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Woodworking Math

Wood species

Pin oak wood

Pin oak is a hardwood (Quercus palustris). At 12% moisture content it has a Janka hardness of 1,510 lbf (6,717 N) and it weighs about 44 lb/ft³ (706 kg/m³), 3.7 lb (1.67 kg) per board foot.

Also called: Quercus palustris.

Key numbers

Janka hardness, 12% MC
1,510 lbf (6,717 N)
Green: 1,070 lbf (4,760 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
0.58 on green volume
Shrinkage, green to oven-dry
9.5% tangential
Radial 4.3%, volumetric 14.5%

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

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

Work out what your boards weigh

How much pin oak moves

A 12 in wide flatsawn board of pin oak that goes from 6% to 12% moisture content swells about 0.24 in (about 1/4 in, 6.2 mm). Quartersawn, the same board moves about 0.11 in (about 3/32 in, 2.7 mm). Flatsawn faces move 2.2 times as much as quartersawn ones, because the wood shrinks 9.5% around the growth rings but only 4.3% across them.

Worked with the Wood Handbook's dimensional change coefficients for pin oak (Table 13-5: 0.00338 tangential, 0.00148 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
Brown heartwood with a tinge of red; nearly white sapwood about 1 to 2 in. wide.
Grain and texture
Open pores without tyloses, and broad, conspicuous rays on quartersawn faces.
Working and character
Heavy, with fairly high shrinkage on drying; fast-grown second-growth wood is generally harder and tougher than old growth. The open pores make it unsuitable for tight barrels unless they are lined.
Uses
Red oak lumber goes into flooring, furniture, millwork, pallets, implements, caskets, wooden ware and handles.

The Handbook says sawn red oak lumber cannot be told apart by species, so this oak is sold as red oak; the table gives its own tested figures.

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 pin oak 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)8,300 psi (57 MPa)14,000 psi (97 MPa)
Stiffness (MOE)1,320,000 psi (9.1 GPa)1,730,000 psi (11.9 GPa)
Crushing strength (compression parallel to grain)3,680 psi (25 MPa)6,820 psi (47 MPa)
Compression perpendicular to grain720 psi (5 MPa)1,020 psi (7 MPa)
Shear parallel to grain1,290 psi (9 MPa)2,080 psi (14 MPa)
Tension perpendicular to grain800 psi (6 MPa)1,050 psi (7 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.

Compare with

Buying and finishing pin oak

Work it out for your project

Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured pin oak at 1,510 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