Stock

Wood movement calculator

Flatsawn boards move more across the width than quartersawn boards. These coefficients come from the Wood Handbook, the Forest Products Laboratory’s public-domain reference, and they are meant for moisture contents between 6% and 14%.

Units

Coefficients are for 6% to 14% moisture content, from the Wood Handbook. Outside that band the result is flagged.

Change in width

—

Shop estimate. Measure your stock and cut a test on scrap.

How to use it

  1. Pick the species. Names follow the handbook. Sugar maple is the hard maple. Commercial red oak and white oak are separate, because they move differently.
  2. Choose the direction. Across a flat-sawn board, use tangential. Across a quarter-sawn board, use radial. Mixed is the average, for rings that run on a diagonal. It is a guess, and it is labeled as one.
  3. Enter the current width and the two moisture contents.
  4. Read the change and the finished width. A negative change is shrinkage.
  5. If either moisture content is outside 6% to 14%, the arithmetic still runs and the card says the coefficient was not built for that band.

The formula

Change = dimension × coefficient × (ending moisture − starting moisture).

  • C. Dimensional change coefficient per 1% moisture, based on the size near 10% moisture content.
  • Tangential. Around the rings. This is the width of a flat-sawn board.
  • Radial. Across the rings. This is the width of a quarter-sawn board, and roughly the thickness of a flat-sawn one.

Worked example

This is the Wood Handbook’s own white-fir check. A flat-sawn width of 9.15 inches at 8% moisture content, moving to 11%, changes by 0.067 inch. The tangential coefficient is 0.00245. The same board’s thickness, read radially, uses 0.00112.

A 200 mm flat-sawn white-oak panel from 12% down to 8% shrinks 2.92 mm across the width. Leave that much room, or more, if the panel is trapped. The coefficient is only tabulated for 6% to 14%. Outside that band the page still does the arithmetic and tells you the band was left.

What it will not decide

  • It does not predict cup, twist, or bow. Those depend on how the rings sit in the board, not only on the average width.
  • Movement along the grain is small for furniture lengths and is not computed.
  • It is not a structural rating and not a kiln schedule.

Questions

Where do the coefficients come from?

The Wood Handbook, published by the U.S. Forest Products Laboratory, a federal public-domain source. The white-fir worked example on this page is the handbook’s own check: 9.15 inches, tangential, from 8% to 11%.

What if my shop swings from 5% in January to 13% in August?

Thirteen is inside the band. Five is just outside it. The page will flag that. The estimate is still a useful size for a gap, and it is still an estimate. Leave a little more than the number if the panel is trapped in a frame.

Which oak do I pick?

White oak and red oak are both in the list, with different tangential coefficients. If you do not know which you bought, measure a sample through a season rather than averaging them and calling it exact.

Keep going