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    Lectures on Rock Mechanics

    SARVESH CHANDRA

    ProfessorDepartment of Civil Engineering

    Indian Institute of Technology KanpurKANPUR, 208016 India

    email: [email protected]

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    INTRODUCTION

    What is RockMechanics?

    Rock mechanics is a

    discipline that uses the

    principles ofmechanics to

    describe the behaviour of

    rockof engineering scale.

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    Rock Mechanics Problems

    How will rock react when put to mens use?

    What is the bearing capacity of rock on surface an atdepths?

    What is the shear strength of rocks?

    What is the response of rocks under dynamic /

    earthquake type loading? What is the modulus of elasticity of rock and how to get

    it?

    What are the effects of rock defects (jointing beddingplanes, schistocity, fissures, cavities and otherdiscontinuities) on its strength?

    What are the mechanisms of failure of rocks?

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    Rock as a Construction Material

    For laying structural foundations to support

    structures For constructing Underground openings

    For protecting slopes

    For supporting railway tracks Ballasts

    As base and sub-base for roads and runways

    As aggregate in concrete Making facia for buildings.

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    Geologic

    TimeScale

    Era Period Epoch Time Boundaries

    (Years Ago)

    Holocene - RecentQuaternary 10,000

    Pleistocene2 millionPliocene5 million

    Cenozoic Miocene26 million

    Tertiary Oligocene38 million

    Eocene54 million

    Paleocene 65 millionCretaceous

    130 millionMesozoic Jurassic

    185 millionTriassic

    230 millionPermian

    265 millionPennsylvanianCarboniferous 310 million

    Mississippian355 million

    Paleozoic Devonian413 million

    Silurian425 million

    Ordovician 475 millionCambrian

    570 million

    Precambrian 3.9 billion

    Earth Beginning 4.7 billionGreenland

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    What are we calling a rock?

    Grade Description Lithology Excavation Foundations

    VI Soil Some organic content,no original structure

    May need to

    save and re-use

    Unsuitable

    V Completelyweathered

    Decomposed soil, someremnant structure

    Scrape Assess by soiltesting

    IV Highlyweathered Partly changed to soil,soil > rock Scrape NBcorestones Variable andunreliable

    III Moderatelyweathered

    Partly changes to soil,rock > soil

    Rip Good for mostsmall structures

    II Slightlyweathered

    Increased fractures andmineral staining

    Blast Good foranything exceptlarge dams

    I Fresh rock Clean rock Blast Sound

    Engineering classification of weathered rock

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    Primary Rock Types by Geologic

    Origin

    Grain

    Aspects

    Clastic Carbonate Foliated Massive Intrusive Extrusive

    Coarse Conglomerate

    Breccia

    Limestone

    Conglomerate

    Gneiss Marble Pegmatite

    Granite

    VolcanicBreccia

    Medium Sandstone

    Siltsone

    Limestone

    Chalk

    Schist

    Phyllite

    Quartzite Diorite

    Diabase

    Tuff

    Fine Shale

    Mudstone

    CalcareousMudstone

    Slate Amphibolite Rhyotite Basalt

    Obsidian

    Sedimentary Types Metaphorphic Igneous Types

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    Index Properties of Intact Rock

    Specific Gravity of Solids, Gs

    Unit Weight,

    Porosity, n

    Ultrasonic Velocities (Vp and Vs)

    Compressive Strength, qu

    Tensile Strength, T0

    Elastic Modulus, ER

    (at 50% of qu

    )

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    Specific Gravity of Rock Minerals

    0 1 2 3 4 5 6 7 8

    Specific Gravity of Solids, Gs

    halite

    gypsum

    serpentine

    quartz

    feldspar

    chlorite

    calcite

    dolomite

    olivine

    barite

    pyrite

    galena

    Reference Value

    (fresh water)

    Common Minerals

    Average Gs = 2.70

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    Unit Weights of Rocks

    14

    16

    18

    20

    22

    24

    26

    28

    0.0 0.1 0.2 0.3 0.4 0.5 0.6

    Porosity, n

    SaturatedUnitWeight,

    T(kN/m3)

    Dolostone GraniteGraywacke LimestoneMudstone SiltstoneSandstone Tuff

    sat =water [ Gs(1-n) + n]

    Gs =

    2.80

    2.652.50

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    eo ogc appng o oc ass

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    eo ogc appng o oc assFeatures

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    Q tit ti Cl ifi ti f R k

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    Quantitative Classification of Rock

    Mass Description of J oints:

    Orientation, Persistence, Roughness, WallStrength, Aperture, Filling, Seepage,

    Number of sets, Block size, spacing.ISRM commissions report

    Classification of Rock Material

    Based on Uniaxial Compressive Strength

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    Uniaxial Compressive

    Strength

    Ranges for some

    Common RockMaterial

    Term Kg/cm2

    Very Weak- VW

    Weak- W

    Medium Strong-MS

    Strong- S

    Very Strong- VS

    < 70

    70-200

    200-700

    700-1400

    > 1400

    Schist, Silt stoneVW-W, SandStone, Lime stone

    VW-M,Granite,Basalt, Gneiss,Quartzite, Marble

    MS-VS

    |

    Classification for Rock Material

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    Classification for Rock MaterialStrength

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    Intact Rock Classification Rock Type

    Geologic Formation and Age Indices:

    Specific Gravity, Porosity, Unit Weight,Wave Velocities

    Strength (compressive, tensile, shear)

    Elastic Modulus

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    Site investigation boreholes

    Percussion drilling soils/soft clay rocks

    core recovery

    Rotary coring soil or rock >100m deep

    core recovery

    Rock probing rotary percussion rig

    soil or rock no core recovery

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    Cable (percussion) rig

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    Shell

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    Rotary rig

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    Core bit

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    Core drilling

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    Rock core

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    How to correlate the properties of rock studied inthe laboratory with in-situ properties?

    What in-situ test methods will provide actual in-situ conditions and properties of rock?

    What design parameters are to be used for rockslope design?

    How to stabilize slopes and undergroundopenings?


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