Hazen williams loss
hazen_williams_loss_m
Friction head loss through the fire main
Scores if within ±3% of the reference value.
LIVEdataset aec-bench@releasetasks 552models 18disciplines 5last submission … · built …
mechanicalwith-tool
Fire Main Hydraulic Seismic Support Package
Calculates source-bound fire-main hydraulic and support metrics from a deterministic SSC-11 task-owned source pack. The template combines Hazen-Williams loss, remote fire-head demand, residual pressure, pipe/support dead load, seismic reaction, and an overall synthetic pass score.
with-tool: The model is given an executable Python calculator script.
Standards
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
18 inputs
Always given
Included directly in every task prompt.
Show 18 inputs
Fire flow
fire_flow_l_s
FLOW-SSC11-002 design fire flow
32 L/sMain length
main_length_m
FIRE-SSC11-002 fire-main length to the remote branch
110.18021736015125 mPipe internal diameter
pipe_internal_diameter_mm
FIRE-SSC11-002 hydraulic internal diameter
150 mmHazen williams c
hazen_williams_c
FLOW-SSC11-002 Hazen-Williams roughness coefficient
130Riser elevation
riser_elevation_m
FIRE-SSC11-002 elevation rise to the remote head branch
5.441896024464831 mRemote head flow
remote_head_flow_l_min
FIRE-SSC11-002 remote head flow
95 L/minRemote head
remote_head_count
FIRE-SSC11-002 active remote head count
8 countSource residual pressure
source_residual_pressure_kpa
PUMP-SSC11-002 source residual pressure
310 kPaPump boost pressure
pump_boost_pressure_kpa
PUMP-SSC11-002 pump boost pressure
260 kPaRequired remote pressure
required_remote_pressure_kpa
MEMO-SSC11-002 required remote residual pressure
140 kPaSupport span
support_span_m
SUP-SSC11-002 support tributary span
4.196169128523375 mPipe outer diameter
pipe_outer_diameter_mm
SUP-SSC11-002 support pipe outer diameter
168.3 mmPipe wall thickness
pipe_wall_thickness_mm
SUP-SSC11-002 support pipe wall thickness
7.11 mmWater density
water_density_kg_m3
FLOW-SSC11-002 water density
1000 kg/m3Steel density
steel_density_kg_m3
SUP-SSC11-002 steel density
7850 kg/m3Seismic horizontal coefficient
seismic_horizontal_coefficient
SUP-SSC11-002 horizontal seismic coefficient
0.3Support vertical allowable
support_vertical_allowable_kn
SUP-SSC11-002 vertical allowable support reaction
8.5 kNSupport horizontal allowable
support_horizontal_allowable_kn
SUP-SSC11-002 horizontal allowable support reaction
3 kN
Scored outputs
12 outputs
Friction loss
friction_loss_kpa
Fire-main friction loss expressed as pressure
Scores if within ±3% of the reference value.
Remote flow demand
remote_flow_demand_l_s
Remote fire-head flow demand
Scores if within ±3% of the reference value.
Fire flow margin
fire_flow_margin_l_s
Design fire-flow margin against remote demand
Scores if within ±3% of the reference value.
Remote pressure
remote_pressure_kpa
Remote residual pressure after losses and elevation
Scores if within ±3% of the reference value.
Remote pressure margin
remote_pressure_margin_kpa
Remote residual pressure margin
Scores if within ±3% of the reference value.
Support line load kn
support_line_load_kn_m
Pipe and contents line load at the support
Scores if within ±3% of the reference value.
Support vertical reaction kn
support_vertical_reaction_kn
Vertical support reaction
Scores if within ±3% of the reference value.
Seismic horizontal reaction kn
seismic_horizontal_reaction_kn
Horizontal seismic support reaction
Scores if within ±3% of the reference value.
Support vertical utilization
support_vertical_utilization
Vertical support utilization
Scores if within ±3% of the reference value.
Support horizontal utilization
support_horizontal_utilization
Horizontal support utilization
Scores if within ±3% of the reference value.
