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Woodworking Math

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Wood movement in design

Wood swells and shrinks across its grain as the air gets damper or drier. How much, and how furniture is built so it doesn’t crack.

Across the grain, not along it

Wood moves with its moisture content almost entirely across the grain. Along the length the change is so small that furniture can ignore it; across the width of a wide board it is easy to measure.

3 sources agree [source 1, source 2, source 3]

Between about 6% and 14% moisture content the change is close to a straight line, so the Wood Handbook gives each species a coefficient: the change in width per 1% change in moisture content, tangential for flatsawn faces and radial for quartersawn ones.

One source: USDA Forest Products Laboratory, the authority for the wood properties it measured [source 3]

Northern red oak’s coefficients are 0.00304 tangential and 0.00137 radial. A 12 in flatsawn top that goes from 6% to 12% moisture content grows 12 × 0.00304 × 6 = 0.219 in, about 7/32 in; quartersawn, 12 × 0.00137 × 6 = 0.099 in, about 3/32 in. The wood movement calculator works this for any species; the EMC calculator tells you the moisture content wood settles at for a temperature and humidity.

Arithmetic: exact by definition

Build so it can move

A solid top fixed rigidly to its base across the grain can’t move, so it cracks or pulls apart. Attach it with wooden buttons, metal clips, or screws in slotted holes, so it can slide across its width.

Two sources: Fine Woodworking (Taunton Press) and Lee Valley Tools [source 1, source 2]

Quartersawn wood moves about half as much across its width as flatsawn wood of the same species, so it is the better choice where movement matters most.

Two sources: Lee Valley Tools and USDA Forest Products Laboratory [source 2, source 3]

Put it to work

Check yourself

  1. 1. In which direction does a board move most as the humidity changes?

  2. 2. A 12 in wide flatsawn red oak top goes from 6% to 12% moisture content. About how much wider does it get?

  3. 3. The same top made from quartersawn red oak?

  4. 4. How should a solid wood tabletop be fastened to its base?

0 of 4 answered

Sources

  1. Fine Woodworking (Taunton Press), Garrett Hack, "5 Ways to Attach Tabletops" (1995), read 2026-11-07
  2. Lee Valley Tools, Charles Mak, "How to Cope with Wood Movement" (2021), read 2026-11-07
  3. USDA Forest Products Laboratory, Wood Handbook (FPL-GTR-282, 2021), ch. 4 Table 4-3 (shrinkage) and ch. 13 (dimensional change), read 2026-11-07

How sources are counted and labelled: how we source these numbers.