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Woodworking Math

Wood species

Eastern white pine wood

Eastern white pine is a softwood (Pinus strobus). At 12% moisture content it has a Janka hardness of 380 lbf (1,690 N) and it weighs about 24 lb/ft³ (392 kg/m³), 2 lb (0.93 kg) per board foot.

Also called: white pine, northern white pine, Weymouth pine, soft pine.

Key numbers

Janka hardness, 12% MC
380 lbf (1,690 N)
Green: 290 lbf (1,290 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
0.34 on green volume
Shrinkage, green to oven-dry
6.1% tangential
Radial 2.1%, volumetric 8.2%

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

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

Work out what your boards weigh

How much eastern white pine moves

A 12 in wide flatsawn board of eastern white pine that goes from 6% to 12% moisture content swells about 0.15 in (about 5/32 in, 3.9 mm). Quartersawn, the same board moves about 0.05 in (about 1/16 in, 1.3 mm). Flatsawn faces move 2.9 times as much as quartersawn ones, because the wood shrinks 6.1% around the growth rings but only 2.1% across them.

Worked with the Wood Handbook's dimensional change coefficients for eastern white pine (Table 13-5: 0.00212 tangential, 0.00071 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 brown heartwood, often reddish, that darkens in air.
Grain and texture
Straight and fairly uniform.
Working and character
Light, moderately soft, low in strength and stiffness. It kiln-dries easily, shrinks little, is very stable, and is easy to work and glue.
Uses
Patterns, sashes, doors, furniture, interior woodwork, knotty paneling and toys; lower grades for structural lumber.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-13 to 2-14.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of eastern white pine 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)8,600 psi (59 MPa)
Stiffness (MOE)990,000 psi (6.8 GPa)1,240,000 psi (8.5 GPa)
Crushing strength (compression parallel to grain)2,440 psi (17 MPa)4,800 psi (33 MPa)
Compression perpendicular to grain220 psi (2 MPa)440 psi (3 MPa)
Shear parallel to grain680 psi (5 MPa)900 psi (6 MPa)
Tension perpendicular to grain250 psi (2 MPa)310 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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Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured eastern white pine at 380 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