Mz cat
mz_cat
Terrain/height multiplier M_z,cat from Table 4.1(A)
Scores if within ±3% of the reference value.
Calculates the design site wind speed using the AS/NZS 1170.2 Section 2.2 equation V_sit,beta = V_R * M_d * M_z,cat * M_s * M_t. The terrain/height multiplier M_z,cat is looked up from Table 4.1(A) with linear interpolation for intermediate heights across five terrain categories. Applicable to buildings and structures in Australian and New Zealand wind regions.
with-tool: The model is given an executable Python calculator script.
Standards
One template produces many comparable benchmark tasks while keeping the scoring contract fixed.
01
The reusable contract shown on this page.
02
An archetype and site context are sampled.
03
Inputs may be hidden at harder tiers.
04
The model responds with the declared outputs.
Inputs the model receives, and the outputs it is scored on.
6 inputs
Included directly in every task prompt.
Regional wind speed m per s
regional_wind_speed_m_per_s
Regional 3-second gust wind speed V_R
Building height
building_height_m
Building height above ground z
Topographic multiplier
topographic_multiplier
Topographic multiplier M_t
Sampled from the scenario and inferable from its description.
Terrain category
terrain_category
Terrain category per AS/NZS 1170.2 Section 4.2
Derived from the archetype scenario. Hidden at hard difficulty.
Shielding multiplier
shielding_multiplier
Shielding multiplier M_s
Derived from the archetype scenario. Hidden at hard difficulty.
Used only when the sampled task needs this part of the contract.
Wind direction multiplier
wind_direction_multiplier
Wind direction multiplier M_d
Optional input.
2 outputs
mz_cat
Terrain/height multiplier M_z,cat from Table 4.1(A)
Scores if within ±3% of the reference value.
site_wind_speed_m_per_s
Site wind speed V_sit,beta (m/s)
Scores if within ±3% of the reference value.
Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.
All inputs given
All parameters given, flat terrain with no shielding or topographic effects
All inputs given
All parameters given, includes shielding and topographic effects
Some inputs hidden
Terrain category and shielding hidden — agent must infer from site description
Hidden inputs
Prompt replacement text
The site is {{ archetype.description }} ({{ archetype.site_context }})
The exact instruction and parameter contract used to generate this task, pinned to the published library source.
/workspace
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 civil/structural engineer specializing in wind loading for buildings and structures.2 3## Problem4 5Calculate the design site wind speed for a building using AS/NZS 1170.2 Section 2.2.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Regional wind speed (V_R) | {{ regional_wind_speed_m_per_s }} | m/s |12{% if terrain_category is defined %}13| Terrain category | {{ terrain_category }} | - |14{% endif %}15| Building height (z) | {{ building_height_m }} | m |16| Topographic multiplier (M_t) | {{ topographic_multiplier }} | - |17{% if shielding_multiplier is defined %}18| Shielding multiplier (M_s) | {{ shielding_multiplier }} | - |19{% endif %}20{% if wind_direction_multiplier is defined %}21| Wind direction multiplier (M_d) | {{ wind_direction_multiplier }} | - |22{% endif %}23{% if archetype_description is defined %}24 25### Site Conditions26 27{{ archetype_description }}28{% endif %}29 30{% if tool_available %}31## Available Tool32 33A wind speed calculation tool is available at `/workspace/{{ meta.name }}_calc.py`. Run it with:34 35```bash36python3 /workspace/{{ meta.name }}_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. Terrain/height multiplier M_z,cat from Table 4.1(A)472. Site wind speed V_sit,beta (m/s)48 49## Applicable Standards50 51- AS/NZS 1170.2:2021 — Structural design actions, Part 2: Wind actions52 53## Constraints54 55- No internet access is available. Work from engineering knowledge and the provided tool.56- Use the site wind speed equation from Section 2.2:57 - V_sit,beta = V_R x M_d x M_z,cat x M_s x M_t58- Determine M_z,cat from Table 4.1(A) based on the terrain category and building height:59 - For heights between tabulated values, use linear interpolation60 - For heights below 3 m, use the 3 m row values61 - Terrain categories are: 1 (open water/flat), 2 (open grassland), 2.5 (lightly built), 3 (suburban), 4 (dense urban)62{% if wind_direction_multiplier is not defined %}63- If no wind direction multiplier is specified, assume M_d = 1.0 (non-directional analysis)64{% endif %}65 66## Output Format67 68Show your step-by-step working in Markdown, including table lookups and intermediate calculations. At the end of your solution, include a JSON block with your final answers in exactly this format:69 70```json71{72 "mz_cat": <numeric_value>,73 "site_wind_speed_m_per_s": <numeric_value>74}75```76 77Write your complete solution to `/workspace/output.md`.78 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.
flat_unshielded
Flat open terrain site with no surrounding obstructions (terrain category 1 or 2) and no topographic amplification
lightly_shielded
Site in suburban area with partial shielding from nearby low-rise buildings or vegetation (terrain category 2.5 or 3)
heavily_shielded
Site in dense urban centre heavily shielded by closely spaced multi-storey buildings (terrain category 4)
hilltop_exposed
Building on or near a hilltop or escarpment with topographic wind acceleration in open terrain (terrain category 1 or 2)
darling-downs-qld-flat-unshielded-preview — hard difficulty, some inputs hidden.
Flat open terrain site with no surrounding obstructions (terrain category 1 or 2) and no topographic amplification. darling-downs-qld. Required outputs: mz_cat, site_wind_speed_m_per_s
Scenario context and visible inputs.
Executable tool: design-wind-speed_calc.py
Inputs withheld at this difficulty.
Terrain category
terrain_category
Shielding multiplier
shielding_multiplier
Stand-in text in the prompt
The site is {{ archetype.description }} ({{ archetype.site_context }})
The scored JSON answer schema.
{
"mz_cat": <number>,
"site_wind_speed_m_per_s": <number>
}