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built templatehorizontal-geometrywith-tool

Min Curve Radius

Calculates the absolute minimum and desirable minimum horizontal curve radius for road design using R_min = V^2 / (127 * (e_max + f)) per Austroads Guide to Road Design Part 3 Section 7. The desirable radius uses a reduced friction factor (0.7f) for an additional safety margin. Used in road geometric design to ensure vehicle stability and driver comfort on horizontal curves.

inputs

3 fields

context

4 archetypes

engine

with-tool

outputs

2 scored fields

contract fields

Parameter Map

3 inputs to 2 scored outputs

  • design_speed_km_h

    float

    Design speed V

    40 to 130km/h

  • max_superelevation_pct

    float

    Maximum superelevation rate e_max

    3 to 8%

  • side_friction_factor

    floatfrom archetypehidden in hard

    Side friction factor f (speed-dependent, from AGRD Table 7.5)

    0.09 to 0.35-
min_radius_mtol 0.03

Absolute minimum horizontal curve radius R_min (m)

desirable_min_radius_mtol 0.03

Desirable minimum horizontal curve radius R_desirable (m)

visibility contract

Difficulty Ladder

all_giveneasy

All parameters given, low-speed urban or suburban road

all fields visible
all_givenmedium

All parameters given, any road type and speed environment

all fields visible
partialhard

Side friction factor hidden — agent must infer f from design speed using AGRD Table 7.5

side_friction_factor

scenario bands

Archetype Atlas

urban_local

3 contexts

Low-speed urban local road with frequent intersections and pedestrian activity

design_speed_km_h40 to 60
max_superelevation_pct3 to 4
side_friction_factor0.3 to 0.35

sydney-local-street / melbourne-inner-suburb / brisbane-residential-road

suburban_arterial

3 contexts

Suburban arterial road with moderate traffic and signalised intersections

design_speed_km_h60 to 80
max_superelevation_pct5 to 6
side_friction_factor0.22 to 0.3

sydney-parramatta-road / melbourne-springvale-road / brisbane-waterworks-road

rural_highway

3 contexts

Rural two-lane highway through open terrain with higher operating speeds

design_speed_km_h80 to 110
max_superelevation_pct6 to 7
side_friction_factor0.13 to 0.22

bruce-highway-qld / princes-highway-vic / great-western-highway-nsw

motorway

3 contexts

High-speed divided motorway with grade-separated interchanges

design_speed_km_h100 to 130
max_superelevation_pct5 to 6
side_friction_factor0.09 to 0.16

m1-pacific-motorway / m2-hills-motorway / western-ring-road-melbourne

rendered task

Generation Preview

sydney-parramatta-road-suburban-arterial-preview

difficulty
hard
visibility
partial
archetype
suburban_arterial
site context
sydney-parramatta-road
instruction excerptmin-curve-radius_calc.py

visible fields

  • design_speed_km_h60 to 80 km/h
  • max_superelevation_pct5 to 6 %

withheld schema

side_friction_factormin_radius_mdesirable_min_radius_m
Suburban arterial road with moderate traffic and signalised intersections. sydney-parramatta-road. Required outputs: min_radius_m, desirable_min_radius_m