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Woodworking Math

Wood species

Jack pine wood

Jack pine is a softwood (Pinus banksiana). At 12% moisture content it has a Janka hardness of 570 lbf (2,535 N) and it weighs about 30 lb/ft³ (482 kg/m³), 2.5 lb (1.14 kg) per board foot.

Also called: scrub pine, gray pine, Pinus banksiana.

Key numbers

Janka hardness, 12% MC
570 lbf (2,535 N)
Green: 400 lbf (1,779 N)
Weight at 12% MC
30 lb/ft³ (482 kg/m³)
2.5 lb per board foot
Specific gravity (oven-dry weight)
0.43 at 12% MC volume
0.40 on green volume
Shrinkage, green to oven-dry
6.6% tangential
Radial 3.7%, volumetric 10.3%

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

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

Work out what your boards weigh

How much jack pine moves

A 12 in wide flatsawn board of jack pine that goes from 6% to 12% moisture content swells about 0.17 in (about 5/32 in, 4.2 mm). Quartersawn, the same board moves about 0.09 in (about 3/32 in, 2.3 mm). Flatsawn faces move 1.8 times as much as quartersawn ones, because the wood shrinks 6.6% around the growth rings but only 3.7% across them.

Worked with the Wood Handbook's dimensional change coefficients for jack pine (Table 13-5: 0.0023 tangential, 0.00126 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 to orange heartwood; nearly white sapwood that can be half the tree or more.
Grain and texture
Rather coarse and somewhat resinous; the lumber is generally knotty.
Working and character
Moderately light, moderately low in bending and compressive strength and in shock resistance, low in stiffness, with moderately low shrinkage.
Uses
Pulpwood, box lumber and pallets; also crossties, mine timber, poles, posts and fuel.

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

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of jack 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)6,000 psi (41 MPa)9,900 psi (68 MPa)
Stiffness (MOE)1,070,000 psi (7.4 GPa)1,350,000 psi (9.3 GPa)
Crushing strength (compression parallel to grain)2,950 psi (20 MPa)5,660 psi (39 MPa)
Compression perpendicular to grain300 psi (2 MPa)580 psi (4 MPa)
Shear parallel to grain750 psi (5 MPa)1,170 psi (8 MPa)
Tension perpendicular to grain360 psi (2 MPa)420 psi (3 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 jack pine

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Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured jack pine at 570 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 × 0.43 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 30 lb/ft³, or 2.5 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers