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mechanicalwith-tool

Fire Water Sprinkler Storage Package

Calculates source-bound fire-water metrics from a deterministic SSC-19 task-owned source pack. The template combines sprinkler density-area demand, hose allowance, sprinkler head discharge, hydrant water-supply curve, riser Hazen-Williams loss, elevation pressure loss, pump boost, tank storage duration, and an overall synthetic pass score.

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

Standards

AHJ fire-protection workflow EPA EPANET FM Property Loss Prevention Data Sheets NFPA 13 NFPA 291

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

19 inputs

Always given

Included directly in every task prompt.

Show 19 inputs

Sprinkler design area
sprinkler_design_area_ft2
SPR-19-AREA-01 remote sprinkler design area
1500 ft2
Sprinkler density
sprinkler_density_gpm_ft2
HAZ-19-STORAGE-01 selected sprinkler density
0.2 gpm/ft2
Hose allowance
hose_allowance_gpm
CRIT-19-AHJ-01 hose allowance added to sprinkler demand
250 gpm
Sprinkler head k factor
sprinkler_head_k_factor_gpm_sqrt_psi
SPR-19-HEAD-01 sprinkler K factor
5.6 gpm/sqrt(psi)
Minimum head pressure
minimum_head_pressure_psi
SPR-19-HEAD-01 minimum remote-head pressure
15 psi
Installed remote head count
installed_remote_head_count
SPR-19-AREA-01 installed remote-area head count
16
Hydrant static pressure
hydrant_static_pressure_psi
HYD-19-TEST-01 hydrant static pressure
70 psi
Hydrant residual pressure
hydrant_residual_pressure_psi
HYD-19-TEST-01 hydrant residual pressure at test flow
48 psi
Hydrant test flow
hydrant_test_flow_gpm
HYD-19-TEST-01 measured hydrant test flow
900 gpm
Target residual pressure
target_residual_pressure_psi
CURVE-19-SUPPLY-01 target residual pressure for available flow
20 psi
Riser pipe length
riser_pipe_length_ft
PIPE-19-RISER-01 riser pipe length
240 ft
Riser fitting equivalent length
riser_fitting_equivalent_length_ft
PIPE-19-RISER-01 aggregate fitting equivalent length
60 ft
Riser pipe internal diameter
riser_pipe_internal_diameter_in
PIPE-19-RISER-01 pipe internal diameter
4 in
Hazen williams c
hazen_williams_c
PIPE-19-RISER-01 Hazen-Williams C factor
120
Elevation gain
elevation_gain_ft
ELEV-19-ZONE-01 elevation gain from supply boundary to remote area
38 ft
Pump boost pressure
pump_boost_pressure_psi
PUMP-19-BOOST-01 selected fire-water pump boost pressure
25 psi
Remote area allowance
remote_area_allowance_psi
CRIT-19-AHJ-01 allowance above minimum head pressure for remote-area checks
20 psi
Required duration
required_duration_min
TANK-19-STORAGE-01 fire-water storage duration
60 min
Available storage
available_storage_gal
TANK-19-STORAGE-01 available fire-water storage
36000 gal

Scored outputs

21 outputs

Sprinkler demand gpm

sprinkler_demand_gpm

SPR-19-AREA-01 density-area sprinkler demand

Scores if within ±3% of the reference value.

Total fire demand gpm

total_fire_demand_gpm

Sprinkler demand plus CRIT-19-AHJ-01 hose allowance

Scores if within ±3% of the reference value.

Sprinkler head discharge gpm

sprinkler_head_discharge_gpm

SPR-19-HEAD-01 discharge per sprinkler head at minimum pressure

Scores if within ±3% of the reference value.

Required remote head count

required_remote_head_count

Required remote-area head count from sprinkler demand and per-head discharge

Scores if within ±3% of the reference value.

Remote head count margin

remote_head_count_margin

Installed remote-area heads minus required remote-area heads

Scores if within ±3% of the reference value.

Pressure drop test psi

pressure_drop_test_psi

HYD-19-TEST-01 static minus residual pressure at test flow

Scores if within ±3% of the reference value.

Supply curve coefficient

supply_curve_coefficient

CURVE-19-SUPPLY-01 hydrant flow coefficient using exponent 0.54

Scores if within ±3% of the reference value.

Available flow 20psi gpm

available_flow_20psi_gpm

CURVE-19-SUPPLY-01 available flow at the target residual pressure

Scores if within ±3% of the reference value.

Water supply flow margin gpm

water_supply_flow_margin_gpm

Available flow at target residual pressure minus total fire demand

Scores if within ±3% of the reference value.

Residual pressure at demand psi

residual_pressure_at_demand_psi

Residual supply pressure on the hydrant curve at total fire demand

Scores if within ±3% of the reference value.

Friction loss per ft psi

friction_loss_per_ft_psi

PIPE-19-RISER-01 Hazen-Williams friction loss per foot at total fire demand

Scores if within ±0.1% of the reference value.

Equivalent length ft

equivalent_length_ft

Riser pipe length plus equivalent fitting length

Scores if within ±3% of the reference value.

Total friction loss psi

total_friction_loss_psi

PIPE-19-RISER-01 total friction pressure loss

Scores if within ±3% of the reference value.

Elevation pressure loss psi

elevation_pressure_loss_psi

ELEV-19-ZONE-01 elevation pressure loss

Scores if within ±3% of the reference value.

Available riser pressure psi

available_riser_pressure_psi

Residual demand pressure minus riser friction and elevation losses

Scores if within ±3% of the reference value.

Boosted riser pressure psi

boosted_riser_pressure_psi

Available riser pressure after PUMP-19-BOOST-01 boost

Scores if within ±3% of the reference value.

Required riser pressure psi

required_riser_pressure_psi

Minimum remote-head pressure plus CRIT-19-AHJ-01 allowance

Scores if within ±3% of the reference value.

Pressure margin psi

pressure_margin_psi

Boosted riser pressure minus required riser pressure

Scores if within ±3% of the reference value.

Required storage gal

required_storage_gal

Total fire demand times required storage duration

Scores if within ±3% of the reference value.

Storage margin gal

storage_margin_gal

Available storage minus required storage

Scores if within ±3% of the reference value.

Overall pass score

overall_pass_score

1.0 when head count, flow, pressure, and storage margins are non-negative

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 are visible for the baseline SSC-19 fire-water check.

Task bundle

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

/workspace

instruction.md
fire-water-sprinkler-storage-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 fire protection engineer checking a task-owned synthetic SSC-19 fire-water, sprinkler demand, riser pressure, pump boost, and storage package.2 3Use only the task-owned synthetic source pack values shown below for numeric grading. NFPA 13, NFPA 291, EPA EPANET, FM property loss prevention data sheets, and AHJ fire-protection workflows shape the context only; this instance does not run hydraulic network software, parse real hydrant-test forms, verify a code clause, prove AHJ approval, or prove full fire-protection compliance.4 5## Scene6 7- Fire-water design case: `CASE-SSC19-FIRE-001`8- Hazard and storage basis: `HAZ-19-STORAGE-01`9- Hydrant test form: `HYD-19-TEST-01`10- Water-supply curve: `CURVE-19-SUPPLY-01`11- Sprinkler layout and remote area: `SPR-19-AREA-01`12- Sprinkler head schedule: `SPR-19-HEAD-01`13- Riser schematic: `PIPE-19-RISER-01`14- Elevation zone record: `ELEV-19-ZONE-01`15- Fire-water pump boost schedule: `PUMP-19-BOOST-01`16- Fire-water storage tank: `TANK-19-STORAGE-01`17- AHJ design criterion: `CRIT-19-AHJ-01`18- Fire-water memo: `MEMO-19-FIRE-WATER-01`19 20## Sprinkler Demand Basis21 22| Item | Value |23|------|-------|24| Remote sprinkler design area | {{ sprinkler_design_area_ft2 }} ft2 |25| Sprinkler density | {{ sprinkler_density_gpm_ft2 }} gpm/ft2 |26| Hose allowance | {{ hose_allowance_gpm }} gpm |27| Sprinkler K factor | {{ sprinkler_head_k_factor_gpm_sqrt_psi }} gpm/sqrt(psi) |28| Minimum remote-head pressure | {{ minimum_head_pressure_psi }} psi |29| Installed remote-area head count | {{ installed_remote_head_count }} |30 31Sprinkler checks:32 33- Sprinkler demand equals design area times sprinkler density.34- Total fire demand equals sprinkler demand plus hose allowance.35- Sprinkler head discharge equals `sprinkler_head_k_factor_gpm_sqrt_psi x sqrt(minimum_head_pressure_psi)`.36- Required remote-head count equals `ceil(sprinkler_demand_gpm / sprinkler_head_discharge_gpm)`.37- Remote-head count margin equals installed remote head count minus required remote-head count.38 39## Water Supply And Riser Basis40 41| Item | Value |42|------|-------|43| Hydrant static pressure | {{ hydrant_static_pressure_psi }} psi |44| Hydrant residual pressure | {{ hydrant_residual_pressure_psi }} psi |45| Hydrant test flow | {{ hydrant_test_flow_gpm }} gpm |46| Target residual pressure | {{ target_residual_pressure_psi }} psi |47| Riser pipe length | {{ riser_pipe_length_ft }} ft |48| Riser fitting equivalent length | {{ riser_fitting_equivalent_length_ft }} ft |49| Riser pipe internal diameter | {{ riser_pipe_internal_diameter_in }} in |50| Hazen-Williams C | {{ hazen_williams_c }} |51| Elevation gain | {{ elevation_gain_ft }} ft |52 53Water-supply and riser checks:54 55- Pressure drop at test flow equals static pressure minus residual pressure.56- Supply curve coefficient equals `hydrant_test_flow_gpm / pressure_drop_test_psi^0.54`.57- Available flow at the target residual pressure equals `supply_curve_coefficient x (hydrant_static_pressure_psi - target_residual_pressure_psi)^0.54`.58- Water-supply flow margin equals available flow at target residual pressure minus total fire demand.59- Residual pressure at total fire demand equals `hydrant_static_pressure_psi - (total_fire_demand_gpm / supply_curve_coefficient)^(1 / 0.54)`.60- Friction loss per foot equals `4.52 x total_fire_demand_gpm^1.85 / (hazen_williams_c^1.85 x riser_pipe_internal_diameter_in^4.87)`.61- Equivalent length equals riser pipe length plus fitting equivalent length.62- Total friction loss equals friction loss per foot times equivalent length.63- Elevation pressure loss equals `0.433 x elevation_gain_ft`.64- Available riser pressure equals residual pressure at demand minus total friction loss and elevation pressure loss.65 66## Pump Boost And Storage Basis67 68| Item | Value |69|------|-------|70| Selected fire-water pump boost | {{ pump_boost_pressure_psi }} psi |71| Remote-area pressure allowance | {{ remote_area_allowance_psi }} psi |72| Required storage duration | {{ required_duration_min }} min |73| Available fire-water storage | {{ available_storage_gal }} gal |74 75Pump and storage checks:76 77- Boosted riser pressure equals available riser pressure plus selected fire-water pump boost.78- Required riser pressure equals minimum remote-head pressure plus remote-area pressure allowance.79- Pressure margin equals boosted riser pressure minus required riser pressure.80- Required storage equals total fire demand times required storage duration.81- Storage margin equals available storage minus required storage.82- Overall pass score is `1.0` only when remote-head count margin, water-supply flow margin, pressure margin, and storage margin are all non-negative; otherwise it is `0.0`.83 84## Output Format85 86Write a compact memo to `/workspace/output.md`. Include a source-boundary statement that this is a task-owned synthetic source pack. Explain the calculations briefly, preserve the object IDs above, and state whether the baseline source pack passes the current docs-only checks.87 88Do not claim authority approval, accepted project evidence, hydraulic software export validity, full standards compliance, executable real source-pack parsing, generated EPANET/fire-model evidence, generated benchmark readiness, or benchmark readiness.89 90Include a fenced JSON block with exactly these numeric keys:91 92```json93{94  "sprinkler_demand_gpm": <numeric_value>,95  "total_fire_demand_gpm": <numeric_value>,96  "sprinkler_head_discharge_gpm": <numeric_value>,97  "required_remote_head_count": <numeric_value>,98  "remote_head_count_margin": <numeric_value>,99  "pressure_drop_test_psi": <numeric_value>,100  "supply_curve_coefficient": <numeric_value>,101  "available_flow_20psi_gpm": <numeric_value>,102  "water_supply_flow_margin_gpm": <numeric_value>,103  "residual_pressure_at_demand_psi": <numeric_value>,104  "friction_loss_per_ft_psi": <numeric_value>,105  "equivalent_length_ft": <numeric_value>,106  "total_friction_loss_psi": <numeric_value>,107  "elevation_pressure_loss_psi": <numeric_value>,108  "available_riser_pressure_psi": <numeric_value>,109  "boosted_riser_pressure_psi": <numeric_value>,110  "required_riser_pressure_psi": <numeric_value>,111  "pressure_margin_psi": <numeric_value>,112  "required_storage_gal": <numeric_value>,113  "storage_margin_gal": <numeric_value>,114  "overall_pass_score": <numeric_value>115}116```117

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.

Ssc19 fire water case

ssc19_fire_water_case

Fire-water sprinkler storage case with hydrant test, hazard basis, riser, pump boost, and storage tank

sprinkler-storage-hazard-check

Parameter ranges

sprinkler_design_area_ft2: 1500
sprinkler_density_gpm_ft2: 0.2
hose_allowance_gpm: 250
sprinkler_head_k_factor_gpm_sqrt_psi: 5.6
minimum_head_pressure_psi: 15
installed_remote_head_count: 16
hydrant_static_pressure_psi: 70
hydrant_residual_pressure_psi: 48
hydrant_test_flow_gpm: 900
target_residual_pressure_psi: 20
riser_pipe_length_ft: 240
riser_fitting_equivalent_length_ft: 60
riser_pipe_internal_diameter_in: 4
hazen_williams_c: 120
elevation_gain_ft: 38
pump_boost_pressure_psi: 25
remote_area_allowance_psi: 20
required_duration_min: 60
available_storage_gal: 36000

Example task

sprinkler-storage-hazard-check-ssc19-fire-water-case-preview — easy difficulty, all inputs given.

