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structuralwith-tool

Equipment Support Foundation Vibration Package

Calculates source-bound equipment support metrics from a deterministic SSC-06 task-owned source pack. The template combines support reaction, foundation bearing pressure, vibration transmissibility, fatigue damage screening, support capacity margin, and an overall synthetic pass score.

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

Standards

equipment support workflowload-combination screeningvibration isolation workflow

Tags

deterministicequipmentfatiguefoundationstructuralsupportvibration

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

17 inputs

Always given

Included directly in every task prompt.

17
Show 17 inputs

  • Equipment mass

    equipment_mass_kg

    MASS-06-SCHED-04 equipment operating mass

    5800 kg

  • Dynamic allowance factor

    dynamic_allowance_factor

    LOAD-06-COMB-04 dynamic allowance factor

    1.2

  • Support count

    support_count

    FOUNDATION-06-BASE-04 active support count

    4

  • Reaction load factor

    reaction_load_factor

    LOAD-06-COMB-04 reaction load factor

    1.35

  • Foundation self weight

    foundation_self_weight_kn

    FOUNDATION-06-BASE-04 foundation self-weight

    35 kN

  • Foundation length

    foundation_length_m

    FOUNDATION-06-BASE-04 foundation length

    3 m

  • Foundation width

    foundation_width_m

    FOUNDATION-06-BASE-04 foundation width

    2 m

  • Allowable bearing

    allowable_bearing_kpa

    FOUNDATION-06-BASE-04 allowable bearing pressure

    160 kPa

  • Operating frequency

    operating_frequency_hz

    ISO-06-VIB-04 operating frequency

    29 Hz

  • Support natural frequency

    support_natural_frequency_hz

    ISO-06-VIB-04 support natural frequency

    42 Hz

  • Damping ratio

    damping_ratio

    ISO-06-VIB-04 damping ratio

    0.1

  • Cycles per day

    cycles_per_day

    ISO-06-VIB-04 duty cycles per day

    24 cycles/day

  • Design life

    design_life_days

    ISO-06-VIB-04 design life

    5475 days

  • Stress range

    stress_range_mpa

    LOAD-06-COMB-04 fatigue stress range

    38 MPa

  • Fatigue constant

    fatigue_constant

    LOAD-06-COMB-04 fatigue constant

    1200000000000

  • Fatigue exponent

    fatigue_exponent

    LOAD-06-COMB-04 fatigue exponent

    3

  • Support factored capacity

    support_factored_capacity_kn

    FOUNDATION-06-BASE-04 support factored capacity

    60 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

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 vibration transmissibility

Scores if within ±3% of the reference value.

Transmitted dynamic force kn

transmitted_dynamic_force_kn

Support service reaction times vibration transmissibility

Scores if within ±3% of the reference value.

Fatigue damage ratio

fatigue_damage_ratio

Miner-style fatigue damage ratio

Scores if within ±3% of the reference value.

Load combination margin kn

load_combination_margin_kn

Support capacity minus factored 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 ±0.1% 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-06 equipment support package
medium:
All source-pack values given for the SSC-06 equipment support package
hard:
All source-pack values given for the SSC-06 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-support-foundation-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 equipment engineer checking a task-owned synthetic SSC-06 equipment support, foundation, and vibration package.2 3Use only the task-owned synthetic source pack values shown below for numeric grading. Equipment layout, support, isolator, fatigue, and load-combination workflows shape the context only; this instance does not run external software or parse a real source pack.4 5## Scene6 7- Product: `SSC-06-LH-04`8- Equipment layout: `LAYOUT-06-SKID-04`9- Mass and support schedule: `MASS-06-SCHED-04`10- Foundation sketch: `FOUNDATION-06-BASE-04`11- Vibration isolator data: `ISO-06-VIB-04`12- Load-case table: `LOAD-06-COMB-04`13- Installation memo: `MEMO-06-INSTALL-04`14 15## Source Values16 17| Item | Value |18| --- | --- |19| Equipment mass | {{ equipment_mass_kg }} kg |20| Dynamic allowance factor | {{ dynamic_allowance_factor }} |21| Support count | {{ support_count }} |22| Reaction load factor | {{ reaction_load_factor }} |23| Foundation self-weight | {{ foundation_self_weight_kn }} kN |24| Foundation length | {{ foundation_length_m }} m |25| Foundation width | {{ foundation_width_m }} m |26| Allowable bearing pressure | {{ allowable_bearing_kpa }} kPa |27| Operating frequency | {{ operating_frequency_hz }} Hz |28| Support natural frequency | {{ support_natural_frequency_hz }} Hz |29| Damping ratio | {{ damping_ratio }} |30| Cycles per day | {{ cycles_per_day }} |31| Design life | {{ design_life_days }} days |32| Stress range | {{ stress_range_mpa }} MPa |33| Fatigue constant | {{ fatigue_constant }} |34| Fatigue exponent | {{ fatigue_exponent }} |35| Support factored capacity | {{ support_factored_capacity_kn }} kN |36 37## Calculation Rules38 39- Equipment weight equals `equipment_mass_kg x 9.81 / 1000`.40- Support service reaction equals equipment weight times dynamic allowance divided by support count.41- Factored support reaction equals support service reaction times reaction load factor.42- Bearing pressure equals `(equipment weight + foundation self-weight) / (foundation length x foundation width)`.43- Bearing utilization equals bearing pressure divided by allowable bearing pressure.44- Frequency ratio equals operating frequency divided by support natural frequency.45- Vibration transmissibility uses the damped single-degree expression with frequency ratio and damping ratio.46- Transmitted dynamic force equals support service reaction times vibration transmissibility.47- Fatigue damage ratio equals `cycles_per_day x design_life_days x stress_range_mpa^fatigue_exponent / fatigue_constant`.48- Load-combination margin equals support factored capacity minus factored support reaction.49- Overall pass score is `1.0` only when bearing, fatigue, and support-capacity checks pass.50 51## Output Format52 53Write a compact 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 docs-only checks.54 55Do not claim authority approval, accepted project evidence, software export validity, full standards compliance, executable real source-pack parsing, generated modelling evidence, generated benchmark readiness, or benchmark readiness.56 57Include a fenced JSON block with exactly these numeric keys:58 59```json60{61 "support_service_reaction_kn": <numeric_value>,62 "factored_support_reaction_kn": <numeric_value>,63 "bearing_pressure_kpa": <numeric_value>,64 "bearing_utilization": <numeric_value>,65 "frequency_ratio": <numeric_value>,66 "vibration_transmissibility": <numeric_value>,67 "transmitted_dynamic_force_kn": <numeric_value>,68 "fatigue_damage_ratio": <numeric_value>,69 "load_combination_margin_kn": <numeric_value>,70 "overall_pass_score": <numeric_value>71}72```73

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.

Ssc06 equipment support vibration case

ssc06_equipment_support_vibration_case

Equipment support, foundation, vibration, and load-combination source pack

equipment-support-vibrationfoundation-fatigue-check
Parameter ranges
equipment_mass_kg
5800
dynamic_allowance_factor
1.2
support_count
4
reaction_load_factor
1.35
foundation_self_weight_kn
35
foundation_length_m
3
foundation_width_m
2
allowable_bearing_kpa
160
operating_frequency_hz
29
support_natural_frequency_hz
42
damping_ratio
0.1
cycles_per_day
24
design_life_days
5475
stress_range_mpa
38
fatigue_constant
1200000000000
fatigue_exponent
3
support_factored_capacity_kn
60

Example task

equipment-support-vibration-ssc06-equipment-support-vibration-case-preview — hard difficulty, all inputs given.

Equipment support, foundation, vibration, and load-combination source pack. equipment-support-vibration. 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
5800 to 5800 kg
dynamic_allowance_factor
1.2 to 1.2
support_count
4 to 4
reaction_load_factor
1.35 to 1.35
foundation_self_weight_kn
35 to 35 kN
foundation_length_m
3 to 3 m
foundation_width_m
2 to 2 m
allowable_bearing_kpa
160 to 160 kPa
operating_frequency_hz
29 to 29 Hz
support_natural_frequency_hz
42 to 42 Hz
damping_ratio
0.1 to 0.1
cycles_per_day
24 to 24 cycles/day
design_life_days
5475 to 5475 days
stress_range_mpa
38 to 38 MPa
fatigue_constant
1.2e+12 to 1.2e+12
fatigue_exponent
3 to 3
support_factored_capacity_kn
60 to 60 kN

Executable tool: equipment-support-foundation-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 ±0.1%