+1 vote
in Geotechnical Engineering II by (93.8k points)
Combing the three equations, \(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=c cosφ\), \(\frac{∂σ_x}{∂x}+\frac{∂τ_{xz}}{∂z}=0\), and \(\frac{∂τ_{xz}}{∂x}+\frac{∂σ_x}{∂z}+γ=0\), lead to the equation called ___________

(a) Kolter’s equation

(b) Terzaghi’s equation

(c) Darcy’s equation

(d) Skempton’s equation

I got this question in an interview.

Origin of the question is Earth Pressure Introduction topic in section Failure Envelopes & Earth Pressure of Geotechnical Engineering II

1 Answer

0 votes
by (243k points)
Right choice is (a) Kolter’s equation

Explanation: The material just in the verge of flowing plastically is still in static equilibrium and will satisfy the equations of, \(\frac{∂σ_x}{∂x}+\frac{∂τ_{xz}}{∂z}=0, \,and\, \frac{∂τ_{xz}}{∂x}+\frac{∂σ_x}{∂z}+γ=0.\)  These equations with the Mohr Coulomb equation give the Kolter’s equation.

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