Overall pass score
overall_pass_score
Pass score for the task-owned hydraulic and support checks
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-11 fire-main support package
- medium:
- All source-pack values given for the SSC-11 fire-main support package
- hard:
- All source-pack values given for the SSC-11 fire-main support package
Task bundle
The exact instruction and parameter contract used to generate this task, pinned to the published library source.
/workspace
- instruction.md
- fire-main-hydraulic-seismic-support-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 mechanical fire-protection engineer checking a task-owned synthetic SSC-11 fire-main hydraulic and seismic support package.2 3Use only the task-owned synthetic source pack values shown below for numeric grading. NFPA-style fire-main checks, Hazen-Williams calculations, ASME-style piping support workflows, and seismic bracing coordination routes shape the workflow context only; they are not extra data sources for this instance.4 5## Scene6 7- Product family: `SSC-11-LH-02`8- Fire-main route: `FIRE-SSC11-002`9- Flow basis: `FLOW-SSC11-002`10- Support detail: `SUP-SSC11-002`11- Pump basis: `PUMP-SSC11-002`12- Coordination memo: `MEMO-SSC11-002`13 14## Source Values15 16| Item | Value |17|------|-------|18| Design fire flow | {{ fire_flow_l_s }} L/s |19| Main length | {{ main_length_m }} m |20| Hydraulic internal diameter | {{ pipe_internal_diameter_mm }} mm |21| Hazen-Williams C | {{ hazen_williams_c }} |22| Riser elevation | {{ riser_elevation_m }} m |23| Remote head flow | {{ remote_head_flow_l_min }} L/min |24| Remote head count | {{ remote_head_count }} |25| Source residual pressure | {{ source_residual_pressure_kpa }} kPa |26| Pump boost pressure | {{ pump_boost_pressure_kpa }} kPa |27| Required remote residual pressure | {{ required_remote_pressure_kpa }} kPa |28| Support span | {{ support_span_m }} m |29| Support pipe outer diameter | {{ pipe_outer_diameter_mm }} mm |30| Support pipe wall thickness | {{ pipe_wall_thickness_mm }} mm |31| Water density | {{ water_density_kg_m3 }} kg/m3 |32| Steel density | {{ steel_density_kg_m3 }} kg/m3 |33| Seismic horizontal coefficient | {{ seismic_horizontal_coefficient }} |34| Vertical support allowable | {{ support_vertical_allowable_kn }} kN |35| Horizontal support allowable | {{ support_horizontal_allowable_kn }} kN |36 37## Checks38 39- Hazen-Williams loss equals `10.67 x length x flow^1.852 / (C^1.852 x diameter^4.871)`, using m3/s and m.40- Friction loss in kPa equals head loss times `9.81`.41- Remote demand equals `remote_head_flow_l_min x remote_head_count / 60`.42- Remote pressure equals source residual plus pump boost minus friction loss minus elevation pressure.43- Support line load includes pipe annulus steel weight plus contents weight.44- Vertical reaction equals line load times support span.45- Seismic horizontal reaction equals vertical reaction times the horizontal coefficient.46- Overall pass score is `1.0` only when flow margin, remote pressure margin, and both support utilizations pass; otherwise it is `0.0`.47 48## Output Format49 50Write a compact memo to `/workspace/output.md`. Include a source-boundary statement that this is a task-owned synthetic source pack. Preserve the object IDs above and state whether the baseline source pack passes the current docs-only checks.51 52Do not claim authority approval, accepted project evidence, software export validity, full standards compliance, executable real source-pack parsing, generated benchmark readiness, or benchmark readiness.53 54Include a fenced JSON block with exactly these numeric keys:55 56```json57{58 "hazen_williams_loss_m": <numeric_value>,59 "friction_loss_kpa": <numeric_value>,60 "remote_flow_demand_l_s": <numeric_value>,61 "fire_flow_margin_l_s": <numeric_value>,62 "remote_pressure_kpa": <numeric_value>,63 "remote_pressure_margin_kpa": <numeric_value>,64 "support_line_load_kn_m": <numeric_value>,65 "support_vertical_reaction_kn": <numeric_value>,66 "seismic_horizontal_reaction_kn": <numeric_value>,67 "support_vertical_utilization": <numeric_value>,68 "support_horizontal_utilization": <numeric_value>,69 "overall_pass_score": <numeric_value>70}71```72 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.
Ssc11 fire main support case
ssc11_fire_main_support_case
Fire-main hydraulic and seismic support case
fire-mainseismic-support-check
Parameter ranges
- fire_flow_l_s
- 32
- main_length_m
- 110.18021736015125
- pipe_internal_diameter_mm
- 150
- hazen_williams_c
- 130
- riser_elevation_m
- 5.441896024464831
- remote_head_flow_l_min
- 95
- remote_head_count
- 8
- source_residual_pressure_kpa
- 310
- pump_boost_pressure_kpa
- 260
- required_remote_pressure_kpa
- 140
- support_span_m
- 4.196169128523375
- pipe_outer_diameter_mm
- 168.3
- pipe_wall_thickness_mm
- 7.11
- water_density_kg_m3
- 1000
- steel_density_kg_m3
- 7850
- seismic_horizontal_coefficient
- 0.3
- support_vertical_allowable_kn
- 8.5
- support_horizontal_allowable_kn
- 3
Example task
fire-main-ssc11-fire-main-support-case-preview — hard difficulty, all inputs given.
Fire-main hydraulic and seismic support case. fire-main. Required outputs: hazen_williams_loss_m, friction_loss_kpa, remote_flow_demand_l_s, fire_flow_margin_l_s, remote_pressure_kpa, remote_pressure_margin_kpa
The model sees
Scenario context and visible inputs.
- fire_flow_l_s
- 32 to 32 L/s
- main_length_m
- 110.18 to 110.18 m
- pipe_internal_diameter_mm
- 150 to 150 mm
- hazen_williams_c
- 130 to 130
- riser_elevation_m
- 5.4419 to 5.4419 m
- remote_head_flow_l_min
- 95 to 95 L/min
- remote_head_count
- 8 to 8 count
- source_residual_pressure_kpa
- 310 to 310 kPa
- pump_boost_pressure_kpa
- 260 to 260 kPa
- required_remote_pressure_kpa
- 140 to 140 kPa
- support_span_m
- 4.19617 to 4.19617 m
- pipe_outer_diameter_mm
- 168.3 to 168.3 mm
- pipe_wall_thickness_mm
- 7.11 to 7.11 mm
- water_density_kg_m3
- 1000 to 1000 kg/m3
- steel_density_kg_m3
- 7850 to 7850 kg/m3
- seismic_horizontal_coefficient
- 0.3 to 0.3
- support_vertical_allowable_kn
- 8.5 to 8.5 kN
- support_horizontal_allowable_kn
- 3 to 3 kN
Executable tool: fire-main-hydraulic-seismic-support-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.
{
"hazen_williams_loss_m": <number>,
"friction_loss_kpa": <number>,
"remote_flow_demand_l_s": <number>,
"fire_flow_margin_l_s": <number>,
"remote_pressure_kpa": <number>,
"remote_pressure_margin_kpa": <number>,
"support_line_load_kn_m": <number>,
"support_vertical_reaction_kn": <number>,
"seismic_horizontal_reaction_kn": <number>,
"support_vertical_utilization": <number>,
"support_horizontal_utilization": <number>,
"overall_pass_score": <number>
}- hazen_williams_loss_m · scored within ±3%
- friction_loss_kpa · scored within ±3%
- remote_flow_demand_l_s · scored within ±3%
- fire_flow_margin_l_s · scored within ±3%
- remote_pressure_kpa · scored within ±3%
- remote_pressure_margin_kpa · scored within ±3%
- support_line_load_kn_m · scored within ±3%
- support_vertical_reaction_kn · scored within ±3%
- seismic_horizontal_reaction_kn · scored within ±3%
- support_vertical_utilization · scored within ±3%
- support_horizontal_utilization · scored within ±3%
- overall_pass_score · scored within ±3%