Radiator EDR to Heat Output
The heat a cast-iron radiator delivers from its EDR (Equivalent Direct Radiation, sq ft) rating.
Example
You enter
- Connected EDR (sq ft) 320
- EDR constant (240 steam, 150 hot water) 240
- Boiler pickup factor (0.33 steam, 0.15 HW) 0.33
You get
- Radiator heat output 76800 BTU/hr
- Gross boiler size 102144
Details, formula, and sources
The heat a cast-iron radiator delivers from its EDR (Equivalent Direct Radiation, sq ft) rating, and the gross boiler to feed it -- the counting-radiators-to-size-a-boiler direction, the complement of boiler-horsepower (which converts a boiler nameplate the other way, steam-only). Q = EDR x k, with a fixed constant per system: 240 BTU/hr per sq ft on STEAM (Hydronics Institute / I=B=R, 215 F steam in a 70 F room) or 150 on HOT WATER (170 F avg water, 70 F room) -- the hot-water basis boiler-horsepower's steam EDR omits. 320 sq ft EDR on steam = 76,800 BTU/hr; on hot water = 48,000. The boiler adds a PICKUP allowance for cold piping: gross = net x (1 + pickup), I=B=R ~0.33 steam / ~0.15 hot water, so 76,800 steam wants a boiler near 102,000 BTU/hr gross, selected by its NET rating. A sizing aid; the radiator EDR, the real piping/pickup, and the boiler's I=B=R net rating govern.
heat_output_btu_hr = edr_sqft x system_k (k = 240 steam, 150 hot water); gross_boiler_btu_hr = heat_output_btu_hr x (1 + pickup_factor). I=B=R pickup ~0.33 steam, ~0.15 hot water.
Equivalent Direct Radiation (EDR) heat-output conversion (Hydronics Institute / I=B=R basis), by name; the radiator EDR from the maker or a measurement, the actual piping and pickup, and the boiler's I=B=R net rating govern.
The EDR constants (240 BTU/hr per sq ft steam, 150 hot water) and the pounds-formula-style gross-up are public heating practice; the connected EDR and the pickup allowance are the job's values.
Estimate. AHJ and licensed professional govern.
Field names used by the API: edr_sqft, system_k, pickup_factor, heat_output_btu_hr, gross_boiler_btu_hr
- EDR constants 1 sq ft EDR = 240 BTU/hr steam (215 F / 70 F room), 150 BTU/hr hot water (170 F avg / 70 F room)Hydronics Institute / I=B=R
- Boiler pickup gross = net x (1 + pickup); I=B=R pickup ~0.33 steam, ~0.15 hot water; select by the boiler's NET ratingI=B=R boiler sizing