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Engineering LibreTexts

2.13: Nomenclature

  • Page ID
    33360
  • a, \(\ \tau_\mathrm{a}\)

    Adhesion or external shear strength

    kPa

    c, \(\ \tau_\mathrm{c}\)

    Cohesion or internal shear strength

    kPa

    f

    Function

    -

    F

    Horizontal force

    kN

    Fh

    Horizontal force on soil element

    kN

    Fv

    Verical force on soil element

    kN

    Fn

    Normal force on soil element

    kN

    Fs

    Shear force on soil element

    kN

    g

    Gravitational constant (9.81)

    m/s2

    G

    Gravitational vertical force

    kN

    h

    Height of the dam/soil

    m

    Ka

    Coefficient of active failure

    -

    Kp

    Coefficient of passive failure

    -

    N

    Force normal to the shear plane

    kN

    S

    Shear force on the shear plane

    kN

    α

    Orientation of shear plane (Mohr circle)

    rad

    β

    Angle of the shear plane (active & passive failure)

    rad

    δ

    External friction angle or soil/interface friction angle

    rad

    φ

    Internal friction angle

    rad

    σ

    Normal stress

    kPa

    σh

    Horizontal normal stress (principal stress)

    kPa

    σv

    Vertical normal stress (principal stress)

    kPa

    σin

    Internal normal stress

    kPa

    σex

    External normal stress or soil interface normal stress

    kPa

    \(\ \tau\)

    Shear stress

    kPa

    \(\ \tau_{\text {in }}\)

    Internal shear stress

    kPa

    \(\ \tau_{\text {ex }}\)

    External shear stress or soil interface shear stress

    kPa

    ρg

    Density of the soil

    ton/m3

    μin

    Internal friction coefficient

    -

    μex

    External friction coefficient

    -

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