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Woodworking Math

Wood species

Ponderosa pine wood

Ponderosa pine is a softwood (Pinus ponderosa). At 12% moisture content it has a Janka hardness of 460 lbf (2,046 N) and it weighs about 28 lb/ft³ (448 kg/m³), 2.3 lb (1.06 kg) per board foot.

Also called: western yellow pine, Jeffrey pine.

Key numbers

Janka hardness, 12% MC
460 lbf (2,046 N)
Green: 320 lbf (1,423 N)
Weight at 12% MC
28 lb/ft³ (448 kg/m³)
2.3 lb per board foot
Specific gravity (oven-dry weight)
0.40 at 12% MC volume
0.38 on green volume
Shrinkage, green to oven-dry
6.2% tangential
Radial 3.9%, volumetric 9.7%

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

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

Work out what your boards weigh

How much ponderosa pine moves

A 12 in wide flatsawn board of ponderosa pine that goes from 6% to 12% moisture content swells about 0.16 in (about 5/32 in, 4 mm). Quartersawn, the same board moves about 0.1 in (about 3/32 in, 2.4 mm). Flatsawn faces move 1.6 times as much as quartersawn ones, because the wood shrinks 6.2% around the growth rings but only 3.9% across them.

Worked with the Wood Handbook's dimensional change coefficients for ponderosa pine (Table 13-5: 0.00216 tangential, 0.00133 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 reddish-brown heartwood and wide, nearly white to pale yellow sapwood.
Grain and texture
Generally straight and quite uniform, with little tendency to warp or twist.
Working and character
Moderately light, soft and fairly weak, with fairly low shrinkage.
Uses
Sashes, doors, molding, paneling, cabinets and knotty interior woodwork; lower grades for sheathing and boxes.

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 ponderosa 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)5,100 psi (35 MPa)9,400 psi (65 MPa)
Stiffness (MOE)1,000,000 psi (6.9 GPa)1,290,000 psi (8.9 GPa)
Crushing strength (compression parallel to grain)2,450 psi (17 MPa)5,320 psi (37 MPa)
Compression perpendicular to grain280 psi (2 MPa)580 psi (4 MPa)
Shear parallel to grain700 psi (5 MPa)1,130 psi (8 MPa)
Tension perpendicular to grain310 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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Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured ponderosa pine at 460 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 × 0.40 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 28 lb/ft³, or 2.3 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers