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Mohr–Coulomb Failure Criterion

The Mohr–Coulomb failure criterion represents the linear envelope that is obtained from a plot of the shear strength of a material versus the applied normal stress.

The shear stress for the Mohr-Coulomb failure criterion equals the cohesion plus the product of the normal stress and the sine of the angle of internal friction.

Formula

QuantityVariable["τ", "Stress"] == QuantityVariable["c", "Stress"] + QuantityVariable["σ", "Stress"]*Sin[QuantityVariable["θ", "Angle"]]

symbol description physical quantity
τ shear stress "Stress"
c cohesion "Stress"
σ normal stress "Stress"
θ angle of internal friction "Angle"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Mohr\[Dash]Coulomb Failure Criterion"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Mohr\[Dash]Coulomb Failure Criterion"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Mohr\[Dash]Coulomb Failure Criterion"], {QuantityVariable[ "\[Theta]","Angle"] -> Quantity[-20, "AngularDegrees"], QuantityVariable["\[Sigma]","Stress"] -> Quantity[100, "Kilopascals"], QuantityVariable["c","Stress"] -> Quantity[75, "Kilopascals"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1773

Publisher Information