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Woodworking Math

Wood species

Walnut wood

Walnut is a hardwood (Juglans nigra). At 12% moisture content it has a Janka hardness of 1,010 lbf (4,493 N) and it weighs about 38 lb/ft³ (616 kg/m³), 3.2 lb (1.45 kg) per board foot.

Also called: black walnut.

Key numbers

Janka hardness, 12% MC
1,010 lbf (4,493 N)
Green: 900 lbf (4,003 N)
Weight at 12% MC
38 lb/ft³ (616 kg/m³)
3.2 lb per board foot
Specific gravity (oven-dry weight)
0.55 at 12% MC volume
0.51 on green volume
Shrinkage, green to oven-dry
7.8% tangential
Radial 5.5%, volumetric 12.8%

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

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

Work out what your boards weigh

How much walnut moves

A 12 in wide flatsawn board of black walnut that goes from 6% to 12% moisture content swells about 0.2 in (about 3/16 in, 5 mm). Quartersawn, the same board moves about 0.14 in (about 1/8 in, 3.5 mm). Flatsawn faces move 1.4 times as much as quartersawn ones, because the wood shrinks 7.8% around the growth rings but only 5.5% across them.

Worked with the Wood Handbook's dimensional change coefficients for black walnut (Table 13-5: 0.00274 tangential, 0.0019 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 to dark brown heartwood; nearly white sapwood up to 3 in. wide in open-grown trees.
Grain and texture
Normally straight, with an interesting figure.
Working and character
Heavy, hard, strong and stiff with good shock resistance; easy to work, stable in use and well suited to natural finishes.
Uses
Furniture, architectural woodwork, decorative panels, gunstocks, cabinets and interior woodwork.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-10.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of black walnut 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)9,500 psi (66 MPa)14,600 psi (101 MPa)
Stiffness (MOE)1,420,000 psi (9.8 GPa)1,680,000 psi (11.6 GPa)
Crushing strength (compression parallel to grain)4,300 psi (30 MPa)7,580 psi (52 MPa)
Compression perpendicular to grain490 psi (3 MPa)1,010 psi (7 MPa)
Shear parallel to grain1,220 psi (8 MPa)1,370 psi (9 MPa)
Tension perpendicular to grain570 psi (4 MPa)690 psi (5 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 black walnut at 1,010 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 × 0.55 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 38 lb/ft³, or 3.2 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers