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Wood Science Formulas

Moisture, shrinkage, density and kiln-drying equations.

VPD Calculator

VPD Calculator
Saturation Vapor Pressure (Magnus/Tetens):
VPD Calculator
SVP = 0.6108 x exp( (17.27 x T) / (T + 237.3) ) T in deg C, result kPa
Actual Vapor Pressure
AVP = SVP x (RH / 100)
VPD Calculator
VPD = SVP - AVP = SVP x (1 - RH/100)
VPD Calculator
Wet-bulb to RH (psychrometric, simplified Bogel approximation)

Green Weight Calculator

Green Weight Calculator
Oven-dry mass = Volume x Basic Density
Green Weight Calculator
Weight at MC% = Oven-dry mass x (1 + MC/100)
Green Weight Calculator
Green weight = Oven-dry mass x (1 + Green_MC/100)
Green Weight Calculator
Water to remove = Weight_current - Weight_target
Green Weight Calculator
Basic density = oven-dry mass / green volume (kg/m3)

Moisture Tracking Tool

Moisture Tracking Tool
MC% = (Wet weight - Oven-dry weight) / Oven-dry weight x 100
Moisture Tracking Tool
Drying rate = (Previous MC - Current MC) / Days elapsed
Moisture Tracking Tool
Days to target = (Current MC - Target MC) / Drying rate
Moisture Tracking Tool
Progress % = (Start - Current) / (Start - Target) x 100
Stall
drying rate near zero while MC still above target

Kiln Schedule Finder

Kiln Schedule Finder
Drying time ~ k x Thickness^2 x severity_factor x ln(MC1/MC2)
Thicker boards
time scales roughly with the square of thickness
Kiln Schedule Finder
Schedule steps decrease wet-bulb (raise temp) as MC drops
Kiln Schedule Finder
Target EMC at each step is set ~2-4% below current wood MC
Kiln type factor
Vacuum ~0.3x, Conventional 1.0x, Solar ~1.8x time

Shrinkage Predictor

MC change below FSP
dMC = (MC_start - MC_final), capped at FSP
Shrinkage Predictor
Shrinkage % = S_total x (dMC_below_fsp / FSP)
Shrinkage Predictor
where S_total = radial or tangential total shrinkage coefficient
Shrinkage Predictor
Dimension change = Original x (Shrinkage% / 100)
Shrinkage Predictor
Volumetric ~ Radial% + Tangential% (small-strain approximation)
Shrinkage Predictor
T/R ratio = Tangential / Radial (warp risk: under 1.5 stable, over 2.0 high)

EMC Calculator

Hailwood-Horrobin (USDA FPL standard)
EMC Calculator
W = 330 + 0.452xT + 0.00415xT^2 (T in deg F)
EMC Calculator
k = 0.791 + 0.000463xT - 0.000000844xT^2
EMC Calculator
k1 = 6.34 + 0.000775xT - 0.0000935xT^2
EMC Calculator
k2 = 1.09 + 0.0284xT - 0.0000904xT^2
EMC Calculator
EMC = (1800/W) x [kh/(1-kh) + (k1kh + 2k1k2k^2h^2)/(1 + k1kh + k1k2k^2h^2)]
EMC Calculator
where h = RH/100

Acclimation Calculator

Acclimation Calculator
Target EMC from room T and RH (Hailwood-Horrobin)
Acclimation Calculator
MC gap = | Current wood MC - Target EMC |
Acclimation Calculator
Acclimation days ~ base x thickness_factor x gap_factor x airflow_factor
Acclimation Calculator
Thicker boards and poor airflow increase the time sharply
Acclimation Calculator
Ready when wood MC is within ~1-2% of room EMC

Fiber Saturation Calculator

Fiber Saturation Calculator
MC from mass = (Wet mass - Oven-dry mass) / Oven-dry mass x 100
Fiber Saturation Calculator
FSP temperature adjust = FSP_20 - 0.1 x (T - 20) (T in deg C)
Fiber Saturation Calculator
Free water (above FSP) = max(0, MC - FSP)
Fiber Saturation Calculator
Bound water = min(MC, FSP)
Below FSP
shrinkage and strength changes begin

Common questions

Where do these formulas come from?

Every formula on this page comes from a published source — standards, handbooks or long-established trade rules for moisture and wood science. The source is named next to each formula. Nothing here is invented by us.

Can I use these formulas in my own spreadsheets or software?

Yes. The formulas themselves are public knowledge and free to use anywhere. If our page helped you, a link back is appreciated but not required.

Are the calculators on this site using these exact formulas?

Yes. Each calculator runs the formula shown here, and automated tests check the results against worked examples from the original sources before anything goes live.