Fire & EMS Calculator Library

Water Supply, Hose & Pump Calculators

77 tools covering Phase 1 (water supply and hydrants), Phase 2 (hose hydraulics and pump operations), Phase 3 (nozzles, streams, and suppression delivery), Phase 4 (building fire flow and incident size-up), Phase 5 (wildland and rural operations), Phase 6 (hazmat, decon, and exposure support), Phase 7 (EMS medication and infusion arithmetic), Phase 8 (patient assessment and clinical reference arithmetic), Phase 9 (incident command, transport, and resource planning), and Phase 10 (training, reporting, and quality assurance) - the full planned library. Every result shows its formula, assumptions, units, and limitations - this library is a planning and arithmetic aid, not a substitute for training, local SOPs, or scene assessment.

Phase 1 · Water Supply and Hydrants

01. Hydrant Flow Test

Pitot-based flow estimate and projection to a target residual pressure.

02. Friction Loss

Single-line hose friction loss plus appliance and elevation.

03. Pump Discharge Pressure

PDP from nozzle pressure, friction loss, appliance loss, and elevation.

04. Nozzle Flow and Reaction

Smooth bore and fog nozzle flow and reaction force estimates.

05. Available Water Duration

Minutes of supply from usable volume, demand, and refill rate.

06. Required Fire Flow

ISO-style area-method planning estimate by construction class.

07. Residual Water Availability

Projects a prior hydrant test to a different residual pressure.

08. Drafting Lift Estimate

Static lift versus the theoretical atmospheric ceiling.

09. Relay Pump Spacing

Available pressure margin at the next pump in a relay.

Phase 2 · Hose Hydraulics and Pump Operations

10. Hose Friction Loss by Line

Multi-segment line total, up to 4 segments.

11. Hose Diameter Flow Comparison

Supported flow across every configured hose diameter.

12. Elevation Pressure Change

Vertical rise/drop converted to a pressure effect, US or metric.

13. Appliance Loss Allowance

Configured appliance-loss lookup by type and flow.

14. Standpipe Pump Pressure Planner

PDP for a standpipe outlet by floor and local policy.

15. Relay Series Pump Planner

Required outlet pressure for each pump in a relay, up to 4 pumps.

16. Parallel Pump Capacity Planner

Combined capacity from pumps compatible with a target pressure.

17. Master Pump Operator PDP Sheet

PDP for every discharge line on one panel, up to 4 lines.

18. Hose Volume and Drain Time

Geometric hose volume from diameter and length.

Phase 3 · Nozzles, Streams and Suppression Delivery

19. Smooth Bore Nozzle Flow

Flow estimate from tip diameter and nozzle pressure.

20. Fog Nozzle Flow

Rated flow/pressure point, with a bounded approximation away from it.

21. Nozzle Reaction - Smooth Bore

Reaction force estimate from tip diameter and pressure.

22. Nozzle Reaction - Fog

Reaction force estimate from flow and pressure.

23. Master Stream Flow Planner

Combined flow from up to 4 devices, with per-device limits.

24. Foam Solution Proportioning

Concentrate and water split at a selected proportion.

25. Foam Concentrate Duration

Minutes of concentrate supply at a given draw rate.

26. Water Application Rate Planner

Theoretical gpm from a selected application density and area.

Phase 4 · Building Fire Flow and Incident Size-Up

27. Building Area Calculator

Floor area from up to 4 floors, each up to 2 rectangles.

28. Compartment Volume Estimate

Geometric volume from floor area and clear height.

29. Fire Flow by Selected Method

Runs only a configured, named method - refuses otherwise.

30. Exposure Separation Planner

Separation-to-height ratio, never a spread probability.

31. Water Demand and Supply Gap

Unmet demand versus reliable supply, with optional gap volume.

32. Required Flow Duration

Total volume for a flow and duration, reserve shown separately.

33. Building Height and Floor Pressure

Elevation pressure by floor count, plus local losses.

Phase 5 · Wildland and Rural Operations

34. Wildland Hose Friction

Friction loss for a forestry/wildland hose lay.

35. Portable Tank Refill Cycle

Sustainable supply rate from a repeating tanker shuttle.

36. Wildland Tank Water Duration

Flowing minutes from tank level, reserve, and flow.

37. Pump-and-Roll Water Use

Remaining tank volume as flow and time elapse.

38. Slope Rise and Hose Lay

Elevation pressure effect from a measured slope angle.

39. Crew Work/Rest Schedule Planner

Clock-time duty/rest rotation schedule, up to 12 cycles.

40. Water Point Throughput

Estimated gal/hr from a water point's fill cycle.

Phase 6 · Hazmat, Decontamination, and Exposure Support

41. Decontamination Water Volume

Water applied from flow, duration, and lane count.

42. Decon Lane Throughput

Theoretical people/hour from stations and cycle time.

43. Exposure Time Tracker

Elapsed time across up to 4 recorded exposure intervals.

44. Hazmat Resource Quantity Planner

Total quantity and packages needed from an agency allocation.

45. Runoff Containment Estimate

Geometric containment capacity from area and depth.

46. Radiation Unit Converter

Dose/dose-rate or activity unit conversion - never mixed.

Phase 7 · EMS Medication and Infusion Arithmetic

47. Weight-Based Dose Calculator

Weight x your entered protocol dose-per-kg, capped at your entered max.

48. Medication Volume Calculator

Volume (mL) from entered dose and concentration.

49. Infusion Rate Calculator

mL/hr pump rate, with the derivation shown.

50. Drip Rate Calculator

Manual gtt/min from flow rate and tubing drop factor.

51. Pediatric Weight Conversion

Converts a measured weight, lb to kg.

52. Dose Range Comparator

Flags a proposed dose against your entered reference range.

53. Medication Infusion Duration

Minutes remaining from usable volume and rate.

54. Oxygen Cylinder Duration

Estimated remaining minutes by cylinder type, pressure, and flow.

55. Naloxone Repeat Interval Timer

Elapsed time vs. your entered local repeat interval.

56. Medication Cross-Check Worksheet

Structured independent-check record - no PHI beyond local policy.

Phase 8 · Patient Assessment and Clinical Reference Arithmetic

57. GCS Score Worksheet

Eye + verbal + motor component total.

58. Shock Index Calculator

Heart rate / systolic BP, an adjunct value.

59. Mean Arterial Pressure Estimate

(SBP + 2 x DBP) / 3.

60. Body Mass Index

kg / height(m)^2, a plausibility check only.

61. Temperature Converter

F, C, and K conversion.

62. Time-Critical Event Timeline

Intervals between up to 4 recorded events.

63. Stroke/Trauma Scale Capture

Captures scale, version, and observations - no scoring table encoded.

Phase 9 · Incident Command, Transport, and Resource Planning

64. Unit Staffing Count Planner

Available personnel from rostered minus unavailable.

65. Apparatus Resource Cycle Time

Full response cycle from six time components.

66. Transport Turnaround Estimate

Full hospital turnaround from four time components.

67. Incident Water Demand Tracker

Cumulative demand and volume from up to 4 active lines.

68. Personnel Accountability Time Check

Elapsed time since last check-in, flagged if overdue.

69. Mutual Aid Resource Request Quantifier

Tabulates requested resource types and counts.

70. Patient Transport Capacity Planner

Available patient positions from capacity and occupancy.

Phase 10 · Training, Reporting, and Quality Assurance

71. Scenario Flow Budget

Training-only demand vs. supply across up to 4 streams.

72. Pump Operator Practice Evaluator

Compares a trainee's PDP answer against the expected value.

73. Hydrant Test Record Builder

Measured flow plus a dated test record.

74. Calculation Audit Summary

Formats one timestamped audit record - no PHI.

75. Unit Conversion Reference

Length, volume, pressure, and flow unit conversion.

76. Training Quiz Score Calculator

Unweighted percentage score from correct/total.

77. Library Update Impact Checklist

Release-gate checklist - no mathematical output.

About this library

This is the full planned 10-phase, 77-tool library. Phase 7 (EMS medication/infusion arithmetic) and Phase 8 (patient assessment/clinical reference arithmetic) were built with no medication, concentration, dose-per-kg, maximum dose, drop factor, or protocol interval built into the tools - every one of those values is a required field you enter yourself from your own agency's approved protocol, and the tools perform arithmetic/flagging only (they never select, suggest, or recommend a drug or a dose). Tools 57, 62, and 63 similarly perform standard published measurement/documentation math only, with no scoring table or treatment/disposition decision embedded. As with every phase, these tools remain DRAFT status - verify locally and obtain your agency's own sign-off before relying on them operationally.

Suite status: DRAFT - not yet department-approved for operational use
Suite version: 1.0.0, effective 2026-10-25
Hose coefficients, nozzle constants, and fire-flow method factors are generic training-reference defaults - see config/formulas-config.cfm - and need department sign-off before operational use.

Sources: NFPA 291, Water Flow Testing and Marking of Hydrants; NFPA 20, Installation of Stationary Pumps for Fire Protection; NFPA 24, Installation of Private Fire Service Mains and Appurtenances; IFSTA Pumping Apparatus Driver/Operator Handbook (hose friction-loss coefficients); NFPA 1964, Spray Nozzles and Nozzle Devices for Fire Fighting; NFPA 11, Standard for Low-, Medium-, and High-Expansion Foam; IFSTA Wildland Firefighting for Structural Firefighters (forestry hose friction-loss coefficients); CDC Radiation Emergencies - Mass Casualty Training (unit conversion reference); NFPA 1072, Standard for Competencies for Hazardous Materials/Weapons of Mass Destruction Responders; Compressed Gas Association (CGA) oxygen cylinder duration conversion factors (reference only - verify against cylinders/regulators in service); Glasgow Coma Scale, component definitions (published scale structure only - no dosing/drug content)