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built templateslope-stabilitywith-tool

Retaining Wall Stability

Evaluates the external stability of a rectangular gravity retaining wall against three failure modes: sliding along the base, overturning about the toe, and bearing capacity failure of the foundation soil. Active earth pressure is computed using Rankine theory for horizontal backfill, and bearing capacity uses Terzaghi strip footing factors. Outputs include factors of safety, eccentricity, and maximum base pressure per AS 4678 and Eurocode 7.

inputs

11 fields

context

5 archetypes

engine

with-tool

outputs

6 scored fields

contract fields

Parameter Map

11 inputs to 6 scored outputs

  • wall_height_m

    float

    Total height of the gravity retaining wall H

    2 to 6m

  • base_width_m

    float

    Width of the wall base B (typically 0.5H to 0.7H)

    2 to 4.5m

  • wall_thickness_m

    float

    Thickness of the wall stem at the top t

    0.4 to 1.5m

  • concrete_unit_weight_kn_m3

    floatfrom archetype

    Unit weight of the wall material (concrete or masonry) gamma_c

    22 to 25kN/m3

  • backfill_friction_angle_deg

    floatfrom archetypehidden in hard

    Effective friction angle of the backfill soil phi'

    20 to 40degrees

  • backfill_unit_weight_kn_m3

    floatfrom archetypehidden in hard

    Total unit weight of the backfill soil gamma_s

    16 to 21kN/m3

  • backfill_cohesion_kpa

    floatoptionalfrom archetype

    Effective cohesion of the backfill soil c'

    0 to 20kPa

  • surcharge_kpa

    floatoptional

    Uniform surcharge pressure on the backfill surface q

    0 to 25kPa

  • foundation_friction_angle_deg

    floatfrom archetypehidden in hard

    Effective friction angle of the foundation soil phi_f

    20 to 42degrees

  • foundation_cohesion_kpa

    floatoptionalfrom archetypehidden in hard

    Effective cohesion of the foundation soil c_f

    0 to 50kPa

  • base_friction_ratio

    floatoptional

    Ratio of base interface friction to foundation soil friction (typically 2/3)

    0.5 to 1
katol 0.03

Rankine active earth pressure coefficient Ka (dimensionless)

fos_slidingtol 0.05

Factor of safety against sliding along the base (dimensionless)

fos_overturningtol 0.05

Factor of safety against overturning about the toe (dimensionless)

fos_bearingtol 0.05

Factor of safety against bearing capacity failure (dimensionless)

eccentricity_mtol 0.05

Eccentricity of the resultant force from the base centre e (m)

max_base_pressure_kpatol 0.05

Maximum base contact pressure under the footing q_max (kPa)

visibility contract

Difficulty Ladder

all_giveneasy

Cohesionless backfill, no surcharge, all parameters given — simplest three-check variant

all fields visible
all_givenmedium

Surcharge and cohesion may be present, all parameters given — full formula set

all fields visible
partialhard

Soil properties hidden, agent must infer from site context and soil description

backfill_friction_angle_degbackfill_unit_weight_kn_m3foundation_friction_angle_degfoundation_cohesion_kpa

scenario bands

Archetype Atlas

granular_backfill_sandy_foundation

2 contexts

Clean granular backfill behind a mass concrete wall on medium dense sand

concrete_unit_weight_kn_m323 to 24
backfill_friction_angle_deg30 to 35
backfill_unit_weight_kn_m317 to 19
backfill_cohesion_kpa0

sydney-harbour-seawall / gold-coast-canal-retaining

gravel_backfill_stiff_clay_foundation

2 contexts

Compacted gravel backfill behind a gravity wall on stiff clay foundation

concrete_unit_weight_kn_m323 to 24
backfill_friction_angle_deg34 to 40
backfill_unit_weight_kn_m319 to 21
backfill_cohesion_kpa0

melbourne-basalt-clay-site / canberra-substation-terrace

silty_sand_backfill_weathered_rock

2 contexts

Silty sand backfill behind a concrete gravity wall on weathered rock

concrete_unit_weight_kn_m323 to 25
backfill_friction_angle_deg26 to 32
backfill_unit_weight_kn_m317 to 19
backfill_cohesion_kpa2 to 8

brisbane-hillside-retaining / cairns-port-access-wall

cohesive_backfill_sandy_foundation

2 contexts

Cohesive fill behind a masonry gravity wall on sandy foundation

concrete_unit_weight_kn_m322 to 23
backfill_friction_angle_deg20 to 28
backfill_unit_weight_kn_m317 to 20
backfill_cohesion_kpa5 to 15

adelaide-hills-road-wall / perth-coastal-terrace

dense_sand_backfill_firm_clay

2 contexts

Dense sand backfill behind a concrete wall on firm clay

concrete_unit_weight_kn_m323 to 24
backfill_friction_angle_deg32 to 38
backfill_unit_weight_kn_m318 to 20
backfill_cohesion_kpa0

darwin-stormwater-channel-wall / townsville-wharf-retaining

rendered task

Generation Preview

melbourne-basalt-clay-site-gravel-backfill-stiff-clay-foundation-preview

difficulty
hard
visibility
partial
archetype
gravel_backfill_stiff_clay_foundation
site context
melbourne-basalt-clay-site
instruction excerptretaining-wall-stability_calc.py

visible fields

  • wall_height_m2 to 6 m
  • base_width_m2 to 4.5 m
  • wall_thickness_m0.4 to 1.5 m
  • concrete_unit_weight_kn_m323 to 24 kN/m3
  • backfill_cohesion_kpa0 to 0 kPa
  • surcharge_kpa0 kPa
  • base_friction_ratio0.67

withheld schema

backfill_friction_angle_degbackfill_unit_weight_kn_m3foundation_friction_angle_degfoundation_cohesion_kpakafos_slidingfos_overturningfos_bearingeccentricity_mmax_base_pressure_kpa
Compacted gravel backfill behind a gravity wall on stiff clay foundation. melbourne-basalt-clay-site. Required outputs: ka, fos_sliding, fos_overturning, fos_bearing, eccentricity_m, max_base_pressure_kpa