For a cohesive soil, with cohesion c, co-efficient of active earth pressure ka, and unit weight of of soil γ, the critical depth of vertical cut can be expressed as:

1
\(\frac{{{2{\rm{c}}}}}{{{\rm{\gamma }}\sqrt {{\rm{ka}}} }}\)
2
\(\frac{{{3{\rm{c}}}}}{{{\rm{\gamma }}\sqrt {{\rm{ka}}} }}\)
3
\(\frac{{{4{\rm{c}}}}}{{{\rm{\gamma }}\sqrt {{\rm{ka}}} }}\)
4
\(\frac{{\rm{c}}}{{{\rm{\gamma }}\sqrt {{\rm{ka}}} }}\)

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