Mud flow

    Tragedy at Pos Dipang

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    29/66

    Tanah runtuh di Kampong Pasir, Hulu Klang

    pada 31 Mei 2006 involved 4 lifes.

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    30/66

    ROCK FALL

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    31/66

    EXAMPLE OF

    DEBRIS FLOW

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    32/66

    EXAMPLE OF EARTH FLOW

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    33/66

    EXAMPLE OF AN

    EARTH SLUMP

    (Rotational )

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    34/66

    EXAMPLE OF A SOIL CREEP

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    35/66

    EAST COAST EXPRESSWAY

    169 kilometer

    STEP

    TURFING

    TREE PLANTING

    http://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.uitm.edu.my/conference/stss_04/index.htm
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    36/66

    CUT SLOPE

    NORTH SOUTH EXPRESSWAY

    848 kilometer

    http://www.llmnet.gov.my/bm/Operasi/PLUS/highwayplus2.JPGhttp://www.llmnet.gov.my/bm/Operasi/PLUS/highwayplus2.JPGhttp://www.llmnet.gov.my/bm/Operasi/PLUS/highwayplus2.JPGhttp://www.llmnet.gov.my/bm/Operasi/PLUS/highwayplus2.JPGhttp://www.llmnet.gov.my/bm/Bina/lpt/lebuhraya%20LPT%20(2).jpg
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    37/66

    EAST COAST EXPRESSWAY

    169 kilometer

    TURFING

    DRAIN

    http://www.llmnet.gov.my/bm/Bina/lpt/lebuhraya%20LPT%20(2).jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lebuhraya%20LPT%20(2).jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lebuhraya%20LPT%20(2).jpghttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPG
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    38/66

    KL - KARAK HIGHWAY60 kilometer

    TERRACING

    TURFING

    EXISTING TREE

    CASCADED DRAIN

    V SHAPED DRAIN

    http://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk1.JPG
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    39/66

    KL - KARAK HIGHWAY

    60 kilometer

    SLOPE CUTTING

    EXISTING TREE

    http://www.llmnet.gov.my/bm/Operasi/KLK/klk1.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk1.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk1.JPGhttp://www.llmnet.gov.my/bm/Operasi/SAE/Kesas2.JPG
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    40/66

    SHAH ALAM EXPRESSWAY

    34.5 kilometer

    SOIL NAILING

    GUNITING

    SURFACE DRAINAGE

    http://www.llmnet.gov.my/bm/Operasi/SAE/Kesas2.JPGhttp://www.llmnet.gov.my/bm/Operasi/SAE/Kesas2.JPGhttp://www.llmnet.gov.my/bm/Operasi/SAE/Kesas2.JPGhttp://www.llmnet.gov.my/bm/Operasi/SAE/Kesas2.JPG
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    41/66

    COVERED BY CREEPERS GUNITING & TURFING

    GUNITING GEOSYNTHETIC SHEET

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    42/66

    R.C WALL GUNITING

    SOIL NAILING GUNITING

    Normal question asked

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    43/66

    Normal question asked.

    1. Why slopes fail during rainy season ?

    2. Why slope failure due to rainfall is a shallow type slope failure ?

    3. What is the important of unsaturated soil mechanics in slope stability ?

    4. Why the distribution of the negative pore water pressure above GWT is ignore in the

    conventional slope stability analysis ?

    5. Why the stability analysis using the conventional method indicates slope failed i.e.

    FOS < 1 whereas the slope is still standing ?

    6. How does geotechnical engineer modelled slope failure due to rainfall infiltration

    before understanding the unsaturated soil mechanics ?

    7. Why slope that has been standing safely for quite a while suddenly fails ?

    8. How does infiltration affect the stability of slope ?

    9. Does soil shear strength continuously increase with suction ?

    10. Can the conventional method of slope stability analysis modelled shallow type ofslope failure due to infiltration ?

    11. Is the Highland Towers tragedy involved the subject of stability of slope in effect of

    infiltration ?

    12. Does the slope cover using shotcrete or plastic sheet help to stabilize the slope ?

    PREVIOUS PRACTICE OF MODELLING SLOPE

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    44/66

    Geotechnical engineers used to model slope failure due to rainfall infiltration by

    considering the GWT to rise. Whereas GWT in tropical residual soil is far below the

    slope surface. The assumption does not depicts what actually happen in the field.

    This happened because the mode of failure is not well understood besides the lack

    of knowledge in the mechanics of unsaturated soils in the past.

    1. Effective stress decrease due to

    buoyancy effect of the

    submerged section of the slice.

    2. Therefore the shear resistance

    decrease.

    3. Thence, FOS decrease.

    4. But still the shallow type of

    slope failure cannot bemodelled.

    PREVIOUS PRACTICE OF MODELLING SLOPE

    FAILURE DUE TO RAINFALL INFILTRATION

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    45/66

    FEATURES OF A SLOPE FAILURE

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    46/66

    TERMINOLOGY

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    47/66

    SLOPE MATERIALS

    Types of geologic soil deposits

    Typical residual soil profile

    (Little, 1969)

    MODES OF SLOPE FAILURE

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    48/66

    MODES OF SLOPE FAILURE

    Toe circle

    Slope circle

    Slope failureBase failure

    Shallow slope failure

    Typical of

    slope failure

    due to rainfallinfiltration

    Translational slides

    Theoretical model

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    49/66

    Theoretical model

    for slope stability

    Effective stress analysis ordinary slice method (Fellenius, 1927)

    The theory doesnt work for rainfall

    induced failure, therefore the factors

    involved in the theoretical model need

    to be changed or improved.

    From theoretical model, the behaviour can be anticipated

    before it actually happen.

    Disturbing factor

    Resisting factor

    Mechanism of rainfallEffective stress and shear strength

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    50/66

    Rain

    Mechanism of rainfall

    induced slope failure

    International Seminar on Civil and Infrastructure Engineering, UiTM 13 & 14 June 2006 (ISCIE 06)

    A

    At point A, effective

    stress increase duringinfiltration. Effective

    stress increase should

    be elevating the shear

    stress, then why failure

    ????

    Because, shear strength

    decrease when the

    wetting front arrived at A

    due to suction loss !!!!!!

    must be incorporated in slope

    stability analysis !!!!!

    M d l i filt ti i t l

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    51/66

    Volumetric moisture content (cm3/cm3)

    Soildepth(cm)

    0.00

    t = 581.7 s

    0.20 0.30 0.40

    5

    10

    15

    20

    25

    30

    35

    40

    45

    50

    55

    t = 701.7 s

    t = 821.7 s

    t = 941.7 s

    Saturated volumetric moisture

    content = 0.387 cm3/cm3

    0.10

    Model infiltration into slope

    Richard equation for moisture

    flow in unsaturated media

    Gravity has

    negligible

    effect on

    infiltration

    1

    zhhK

    zthhK

    xthhC

    l f i i il h i

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    52/66

    A needle floating on water surface.

    Its weight depresses the surface,and is balanced by the surface

    tension forces on the sides.

    Surface tension force ?

    Role of suction in soil mechanics.

    Surface tension force ?

    http://en.wikipedia.org/wiki/Image:SurftensionDiagram.gifhttp://en.wikipedia.org/wiki/Image:Wasserl%C3%A4ufer_bei_der_Paarung_crop.jpg
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    53/66

    Surface Tension and the Water Strider

    Beading of rain water on awaxed surface.

    Water does not adhere towax, surface tension

    prevents water drops fromspreading out over the wax.

    Surface tension force ?

    S f t i f ?

    http://en.wikipedia.org/wiki/Image:Wasserl%C3%A4ufer_bei_der_Paarung_crop.jpghttp://en.wikipedia.org/wiki/Image:Dew_2.jpg
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    54/66

    Surface tension force ?

    Surfacetension

    prevents thecoin from

    sinking.

    The coin isindisputablydenser than

    water, so

    cannot befloating due tobuoyancy

    alone.

    SUCTION IN SOIL MECHANICS

    http://upload.wikimedia.org/wikipedia/commons/9/9c/2006-01-15_coin_on_water.jpghttp://upload.wikimedia.org/wikipedia/commons/9/9c/2006-01-15_coin_on_water.jpg
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    55/66

    SUCTION IN SOIL MECHANICS

    Soil

    particle

    Bigger

    suction force

    Suction = (ua-uw) Agitation force due to

    surface tension of water.

    Water pressure is lower than air

    pressure.

