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Woodworking Math

Wood species

Hackberry wood

Hackberry is a hardwood (Celtis occidentalis). At 12% moisture content it has a Janka hardness of 880 lbf (3,914 N) and it weighs about 37 lb/ft³ (594 kg/m³), 3.1 lb (1.4 kg) per board foot.

Also called: sugarberry.

Key numbers

Janka hardness, 12% MC
880 lbf (3,914 N)
Green: 700 lbf (3,114 N)
Weight at 12% MC
37 lb/ft³ (594 kg/m³)
3.1 lb per board foot
Specific gravity (oven-dry weight)
0.53 at 12% MC volume
0.49 on green volume
Shrinkage, green to oven-dry
8.9% tangential
Radial 4.8%, volumetric 13.8%

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

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

Work out what your boards weigh

How much hackberry moves

A 12 in wide flatsawn board of hackberry that goes from 6% to 12% moisture content swells about 0.23 in (about 7/32 in, 5.8 mm). Quartersawn, the same board moves about 0.12 in (about 1/8 in, 3 mm). Flatsawn faces move 1.9 times as much as quartersawn ones, because the wood shrinks 8.9% around the growth rings but only 4.8% across them.

Worked with the Wood Handbook's dimensional change coefficients for hackberry (Table 13-5: 0.00315 tangential, 0.00165 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
Pale yellow to greenish or grayish yellow sapwood; darker heartwood.
Grain and texture
Similar in structure to elm.
Working and character
Moderately heavy, moderately to very hard, high in shock resistance but low in stiffness. It shrinks a lot yet keeps its shape well while drying.
Uses
Lumber, furniture parts, dimension stock and veneer.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-7.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of hackberry 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)6,500 psi (45 MPa)11,000 psi (76 MPa)
Stiffness (MOE)950,000 psi (6.6 GPa)1,190,000 psi (8.2 GPa)
Crushing strength (compression parallel to grain)2,650 psi (18 MPa)5,440 psi (38 MPa)
Compression perpendicular to grain400 psi (3 MPa)890 psi (6 MPa)
Shear parallel to grain1,070 psi (7 MPa)1,590 psi (11 MPa)
Tension perpendicular to grain630 psi (4 MPa)580 psi (4 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 hackberry at 880 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 × 0.53 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 37 lb/ft³, or 3.1 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers