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Woodworking Math

Wood species

Black cottonwood wood

Black cottonwood is a hardwood (Populus trichocarpa). At 12% moisture content it has a Janka hardness of 350 lbf (1,557 N) and it weighs about 24 lb/ft³ (392 kg/m³), 2 lb (0.93 kg) per board foot.

Also called: Populus trichocarpa.

Key numbers

Janka hardness, 12% MC
350 lbf (1,557 N)
Green: 250 lbf (1,112 N)
Weight at 12% MC
24 lb/ft³ (392 kg/m³)
2 lb per board foot
Specific gravity (oven-dry weight)
0.35 at 12% MC volume
0.31 on green volume
Shrinkage, green to oven-dry
8.6% tangential
Radial 3.6%, volumetric 12.4%

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

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

Work out what your boards weigh

How much black cottonwood moves

A 12 in wide flatsawn board of black cottonwood that goes from 6% to 12% moisture content swells about 0.22 in (about 7/32 in, 5.6 mm). Quartersawn, the same board moves about 0.09 in (about 3/32 in, 2.2 mm). Flatsawn faces move 2.4 times as much as quartersawn ones, because the wood shrinks 8.6% around the growth rings but only 3.6% across them.

Worked with the Wood Handbook's dimensional change coefficients for black cottonwood (Table 13-5: 0.00304 tangential, 0.00123 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
Grayish white to light brown heartwood; whitish sapwood merging into it.
Grain and texture
Fairly uniform texture, generally straight grained; odorless when well dried.
Working and character
Most strength properties are slightly lower than eastern cottonwood’s, and shrinkage is moderately high. Tension wood can leave a fuzzy surface that is hard to work.
Uses
Lumber, veneer and pulpwood; the lumber goes mainly into boxes, crates, baskets and pallets.

It grows on the West Coast and in western Montana, northern Idaho and western Nevada.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-6.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of black cottonwood 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)4,900 psi (34 MPa)8,500 psi (59 MPa)
Stiffness (MOE)1,080,000 psi (7.4 GPa)1,270,000 psi (8.8 GPa)
Crushing strength (compression parallel to grain)2,200 psi (15 MPa)4,500 psi (31 MPa)
Compression perpendicular to grain160 psi (1 MPa)300 psi (2 MPa)
Shear parallel to grain610 psi (4 MPa)1,040 psi (7 MPa)
Tension perpendicular to grain270 psi (2 MPa)330 psi (2 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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Buying and finishing black cottonwood

Work it out for your project

Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured black cottonwood at 350 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 × 0.35 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 24 lb/ft³, or 2 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers