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built templateslope-stabilitywith-tool

Fos Steady State

Computes the factor of safety against shallow translational failure on an embankment dam slope under steady-state seepage using the infinite slope method. The pore pressure ratio (ru) represents the phreatic surface location, and the balance of driving shear stress against Mohr-Coulomb resisting strength along the failure plane determines stability. Applicable to preliminary dam safety assessments per USACE EM 1110-2-1902 and ANCOLD guidelines.

inputs

6 fields

context

6 archetypes

engine

with-tool

outputs

3 scored fields

contract fields

Parameter Map

6 inputs to 3 scored outputs

  • slope_angle_deg

    float

    Embankment slope angle beta measured from horizontal

    5 to 45degrees

  • failure_depth_m

    float

    Depth from slope surface to the failure plane z

    0.5 to 10m

  • cohesion_kpa

    floatfrom archetypehidden in hard

    Effective cohesion of embankment fill c'

    0 to 50kPa

  • friction_angle_deg

    floatfrom archetypehidden in hard

    Effective friction angle of embankment fill phi'

    10 to 45degrees

  • saturated_unit_weight_kn_m3

    floatfrom archetypehidden in hard

    Saturated unit weight of embankment fill gamma_sat

    17 to 23kN/m³

  • pore_pressure_ratio

    float

    Pore pressure ratio ru = u / (gamma_sat * z) representing steady-state phreatic surface

    0 to 0.6
fostol 0.03

Factor of safety against slope failure FoS (dimensionless)

driving_stress_kpatol 0.03

Driving shear stress along the failure plane tau_d (kPa)

resisting_stress_kpatol 0.03

Resisting shear stress along the failure plane tau_r (kPa)

visibility contract

Difficulty Ladder

all_giveneasy

Dry slope (ru=0), granular fill with no cohesion — simplest formula variant

all fields visible
all_givenmedium

Seepage present (ru > 0) with cohesive fill — full formula with all parameters given

all fields visible
partialhard

Seepage present, soil properties hidden — agent must infer from site context and fill description

cohesion_kpafriction_angle_degsaturated_unit_weight_kn_m3

scenario bands

Archetype Atlas

compacted_clay_core

3 contexts

Compacted clay core zone of a zoned earth dam

cohesion_kpa10 to 30
friction_angle_deg18 to 26
saturated_unit_weight_kn_m319 to 21

warragamba-dam-nsw / hume-dam-nsw-vic / dartmouth-dam-vic

compacted_sandy_gravel_shell

3 contexts

Compacted sandy gravel shell zone of a zoned earth dam

cohesion_kpa0 to 5
friction_angle_deg34 to 40
saturated_unit_weight_kn_m320 to 22

eildon-dam-vic / burdekin-falls-dam-qld / cotter-dam-act

homogeneous_earth_fill

3 contexts

Homogeneous earth fill embankment of a small to medium farm dam

cohesion_kpa5 to 20
friction_angle_deg22 to 30
saturated_unit_weight_kn_m318 to 20

darling-downs-farm-dam-qld / goulburn-valley-irrigation-dam-vic / hunter-valley-farm-dam-nsw

laterite_residual

2 contexts

Laterite residual soil fill used in tropical dam embankments

cohesion_kpa8 to 25
friction_angle_deg20 to 28
saturated_unit_weight_kn_m318 to 21

ross-river-dam-qld / tinaroo-falls-dam-qld

weathered_rock_fill

3 contexts

Weathered rock fill placed in the outer shell of a dam embankment

cohesion_kpa0 to 5
friction_angle_deg36 to 44
saturated_unit_weight_kn_m320 to 23

thomson-dam-vic / copeton-dam-nsw / hinze-dam-qld

silty_sand_fill

2 contexts

Silty sand fill used in homogeneous tailings dam embankments

cohesion_kpa2 to 10
friction_angle_deg26 to 33
saturated_unit_weight_kn_m318 to 20

bowen-basin-tailings-dam-qld / hunter-valley-tailings-dam-nsw

rendered task

Generation Preview

warragamba-dam-nsw-compacted-clay-core-preview

difficulty
hard
visibility
partial
archetype
compacted_clay_core
site context
warragamba-dam-nsw
instruction excerptfos-steady-state_calc.py

visible fields

  • slope_angle_deg5 to 45 degrees
  • failure_depth_m0.5 to 10 m
  • pore_pressure_ratio0 to 0.6

withheld schema

friction_angle_degcohesion_kpasaturated_unit_weight_kn_m3fosdriving_stress_kparesisting_stress_kpa
Compacted clay core zone of a zoned earth dam. warragamba-dam-nsw. Required outputs: fos, driving_stress_kpa, resisting_stress_kpa