Boiler & Furnace BTU Calculator: What Size Do I Need?
Size a hot-water boiler or gas furnace in BTU/hr from floor area, climate zone, and AFUE — with the net AHRI and gross output a boiler needs.
How it works
A heater carries more than one BTU number, and which one you shop by depends on whether you are buying a furnace or a boiler.
A furnace carries two figures, not three. Output BTU is the heat that reaches your rooms; input BTU is the fuel burned to produce it. The nameplate size is the input, and efficiency ties them together: input = output ÷ AFUE.
A boiler, by contrast, carries three figures. Input is the fuel. Gross output — printed on the label as DOE heating capacity — is the heat leaving the boiler. Net AHRI, still widely called the I=B=R rating, is what remains after an allowance for the heat that goes into warming the distribution piping and into bringing a cold system up to temperature from a standing start. For hot-water boilers that allowance is a factor of 1.15, so gross output = net × 1.15.
Both paths start the same way: estimate what the house loses on a design-cold day as floor area × a climate-zone factor. Warm southern zones run near 32 BTU/hr per square foot, the middle of the country near 42, and cold northern zones 48 to 55.
For a furnace, that heat-loss figure is the output you need. For a boiler, that same heat-loss figure is the net rating — not the gross rating — you need to shop for: multiply by 1.15 for the matching gross output, then divide by AFUE to see what nameplate input that corresponds to.
That last step is an approximation, and worth knowing as one. AFUE is a seasonal figure while DOE heating capacity is a measured output, and on real products the two do not line up exactly — a boiler's published heating capacity divided by its input commonly lands a point or two away from its AFUE. Treat the input number here as a shopping range rather than a specification; the AHRI directory lists the measured pair for any model you are weighing.
One honest caveat on which figure to size against. Classic I=B=R practice compares the net rating, not the gross rating, to the heat loss, and that is what this calculator does: a 63,000 BTU/hr heat loss calls for a boiler rated 63,000 net, which is 72,450 gross. Some practitioners compare gross output to the heat loss instead of net. Because that skips the allowance, it lands you on a smaller boiler — the same house would accept one of 63,000 gross. Both figures are shown so you can follow either convention. What you should not do is shop for a net rating equal to the gross number; that applies the allowance twice and oversizes by 15%. You will also see the allowance written the other way round, as gross ×0.85 to get net rather than net ×1.15 to get gross — about a two percent difference between the two forms.
Steam boilers are a separate case entirely and are not covered here. A steam boiler is sized to its connected radiation — the total EDR of the radiators actually attached to it — rather than to the building's heat loss, and it keeps a 1.33 allowance instead of 1.15. Sizing steam from floor area is simply the wrong method, so this page does not offer it.
Climate factors are planning rules of thumb. A Manual J load calculation that accounts for your insulation, windows, and air sealing is the definitive answer.
output = 1,500 × 42 = 63,000 BTU/hr
input = 63,000 ÷ 0.95 = 66,316 BTU/hr → nearest furnace 80,000 BTU/hr
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Hot-water boiler path — same house · 87% AFUE
heat loss = 1,500 × 42 = 63,000 BTU/hr → this is the Net AHRI rating to shop for
gross output = 63,000 × 1.15 = 72,450 BTU/hr
input = 72,450 ÷ 0.87 = 83,276 BTU/hr