LIVEdataset aec-bench@releasetasks 552models 18disciplines 5last submission … · built …

civilwith-tool

Fos Steady State

Computes the factor of safety against shallow translational failure on an embankment dam slope under steady-state seepage using the infinite slope method. The pore pressure ratio (ru) represents the phreatic surface location, and the balance of driving shear stress against Mohr-Coulomb resisting strength along the failure plane determines stability. Applicable to preliminary dam safety assessments per USACE EM 1110-2-1902 and ANCOLD guidelines.

with-tool: The model is given an executable Python calculator script.

Standards

ANCOLD Guidelines on Design Criteria USACE EM 1110-2-1902

How this task is generated

One template produces many comparable benchmark tasks while keeping the scoring contract fixed.

01
Template
The reusable contract shown on this page.
02
Scenario
An archetype and site context are sampled.
03
Difficulty tier
Inputs may be hidden at harder tiers.
04
Task prompt
The model responds with the declared outputs.

Parameters

Inputs the model receives, and the outputs it is scored on.

Inputs

6 inputs

Always given

Included directly in every task prompt.

Slope angle deg
slope_angle_deg
Embankment slope angle beta measured from horizontal
5 – 45 degrees
Failure depth
failure_depth_m
Depth from slope surface to the failure plane z
0.5 – 10 m
Pore pressure ratio
pore_pressure_ratio
Pore pressure ratio ru = u / (gamma_sat * z) representing steady-state phreatic surface
0 – 0.6

Derived from scenario

Sampled from the scenario and inferable from its description.

Cohesion
cohesion_kpa
Effective cohesion of embankment fill c'
Derived from the archetype scenario. Hidden at hard difficulty.
0 – 50 kPa
Friction angle deg
friction_angle_deg
Effective friction angle of embankment fill phi'
Derived from the archetype scenario. Hidden at hard difficulty.
10 – 45 degrees
Saturated unit weight
saturated_unit_weight_kn_m3
Saturated unit weight of embankment fill gamma_sat
Derived from the archetype scenario. Hidden at hard difficulty.
17 – 23 kN/m³

Scored outputs

3 outputs

Fos

fos

Factor of safety against slope failure FoS (dimensionless)

Scores if within ±3% of the reference value.

Driving stress

driving_stress_kpa

Driving shear stress along the failure plane tau_d (kPa)

Scores if within ±3% of the reference value.

Resisting stress

resisting_stress_kpa

Resisting shear stress along the failure plane tau_r (kPa)

Scores if within ±3% of the reference value.

Difficulty

Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.

easy

All inputs given

Dry slope (ru=0), granular fill with no cohesion — simplest formula variant

Pore pressure ratio restricted to: 0

Cohesion restricted to: 0

medium

All inputs given

Seepage present (ru > 0) with cohesive fill — full formula with all parameters given

hard

Some inputs hidden

Seepage present, soil properties hidden — agent must infer from site context and fill description

Hidden inputs

Cohesioncohesion_kpa
Friction angle degfriction_angle_deg
Saturated unit weight kn m3saturated_unit_weight_kn_m3

Prompt replacement text

The embankment fill is {{ archetype.description }} ({{ archetype.site_context }})

Task bundle

The exact instruction and parameter contract used to generate this task, pinned to the published library source.

/workspace

instruction.md
fos-steady-state_calc.py

Teal lines show Jinja input conditions, not task visibility policy. A line renders only when that input or tool is visible.

1You are a senior dams engineer specializing in embankment dam slope stability and seepage analysis.2 3## Problem4 5Calculate the factor of safety against shallow translational slope failure on an embankment dam slope under steady-state seepage conditions using the infinite slope method.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Embankment slope angle (β) | {{ slope_angle_deg }} | degrees |12| Depth to failure plane (z) | {{ failure_depth_m }} | m |13{% if cohesion_kpa is defined %}14| Effective cohesion (c') | {{ cohesion_kpa }} | kPa |15{% endif %}16{% if friction_angle_deg is defined %}17| Effective friction angle (φ') | {{ friction_angle_deg }} | degrees |18{% endif %}19{% if saturated_unit_weight_kn_m3 is defined %}20| Saturated unit weight (γ_sat) | {{ saturated_unit_weight_kn_m3 }} | kN/m³ |21{% endif %}22| Pore pressure ratio (ru) | {{ pore_pressure_ratio }} | - |23{% if archetype_description is defined %}24 25### Site Conditions26 27{{ archetype_description }}28{% endif %}29 30{% if tool_available %}31## Available Tool32 33A slope stability calculation tool is available at `/workspace/fos-steady-state_calc.py`. Run it with:34 35```bash36python3 /workspace/fos-steady-state_calc.py --help37```38 39You may use this tool to verify your calculations or compute values directly.40{% endif %}41 42## Required43 44Calculate the following:45 461. Factor of safety against slope failure FoS (dimensionless)472. Driving shear stress along the failure plane τ_d (kPa)483. Resisting shear stress along the failure plane τ_r (kPa)49 50## Applicable Standards51 52- USACE EM 1110-2-1902 — Slope Stability53- ANCOLD Guidelines on Design Criteria for Concrete Gravity Dams and Embankment Dams54 55## Constraints56 57- No internet access is available. Work from engineering knowledge and the provided tool.58- Use the infinite slope equation with pore pressure ratio for steady-state seepage:59  - **Pore pressure:** u = ru × γ_sat × z60  - **Driving shear stress:** τ_d = γ_sat × z × sin(β) × cos(β)61  - **Normal effective stress:** σ'_n = γ_sat × z × cos²(β) - u62  - **Resisting shear stress:** τ_r = c' + σ'_n × tan(φ')63  - **Factor of safety:** FoS = τ_r / τ_d64- Use γ_w = 9.81 kN/m³ (for reference; the ru formulation does not require γ_w directly)65- USACE EM 1110-2-1902 requires minimum FoS of 1.5 for steady-state seepage conditions66- Typical embankment fill properties:67  - Compacted clay: c' = 10–30 kPa, φ' = 18–26°, γ_sat = 19–21 kN/m³68  - Sandy gravel shell: c' ≈ 0 kPa, φ' = 34–40°, γ_sat = 20–22 kN/m³69  - Homogeneous earth fill: c' = 5–20 kPa, φ' = 22–30°, γ_sat = 18–20 kN/m³70 71## Output Format72 73Show your step-by-step working in Markdown, including formulas and intermediate calculations. At the end of your solution, include a JSON block with your final answers in exactly this format:74 75```json76{77  "fos": <numeric_value>,78  "driving_stress_kpa": <numeric_value>,79  "resisting_stress_kpa": <numeric_value>80}81```82 83Write your complete solution to `/workspace/output.md`.84

