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Woodworking Math

Wood species

Butternut wood

Butternut is a hardwood (Juglans cinerea). At 12% moisture content it has a Janka hardness of 490 lbf (2,180 N) and it weighs about 27 lb/ft³ (426 kg/m³), 2.2 lb (1 kg) per board foot.

Also called: white walnut.

Key numbers

Janka hardness, 12% MC
490 lbf (2,180 N)
Green: 390 lbf (1,735 N)
Weight at 12% MC
27 lb/ft³ (426 kg/m³)
2.2 lb per board foot
Specific gravity (oven-dry weight)
0.38 at 12% MC volume
0.36 on green volume
Shrinkage, green to oven-dry
6.4% tangential
Radial 3.4%, volumetric 10.6%

One source: USDA Forest Products Laboratory, the authority for species properties it measured

Why: Measured by the USDA Forest Products Laboratory; butternut's density is worked from its specific gravity with the Handbook's own equation.

Work out what your boards weigh

How much butternut moves

A 12 in wide flatsawn board of butternut that goes from 6% to 12% moisture content swells about 0.16 in (about 5/32 in, 4.1 mm). Quartersawn, the same board moves about 0.08 in (about 3/32 in, 2.1 mm). Flatsawn faces move 1.9 times as much as quartersawn ones, because the wood shrinks 6.4% around the growth rings but only 3.4% across them.

Worked with the Wood Handbook's dimensional change coefficients for butternut (Table 13-5: 0.00223 tangential, 0.00116 radial per 1% change in moisture content), which hold between 6% and 14%. Individual boards vary: the Handbook gives shrinkage a coefficient of variation of about 15% (p. 4-11).

Work out how much your board will move

Color, grain and working

Color
Light brown heartwood, often with pinkish tones or darker brown streaks, and narrow, nearly white sapwood.
Grain and texture
Rather coarse texture.
Working and character
Moderately light and soft, low in stiffness, but it machines easily and finishes well. Stained, it looks much like black walnut without walnut’s strength or hardness.
Uses
Furniture, cabinets, paneling and interior woodwork.

The Handbook reports that butternut canker, a fungal disease first described in 1979, is killing butternut widely, and the IUCN lists it as endangered.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-5.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of butternut tested by the Forest Products Laboratory (Wood Handbook Table 5-3b). Knots and cross grain make lumber weaker than these clear samples (Handbook Chapter 5).

PropertyGreen12% MC
Bending strength (MOR)5,400 psi (37 MPa)8,100 psi (56 MPa)
Stiffness (MOE)970,000 psi (6.7 GPa)1,180,000 psi (8.1 GPa)
Crushing strength (compression parallel to grain)2,420 psi (17 MPa)5,110 psi (35 MPa)
Compression perpendicular to grain220 psi (2 MPa)460 psi (3 MPa)
Shear parallel to grain760 psi (5 MPa)1,170 psi (8 MPa)
Tension perpendicular to grain430 psi (3 MPa)440 psi (3 MPa)

A dash means the Handbook prints no value; none is filled in.

Dust and health

This is what the named authorities publish, not medical advice.

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Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured butternut at 490 lbf of side hardness at 12% moisture content, on clear, straight-grained samples (Wood Handbook Table 5-3b).

    One source: USDA Forest Products Laboratory, the authority for species properties it measured , sources [1]

  2. What that means

    Side hardness (Janka) is the load needed to press a 0.444 in (11.28 mm) steel ball halfway into the wood across the grain; a higher number dents less (Handbook p. 5-5).

    One source: USDA Forest Products Laboratory, the authority for species properties it measured , sources [1]

  3. So

    Density at 12% is water's density × specific gravity × (1 + 0.12) (Handbook Eq. 4-14): 62.43 × 0.38 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 27 lb/ft³, or 2.2 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers