Wood Moisture Equilibrium Calculator
Calculate the Equilibrium Moisture Content (EMC) of wood from temperature and humidity using the Hailwood-Horrobin equation, plus dimensional change and acclimation time.
About this calculator
Wood constantly exchanges moisture with the air around it, settling toward an Equilibrium Moisture Content (EMC) determined by ambient temperature and relative humidity — this calculator finds that target using the Hailwood-Horrobin equation as published in the USDA Forest Products Laboratory's Wood Handbook (FPL-GTR-190, Chapter 4, Equation 4-5), the standard reference model rather than a simplified approximation. The math converts your Fahrenheit input to Celsius, derives four temperature-dependent constants (W, K, K1, K2), and solves the two-hydrate sorption isotherm for EMC, clamping the result to a physically sensible 2-30% range. From there it compares your wood's current moisture content (read from a moisture meter) against that equilibrium target to show which direction and how far the wood needs to move.
Dimensional change is estimated only up to the fiber saturation point (~28% MC) — above that threshold, wood cells are saturated with free water and don't shrink or swell further, only true moisture loss within the cell walls drives movement — using your species' tangential shrinkage coefficient (defaulting to 0.28%/MC% for an average hardwood; oak runs notably higher at 0.37, pine lower at 0.22). Acclimation time is a rule-of-thumb estimate, roughly 2 days per quarter-inch of thickness per percent of MC change, not a lab-derived diffusion calculation — thicker stock and drastic climate changes both push this estimate up sharply. The 6-8% interior-furniture target reflects typical indoor heating/AC conditions; wood destined for an unconditioned space or exterior use should be evaluated against its actual service environment, not this default.
Inputs
Results
Equilibrium MC (%)
9.2
MC change needed (%)
2.8
Figures current as of 2010. Source: USDA Forest Products Laboratory, Wood Handbook: Wood as an Engineering Material, General Technical Report FPL-GTR-190, Chapter 4 ("Moisture Relations and Physical Properties of Wood"), Equation 4-5
How to Use This Calculator
- Enter the ambient Temperature in °F and Relative Humidity percentage where the wood will be installed.
- Enter the Current Wood Moisture Content from a moisture meter reading.
- Enter the Board Thickness and Width in inches for dimensional change calculations.
- Review Equilibrium MC to know the target moisture content and MC Change needed.
- Check Width Change in inches and Acclimation Days to plan proper wood conditioning before construction.
How the result changes with Relative humidity (%)
| Relative humidity (%) | Equilibrium MC (%) | MC change needed (%) |
|---|---|---|
| 25 | 5.4 | 6.6 |
| 38 | 7.4 | 4.6 |
| 75 | 14.4 | -2.4 |
| 99 | 27.7 | -15.7 |
What each input means
- Temperature (F)
- Ambient air temperature in Fahrenheit where the wood will live.
- Relative humidity (%)
- Average relative humidity of the environment.
- Current wood MC (%)
- Current moisture content of the lumber (from a moisture meter).
- Board thickness (in)
- Thickness of the stock. Thicker boards take longer to acclimate.
- Board width (in)
- Width of the board for dimensional change estimation.
- Tangential shrinkage %/MC% (0=avg)
- Species tangential shrinkage per 1% MC change. Oak ~0.37, Cherry ~0.25, Pine ~0.22. Enter 0 for average hardwood.
What each result means
- Equilibrium MC (%)
- The moisture content the wood will reach at the given temperature and humidity.
- Current MC (%)
- Your entered current moisture content.
- MC change needed (%)
- Positive = wood needs to lose moisture; negative = wood needs to gain moisture.
- Width change (in)
- Expected tangential dimensional change across the board width.
- Dimensional change (%)
- Percentage width change from current MC to EMC.
- Estimated acclimation (days)
- Approximate days to reach EMC in a conditioned shop.
- Interior furniture target MC (%)
- Standard target MC for indoor furniture (6-8%).
- EMC vs interior target (%)
- How far the EMC is from the ideal interior furniture MC of 7%.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersTemperature (F) = 70, Relative humidity (%) = 50, Current wood MC (%) = 12, Board thickness (in) = 0.75 = 6 input(s) provided
- Calculate Equilibrium MCEquilibrium MC = max(2, min(30, EMC))9.2 = 9.2
- Calculate MC change neededMC change needed = currentMC - emcClamped2.8 = 2.8
- Calculate Current MCCurrent MC12 = 12
- Calculate Width changeWidth change = Math0.046 = 0.046
Figures and sources
- Hailwood-Horrobin EMC equation (4-5) and temperature-dependent constants W, K, K1, K2 (2010) — USDA Forest Products Laboratory, Wood Handbook: Wood as an Engineering Material, General Technical Report FPL-GTR-190, Chapter 4 ("Moisture Relations and Physical Properties of Wood"), Equation 4-5
Engine last updated . Checked against 4 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does the calculator convert my temperature from Fahrenheit to Celsius before finding EMC?
The Hailwood-Horrobin equation's four constants (W, K, K1, K2) from the Forest Products Laboratory's Wood Handbook are defined as functions of temperature in Celsius, so the calculator converts your Fahrenheit input internally before deriving them and solving for EMC. The result is converted back to the percentages and inches you entered, so you never need to think in Celsius yourself.
Some EMC calculators use a Fahrenheit version of these constants. Do the two disagree?
No. The Wood Handbook publishes the Hailwood-Horrobin fit twice — once with constants written as functions of degrees Celsius (the set used here) and once with constants written for degrees Fahrenheit directly (W = 330 + 0.452T + 0.00415T², and so on, from Simpson 1973). They describe the same sorption isotherm, and evaluated across this calculator's whole 30-200 °F and 5-99% relative humidity range they agree to within 0.014 percentage points of moisture content. If you see a materially different EMC from another tool, the difference is coming from something other than which of these two constant sets it used.
Why does dimensional change stop increasing once moisture content gets high enough?
Both effectiveCurrentMC and effectiveTargetMC are capped at 28% before the dimensional-change math runs, because above roughly 28% MC — the fiber saturation point — wood cell walls are already fully saturated and any additional water just sits as free water in the cell cavities without causing further swelling. Only moisture content changes within the cell walls, below that threshold, actually change the board's dimensions.
Why might two boards with the same moisture content change end up with different width changes?
dimensionalChange multiplies board width by the shrinkage coefficient (as a fraction) by the effective MC change, and the shrinkage coefficient is species-specific — oak's tangential coefficient (about 0.37) is roughly 68% higher than pine's (about 0.22). So identical MC swings on identically sized boards of different species can produce noticeably different width changes; leaving shrinkageCoeff at 0 falls back to a 0.28 average-hardwood value that won't be exact for any specific species.
Is the acclimation-days estimate a precise timeline I can plan a build around?
No — acclimationDays is a rule-of-thumb figure (roughly 2 days per quarter-inch of board thickness per percent of MC change), not a lab-measured diffusion calculation, and the code itself notes actual air-drying rates can run slower. Treat it as a planning floor and always confirm the wood has actually reached equilibrium with a moisture meter before final glue-up, especially for thick stock or large MC swings.
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