Fire-water sprinkler storage case with hydrant test, hazard basis, riser, pump boost, and storage tank. sprinkler-storage-hazard-check. Required outputs: sprinkler_demand_gpm, total_fire_demand_gpm, sprinkler_head_discharge_gpm, required_remote_head_count, remote_head_count_margin, pressure_drop_test_psi

The model sees

Scenario context and visible inputs.

sprinkler_design_area_ft2: 1500 to 1500 ft2
sprinkler_density_gpm_ft2: 0.2 to 0.2 gpm/ft2
hose_allowance_gpm: 250 to 250 gpm
sprinkler_head_k_factor_gpm_sqrt_psi: 5.6 to 5.6 gpm/sqrt(psi)
minimum_head_pressure_psi: 15 to 15 psi
installed_remote_head_count: 16 to 16
hydrant_static_pressure_psi: 70 to 70 psi
hydrant_residual_pressure_psi: 48 to 48 psi
hydrant_test_flow_gpm: 900 to 900 gpm
target_residual_pressure_psi: 20 to 20 psi
riser_pipe_length_ft: 240 to 240 ft
riser_fitting_equivalent_length_ft: 60 to 60 ft
riser_pipe_internal_diameter_in: 4 to 4 in
hazen_williams_c: 120 to 120
elevation_gain_ft: 38 to 38 ft
pump_boost_pressure_psi: 25 to 25 psi
remote_area_allowance_psi: 20 to 20 psi
required_duration_min: 60 to 60 min
available_storage_gal: 36000 to 36000 gal

Executable tool: fire-water-sprinkler-storage-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.

{
  "sprinkler_demand_gpm": <number>,
  "total_fire_demand_gpm": <number>,
  "sprinkler_head_discharge_gpm": <number>,
  "required_remote_head_count": <number>,
  "remote_head_count_margin": <number>,
  "pressure_drop_test_psi": <number>,
  "supply_curve_coefficient": <number>,
  "available_flow_20psi_gpm": <number>,
  "water_supply_flow_margin_gpm": <number>,
  "residual_pressure_at_demand_psi": <number>,
  "friction_loss_per_ft_psi": <number>,
  "equivalent_length_ft": <number>,
  "total_friction_loss_psi": <number>,
  "elevation_pressure_loss_psi": <number>,
  "available_riser_pressure_psi": <number>,
  "boosted_riser_pressure_psi": <number>,
  "required_riser_pressure_psi": <number>,
  "pressure_margin_psi": <number>,
  "required_storage_gal": <number>,
  "storage_margin_gal": <number>,
  "overall_pass_score": <number>
}

sprinkler_demand_gpm · scored within ±3%
total_fire_demand_gpm · scored within ±3%
sprinkler_head_discharge_gpm · scored within ±3%
required_remote_head_count · scored within ±3%
remote_head_count_margin · scored within ±3%
pressure_drop_test_psi · scored within ±3%
supply_curve_coefficient · scored within ±3%
available_flow_20psi_gpm · scored within ±3%
water_supply_flow_margin_gpm · scored within ±3%
residual_pressure_at_demand_psi · scored within ±3%
friction_loss_per_ft_psi · scored within ±0.1%
equivalent_length_ft · scored within ±3%
total_friction_loss_psi · scored within ±3%
elevation_pressure_loss_psi · scored within ±3%
available_riser_pressure_psi · scored within ±3%
boosted_riser_pressure_psi · scored within ±3%
required_riser_pressure_psi · scored within ±3%
pressure_margin_psi · scored within ±3%
required_storage_gal · scored within ±3%
storage_margin_gal · scored within ±3%
overall_pass_score · scored within ±0.1%

Fire Water Sprinkler Storage Package

How this task is generated

Template

Scenario

Difficulty tier

Task prompt

Parameters

Inputs

Scored outputs

Sprinkler demand gpm

Total fire demand gpm

Sprinkler head discharge gpm

Required remote head count

Remote head count margin

Pressure drop test psi

Supply curve coefficient

Available flow 20psi gpm

Water supply flow margin gpm

Residual pressure at demand psi

Friction loss per ft psi

Equivalent length ft

Total friction loss psi

Elevation pressure loss psi

Available riser pressure psi

Boosted riser pressure psi

Required riser pressure psi

Pressure margin psi

Required storage gal

Storage margin gal

Overall pass score

Difficulty

All inputs remain visible at every tier

Task bundle

Scenario archetypes

Ssc19 fire water case

Example task

The model sees

The model must infer

The model must produce