Retaining & slopes · Slope stability

Infinite slope (static & pseudo-static) calculator

Factor of safety for a long translational slide with seepage, seismic coefficient and the yield acceleration ky.

Standard: Infinite slope · Mohr–Coulomb · yield acceleration

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Inputs in the worked example

The live calculator starts with these values; change any of them and every result, check and diagram updates instantly.

InputValueUnit
Slope angle β26°
Depth of slip plane z2.5m
Soil γ19kN/m³
c′4kPa
φ′32°
Water ratio m (water height / z)0.5
Seismic coefficient kh0.1

Worked example — results

ResultValueUnit
FS static1.164
FS pseudo-static0.914
Yield coefficient ky (FS = 1)0.061g
slip plane at z 2.5 mβ 26°water m = 0.5FS static 1.16FS (kh 0.1) 0.91ky = 0.061
Diagram for the worked example

Method, formulas and assumptions

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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.