How the furnace size calculator works
A furnace is sized in two steps: first the house's heat loss on the design day, then the equipment whose output covers it without overshooting. The calculator does both:
- Heat loss. Walls, windows, ceiling, floor and air leakage, each as U × area × (70°F − design temperature), the same simplified model as the HVAC size calculator. ACCA's Manual J is the full version of this step.[acca]
- Output range. Manual S, ACCA's equipment selection standard, limits a gas or oil furnace's heat output to 100–140% of the Manual J heating load.[manuals][cb_manuals] For a 56,000 BTU/h load that means between 56,000 and 78,400 BTU/h of output.
- Input rating. Furnaces are sold by input (fuel burned). Output = input × AFUE, so the input range is the output range ÷ AFUE. The calculator picks the smallest common size (40k, 60k, 80k, 100k, 120k, 140k) whose output reaches the load and says whether it stays under 140%.
Heat loss calculator: where the heat goes
The first number the calculator shows is the house's heat loss on the design day, in BTU per hour. For the example 2,000 sq ft, two-story house with average insulation and double-pane windows at a 5°F design temperature, the heat loss calculator adds up to 32,656 BTU/h:[acca]
| Part | BTU/h | Share |
|---|---|---|
| Walls | 8,619 | 26% |
| Windows | 9,555 | 29% |
| Ceiling and attic | 2,167 | 7% |
| Floor | 2,955 | 9% |
| Air leakage | 9,360 | 29% |
| Total heat loss | 32,656 | 100% |
The biggest shares are where insulation, window upgrades and air sealing pay off; the effect of each on the furnace size is in the insulation table below. For cooling as well as heating, run the same heat loss and heat gain model in the HVAC size calculator.
What size furnace do I need for my square footage?
Square footage alone does not set furnace size, but for the same construction it gives a starting point. With average insulation, double-pane windows, average air leakage and a 5°F design temperature:
| House | Heat loss BTU/h | Input range at 95% AFUE | 95% AFUE size | 80% AFUE size |
|---|---|---|---|---|
| 1,000 sq ft (1 story) | 18,888 | 19,882–27,835 | 40,000 | 40,000 |
| 1,500 sq ft (1 story) | 26,940 | 28,358–39,701 | 40,000 | 40,000 |
| 2,000 sq ft (2 story) | 32,656 | 34,374–48,124 | 40,000 | 60,000 |
| 2,500 sq ft (2 story) | 39,484 | 41,562–58,187 | 60,000 | 60,000 |
| 3,000 sq ft (2 story) | 46,198 | 48,629–68,081 | 60,000 | 60,000 |
| 4,000 sq ft (2 story) | 59,383 | 62,509–87,512 | 80,000 | 80,000 |
The 80% column is larger because a standard-efficiency furnace sends a fifth of its fuel's heat up the flue; for the same delivered heat it needs a bigger input rating. A rule of thumb like "40 BTU per square foot" would put the 2,000 sq ft house at 80,000 BTU, about twice what this example needs, which is how many older homes ended up with oversized furnaces.
Climate changes the answer more than size
The winter design temperature is the 99% value for your location: the temperature the outdoor air stays above for all but about 88 hours of the year, not the record low. The same 2,000 sq ft house at different design temperatures, 95% AFUE:
| Climate | Heat loss BTU/h | BTU/h per 1,000 sq ft | Furnace input | Output vs load |
|---|---|---|---|---|
| Mild (30°F design) | 20,096 | 10,048 | 40,000 | 189% |
| Moderate (15°F) | 27,632 | 13,816 | 40,000 | 138% |
| Cold (5°F) | 32,656 | 16,328 | 40,000 | 116% |
| Very cold (−10°F) | 40,191 | 20,096 | 60,000 | 142% |
| Extreme (−25°F) | 47,727 | 23,864 | 60,000 | 119% |
In mild climates even the smallest common furnace is well above 140% of the load. That is where a two-stage or modulating furnace, or a heat pump, fits better; the yearly running costs are compared on heat pump vs furnace cost.
Insulation and air sealing shrink the furnace
| House shell | Heat loss BTU/h | Furnace input at 95% |
|---|---|---|
| As described | 32,656 | 40,000 |
| Good insulation | 27,288 | 40,000 |
| Tight, air-sealed | 27,976 | 40,000 |
| Poor insulation, leaky | 56,691 | 60,000 |
Sealing and insulating before replacing a furnace can drop it a size, which lowers the purchase price and the fuel bill. Today's state fuel prices are on natural gas prices, propane prices and heating oil prices.
Common sizing mistakes
- Replacing like for like. The old furnace may have been oversized from the start, and the house has probably been tightened since.
- Mixing input and output. A "100,000 BTU" furnace at 80% AFUE delivers 80,000 BTU/h. Compare output with heat loss.
- Using the record low. Designing for the coldest day ever recorded oversizes the furnace for every other hour.
- Ignoring airflow. The blower and ducts must move the air the furnace and the air conditioner need; Manual S also checks the cooling side.
Frequently asked questions
What size furnace do I need for a 2,000 sq ft house?
About 40,000 BTU input at 95% AFUE for the average-insulation example at 5°F (32,656 BTU/h heat loss); 60,000 BTU at 80% AFUE. Colder climates and leaky houses need more.
How many BTU furnace do I need per square foot?
There is no fixed number: in the tables above heat loss ranges from under 10 to over 25 BTU/h per sq ft depending on climate and construction. Calculate the heat loss instead.
How do I calculate heat loss for a house?
Add U × area × (indoor − outdoor design temperature) for walls, windows, ceiling and floor, plus air leakage. The example 2,000 sq ft house loses 32,656 BTU/h at 5°F; the calculator above does the sum for your house.
Is a bigger furnace better?
No. Manual S caps furnace output at 140% of the heating load; beyond that the furnace short-cycles, wastes fuel and heats unevenly.
Is the furnace size the input or the output?
Furnaces are labeled by input. Multiply by AFUE to get output: 60,000 BTU input at 95% AFUE is 57,000 BTU/h of heat.
Sources
- Manual J Residential Load Calculation, 8th Edition (ANSI/ACCA 2 Manual J - 2016)
- Manual S Residential Equipment Selection (ANSI/ACCA 3 Manual S): fossil-fuel furnace output 100% to 140% of the Manual J heating load
- An Introduction to ACCA Manual S (worked furnace example: 56,000 Btu/h load, furnace output no larger than 78,400 Btu/h)