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2.7: Nomenclature

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    33349
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    Gs

    Specific gravity

    -

    ρs

    Density of the soil

    kg/m3

    ρw

    Density of water

    kg/m3

    g

    Gravitational constant (9.81 m/s2)

    m/s2

    Mt

    Mass of the soil, total mass

    kg

    Ms

    Mass of the solids

    kg

    Mw

    Mass of the water

    kg

    Ma

    Mass of the air

    kg

    Vt

    Volume of the soil, total volume

    m3

    Vs

    Volume of the solids

    m3

    Vw

    Volume of the water

    m3

    Va

    Volume of the air

    m3

    ρt

    Density of the soil

    kg/m3
    \(\gamma_{ \mathrm{t}}\)

    Unit weight of the soil

    N/m3

    g

    Gravitational constant (9.81 m/s2)

    m/s2

    Dr

    Relative density

    -

    e

    Current void ratio of the soil in-situ

    -

    emax

    Void ratio of the soil at its loosest condition

    -

    emin

    Void ratio of the soil at its densest condition

    -

    n

    Porosity of the soil in-situ

    -

    nmax

    Porosity of the soil at its loosest condition

    -

    nmin

    Porosity of the soil in its densest condition

    -

    Vv

    Volume of the voids/pores

    m3

    Vs

    Volume of the solids/grains/particles

    m3

    n

    Porosity

    -

    e

    Void ratio

    -

    Ct

    Sorting coefficient

    -

    C

    Sorting coefficient

    -

    K

    Hydraulic conductivity

    m2

    k

    Permeability

    m/s

    f(n)

    porosity function

    -

    C

    sorting coefficient

     

    de

    effective grain diameter

    mm

    d10

    Grain diameter where 10% is smaller

    mm

    d60

    Grain diameter where 60% is smaller

    mm

    U

    Grain uniformity coefficient

    -

    \(\ v\)

    kinematic viscosity

     

    μ

    Dynamic viscosity

    Pa.s

    ρw

    Water density

    kg/m3

    \(\ \gamma_{ \mathrm{w}}\)

    Unit weight of water

    N/m3

    Q

    units of volume per time

    m3/s

    K

    intrinsic permeability

    m2

    k

    permeability

    m/s

    A

    cross sectional area

    m2

    L

    Length

    m

    ua 

    Start excess pore pressure

    Pa

    ub 

    End excess pore pressure

    Pa

    μ

    dynamic viscosity of the fluid

    Pa.s

    c

    Cohesion

    kPa

    UCS

    Unconfined Compressive Strength

    kPa

    V

    The total volume of soil

    m3

    ni

    Initial porosity

    -

    ncv

    Porosity at constant volume

    -

    ε

    Dilatation

    -

    σc

    Unconfined Compressive Strength

    kPa

    F

    Maximum Failure Load

    kN

    A

    Cross-sectional area of the core sample

    m2

    E

    Deformation modulus

    N/m2

    W

    Specific work of failure

    J/m3

    σT

    Brazilian Tensile Strength (BTS)

    kPa

    D

    Diameter of the core sample

    m

    F

    Maximum Failure Load

    kN

    L

    Length of the core sample

    m

    IS

    Point load index

    kPa

    F

    Failure load

    kN

    De

    Distance between platen tips

    m

    De2

    = D2 for diametrical test

    m2

    De2

    = 4A/π = for axial, block and lump test 

    m2

    A

    = W.D = minimum cross-sectional area of a plane through the platen contact points

    m2
    ρw Density of water kg/m3
    zw Depth below the water table

    m

    u Hydrostatic pressure

    kPa

    g Gravitational constant

    m/s2

    σ1 the major principal stress

    kPa

    σ3 the minor principal stress kPa
    \(\ \tau\) the shear strength \(\ \tau\) = Su (or somtimes cu) kPa
    Su the undrained strength kPa
    σ' (σ - u) the effective stress kPa

    σ

    Total stress applied normal to the shear plane

    kPa

    u

    Pore water pressure acting on the same plane

    kPa

    φ

    Effective stress friction angle or the angle of internal friction after Coulomb friction

    deg

    c'

    Cohesion

    kPa
    \(\ \tau\)

    The shear strength \(\ \tau\) = Su (or sometimes cu)

    kPa

    2.7: Nomenclature is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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