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Woodworking Math

Wood species

White spruce wood

White spruce is a softwood (Picea glauca). At 12% moisture content it has a Janka hardness of 410 lbf (1,824 N) and it weighs about 25 lb/ft³ (403 kg/m³), 2.1 lb (0.95 kg) per board foot.

Also called: Picea glauca.

Key numbers

Janka hardness, 12% MC
410 lbf (1,824 N)
Green: 270 lbf (1,201 N)
Weight at 12% MC
25 lb/ft³ (403 kg/m³)
2.1 lb per board foot
Specific gravity (oven-dry weight)
0.36 at 12% MC volume
0.33 on green volume
Shrinkage, green to oven-dry
Not measured tangential

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

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

Work out what your boards weigh

How much white spruce moves

The 2021 Wood Handbook prints no shrinkage or movement coefficient for white spruce, so this page gives no movement figure rather than borrow one from another species.

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. The Handbook prints strength figures for white spruce but no shrinkage.

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 white 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)5,000 psi (34 MPa)9,400 psi (65 MPa)
Stiffness (MOE)1,140,000 psi (7.9 GPa)1,430,000 psi (9.9 GPa)
Crushing strength (compression parallel to grain)2,350 psi (16 MPa)5,180 psi (36 MPa)
Compression perpendicular to grain210 psi (1 MPa)430 psi (3 MPa)
Shear parallel to grain640 psi (4 MPa)970 psi (7 MPa)
Tension perpendicular to grain220 psi (2 MPa)360 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.

Compare with

Buying and finishing white spruce

Work it out for your project

Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured white spruce at 410 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 × 0.36 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 25 lb/ft³, or 2.1 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers