EMC CalculatorEquilibrium Moisture Content Predictor
Calculate the Equilibrium Moisture Content wood will reach at any temperature and relative humidity. Based on the Hailwood-Horrobin equation used by the USDA Forest Products Laboratory worldwide.
Why this calculation matters
EMC is where the timber ends up in service. It decides the kiln target, the acclimation period, and how much the finished piece will move across a year.
EMC Calculator
Equilibrium Moisture Content Predictor
Ambient air temperature around the wood.
Relative humidity of surrounding air (1-99%).
For drying direction analysis.
| Condition | Temperature | RH | Resulting EMC |
|---|
About EMC Calculator
Equilibrium Moisture Content (EMC) is the moisture level at which wood neither gains nor loses moisture when exposed to a constant temperature and relative humidity. Every piece of wood constantly moves toward its EMC. Knowing the target EMC for your climate is the single most important factor in preventing warping, cracking and joint failure. It replaces the printed EMC chart for wood that hangs in most kiln rooms — enter temperature and relative humidity and the equilibrium value appears instantly.
Where Is This Used?
Formulas Used
Hailwood-Horrobin (USDA FPL standard):W = 330 + 0.452xT + 0.00415xT^2 (T in deg F)k = 0.791 + 0.000463xT - 0.000000844xT^2k1 = 6.34 + 0.000775xT - 0.0000935xT^2k2 = 1.09 + 0.0284xT - 0.0000904xT^2EMC = (1800/W) x [kh/(1-kh) + (k1kh + 2k1k2k^2h^2)/(1 + k1kh + k1k2k^2h^2)]where h = RH/100How the calculation works
Temperature and humidity are fed into a published sorption model that describes how much moisture wood holds at equilibrium. The equation looks intimidating, but it does one thing: it converts the air’s condition into the moisture content the wood will settle at and stay at, given enough time.
Show the formula
Hailwood-Horrobin two-hydrate model, as published in USDA FPL Wood Handbook GTR-190 Ch. 4. With temperature in degrees F and h = RH/100: W = 330 + 0.452T + 0.00415T^2; K = 0.791 + 0.000463T - 0.000000844T^2; K1 = 6.34 + 0.000775T - 0.0000000935T^2; K2 = 1.09 + 0.0284T - 0.0000000904T^2. EMC = (1800/W) x [ Kh/(1-Kh) + (K1Kh + 2K1K2K^2h^2) / (1 + K1Kh + K1K2K^2h^2) ].The model describes equilibrium, not the time taken to reach it. Species effects on EMC are small and are not modelled.
References and what each one provides
- Hailwood–Horrobin sorption modelPublished in USDA FPL Wood Handbook, Ch. 4The two-hydrate equation relating temperature and relative humidity to equilibrium moisture content.
- USDA Wood Handbook (FPL GTR-190)USDA Forest Products LaboratoryThe published Hailwood–Horrobin coefficients and their temperature terms.
Unverified values are marked as such rather than presented as sourced.
Limitations of this calculation
Predicts the equilibrium value for the conditions entered. It does not predict how long equilibrium takes, and does not account for species differences, surface coatings, vapour barriers, or fluctuating rather than steady conditions.
Do not use this for Kiln process sign-off, or acceptance testing of a delivered consignment.
Figures are engineering estimates from the inputs and assumptions shown. Verify against the actual material and, where the result affects structure or safety, against a qualified professional.
- Hailwood–Horrobin model
- USDA FPL Wood Handbook GTR-190, Ch. 4, Table 4-2
Formula checked against the sources above by an automated regression test (tests/test-calculators.js) that derives each expected value independently of this page. Last reviewed .
How to use this tool
- Enter your wood and climate details below, then press Calculate.
- Pick your apply preset and target use from the dropdown.
- Fill in air temperature, relative humidity, current mc.
- Press Calculate.
Worked example
Common mistakes to avoid
- Using outdoor humidity for indoor furniture. Indoor RH — especially with AC or heating — is what the wood will see.
- Reading EMC as the wood's current moisture. EMC is the target it will drift toward, not what it is today.
- Ignoring seasonal swing. Design for the yearly EMC range, not one day's number.
Frequently Asked Questions
Wood species data
Density, hardness and movement for 60 timbers
Full listing in the moisture content reference.