    In the field air pressure is zero

    atmospheric or zero kPa (gauge

    pressure) and pore water pressure

    is negative.

    Cavitation occurs at -101.3 kPa or

    -1 Atmosphere (gauge pressure).

    Soil

    particle

    Suction Force

    ua uw

    Surfacetension

    force

    H d tl t d ?

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    56/66

    How sand castle stands ?

    Mohr Coulomb failure envelope

    http://www.shorebreeze.com/photos/photoalbum/jalbum/margate/slides/Margate%20Welcome%20Boat.html
  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    57/66

    Mohr Coulomb failure envelope

    Mohr-Coulomb failure criteria is concerned with

    stress conditions on potential rupture planes

    within the soil.

    The shear stress at failure is defined by straight line

    which is known as the Mohr-Coulomb failure

    envelope, = c + tan .

    If Mohrs circle of effective stress touches the line

    envelope then failure of the soil will occur.

    For sliding to occur on any plane, the shear stresshas to overcome:-

    1. The frictional resistance tan which is

    dependent on the effective normal stress,

    acting on the plane and on the friction angle, .

    2. The cohesion, c which is independent of thenormal stress.

    t

    sO

    13

    Mohr-Coulomb

    failure envelope

    3

    1

    BASIC CONCEPT OF SLOPE STABILITY ANALYSIS

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    58/66

    = tan

    1. Determine effective stress at slice base

    2. Determine internal friction angle,

    3. Calculate shear stress

    4. Calculate the shear force

    5. Calculate disturbing moment = Multiply the force with the lever arm

    Pulling force, P

    W

    N effective stress

    F = N

    In soil . = tan

    N =

    Law of

    mechanicsW

    W

    EFFECTIVE STRESS CONCEPT IN

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    59/66

    EFFECTIVE STRESS CONCEPT IN

    SLOPE STABILITY

    u'

    Stress sustained by the soil skeleton is known aseffective stress.

    The hydrostatic stress from the water in the voids is

    known as pore water pressure.

    In unsaturated soils the pore water pressure isnegative w.r.t. the atmospheric pressure and this is

    contributing to a higher effective stress and thus a

    higher shear strength.

    RESEARCH HISTORY ON THE BEHAVIOUR OF UNSATURATED SOILS

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    60/66

    waa uuu 'Bishop 1959

    Expression for effective stress in an

    attempt to link the deformation

    behaviour of unsaturated soil with a

    single-valued effective stress equation.Lecture in Oslo, Norway, in 1955

    A parameter related to degreeof saturation

    = 1 for saturated condition

    = 0 for dry condition

    'tan'' cTerzaghi 1936

    Jenning and Burland (1962)

    No unique relationship between, e and

    .

    question the validity of Bishop equation.

    Suction , , Vol

    Usually

    , Vol

    'tan'tan' waa uuuc Bishop, Alpan, Blight and Donald (1960)

    No unique relationship between and Sr.

    question the validity of Bishops effective equation

    Donald, 1961

    Blight, 1961

    Cohesionless silt

    RESEARCH HISTORY ON THE BEHAVIOUR OF UNSATURATED SOILS

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    61/66

    Po Shan Road Landslide 1972,

    Hong Kong (Killed 67 people)

    A slope failure that triggered the intensity of

    research on the behaviour of unsaturated soil

    Then in 1978 Fredlund, Morgenstern andWidger has introduced the shear

    strength equation for unsaturated soils.

    bwaa

    uuuc tan'tan'

    c

    (ua-uw)

    (-ua)

    b

    Model cannot explain the alternate wetting and drying

    volume change behaviour in unsaturated soils.

    Wheeler et al. (Geotechnique 2003)

    Then Alonso et al. (1990) have introduced criticalstate model for unsaturated soils followed by

    Wheeler and Sivakumar 1993 and 1995.

    wawaa uuMupMq

    MECHANISM OF SLOPE FAILURE

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    62/66

    DUE TO INFILTRATION

    As rain water infiltrates into the unsaturated soil ;

    The bulk unit weight of the soil will be increased.

    As water filled up the void spaces, suction diminishes due to the

    increase in the radius of curvature of the water meniscus between the

    soil particles. The suction will completely vanish when the soil become

    saturated.

    When suction decreases shear strength will consequently decreases.

    The decrease in shear strength will reduce the resisting factor.

    The increase in the bulk unit weight and the presence of the seepage

    force will increase the effective stress i.e. the disturbing factor.

    As a result FOS will decrease and when the value goes lower than

    unity failure will be triggered.

    That is why slope failure in tropical countries

    often occurs after a long period of rainfall.

    SHEAR STRENGTH MODELS

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    63/66

    Cannot produce a good representative shear strength behaviourespecially at low stress levels (e.g. Terzaghi, 1936; Fredlund et al.,

    1978; Vanapalli et al., 1996). Cannot be used to explain the collapse settlement due toalternate wetting and drying (noted by Wheeler, Sharma andBuisson, 2003).

    LIMITATION OF EARLIER SHEAR STRENGTH MODELS

    b

    (-uw)

    Mohr-Coulomb envelope(Terzaghi, 1936)

    'tanwu

    Open type critical state yield surface(Alonso et al., 1990 & Wheeler and

    Sivakumar, 1993 and 1995)

    wawaa uuMupMq

    Closed type criticalstate yield surface(Tang and Graham

    2002)

    bwaa

    uuuc tan'tan'

    Extended Mohr-Coulombenvelope

    (Fredlund et al., 1978)

    c

    (ua-uw)

    (-ua)

    SHEAR STRENGTH MODELS

    DEFINING SHEAR STRENGTH BASE ON

    S SS S C O

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    64/66

    a

    u

    wa uu

    NET STRESS AND SUCTION IN EXTENDED

    MOHR-COULOMB SPACE Equation for thesurface envelope

    ?

    500

    kPacs 30max

    1. kPauu 152.

    'min'

    min tantan

    ff twta uu SOIL

    SHEAR STRENGTH

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    65/66

    0

    100

    200

    300

    400

    500

    0

    20

    40

    60

    80

    0

    100

    200

    300

    400

    500

    Suction (kPa)

    Net

    stress (kPa)

    Shear

    strength

    (kPa)

    0' uwaauwa

    uuuuu

    Zone 2

    Zone4

    rwauwa

    warwa

    rwauwa

    wauwa

    suuuu

    uuuu

    uuuu

    uuuuc 1max

    t

    tw

    atw

    tw

    a

    uN

    uu

    u

    u

    1

    max1

    s

    rwa

    warwa

    rwa

    wa cuu

    uuuu

    uu

    uu

    t

    tw

    atw

    tw

    a

    uN

    uu

    u

    u

    1

    kPauurwa

    152.

    kPautw 2003.

    kPat 2304.5.

    05.06.

    kPauu uwa 500'

    7.

    34'min

    rwauwa

    warwa

    rwauwa

    wauwa

    s

    uuuu

    uuuu

    uuuu

    uuuuc 1max

    max1

    s

    rwa

    warwa

    rwa

    wac

    uu

    uuuu

    uu

    uu

    'min

    '

    min tantan

    ff twta uu

    4 equations &

    7 parameters

    t

    twu

    N

    '

    mintan

    1

    1

    SHEAR STRENGTH

    WARPED-SURFACE EXTENDED MOHR-COULOMB SHEAR

    STRENGTH ENVELOPE OF THE TEST MATERIAL500

  • 7/26/2019 Ecg503 Week 4 Lecture Note Chp2

    66/66

    STRENGTH ENVELOPE OF THE TEST MATERIAL

    0

    100

    200

    300

    400

    500

    020

    4060

    80

    0

    100

    200

    300

    400

    500

    Suction (kPa)

    Net stress (kPa)

    Shearstrength

    (kPa

    )

    kPacs 30max

    kPauu

    rwa 15

    5005.0 auwa uuu

    kPat 230

    kPau tw 200

    34'min f

    1

    2

    3

    4 5

    6

    = 0 05 i e rate of increase of ultimate suction (u u ) w r t net stress

    7

    kPauuuwa 50

    0'

    Zone

    4

    Zone

    3

    Zone

    1

    Zone

    2

    This is a Mohr (1900)

    failure criterion, which

    is a non-linear shearstrength behaviour

    w.r.t. effective stress.

    Mohr-Coulomb failure

    criterion is a linear shear

    strength behaviour w.r.t.

    effective stress proposedby Terzaghi (1936).