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Woodworking Math

Wood species

Sassafras wood

Sassafras is a hardwood (Sassafras albidum). It weighs about 32 lb/ft³ (515 kg/m³), 2.7 lb (1.22 kg) per board foot.

Key numbers

Janka hardness, 12% MC
Not measured
Weight at 12% MC
32 lb/ft³ (515 kg/m³)
2.7 lb per board foot
Specific gravity (oven-dry weight)
0.46 at 12% MC volume
0.42 on green volume
Shrinkage, green to oven-dry
6.2% tangential
Radial 4.0%, volumetric 10.3%

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

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

Work out what your boards weigh

How much sassafras moves

A 12 in wide flatsawn board of sassafras 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, 2.5 mm). Flatsawn faces move 1.6 times as much as quartersawn ones, because the wood shrinks 6.2% around the growth rings but only 4.0% across them.

Worked with the Wood Handbook's dimensional change coefficients for sassafras (Table 13-5: 0.00216 tangential, 0.00137 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 yellow sapwood; heartwood dull grayish brown to dark brown, sometimes reddish.
Grain and texture
Looks much like black ash in color, grain and texture. Fresh-cut surfaces have a distinctive smell.
Working and character
Moderately heavy and moderately hard, quite high in shock resistance, and decay resistant.
Uses
Small boats, fence posts and rails, and general millwork.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-9.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of sassafras 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)9,000 psi (62 MPa)
Stiffness (MOE)910,000 psi (6.3 GPa)1,120,000 psi (7.7 GPa)
Crushing strength (compression parallel to grain)2,730 psi (19 MPa)4,760 psi (33 MPa)
Compression perpendicular to grain370 psi (3 MPa)850 psi (6 MPa)
Shear parallel to grain950 psi (7 MPa)1,240 psi (9 MPa)
Tension perpendicular to grain——

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 Wood Handbook prints no side hardness for sassafras (Table 5-3b shows "—"), so none is given here.

    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 × 0.46 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 32 lb/ft³, or 2.7 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers