Mohr-Coulomb
The most common way to model soil shear strength is with the Mohr-Coulomb equation:

where:
s = shear strength
c’ = effective cohesion

= total normal stress
u = pore pressure

= effective angle of internal friction (phi)
The Mohr-Coulomb equation can be used for either total or effective stress conditions. For a total stress analysis, cohesion and friction angle are defined for total stress conditions. Pore water pressure is not considered, and the Mohr-Coulomb equation is simply:
