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

structuralwith-tool

Equipment Skid Support Vibration Package

Calculates source-bound equipment skid support metrics from a deterministic SSC-14 task-owned source pack. The template combines support reaction, foundation bearing pressure, vibration transmissibility, fatigue damage screening, load-combination capacity margin, and overall pass scoring.

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

Standards

AS 4100 ISO 10816 Miner fatigue screening equipment support memo

Tags

deterministic equipment fatigue foundation skid structural support vibration

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

17 inputs

Always given

Included directly in every task prompt.

17

Show 17 inputs

Equipment mass
equipment_mass_kg
MASS-SSC14-003 equipment operating mass
4200 kg
Dynamic allowance factor
dynamic_allowance_factor
EQP-SSC14-003 dynamic allowance for support reaction
1.15
Support count
support_count
FDN-SSC14-003 active support count
4
Reaction load factor
reaction_load_factor
LC-SSC14-003 support reaction load factor
1.35
Foundation self weight
foundation_self_weight_kn
FDN-SSC14-003 equipment foundation self-weight
28 kN
Foundation length
foundation_length_m
FDN-SSC14-003 foundation length
2.4 m
Foundation width
foundation_width_m
FDN-SSC14-003 foundation width
1.8 m
Allowable bearing
allowable_bearing_kpa
FDN-SSC14-003 allowable foundation bearing pressure
180 kPa
Operating frequency
operating_frequency_hz
VIB-SSC14-003 operating frequency
24 Hz
Support natural frequency
support_natural_frequency_hz
VIB-SSC14-003 support natural frequency
36 Hz
Damping ratio
damping_ratio
VIB-SSC14-003 damping ratio
0.08
Cycles per day
cycles_per_day
VIB-SSC14-003 duty cycle count
18 cycles/day
Design life
design_life_days
VIB-SSC14-003 design-life duration
7300 days
Stress range
stress_range_mpa
VIB-SSC14-003 fatigue stress range
42 MPa
Fatigue constant
fatigue_constant
VIB-SSC14-003 source-owned fatigue constant
1200000000000
Fatigue exponent
fatigue_exponent
VIB-SSC14-003 fatigue exponent
3
Support factored capacity
support_factored_capacity_kn
FDN-SSC14-003 support factored capacity
52 kN

Scored outputs

10 outputs

Support service reaction kn

support_service_reaction_kn

Dynamic service support reaction per support

Scores if within ±3% of the reference value.

Factored support reaction kn

factored_support_reaction_kn

Factored support reaction per support

Scores if within ±3% of the reference value.

Bearing pressure

bearing_pressure_kpa

Service foundation bearing pressure

Scores if within ±3% of the reference value.

Bearing utilization

bearing_utilization

Bearing pressure divided by allowable bearing

Scores if within ±3% of the reference value.

Frequency ratio

frequency_ratio

Operating frequency divided by support natural frequency

Scores if within ±3% of the reference value.

Vibration transmissibility

vibration_transmissibility

Damped force transmissibility

Scores if within ±3% of the reference value.

Transmitted dynamic force kn

transmitted_dynamic_force_kn

Support service reaction times transmissibility

Scores if within ±3% of the reference value.

Fatigue damage ratio

fatigue_damage_ratio

Source-owned Miner fatigue damage ratio

Scores if within ±3% of the reference value.

Load combination margin kn

load_combination_margin_kn

Support capacity minus factored support reaction

Scores if within ±3% of the reference value.

Overall pass score

overall_pass_score

1.0 when bearing, fatigue, and support capacity checks pass

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 source-pack values given for the SSC-14 equipment support package
medium:: All source-pack values given for the SSC-14 equipment support package
hard:: All source-pack values given for the SSC-14 equipment support package

