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Woodworking Math

Wood species

Black spruce wood

Black spruce is a softwood (Picea mariana). At 12% moisture content it has a Janka hardness of 530 lbf (2,358 N) and it weighs about 29 lb/ft³ (470 kg/m³), 2.4 lb (1.11 kg) per board foot.

Also called: Picea mariana.

Key numbers

Janka hardness, 12% MC
530 lbf (2,358 N)
Green: 340 lbf (1,512 N)
Weight at 12% MC
29 lb/ft³ (470 kg/m³)
2.4 lb per board foot
Specific gravity (oven-dry weight)
0.42 at 12% MC volume
0.38 on green volume
Shrinkage, green to oven-dry
6.8% tangential
Radial 4.1%, volumetric 11.3%

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

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

Work out what your boards weigh

How much black spruce moves

A 12 in wide flatsawn board of black spruce that goes from 6% to 12% moisture content swells about 0.17 in (about 5/32 in, 4.3 mm). Quartersawn, the same board moves about 0.1 in (about 3/32 in, 2.6 mm). Flatsawn faces move 1.7 times as much as quartersawn ones, because the wood shrinks 6.8% around the growth rings but only 4.1% across them.

Worked with the Wood Handbook's dimensional change coefficients for black spruce (Table 13-5: 0.00237 tangential, 0.00141 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 in color, with little difference between heartwood and sapwood.
Working and character
The Handbook describes the eastern spruces together: they dry easily and are stable after drying, moderately light, easily worked, with moderate shrinkage, and moderately strong, stiff, tough and hard.
Uses
Mostly pulpwood; the lumber goes into framing, millwork, boxes and crates and piano sounding boards.

Red, white and black spruce have about the same properties and are not told apart in commerce.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-17 to 2-18.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of black spruce 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)6,100 psi (42 MPa)10,800 psi (74 MPa)
Stiffness (MOE)1,380,000 psi (9.5 GPa)1,610,000 psi (11.1 GPa)
Crushing strength (compression parallel to grain)2,840 psi (20 MPa)5,960 psi (41 MPa)
Compression perpendicular to grain240 psi (2 MPa)550 psi (4 MPa)
Shear parallel to grain740 psi (5 MPa)1,230 psi (8 MPa)
Tension perpendicular to grain100 psi (1 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 spruce

Work it out for your project

Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured black spruce at 530 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 × 0.42 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 29 lb/ft³, or 2.4 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers