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Woodworking Math

Wood species

Atlantic white cedar wood

Atlantic white cedar is a softwood (Chamaecyparis thyoides). At 12% moisture content it has a Janka hardness of 350 lbf (1,557 N) and it weighs about 22 lb/ft³ (358 kg/m³), 1.9 lb (0.85 kg) per board foot.

Also called: Atlantic white-cedar, southern white-cedar, swamp-cedar, boat-cedar.

Key numbers

Janka hardness, 12% MC
350 lbf (1,557 N)
Green: 290 lbf (1,290 N)
Weight at 12% MC
22 lb/ft³ (358 kg/m³)
1.9 lb per board foot
Specific gravity (oven-dry weight)
0.32 at 12% MC volume
0.31 on green volume
Shrinkage, green to oven-dry
5.4% tangential
Radial 2.9%, volumetric 8.8%

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

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

Work out what your boards weigh

How much Atlantic white cedar moves

A 12 in wide flatsawn board of Atlantic white-cedar that goes from 6% to 12% moisture content swells about 0.13 in (about 1/8 in, 3.4 mm). Quartersawn, the same board moves about 0.07 in (about 1/16 in, 1.8 mm). Flatsawn faces move 1.9 times as much as quartersawn ones, because the wood shrinks 5.4% around the growth rings but only 2.9% across them.

Worked with the Wood Handbook's dimensional change coefficients for Atlantic white-cedar (Table 13-5: 0.00187 tangential, 0.00099 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 and narrow white sapwood.
Working and character
Light, rather soft, low in strength and shock resistance, with little shrinkage. Easy to work, holds paint well, and the heartwood resists decay strongly.
Uses
Boats, shingles, posts, poles, cabin logs, decorative fencing and water tanks.

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

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of Atlantic white-cedar 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)4,700 psi (32 MPa)6,800 psi (47 MPa)
Stiffness (MOE)750,000 psi (5.2 GPa)930,000 psi (6.4 GPa)
Crushing strength (compression parallel to grain)2,390 psi (16 MPa)4,700 psi (32 MPa)
Compression perpendicular to grain240 psi (2 MPa)410 psi (3 MPa)
Shear parallel to grain690 psi (5 MPa)800 psi (6 MPa)
Tension perpendicular to grain180 psi (1 MPa)220 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 Atlantic white-cedar at 350 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 × 0.32 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 22 lb/ft³, or 1.9 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers