Psi s
psi_s
Short-term combination factor from AS/NZS 1170.0 Table 4.1
Scores if within ±1% of the reference value.
Computes serviceability limit state load combinations for structural deflection checks using AS/NZS 1170.0 Table 4.1. Determines short-term and long-term combination factors from the imposed-action category, applies them to dead and live loads, adds wind serviceability actions where applicable, and identifies the governing SLS combination for design.
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.
4 inputs
Included directly in every task prompt.
Dead load
dead_load_kn
Permanent (dead) load G acting on the member
Live load
live_load_kn
Imposed (live) load Q acting on the member
Sampled from the scenario and inferable from its description.
Load category
load_category
Imposed-action category per AS 1170.1 (A = domestic, B = offices, C = public assembly, D = retail, E = storage)
Derived from the archetype scenario. Hidden at hard difficulty.
Used only when the sampled task needs this part of the contract.
Wind serviceability
wind_serviceability_kn
Serviceability wind action W_s on the member (zero if wind not applicable)
Optional input.
6 outputs
psi_s
Short-term combination factor from AS/NZS 1170.0 Table 4.1
Scores if within ±1% of the reference value.
psi_l
Long-term combination factor from AS/NZS 1170.0 Table 4.1
Scores if within ±1% of the reference value.
sls_short_term_kn
Short-term SLS combination G + psi_s * Q (kN)
Scores if within ±3% of the reference value.
sls_long_term_kn
Long-term SLS combination G + psi_l * Q (kN)
Scores if within ±3% of the reference value.
sls_wind_kn
Wind SLS combination G + psi_s * Q + W_s (kN)
Scores if within ±3% of the reference value.
governing_sls_kn
Governing (maximum) SLS combination value (kN)
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 including category, no wind action — straightforward factor lookup and arithmetic
Wind serviceability kn restricted to: {'min': 0.0, 'max': 0.0}
All inputs given
All parameters given, includes wind serviceability actions across multiple categories
Some inputs hidden
Load category hidden — agent must infer the correct psi factors from the building use description
Hidden inputs
Prompt replacement text
The member is in a {{ 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 structural engineer specializing in structural loading and limit state design.2 3## Problem4 5Determine the serviceability limit state (SLS) load combinations for a structural member in accordance with AS/NZS 1170.0 Table 4.1.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Dead load (G) | {{ dead_load_kn }} | kN |12| Live load (Q) | {{ live_load_kn }} | kN |13{% if wind_serviceability_kn is defined %}14| Serviceability wind action (W_s) | {{ wind_serviceability_kn }} | kN |15{% endif %}16{% if load_category is defined %}17| Imposed-action category | {{ load_category }} | — |18{% endif %}19{% if archetype_description is defined %}20 21### Member Context22 23{{ archetype_description }}24{% endif %}25 26{% if tool_available %}27## Available Tool28 29An SLS load combination calculator is available at `/workspace/sls-load-combinations_calc.py`. Run it with:30 31```bash32python3 /workspace/sls-load-combinations_calc.py --help33```34 35You may use this tool to verify your calculations or compute values directly.36{% endif %}37 38## Required39 40Calculate the following:41 421. Short-term combination factor (psi_s) from Table 4.1432. Long-term combination factor (psi_l) from Table 4.1443. Short-term SLS combination: G + psi_s × Q (kN)454. Long-term SLS combination: G + psi_l × Q (kN)465. Wind SLS combination: G + psi_s × Q + W_s (kN)476. Governing (maximum) SLS combination value (kN)48 49## Applicable Standards50 51- AS/NZS 1170.0 — Structural design actions, Part 0: General principles (Table 4.1)52- AS 1170.1 — Structural design actions, Part 1: Permanent, imposed and other actions (imposed-action categories)53 54## Constraints55 56- No internet access is available. Work from engineering knowledge and the provided tool.57- Use the SLS combination equations from AS/NZS 1170.0 Clause 4.2.2:58 - **Short-term:** G + psi_s × Q59 - **Long-term:** G + psi_l × Q60 - **Wind SLS:** G + psi_s × Q + W_s61- The combination factors psi_s (short-term) and psi_l (long-term) depend on the imposed-action category per AS 1170.1:62 - Category A (domestic/residential): psi_s = 0.7, psi_l = 0.463 - Category B (offices): psi_s = 0.7, psi_l = 0.464 - Category C (public assembly): psi_s = 0.7, psi_l = 0.665 - Category D (shops/retail): psi_s = 0.7, psi_l = 0.466 - Category E (storage): psi_s = 1.0, psi_l = 0.667{% if load_category is not defined %}68- Determine the appropriate imposed-action category from the building use description, then look up the corresponding psi factors.69{% endif %}70{% if wind_serviceability_kn is not defined %}71- If no serviceability wind action is specified, assume W_s = 0 kN (sheltered or internal member).72{% endif %}73- The governing SLS combination is the maximum of all three combination values.74 75## Output Format76 77Show your step-by-step working in Markdown, including factor lookups and intermediate calculations. At the end of your solution, include a JSON block with your final answers in exactly this format:78 79```json80{81 "psi_s": <numeric_value>,82 "psi_l": <numeric_value>,83 "sls_short_term_kn": <numeric_value>,84 "sls_long_term_kn": <numeric_value>,85 "sls_wind_kn": <numeric_value>,86 "governing_sls_kn": <numeric_value>87}88```89 90Write your complete solution to `/workspace/output.md`.91 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.
residential_floor
Residential house floor with light dead load and domestic imposed loads
office_floor
Office building floor with moderate dead and live loads
assembly_floor
Public assembly area such as a theatre or restaurant floor
retail_floor
Retail/shopping floor with moderate imposed loads
storage_floor
Storage or warehouse floor with heavy imposed loads
exposed_office_with_wind
Office building member exposed to serviceability wind on an upper storey
assembly_with_wind
Public assembly structure with significant serviceability wind actions
cbd-office-tower-floor-office-floor-preview — hard difficulty, some inputs hidden.
Office building floor with moderate dead and live loads. cbd-office-tower-floor. Required outputs: psi_s, psi_l, sls_short_term_kn, sls_long_term_kn, sls_wind_kn, governing_sls_kn
Scenario context and visible inputs.
Executable tool: sls-load-combinations_calc.py
Inputs withheld at this difficulty.
Load category
load_category
Stand-in text in the prompt
The member is in a {{ archetype.description }} ({{ archetype.site_context }})
The scored JSON answer schema.
{
"psi_s": <number>,
"psi_l": <number>,
"sls_short_term_kn": <number>,
"sls_long_term_kn": <number>,
"sls_wind_kn": <number>,
"governing_sls_kn": <number>
}