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Woodworking Math

Wood species

Slippery elm wood

Slippery elm is a hardwood (Ulmus rubra). At 12% moisture content it has a Janka hardness of 860 lbf (3,825 N) and it weighs about 37 lb/ft³ (594 kg/m³), 3.1 lb (1.4 kg) per board foot.

Also called: red elm, Ulmus rubra.

Key numbers

Janka hardness, 12% MC
860 lbf (3,825 N)
Green: 660 lbf (2,936 N)
Weight at 12% MC
37 lb/ft³ (594 kg/m³)
3.1 lb per board foot
Specific gravity (oven-dry weight)
0.53 at 12% MC volume
0.48 on green volume
Shrinkage, green to oven-dry
8.9% tangential
Radial 4.9%, volumetric 13.8%

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

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

Work out what your boards weigh

How much slippery elm moves

A 12 in wide flatsawn board of slippery elm that goes from 6% to 12% moisture content swells about 0.23 in (about 7/32 in, 5.8 mm). Quartersawn, the same board moves about 0.12 in (about 1/8 in, 3.1 mm). Flatsawn faces move 1.8 times as much as quartersawn ones, because the wood shrinks 8.9% around the growth rings but only 4.9% across them.

Worked with the Wood Handbook's dimensional change coefficients for slippery elm (Table 13-5: 0.00315 tangential, 0.00169 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 tinged red, and nearly white sapwood.
Working and character
A soft elm, with American elm: moderately heavy, moderately hard and stiff, with high shock resistance. Elm has excellent bending qualities.
Uses
Elm lumber and veneer go mostly into furniture and decorative panels.

The Handbook reports that the diseases killing American elm also affect the other elms, so far less severely.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-6 to 2-7.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of slippery elm 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)8,000 psi (55 MPa)13,000 psi (90 MPa)
Stiffness (MOE)1,230,000 psi (8.5 GPa)1,490,000 psi (10.3 GPa)
Crushing strength (compression parallel to grain)3,320 psi (23 MPa)6,360 psi (44 MPa)
Compression perpendicular to grain420 psi (3 MPa)820 psi (6 MPa)
Shear parallel to grain1,110 psi (8 MPa)1,630 psi (11 MPa)
Tension perpendicular to grain640 psi (4 MPa)530 psi (4 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 slippery elm

Work it out for your project

Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured slippery elm at 860 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 × 0.53 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 37 lb/ft³, or 3.1 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers