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Woodworking Math

Wood species

Rock elm wood

Rock elm is a hardwood (Ulmus thomasii). At 12% moisture content it has a Janka hardness of 1,320 lbf (5,872 N) and it weighs about 44 lb/ft³ (706 kg/m³), 3.7 lb (1.67 kg) per board foot.

Also called: cork elm, Ulmus thomasii.

Key numbers

Janka hardness, 12% MC
1,320 lbf (5,872 N)
Green: 940 lbf (4,181 N)
Weight at 12% MC
44 lb/ft³ (706 kg/m³)
3.7 lb per board foot
Specific gravity (oven-dry weight)
0.63 at 12% MC volume
0.57 on green volume
Shrinkage, green to oven-dry
8.1% tangential
Radial 4.8%, volumetric 14.9%

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

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

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How much rock elm moves

A 12 in wide flatsawn board of rock elm that goes from 6% to 12% moisture content swells about 0.21 in (about 7/32 in, 5.2 mm). Quartersawn, the same board moves about 0.12 in (about 1/8 in, 3 mm). Flatsawn faces move 1.7 times as much as quartersawn ones, because the wood shrinks 8.1% around the growth rings but only 4.8% across them.

Worked with the Wood Handbook's dimensional change coefficients for rock elm (Table 13-5: 0.00285 tangential, 0.00165 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).

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Color, grain and working

Color
Light brown heartwood, often tinged red, and nearly white sapwood.
Working and character
A hard elm: somewhat heavier than the soft elms (American and slippery). Elm has excellent bending qualities.
Uses
Hard elm is preferred where strength is needed; elm lumber and veneer go mostly into furniture and decorative panels.

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 rock 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)9,500 psi (66 MPa)14,800 psi (102 MPa)
Stiffness (MOE)1,190,000 psi (8.2 GPa)1,540,000 psi (10.6 GPa)
Crushing strength (compression parallel to grain)3,780 psi (26 MPa)7,050 psi (49 MPa)
Compression perpendicular to grain610 psi (4 MPa)1,230 psi (8 MPa)
Shear parallel to grain1,270 psi (9 MPa)1,920 psi (13 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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Buying and finishing rock elm

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Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured rock elm at 1,320 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 × 0.63 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 44 lb/ft³, or 3.7 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers