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Meyerhof Bearing Capacity

Computes ultimate and allowable bearing capacity of shallow foundations using Meyerhof's (1963) general bearing capacity equation: qu = c*Nc*sc*dc*ic + q*Nq*sq*dq*iq + 0.5*gamma*B*Ngamma*sgamma*dgamma*igamma. Applies shape, depth, and inclination correction factors for strip, rectangular, square, and circular footings under vertical or inclined loading conditions.

inputs

9 fields

context

4 archetypes

engine

with-tool

outputs

14 scored fields

contract fields

Parameter Map

9 inputs to 14 scored outputs

  • cohesion_kpa

    floatfrom archetypehidden in hard

    Effective cohesion c'

    0 to 150kPa

  • friction_angle_deg

    floatfrom archetypehidden in hard

    Effective friction angle phi'

    0 to 50degrees

  • unit_weight_kn_m3

    floatfrom archetypehidden in hard

    Soil unit weight gamma

    14 to 23kN/m³

  • footing_width_m

    float

    Footing width B (shorter dimension)

    0.5 to 10m

  • footing_length_m

    float

    Footing length L (longer dimension, L >= B)

    0.5 to 30m

  • embedment_depth_m

    float

    Foundation embedment depth Df

    0.3 to 5m

  • footing_shape

    enum

    Footing shape

    striprectangularsquarecircular

  • load_inclination_deg

    floatoptional

    Load inclination angle from vertical

    0 to 20degrees

  • factor_of_safety

    float

    Factor of safety for allowable capacity

    2 to 4
nctol 0.03

Bearing capacity factor Nc

nqtol 0.03

Bearing capacity factor Nq

ngammatol 0.03

Bearing capacity factor Ngamma

sctol 0.03

Shape factor sc

sqtol 0.03

Shape factor sq

sgammatol 0.03

Shape factor sgamma

dctol 0.03

Depth factor dc

dqtol 0.03

Depth factor dq

dgammatol 0.03

Depth factor dgamma

ictol 0.03

Inclination factor ic

iqtol 0.03

Inclination factor iq

igammatol 0.05

Inclination factor igamma

ultimate_bearing_capacity_kpatol 0.03

Ultimate bearing capacity qu (kPa)

allowable_bearing_capacity_kpatol 0.03

Allowable bearing capacity qa (kPa)

visibility contract

Difficulty Ladder

all_giveneasy

Vertical load, square footing, all parameters given

all fields visible
all_givenmedium

Vertical or inclined load, any shape, all parameters given

all fields visible
partialhard

Some soil parameters hidden, inclined loading

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

medium_dense_sand

2 contexts

Medium dense sand

cohesion_kpa0
friction_angle_deg28 to 36
unit_weight_kn_m317 to 19

perth-coastal / hunter-valley-alluvial

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

dense_sand_gravel

2 contexts

Dense sand and gravel

cohesion_kpa0
friction_angle_deg36 to 45
unit_weight_kn_m319 to 22

cairns-coral / newcastle-fill

rendered task

Generation Preview

brisbane-alluvial-soft-nc-clay-preview

difficulty
hard
visibility
partial
archetype
soft_nc_clay
site context
brisbane-alluvial
instruction excerptmeyerhof-bearing-capacity_calc.py

visible fields

  • footing_width_m0.5 to 10 m
  • footing_length_m0.5 to 30 m
  • embedment_depth_m0.3 to 5 m
  • footing_shaperectangular
  • load_inclination_deg0 degrees
  • factor_of_safety3

withheld schema

friction_angle_degcohesion_kpaunit_weight_kn_m3ncnqngammascsqsgammadcdqdgammaiciqigammaultimate_bearing_capacity_kpaallowable_bearing_capacity_kpa
Soft normally consolidated clay. brisbane-alluvial. Required outputs: nc, nq, ngamma, sc, sq, sgamma