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Lateral Earth Pressure

Calculates active and passive earth pressure coefficients, base pressures, and total lateral forces on retaining walls using either Rankine or Coulomb theory. Supports inclined backfill, wall friction, cohesive soils, and uniform surcharge loading, computing the pressure distribution, total force per unit wall length, and the point of application for structural design of retaining structures.

inputs

8 fields

context

5 archetypes

engine

both

outputs

7 scored fields

contract fields

Parameter Map

8 inputs to 7 scored outputs

  • friction_angle_deg

    floatfrom archetypehidden in hard

    Effective friction angle φ'

    0 to 45degrees

  • cohesion_kpa

    floatfrom archetypehidden in hard

    Effective cohesion c'

    0 to 100kPa

  • unit_weight_kn_m3

    floatfrom archetypehidden in hard

    Soil unit weight γ

    14 to 22kN/m³

  • wall_height_m

    float

    Retaining wall height H

    1.5 to 12m

  • backfill_slope_deg

    floatoptional

    Backfill slope angle β above horizontal

    0 to 30degrees

  • wall_friction_angle_deg

    floatoptional

    Wall friction angle δ (Coulomb theory)

    0 to 30degrees

  • surcharge_kpa

    floatoptional

    Uniform surcharge on backfill surface q

    0 to 50kPa

  • theory

    enum

    Earth pressure theory to apply

    rankinecoulomb
katol 0.03

Active earth pressure coefficient Ka

kptol 0.03

Passive earth pressure coefficient Kp

active_pressure_at_base_kpatol 0.03

Active pressure at base of wall σ_a (kPa)

passive_pressure_at_base_kpatol 0.03

Passive pressure at base of wall σ_p (kPa)

total_active_force_kn_mtol 0.03

Total active force per unit wall length Pa (kN/m)

total_passive_force_kn_mtol 0.03

Total passive force per unit wall length Pp (kN/m)

active_force_application_point_mtol 0.05

Active force point of application above base (m)

visibility contract

Difficulty Ladder

all_giveneasy

Rankine theory, horizontal backfill, cohesionless soil, no surcharge

all fields visible
all_givenmedium

Rankine with inclined backfill or cohesive soil, surcharge may be present

all fields visible
partialhard

Coulomb theory with wall friction, some soil parameters hidden

cohesion_kpafriction_angle_degunit_weight_kn_m3

scenario bands

Archetype Atlas

loose_sand

2 contexts

Loose sand backfill

friction_angle_deg28 to 32
cohesion_kpa0
unit_weight_kn_m315 to 17

perth-coastal / hunter-valley-alluvial

medium_dense_sand

2 contexts

Medium dense sand backfill

friction_angle_deg32 to 36
cohesion_kpa0
unit_weight_kn_m317 to 19

sydney-harbour / brisbane-river

dense_sand_gravel

2 contexts

Dense sand and gravel backfill

friction_angle_deg36 to 42
cohesion_kpa0
unit_weight_kn_m319 to 21

cairns-coral / adelaide-quarry

stiff_clay

2 contexts

Stiff clay backfill

friction_angle_deg18 to 25
cohesion_kpa20 to 60
unit_weight_kn_m318 to 21

melbourne-basalt / sydney-hawkesbury

soft_clay

2 contexts

Soft normally consolidated clay

friction_angle_deg10 to 18
cohesion_kpa5 to 20
unit_weight_kn_m315 to 17

darwin-estuarine / brisbane-alluvial

rendered task

Generation Preview

sydney-harbour-medium-dense-sand-preview

difficulty
hard
visibility
partial
archetype
medium_dense_sand
site context
sydney-harbour
instruction excerptlateral-earth-pressure_calc.py

visible fields

  • wall_height_m1.5 to 12 m
  • backfill_slope_deg0 degrees
  • wall_friction_angle_deg0 degrees
  • surcharge_kpa0 kPa
  • theorycoulomb

withheld schema

friction_angle_degcohesion_kpaunit_weight_kn_m3kakpactive_pressure_at_base_kpapassive_pressure_at_base_kpatotal_active_force_kn_mtotal_passive_force_kn_mactive_force_application_point_m
Medium dense sand backfill. sydney-harbour. Required outputs: ka, kp, active_pressure_at_base_kpa, passive_pressure_at_base_kpa, total_active_force_kn_m, total_passive_force_kn_m