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Fos Seismic

Computes the factor of safety for embankment or natural slopes subjected to earthquake inertia forces using the pseudo-static infinite slope method per USACE EM 1110-2-1902 and ICOLD Bulletin 148. Applies horizontal and vertical seismic coefficients to the sliding mass, accounts for pore water pressure via the pore pressure ratio ru, and derives the yield acceleration ky at which FoS reaches unity.

inputs

8 fields

context

6 archetypes

engine

with-tool

outputs

3 scored fields

contract fields

Parameter Map

8 inputs to 3 scored outputs

  • slope_angle_deg

    float

    Slope angle beta measured from horizontal

    5 to 45degrees
  • slip_depth_m

    float

    Depth to the slip surface measured vertically from the slope face

    1 to 20m
  • cohesion_kpa

    floatfrom archetypehidden in hard

    Effective cohesion c' of the embankment material

    0 to 80kPa
  • friction_angle_deg

    floatfrom archetypehidden in hard

    Effective friction angle phi' of the embankment material

    0 to 45degrees
  • unit_weight_kn_m3

    floatfrom archetypehidden in hard

    Bulk unit weight of the embankment material gamma

    16 to 22kN/m³
  • pore_pressure_ratio

    float

    Pore pressure ratio ru = u / (gamma * z * cos²β)

    0 to 0.5
  • kh

    float

    Horizontal seismic coefficient (fraction of g)

    0.05 to 0.4
  • kv

    floatoptional

    Vertical seismic coefficient (fraction of g, acts upward for conservative case)

    0 to 0.2
fostol 0.03

Factor of safety under pseudo-static seismic loading (dimensionless)

yield_acceleration_kytol 0.03

Yield (critical) horizontal acceleration at which FoS = 1.0 (fraction of g)

yield_ratiotol 0.03

Yield acceleration ratio ky / kh (dimensionless)

visibility contract

Difficulty Ladder

all_giveneasy

Dry cohesionless slope with no vertical seismic coefficient — simplest case

all fields visible
all_givenmedium

Embankment with pore pressure and cohesion, all parameters given

all fields visible
partialhard

Material properties hidden; agent infers from embankment description and site context

cohesion_kpafriction_angle_degunit_weight_kn_m3

scenario bands

Archetype Atlas

homogeneous_earth_dam

3 contexts

Homogeneous earth dam with compacted clay core

cohesion_kpa15 to 40
friction_angle_deg18 to 28
unit_weight_kn_m318 to 20
slope_angle_deg15 to 25

snowy-mountains-dam / wivenhoe-spillway / warragamba-embankment

zoned_rockfill_dam

3 contexts

Zoned rockfill dam with gravel shell

cohesion_kpa0 to 10
friction_angle_deg35 to 45
unit_weight_kn_m319 to 22
slope_angle_deg20 to 35

thomson-dam-gippsland / hinze-dam-gold-coast / cotter-dam-act

tailings_dam

3 contexts

Tailings storage facility embankment with mine waste fill

cohesion_kpa5 to 20
friction_angle_deg20 to 30
unit_weight_kn_m317 to 20
slope_angle_deg10 to 20

bowen-basin-tsf / kalgoorlie-tailings / hunter-valley-tsf

road_embankment_seismic

3 contexts

Road embankment in a moderate seismic zone

cohesion_kpa5 to 25
friction_angle_deg25 to 35
unit_weight_kn_m318 to 21
slope_angle_deg18 to 30

newcastle-road-embankment / adelaide-hills-embankment / launceston-highway

natural_slope_seismic

3 contexts

Natural hillside slope in a seismically active region

cohesion_kpa0 to 15
friction_angle_deg28 to 40
unit_weight_kn_m317 to 20
slope_angle_deg20 to 40

blue-mountains-escarpment / cairns-range-hillside / otway-ranges-slope

levee_seismic

3 contexts

River levee under earthquake loading

cohesion_kpa10 to 30
friction_angle_deg20 to 30
unit_weight_kn_m317 to 19
slope_angle_deg10 to 20

murray-river-levee / fitzroy-river-levee / hawkesbury-river-levee

rendered task

Generation Preview

snowy-mountains-dam-homogeneous-earth-dam-preview

difficulty
hard
visibility
partial
archetype
homogeneous_earth_dam
site context
snowy-mountains-dam
instruction excerptfos-seismic_calc.py

visible fields

  • slope_angle_deg15 to 25 degrees
  • slip_depth_m1 to 20 m
  • pore_pressure_ratio0.1 to 0.3
  • kh0.05 to 0.15
  • kv0 to 0.05

withheld schema

friction_angle_degcohesion_kpaunit_weight_kn_m3fosyield_acceleration_kyyield_ratio
Homogeneous earth dam with compacted clay core. snowy-mountains-dam. Required outputs: fos, yield_acceleration_ky, yield_ratio