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Infinite Slope

Computes the factor of safety against shallow planar failure on long uniform slopes using the infinite slope equation with Mohr-Coulomb shear strength. Accounts for pore water pressure from a water table parallel to the slope surface, balancing the driving shear stress (gamma*z*sin(beta)*cos(beta)) against the resisting cohesion and frictional strength along the failure plane.

inputs

6 fields

context

8 archetypes

engine

with-tool

outputs

4 scored fields

contract fields

Parameter Map

6 inputs to 4 scored outputs

  • slope_angle_deg

    float

    Slope angle beta

    5 to 45degrees

  • friction_angle_deg

    floatfrom archetypehidden in hard

    Effective friction angle phi'

    0 to 45degrees

  • cohesion_kpa

    floatfrom archetypehidden in hard

    Effective cohesion c'

    0 to 150kPa

  • unit_weight_kn_m3

    floatfrom archetypehidden in hard

    Soil unit weight gamma

    14 to 23kN/m³

  • failure_depth_m

    float

    Depth to failure surface z

    0.5 to 10m

  • water_table_depth_m

    floatoptional

    Depth to water table from ground surface

    0 to 100m
pore_pressure_kpatol 0.03

Pore water pressure at failure surface u (kPa)

driving_stress_kpatol 0.03

Driving shear stress (kPa)

resisting_stress_kpatol 0.03

Resisting shear stress (kPa)

factor_of_safetytol 0.03

Factor of safety FoS

visibility contract

Difficulty Ladder

all_giveneasy

Dry cohesionless slope — simplest formula

all fields visible
all_givenmedium

Dry slope with cohesion — adds c' term

all fields visible
partialhard

Water table present, soil parameters hidden

cohesion_kpafriction_angle_degunit_weight_kn_m3

scenario bands

Archetype Atlas

soft_nc_clay

2 contexts

Soft normally consolidated clay

cohesion_kpa5 to 15
friction_angle_deg0 to 5
unit_weight_kn_m315 to 17

brisbane-alluvial / darwin-estuarine

firm_clay

2 contexts

Firm clay

cohesion_kpa20 to 50
friction_angle_deg2 to 8
unit_weight_kn_m317 to 19

brisbane-alluvial / melbourne-basalt

stiff_oc_clay

3 contexts

Stiff overconsolidated clay

cohesion_kpa50 to 150
friction_angle_deg5 to 15
unit_weight_kn_m318 to 21

sydney-hawkesbury / adelaide-stiff / melbourne-basalt

loose_sand

1 contexts

Loose sand

cohesion_kpa0
friction_angle_deg28 to 32
unit_weight_kn_m315 to 17

hunter-valley-alluvial

medium_dense_sand

2 contexts

Medium dense sand

cohesion_kpa0
friction_angle_deg32 to 36
unit_weight_kn_m317 to 19

perth-coastal / hunter-valley-alluvial

dense_sand

2 contexts

Dense sand

cohesion_kpa0
friction_angle_deg36 to 42
unit_weight_kn_m319 to 21

perth-coastal / cairns-coral

silty_sand

1 contexts

Silty sand

cohesion_kpa0 to 5
friction_angle_deg28 to 34
unit_weight_kn_m317 to 19

hunter-valley-alluvial

residual_weathered_rock

1 contexts

Residual/weathered rock

cohesion_kpa10 to 30
friction_angle_deg30 to 40
unit_weight_kn_m319 to 22

sydney-hawkesbury

rendered task

Generation Preview

brisbane-alluvial-soft-nc-clay-preview

difficulty
hard
visibility
partial
archetype
soft_nc_clay
site context
brisbane-alluvial
instruction excerptinfinite-slope_calc.py

visible fields

  • slope_angle_deg5 to 45 degrees
  • failure_depth_m0.5 to 10 m
  • water_table_depth_m0 to 100 m

withheld schema

friction_angle_degcohesion_kpaunit_weight_kn_m3pore_pressure_kpadriving_stress_kparesisting_stress_kpafactor_of_safety
Soft normally consolidated clay. brisbane-alluvial. Required outputs: pore_pressure_kpa, driving_stress_kpa, resisting_stress_kpa, factor_of_safety