Understanding the furnace size calculator — concept and principle
This calculator estimates the right furnace size for a house from last year's heating fuel use and heating degree days, instead of guessing from floor area. It gives the design heat load and the range of furnace output and input ratings that match it. Homeowners use it to question an oversized quote before replacing a furnace.
How it is calculated
- Heat delivered last year = fuel × heat content × old efficiency (AFUE). Heat content (US EIA): natural gas 100,000 BTU per therm, propane 91,452 BTU per gallon, heating oil 138,500 BTU per gallon.
- Heat-loss rate UA (BTU/h per °F) = heat delivered ÷ (24 × heating degree days).
- Design heat load (BTU/h) = UA × (indoor temperature − outdoor design temperature).
- Furnace output: 100% to 140% of the design load (ACCA Manual S).
- Input rating = output ÷ new AFUE; kW = BTU/h ÷ 3,412.14.
The principle
A house loses heat roughly in proportion to the temperature difference between inside and outside. Heating degree days add up that difference over a whole season, so dividing the heat your furnace actually delivered by 24 × degree days gives the house's heat-loss rate per degree. Multiplying by the difference on a design-cold day gives the heat the furnace must supply then. ACCA Manual S sizes furnaces at 100–140% of the design load: big enough for the coldest days without short cycling the rest of the year.
Worked example
Default inputs: natural gas, 600 therms, old AFUE 80%, 5,000 °F·days, indoor 70 °F, design outdoor 5 °F, new AFUE 95%.
- Heat delivered = 600 × 100,000 × 0.80 = 48,000,000 BTU.
- UA = 48,000,000 ÷ (24 × 5,000) = 400 BTU/h·°F.
- Design load = 400 × (70 − 5) = 26,000 BTU/h = 7.6 kW.
- Output range = 26,000 to 26,000 × 1.4 = 36,400 BTU/h.
- Input range = 26,000 ÷ 0.95 = 27,368 to 36,400 ÷ 0.95 = 38,316 BTU/h.
| Heating degree days last year (°F·day, base 65 °F) | Design heat load (BTU/h) |
|---|---|
| 1,250 | 104,000 |
| 2,500 | 52,000 |
| 3,750 | 34,667 |
| 5,000 | 26,000 |
| 6,250 | 20,800 |
| 7,500 | 17,333 |
| 10,000 | 13,000 |
How to read the result
Compare the output range with the furnace models you are offered. A furnace much larger than 140% of the load runs in short bursts, which can be less comfortable and wear parts faster. If you plan insulation or window upgrades, the load will fall, so size for the improved house. Remember that the nameplate's large number is often the input; check the output.
Common mistakes
- Including gas used for hot water or cooking in the heating figure.
- Using degree days from a different year or base temperature.
- Comparing the input rating with the output range.
- Sizing from the old furnace's rating, which may itself be oversized.
Frequently asked questions
How big a furnace do I need?
One whose output is 100–140% of your design heat load; in the example, 26,000 to 36,400 BTU/h.
What is the difference between input and output BTU?
Input is the fuel energy burned; output is the heat delivered, input × AFUE.
Is a bigger furnace better?
No. An oversized furnace short-cycles and can be less comfortable and efficient.
Sources: US EIA, Energy Explained, "British thermal units (Btu)" · RESNET, "Basics of Manual S" (2014), furnace capacity 100–140% of the Manual J load