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Heating Load Calculator — What it is, how it works, and a full worked example
Estimate space-heating capacity in kW and kBTU/h for one or more rooms. Supports SI/Imperial, standards presets (ASHRAE / ISHRAE / CIBSE), costing (India/US/UK), and a printable report.
Multi-room (segments) SI / Imperial toggle Cost & Energy Report BuilderWhat this calculator does
It sums up each segment’s envelope heat loss (walls, roof, windows, doors) and air-exchange loss (infiltration + ventilation), then subtracts any internal heat credits (people, lights, equipment sensible). You get total heating capacity in kW and kBTU/h, plus a warm-air airflow estimate from your chosen supply temperature rise. Optional costing converts capacity to budget and energy bills for India, US, or UK.
Standards presets (ASHRAE / ISHRAE / CIBSE) “Values derived from <Standard>, clause <xx> (user must verify)”How it works (plain English)
Inside the math
- Envelope:
Q = U · A · ΔT
(sum for walls, roof, windows, doors). - Air exchange:
Q = ρ · cp · V̇ · ΔT
, with ρ≈1.2 kg/m³, cp≈1.005 kJ/kg·K. - Credits (optional): People sensible + Lighting (LPD·Area) + Equipment sensible.
- Total:
Qtot = Qenv + Qair − Qcredits
. - Airflow (warm-air): SI
V̇ = Q/(ρ cp ΔTair)
; IP ≈CFM = BTU/h ÷ (1.08 · ΔT°F)
.
Units & outputs
- Toggle SI/Imperial anytime (instant conversion).
- Capacity in kW and kBTU/h (1 kW ≈ 3.412 kBTU/h).
- Costs from equipment rate/kW, tariff, and usage hours.
New to heat-transfer basics? Try Basics of Heat Transfer and Thermal Conduction.
Show formulas & symbols
Envelope: Q_{env} = (U_w A_w + U_r A_r + U_g A_g + U_d A_d) · (T_{in}-T_{out})
Air exchange: Q_{air} = ρ c_p (V̇_{inf} + V̇_{vent}) · (T_{in}-T_{out})
, where V̇_{inf} = ACH · Volume / 3600
and V̇_{vent} = L/s_{pp} · N / 1000
.
Credits: Q_{cred} = N·q_{S,pp} + LPD·A + (Equip_W · SF)
.
How to use the calculator
- Choose the unit system (SI or Imperial).
- Select a standard (ASHRAE / ISHRAE / CIBSE) to prefill typical U-values and set-points. A note appears: “Values derived from <Standard>, clause <xx> (user must verify).”
- Add segments (one per room/zone), give each a name.
- Enter geometry & envelope (areas, U-values), design ΔT, people, lighting, equipment, infiltration, and ventilation.
- Optional costing: choose country (India / US / UK), set equipment cost per kW, tariffs, markup, and usage hours.
- Press Calculate. Outputs update below (KPIs, table, and cost summary).
- Use Reverse mode to size warm-air flow or radiator length from a target kW.
- Click Generate Report for a printable HTML report (KPIs, tables, assumptions, metadata).
Worked example — Two-room apartment (SI units)
Standard: ASHRAE (indicative) • Indoor 21 °C • Outdoor 5 °C → ΔT = 16 K • Supply air 45 °C (ΔTair=24 K). ρ=1.2 kg/m³, cp=1005 J/kg·K.
