LIVEdataset aec-bench@releasetasks 552models 18last submission … · built …
mechanicalwith-tool

Elevation Pressure

Calculates hydraulic static pressure change from fluid density and elevation difference using the hydrostatic pressure equation. The template reports elevation head, pressure change in kPa, and pressure change in bar.

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

Standards

AS 2118.1NFPA 13

Tags

deterministicelevationhydraulicsmechanicalpressure

How this task is generated

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

  1. 01

    Template

    The reusable contract shown on this page.

  2. 02

    Scenario

    An archetype and site context are sampled.

  3. 03

    Difficulty tier

    Inputs may be hidden at harder tiers.

  4. 04

    Task prompt

    The model responds with the declared outputs.

Parameters

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

Inputs

2 inputs

Always given

Included directly in every task prompt.

2

  • Fluid density

    fluid_density_kg_m3

    Fluid density

    500 – 1400 kg/m3

  • Elevation change

    elevation_change_m

    Elevation change, positive for pressure increase with lower elevation

    -200 – 200 m

Scored outputs

3 outputs

Elevation head

elevation_head_m

Elevation head

Scores if within ±3% of the reference value.

Pressure change

pressure_change_kpa

Static pressure change

Scores if within ±3% of the reference value.

Pressure change bar

pressure_change_bar

Static pressure change in bar

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.

All inputs remain visible at every tier

For this template, difficulty scales through parameter and scenario ranges rather than hidden information.

easy:
All parameters given for a sprinkler riser
medium:
All parameters given across hydraulic systems
hard:
All parameters given for larger transfer mains

Task bundle

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

/workspace

  • instruction.md
  • elevation-pressure_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 mechanical engineer specializing in hydraulic systems.2 3## Problem4 5Calculate static pressure change caused by an elevation difference in a fluid system.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Fluid density | {{ fluid_density_kg_m3 }} | kg/m3 |12| Elevation change | {{ elevation_change_m }} | m |13 14{% if archetype_description is defined %}15### Hydraulic Context16 17{{ archetype_description }}18{% endif %}19 20{% if tool_available %}21## Available Tool22 23An elevation pressure calculation tool is available at `/workspace/{{ meta.name }}_calc.py`. Run it with:24 25```bash26python3 /workspace/{{ meta.name }}_calc.py --help27```28 29You may use this tool to verify your calculations or compute values directly.30{% endif %}31 32## Required33 34Calculate the following:35 361. Elevation head in metres372. Static pressure change in kPa383. Static pressure change in bar39 40## Constraints41 42- No internet access is available. Work from engineering knowledge and the provided tool.43- Use g = 9.81 m/s2.44- Use pressure change = fluid density x g x elevation change.45- Preserve the sign of elevation change.46 47## Output Format48 49Show your step-by-step working in Markdown. At the end of your solution, include a JSON block with your final answers in exactly this format:50 51```json52{53 "elevation_head_m": <numeric_value>,54 "pressure_change_kpa": <numeric_value>,55 "pressure_change_bar": <numeric_value>56}57```58 59Write your complete solution to `/workspace/output.md`.60 61

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.

Fire sprinkler riser

fire_sprinkler_riser

Fire sprinkler riser elevation pressure check

fire-sprinkler-risermulti-level-building
Parameter ranges
fluid_density_kg_m3
990 – 1020
elevation_change_m
-60 – 120

Water transfer main

water_transfer_main

Water transfer main elevation pressure check

water-transfer-mainpump-station
Parameter ranges
fluid_density_kg_m3
990 – 1030
elevation_change_m
-150 – 150

Example task

water-transfer-main-water-transfer-main-preview — hard difficulty, all inputs given.

Water transfer main elevation pressure check. water-transfer-main. Required outputs: elevation_head_m, pressure_change_kpa, pressure_change_bar

The model sees

Scenario context and visible inputs.

fluid_density_kg_m3
990 to 1030 kg/m3
elevation_change_m
-150 to 150 m

Executable tool: elevation-pressure_calc.py

The model must infer

Inputs withheld at this difficulty.

Nothing. All inputs are supplied.

The model must produce

The scored JSON answer schema.

{
  "elevation_head_m": <number>,
  "pressure_change_kpa": <number>,
  "pressure_change_bar": <number>
}
  • elevation_head_m · scored within ±3%
  • pressure_change_kpa · scored within ±3%
  • pressure_change_bar · scored within ±3%