Task bundle

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

/workspace

instruction.md
equipment-skid-support-vibration-package_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 structural engineer checking a task-owned synthetic SSC-14 equipment skid, support, and vibration package.2 3Use only the task-owned synthetic source pack values below for numeric grading. Equipment support, vibration, fatigue, and foundation workflows shape the context only; they are not extra data sources for this instance.4 5## Scene6 7- Product: `SSC-14-LH-03`8- Equipment layout: `EQP-SSC14-003`9- Mass and duty schedule: `MASS-SSC14-003`10- Support/foundation detail: `FDN-SSC14-003`11- Vibration and isolation data: `VIB-SSC14-003`12- Equipment support memo: `MEMO-SSC14-003`13 14## Source Values15 16- Equipment mass and dynamic allowance: {{ equipment_mass_kg }} kg and {{ dynamic_allowance_factor }}17- Support count and reaction load factor: {{ support_count }} and {{ reaction_load_factor }}18- Foundation self-weight, length, width, and allowable bearing: {{ foundation_self_weight_kn }} kN, {{ foundation_length_m }} m, {{ foundation_width_m }} m, {{ allowable_bearing_kpa }} kPa19- Operating and natural frequencies: {{ operating_frequency_hz }} Hz and {{ support_natural_frequency_hz }} Hz20- Damping ratio: {{ damping_ratio }}21- Fatigue basis: {{ cycles_per_day }} cycles/day, {{ design_life_days }} days, stress range {{ stress_range_mpa }} MPa, constant {{ fatigue_constant }}, exponent {{ fatigue_exponent }}22- Support factored capacity: {{ support_factored_capacity_kn }} kN23 24## Required Calculations25 26- Equipment weight is `mass x 9.81 / 1000`.27- Service support reaction is `equipment_weight x dynamic_allowance / support_count`.28- Factored support reaction is service reaction times the reaction load factor.29- Bearing pressure is `(equipment_weight + foundation_self_weight) / foundation_area`.30- Frequency ratio is operating frequency divided by natural frequency.31- Transmissibility is `sqrt(1 + (2 zeta r)^2) / sqrt((1 - r^2)^2 + (2 zeta r)^2)`.32- Fatigue damage ratio is `cycles x stress_range^exponent / fatigue_constant`.33- Overall pass score is `1.0` only when bearing utilization, fatigue damage, and support capacity margin pass.34 35Write a compact equipment support memo to `/workspace/output.md`. Include a source-boundary statement that this is a task-owned synthetic source pack. Preserve the source IDs above and state whether the baseline source pack passes the current synthetic checks.36 37Do not claim authority approval, accepted project evidence, software export validity, full standards compliance, executable real source-pack parsing, generated benchmark readiness, or benchmark readiness.38 39Include a fenced JSON block with exactly these numeric keys:40 41```json42{43  "support_service_reaction_kn": <numeric_value>,44  "factored_support_reaction_kn": <numeric_value>,45  "bearing_pressure_kpa": <numeric_value>,46  "bearing_utilization": <numeric_value>,47  "frequency_ratio": <numeric_value>,48  "vibration_transmissibility": <numeric_value>,49  "transmitted_dynamic_force_kn": <numeric_value>,50  "fatigue_damage_ratio": <numeric_value>,51  "load_combination_margin_kn": <numeric_value>,52  "overall_pass_score": <numeric_value>53}54```55

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.

Ssc14 equipment skid case

ssc14_equipment_skid_case

Equipment skid support, vibration, fatigue, and foundation source pack

equipment-skidfoundation-supportvibration-fatigue

Parameter ranges

equipment_mass_kg: 4200
dynamic_allowance_factor: 1.15
support_count: 4
reaction_load_factor: 1.35
foundation_self_weight_kn: 28
foundation_length_m: 2.4
foundation_width_m: 1.8
allowable_bearing_kpa: 180
operating_frequency_hz: 24
support_natural_frequency_hz: 36
damping_ratio: 0.08
cycles_per_day: 18
design_life_days: 7300
stress_range_mpa: 42
fatigue_constant: 1200000000000
fatigue_exponent: 3
support_factored_capacity_kn: 52

Example task

equipment-skid-ssc14-equipment-skid-case-preview — hard difficulty, all inputs given.

Equipment skid support, vibration, fatigue, and foundation source pack. equipment-skid. Required outputs: support_service_reaction_kn, factored_support_reaction_kn, bearing_pressure_kpa, bearing_utilization, frequency_ratio, vibration_transmissibility

The model sees

Scenario context and visible inputs.

equipment_mass_kg: 4200 to 4200 kg
dynamic_allowance_factor: 1.15 to 1.15
support_count: 4 to 4
reaction_load_factor: 1.35 to 1.35
foundation_self_weight_kn: 28 to 28 kN
foundation_length_m: 2.4 to 2.4 m
foundation_width_m: 1.8 to 1.8 m
allowable_bearing_kpa: 180 to 180 kPa
operating_frequency_hz: 24 to 24 Hz
support_natural_frequency_hz: 36 to 36 Hz
damping_ratio: 0.08 to 0.08
cycles_per_day: 18 to 18 cycles/day
design_life_days: 7300 to 7300 days
stress_range_mpa: 42 to 42 MPa
fatigue_constant: 1.2e+12 to 1.2e+12
fatigue_exponent: 3 to 3
support_factored_capacity_kn: 52 to 52 kN

Executable tool: equipment-skid-support-vibration-package_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.

{
  "support_service_reaction_kn": <number>,
  "factored_support_reaction_kn": <number>,
  "bearing_pressure_kpa": <number>,
  "bearing_utilization": <number>,
  "frequency_ratio": <number>,
  "vibration_transmissibility": <number>,
  "transmitted_dynamic_force_kn": <number>,
  "fatigue_damage_ratio": <number>,
  "load_combination_margin_kn": <number>,
  "overall_pass_score": <number>
}

support_service_reaction_kn · scored within ±3%
factored_support_reaction_kn · scored within ±3%
bearing_pressure_kpa · scored within ±3%
bearing_utilization · scored within ±3%
frequency_ratio · scored within ±3%
vibration_transmissibility · scored within ±3%
transmitted_dynamic_force_kn · scored within ±3%
fatigue_damage_ratio · scored within ±3%
load_combination_margin_kn · scored within ±3%
overall_pass_score · scored within ±3%