Segment A — Living room
- Geometry: Area 24 m², Height 3.0 m → Volume 72 m³
- Envelope areas: Wall 32 m², Roof 24 m², Window 5 m², Door 2 m²
- U-values (W/m²·K): Uwall=0.45, Uroof=0.25, Uwin=2.6, Udoor=2.0
- People & internals: 3 persons @ 70 W sensible each; LPD 6 W/m²; Equipment 500 W (SF 0.8)
- Air: Infiltration 0.6 ACH; Ventilation 6 L/s·person
Item | Calculation | Load |
---|---|---|
Envelope | (0.45·32 + 0.25·24 + 2.6·5 + 2.0·2)·16 | 0.5984 kW |
Air exchange | 1.2·1005·(0.6·72/3600 + 6·3/1000)·16 | 0.5789 kW |
Credits (subtract) | 3·70 + 6·24 + 500·0.8 | 0.7540 kW |
Total | 0.5984 + 0.5789 − 0.7540 | 0.4233 kW |
Airflow (warm-air) | Q/(ρ cp ΔTair) | 0.01462 m³/s (≈ 31 CFM) |
Segment B — Bedroom
- Geometry: Area 14 m², Height 3.0 m → Volume 42 m³
- Envelope areas: Wall 20 m², Roof 14 m², Window 2 m², Door 1.8 m²
- People & internals: 2 persons @ 60 W sensible; LPD 4 W/m²; Equipment 3 W/m² (SF 0.8)
- Air: Infiltration 0.5 ACH; Ventilation 5 L/s·person
Item | Calculation | Load |
---|---|---|
Envelope | (0.45·20 + 0.25·14 + 2.6·2 + 2.0·1.8)·16 | 0.3408 kW |
Air exchange | 1.2·1005·(0.5·42/3600 + 5·2/1000)·16 | 0.3055 kW |
Credits (subtract) | 2·60 + 4·14 + (3·14)·0.8 | 0.2096 kW |
Total | 0.3408 + 0.3055 − 0.2096 | 0.4367 kW |
Airflow (warm-air) | Q/(ρ cp ΔTair) | 0.01509 m³/s (≈ 32 CFM) |
Grand totals
Costing (same load, different countries)
Assume electric heat pump with COP = 3.0; usage 6 h/day, 30 days/month. Equipment markup +10%.
Country | Equipment rate | Equip. cost | Tariff | Input (kW) | Energy ₹/$/£ /hr | ₹/$/£ /month |
---|---|---|---|---|---|---|
India | ₹7,000/kW | ₹6,622 (0.86×7000×1.10) | ₹7.00/kWh | 0.287 | ₹2.01 | ₹361 |
US | $200/kW | $189.20 | $0.1747/kWh | 0.287 | $0.050 | $9.01 |
UK | £350/kW | £331.10 | £0.2573/kWh | 0.287 | £0.074 | £13.28 |
Gas/LPG alternative (for comparison)
With a boiler/furnace at η = 0.90, fuel input = 0.86/0.90 = 0.956 kW (HHV). Using editable placeholders: India ₹5/kWh-eq → ₹4.78/hr (≈ ₹860/month at 180 h). US $0.06/kWh-eq → $0.057/hr (≈ $10.32/month). UK £0.12/kWh-eq → £0.115/hr (≈ £20.65/month). Actual tariffs vary—update in the calculator.
Pro tips for reliable heating numbers
- Check ΔT carefully. Big changes here swing results most. Use your climate’s winter design point.
- U-values matter. If you know construction (cavity wall, insulated roof, double glazing), set realistic U’s.
- Ventilation drives losses. ACH and L/s-per-person add up; reduce infiltration via sealing where practical.
- Credits are optional. For conservative sizing, switch them off (no subtraction).
- Keep a paper trail. Use the built-in Report to capture assumptions for sign-off and future tweaks.
Related reading
Methodology & standards note
The calculator uses steady-state envelope conduction and sensible air-exchange losses. Internal sensible gains can be credited. Warm-air airflow is derived from the supply temperature rise. When you select a standard (ASHRAE / ISHRAE / CIBSE), the widget populates indicative U-values, set-points, and starter ventilation and displays: “Values derived from <Standard>, clause <xx> (user must verify).”
Make readers stay longer
- Add a 20-second GIF: add two rooms → tweak ΔT → generate report.
- Insert a mini quiz: “Which input increases heating load most—U-values, ACH, or ΔT?” (Reveal with <details>.)
- Show a before/after: zero credits vs credited internals—let the KPI cards animate.
- Offer a downloadable report from the calculator for sharing with clients.