Skip to content
Woodworking Math

Wood species

Fir wood

Fir is a softwood; this page covers the true firs (eastern and western), led by white fir (Abies concolor). At 12% moisture content it has a Janka hardness of 480 lbf (2,135 N) and it weighs about 27 lb/ft³ (437 kg/m³), 2.3 lb (1.03 kg) per board foot.

Names and species on this page: true fir, white fir, balsam fir, grand fir, noble fir, Pacific silver fir.

Key numbers

Janka hardness, 12% MC
480 lbf (2,135 N)
Green: 340 lbf (1,512 N)
Weight at 12% MC
27 lb/ft³ (437 kg/m³)
2.3 lb per board foot
Specific gravity (oven-dry weight)
0.39 at 12% MC volume
0.37 on green volume
Shrinkage, green to oven-dry
7.0% tangential
Radial 3.3%, volumetric 9.8%

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

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

Work out what your boards weigh

How much fir moves

A 12 in wide flatsawn board of white fir that goes from 6% to 12% moisture content swells about 0.18 in (about 3/16 in, 4.5 mm). Quartersawn, the same board moves about 0.08 in (about 3/32 in, 2 mm). Flatsawn faces move 2.1 times as much as quartersawn ones, because the wood shrinks 7.0% around the growth rings but only 3.3% across them.

Worked with the Wood Handbook's dimensional change coefficients for white fir (Table 13-5: 0.00245 tangential, 0.00112 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
Creamy white to pale brown; heartwood and sapwood are generally indistinguishable.
Grain and texture
The true firs can’t be told apart by the wood alone; western species are sold together as “white fir”.
Working and character
Light and soft. Balsam fir is low in strength; the western firs except subalpine are somewhat stronger. Shrinkage is low to fairly high.
Uses
Framing, subflooring, sheathing, boxes, millwork, sashes and doors; high-grade noble fir for interior woodwork and molding.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-12.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Clear, straight-grained samples of white fir 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)5,900 psi (41 MPa)9,800 psi (68 MPa)
Stiffness (MOE)1,160,000 psi (8 GPa)1,500,000 psi (10.3 GPa)
Crushing strength (compression parallel to grain)2,900 psi (20 MPa)5,800 psi (40 MPa)
Compression perpendicular to grain280 psi (2 MPa)530 psi (4 MPa)
Shear parallel to grain760 psi (5 MPa)1,100 psi (8 MPa)
Tension perpendicular to grain300 psi (2 MPa)300 psi (2 MPa)

A dash means the Handbook prints no value; none is filled in.

The true firs (eastern and western)

The Handbook tests each species separately; they are sold together as fir. Across the 7 species measured, Janka hardness at 12% runs from 350 to 500 lbf.

SpeciesJanka, 12% MCWeight, 12% MCTangential shrinkage
White firAbies concolor480 lbf27 lb/ft³7.0%
Balsam firAbies balsamea380 lbf24 lb/ft³6.9%
Grand firAbies grandis490 lbf26 lb/ft³7.5%
Noble firAbies procera410 lbf27 lb/ft³8.3%
Pacific silver firAbies amabilis430 lbf30 lb/ft³9.2%
California red firAbies magnifica500 lbf27 lb/ft³7.9%
Subalpine firAbies lasiocarpa350 lbf22 lb/ft³7.4%

Dust and health

This is what the named authorities publish, not medical advice.

Compare with

Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured white fir at 480 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 × 0.39 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 27 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