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Fire Engineering Calculator

Fire Safety Engineering Tools · SFPE · PD 7974-1:2019 · ISO 16733-1

Heat Radiation from Window to Point

Calculate incident heat flux from a fire compartment window using the solid flame method (ISO 16733-1, SFPE Handbook)

Window Dimensions

m
m
m

Thermal Properties

K
e.g. 1073–1473 K (800–1200°C)
K
typically 293 K (20°C)
0.3–1.0, typically 1.0
5.67 × 10⁻¹¹ kW/m²K⁴

Heat Attenuation Screen (Optional)

Schematic Diagram — Plan & Elevation

Formula — Solid Flame Method

q'' = εf · σ · F · (Tf⁴ − T⁴)

F = (2/π) · [X/√(1+X²) · tan⁻¹(Y/√(1+X²)) + Y/√(1+Y²) · tan⁻¹(X/√(1+Y²))]

where X = a/(2d), Y = b/(2d)

Safety Thresholds

≥ 12.5 kW/m²Spontaneous ignition risk
≥ 4.0 kW/m²Piloted ignition possible
≥ 1.5 kW/m²Above safe separation threshold
< 1.5 kW/m²Within safe criteria

Sprinkler Activation Time Calculator

Calculate sprinkler activation time using Alpert's correlation (SFPE Handbook)

Fire Characteristics

s
Slow: 600s | Medium: 300s | Fast: 150s | Ultra-fast: 75s

Geometry

m
m
× m

Sprinkler Properties

°C
°C
(m·s)⁰·⁵
Quick: 50 | Standard: 200
0.8 (m·s)⁰·⁵
Alpert Ceiling Jet Correlations

Detector Activation Time Calculator

Calculate detector activation time using Alpert's correlation (SFPE Handbook)

Fire Characteristics

s
Slow: 600s | Medium: 300s | Fast: 150s | Ultra-fast: 75s

Geometry

m
m
× m

Detector Properties

°C
°C
Smoke detector ≈ 33°C above ambient
(m·s)⁰·⁵
(m·s)⁰·⁵
Alpert Ceiling Jet Correlations

Fire Severity Calculator

Time equivalence using Law, CIB, and Eurocode methods (EN 1991-1-2)

Compartment Geometry

m

Openings

m
%

Fire Load & Lining

MJ/m²
MJ/kg
Wh⁰·⁵/m²·K

Calculation Results

Law Formula

K
Lf,k— kg
Te,d— min

CIB Formula

c
w
Te,d— min

Eurocode Formula

kc
Kb
bv
wf
Te,d— min

Note: Results in minutes. Higher thermal inertia improves fire resistance.

Occupant Movement Time Calculator

Evacuation travel & queueing time (Buchanan 2008)

Room Geometry

m
m
m

Exit Configuration

BL=0.15m
BL=0.05m
BL=0.09m
m

Occupant Parameters

persons
m/s

Room & Exit Diagram

Key Formulae

Do = No / (Lr × Wr)

We = W − boundary layer corrections

Tm = Travel Time + Queueing Time

Compartment Fire Burnout Calculator

Ventilation-controlled burn duration (Buchanan 2008)

Fire Cell Geometry

m
m
m

Ventilation Opening

m
m

Fuel Properties

MJ/m²
MJ/kg

Fire Cell 3D View

Formulae

tb = m / ṁb (ventilation controlled)

FDS Mesh Size Calculator

Optimal mesh cell size based on characteristic fire diameter D* (NIST FDS Guide)

Fire Input

kW

Ambient Conditions

kg/m³
kJ/kg·K
m/s²
K

Target Cell Size

m
Recommended Cell Size vs HRR

Formula

D* = [Q / (ρ∞·Cp·T∞·√g)]2/5

Smoke Layer Height Calculator

Smoke descent time to critical height (Drysdale 2011)

Compartment Geometry

m
m
m
m/s²

Fire Dimensions

× m

Building & Sprinkler Status

5.0 MW
Smoke Layer Descent