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Calcimator

Wood Movement Calculator

Calculate wood expansion and contraction based on species, moisture content change, width, and grain direction. Essential for planning joints, tabletops, and panels.

About this calculator

Solid wood keeps moving after it leaves the mill, expanding and contracting across the grain as its moisture content tracks the surrounding air. This calculator uses the standard movement formula published by the USDA Forest Products Laboratory's Wood Handbook (the dimensional-change-coefficient method in Chapter 13) -- Expected Movement equals Board Width times MC Change times a species-and-direction-specific dimensional-change coefficient -- so the wider the board and the bigger the seasonal swing in moisture content, the more it moves in absolute inches. Board Width and MC Change both move Expected Movement in the same direction: doubling either one roughly doubles the movement, which is why a 40-inch tabletop needs far more allowance at its glue joints and breadboard ends than an 8-inch drawer front does. Wood Species and Grain Direction set the Coefficient Used -- tangential-grain (flat-sawn) faces move roughly twice as much as radial-grain (quarter-sawn) faces of the same species, which is the practical reason quarter-sawn stock is favored for wide panels prone to cupping.

Width Change (the percent change relative to the original width) depends only on MC Change and the coefficient, never on Board Width itself -- a 6-inch board and a 40-inch board subjected to the same moisture swing see the same percentage change in width, even though the 40-inch board moves far more in raw inches. Alt. Grain Movement shows what the same board would do in the other grain orientation, so you can see at a glance how much movement allowance a re-orientation would buy back.

Inputs

in
%

Results

Expected Movement

0.18 in

Movement in 16ths2.83/16 in
Width Change1.48%
Alt. Grain Movement0.08 in
Coefficient Used0

Figures current as of 2021. Source: USDA Forest Products Laboratory, Wood Handbook: Wood as an Engineering Material, General Technical Report FPL-GTR-282, Chapter 13, Table 13-5 ("Dimensional change coefficients").

How to Use This Calculator
  1. Enter Board Width, MC Change, and Wood Species.
  2. Set Grain Direction.
  3. Review the Expected Movement (in) result.
  4. Use Movement in 16ths (/16 in) and Width Change (%) to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Board Width

Board WidthExpected Movement
60.09 in
90.13 in
180.27 in
300.44 in

What each input means

Board Width
Width of the board across the grain
MC Change
Expected moisture content change in percentage points
Wood Species
1=Red Oak, 2=Hard Maple, 3=Cherry, 4=Black Walnut, 5=White Pine
Grain Direction
1=Tangential (flat-sawn), 2=Radial (quarter-sawn)

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Board Width = 12, MC Change = 4, Wood Species = 1, Grain Direction = 1 = 4 input(s) provided
  2. Calculate Expected Movement
    Expected Movement
    0.1771 = 0.1771
  3. Calculate Movement in 16ths
    Movement in 16ths
    2.83 = 2.83
  4. Calculate Width Change
    Width Change
    1.48 = 1.48%

Figures and sources

Engine last updated . Checked against 2 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 a wider board move more than a narrow one for the same wood?

Expected Movement scales directly with Board Width: the formula multiplies width by the moisture-content change and the species coefficient, so doubling Board Width roughly doubles the movement in inches even though the wood's own shrink-swell rate hasn't changed. That's why a wide glued-up panel needs generous seasonal gaps in a frame-and-panel design while a narrow face frame member barely needs any.

Does Width Change (%) depend on how wide the board is?

No. Width Change is computed from MC Change and the Coefficient Used only, so a 6-inch board and a 40-inch board subjected to the identical moisture swing report the same percentage change -- Board Width has zero effect on this output. It's the raw-inches Expected Movement output, not Width Change, that scales up with a wider board.

Why does Grain Direction matter so much for wood movement?

Wood moves roughly twice as much tangentially (flat-sawn, with the growth rings running mostly parallel to the face) as it does radially (quarter-sawn, rings roughly perpendicular to the face), because wood cells are packed differently in the two directions. Setting Grain Direction to Radial instead of Tangential uses the smaller radial coefficient, which is why quarter-sawn lumber is preferred for wide panels and tabletops where minimizing cupping and movement matters most. These per-species radial and tangential coefficients come from Table 13-5 of the USDA Forest Products Laboratory's Wood Handbook (FPL-GTR-282), the standard reference US woodworkers and millwork engineers use for movement allowances.

What does Alt. Grain Movement tell me that Expected Movement doesn't?

Alt. Grain Movement recalculates the same board at the same moisture swing but with the opposite grain orientation, so you can compare tangential versus radial movement for identical Board Width and MC Change side by side. It's a quick way to see how much movement allowance you'd recover by choosing quarter-sawn stock instead of flat-sawn (or vice versa) before you commit to a cut.

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