Fire Time-Temperature Severity Calculator

Integrate actual signed gas-temperature excess exposure, not standard-fire rating or energy without heat transfer. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A temperature-time integral summarizes gas-temperature exposure relative to a chosen datum.

A temperature-time integral summarizes gas-temperature exposure relative to a chosen datum.1

Its signed area is not a structural damage model or a certified fire severity rating. Use this tool to calculate fire Time-Temperature Severity from the supplied measurements and assumptions.

When to use Fire Time-Temperature Severity Calculator

Use this tool to calculate fire Time-Temperature Severity from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.

How to use Fire Time-Temperature Severity Calculator and understand its results

  1. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
  2. Enter observedFireTimesSeconds, observedFireGasTemperaturesC, callerThermalDatumC, using the field meanings and rules below, then run the tool.
  3. Read signedFireTemperatureTimeExposureCSeconds. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
observedFireTimesSecondsObserved fire times secondslist of numberRequired
observedFireGasTemperaturesCObserved fire gas temperatures clist of numberRequired
callerThermalDatumCCaller thermal datum cnumberRequired

Enter at least two strictly increasing nonnegative times in seconds with aligned finite gas temperatures in °C and finite reference datum in °C. Subtract datum and trapezoidally integrate over time. Signed area, including below-datum contributions, is retained; no zero clipping or fire-resistance assessment is applied.

signedExposure°C·s=ΣΔt×[(T_i−datum)+(T_(i+1)−datum)]/2

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
signedFireTemperatureTimeExposureCSecondsSigned Fire Temperature Time Exposure C Seconds; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "observedFireTimesSeconds": [
      0,
      1,
      3
    ],
    "observedFireGasTemperaturesC": [
      20,
      30,
      30
    ],
    "callerThermalDatumC": 20
  },
  "output": {
    "signedFireTemperatureTimeExposureCSeconds": 25
  }
}

Limitations and assumptions

Its signed area is not a structural damage model or a certified fire severity rating. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Fire Time-Equivalent Calculator for this related task: A constant-flux equivalent fire time compares heat exposure with a declared reference heat flux.

Use HVAC Heating Load Calculator when its separate inputs and assumptions fit the question: A zone heating balance combines conductance-temperature terms with signed internal contributions.

References

  1. Fire Time-Temperature Severity Calculator — tool.io

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