Scenario archetypes

Each generated task is drawn from one of these realistic scenario bands.

Site contexts ground each scenario in a real locale the model can use to infer hidden values.

Compacted clay core

compacted_clay_core

Compacted clay core zone of a zoned earth dam

warragamba-dam-nswhume-dam-nsw-vicdartmouth-dam-vic

Parameter ranges

cohesion_kpa: 10 – 30
friction_angle_deg: 18 – 26
saturated_unit_weight_kn_m3: 19 – 21

Compacted sandy gravel shell

compacted_sandy_gravel_shell

Compacted sandy gravel shell zone of a zoned earth dam

eildon-dam-vicburdekin-falls-dam-qldcotter-dam-act

Parameter ranges

cohesion_kpa: 0 – 5
friction_angle_deg: 34 – 40
saturated_unit_weight_kn_m3: 20 – 22

Homogeneous earth fill

homogeneous_earth_fill

Homogeneous earth fill embankment of a small to medium farm dam

darling-downs-farm-dam-qldgoulburn-valley-irrigation-dam-vichunter-valley-farm-dam-nsw

Parameter ranges

cohesion_kpa: 5 – 20
friction_angle_deg: 22 – 30
saturated_unit_weight_kn_m3: 18 – 20

Laterite residual

laterite_residual

Laterite residual soil fill used in tropical dam embankments

ross-river-dam-qldtinaroo-falls-dam-qld

Parameter ranges

cohesion_kpa: 8 – 25
friction_angle_deg: 20 – 28
saturated_unit_weight_kn_m3: 18 – 21

Weathered rock fill

weathered_rock_fill

Weathered rock fill placed in the outer shell of a dam embankment

thomson-dam-viccopeton-dam-nswhinze-dam-qld

Parameter ranges

cohesion_kpa: 0 – 5
friction_angle_deg: 36 – 44
saturated_unit_weight_kn_m3: 20 – 23

Silty sand fill

silty_sand_fill

Silty sand fill used in homogeneous tailings dam embankments

bowen-basin-tailings-dam-qldhunter-valley-tailings-dam-nsw

Parameter ranges

cohesion_kpa: 2 – 10
friction_angle_deg: 26 – 33
saturated_unit_weight_kn_m3: 18 – 20

Example task

warragamba-dam-nsw-compacted-clay-core-preview — hard difficulty, some inputs hidden.

Compacted clay core zone of a zoned earth dam. warragamba-dam-nsw. Required outputs: fos, driving_stress_kpa, resisting_stress_kpa

The model sees

Scenario context and visible inputs.

slope_angle_deg: 5 to 45 degrees
failure_depth_m: 0.5 to 10 m
pore_pressure_ratio: 0 to 0.6

Executable tool: fos-steady-state_calc.py

The model must infer

Inputs withheld at this difficulty.

Saturated unit weight kn m3
saturated_unit_weight_kn_m3
Cohesion
cohesion_kpa
Friction angle deg
friction_angle_deg

Stand-in text in the prompt

The embankment fill is {{ archetype.description }} ({{ archetype.site_context }})

The model must produce

The scored JSON answer schema.

{
  "fos": <number>,
  "driving_stress_kpa": <number>,
  "resisting_stress_kpa": <number>
}

fos · scored within ±3%
driving_stress_kpa · scored within ±3%
resisting_stress_kpa · scored within ±3%

Fos Steady State

How this task is generated

Template

Scenario

Difficulty tier

Task prompt

Parameters

Inputs

Scored outputs

Fos

Driving stress

Resisting stress

Difficulty

easy

medium

hard

Task bundle

Scenario archetypes

Compacted clay core

Compacted sandy gravel shell

Homogeneous earth fill

Laterite residual

Weathered rock fill

Silty sand fill

Example task

The model sees

The model must infer

The model must produce