The Tool Mill

Lumber Shrinkage Calculator

Estimate dimensional change between two moisture contents using USDA FPL Wood Handbook (FPL-GTR-190) Table 4–3 green-to-oven-dry radial and tangential percents. Fiber saturation taken as 30% — the usual shop simplification. Not a kiln schedule.

When to use

Use it when you are building something that will move with the seasons: sizing the panel gaps in a frame-and-panel door, spacing the slots for tabletop fasteners, or checking how much a board milled at one moisture content will shrink once it settles in a heated house.

Flatsawn faces move with the tangential figure and quartersawn faces with the radial one, so choose the direction that matches the face of your board.

Calculator

Percents are green → oven-dry from the handbook table.
Tangential is the larger number for almost every species.
Width or thickness in the direction you care about.
Clamped to 0–30%. Above FSP the formula does not shrink more.
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How this is calculated

Below fiber saturation, shrinkage is treated as linear with moisture content. The handbook green-to-oven-dry percent is spread over a 30% MC span (FSP ≈ 30%). That gives a dimensional change coefficient C. Change in size is starting size times C times the MC drop (or rise).

C = (shrink_% / 100) / 30
ΔD = D × C × (MCstart − MCend)
Dfinal = D − ΔD   (positive ΔD when drying)

Species percents come from FPL-GTR-190 Table 4–3. Only species in that table are listed. Individual boards vary (~15% coefficient of variation in the handbook). This is not a kiln schedule and not a mill moisture cert.

Worked checks

CaseCΔDFinal
Douglas-fir Coast, tangential 7.6%, 12 in, 12%→6%0.0025333…0.1824 in11.8176 in
White oak, tangential 10.5%, 12 in, 12%→6%0.00350.252 in11.748 in
Generic C=0.00265 (reference only), 12 in, 12%→6%0.002650.1908 in11.8092 in

Default example uses Douglas-fir Coast tangential from Table 4–3. The calculator reproduces each row.

FAQ

Why fiber saturation = 30%?

FPL notes that if the true FSP for a species is unknown, 30% MC is the usual approximation. Real FSP sits roughly 25–32% depending on species. This page locks FSP at 30% and does not invent per-species FSP numbers.

Tangential vs radial — which do I pick?

Flatsawn face width is mostly tangential. Quartersawn face width is mostly radial. If the ring orientation is mixed or unknown, the 50/50 average is a rough middle. Tangential is typically about twice radial.

What if my board is already at 8% and I go to 6%?

Same formula. The MC difference is 2 points, not 12. Green-to-oven-dry percent is only used to build C; you do not have to start from green.

Does this include longitudinal shrinkage?

No. Lengthwise change is usually 0.1–0.2% green to oven-dry for normal wood and is out of scope here.

Can I use this as a kiln schedule?

No. Kiln schedules control wet-bulb, dry-bulb, and time. This calculator only estimates how much a dimension moves between two MC values.

Where did the species numbers come from?

USDA Forest Products Laboratory Wood Handbook, FPL-GTR-190 (2010), Table 4–3 — average radial and tangential shrinkage from green to oven-dry, expressed as a percent of the green dimension.