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Woodworking Math

Wood species

Southern red oak wood

Southern red oak is a hardwood (Quercus falcata). At 12% moisture content it has a Janka hardness of 1,060 lbf (4,715 N) and it weighs about 41 lb/ft³ (661 kg/m³), 3.4 lb (1.56 kg) per board foot.

Also called: Quercus falcata.

Key numbers

Janka hardness, 12% MC
1,060 lbf (4,715 N)
Green: 860 lbf (3,825 N)
Weight at 12% MC
41 lb/ft³ (661 kg/m³)
3.4 lb per board foot
Specific gravity (oven-dry weight)
0.59 at 12% MC volume
0.52 on green volume
Shrinkage, green to oven-dry
11.3% tangential
Radial 4.7%, volumetric 16.1%

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

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

Work out what your boards weigh

How much southern red oak moves

A 12 in wide flatsawn board of southern red oak that goes from 6% to 12% moisture content swells about 0.3 in (about 5/16 in, 7.6 mm). Quartersawn, the same board moves about 0.12 in (about 1/8 in, 3 mm). Flatsawn faces move 2.4 times as much as quartersawn ones, because the wood shrinks 11.3% around the growth rings but only 4.7% across them.

Worked from the Wood Handbook's shrinkage values (Table 4-3) with its Eq. 13-4. 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 southern red 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)6,900 psi (48 MPa)10,900 psi (75 MPa)
Stiffness (MOE)1,140,000 psi (7.9 GPa)1,490,000 psi (10.3 GPa)
Crushing strength (compression parallel to grain)3,030 psi (21 MPa)6,090 psi (42 MPa)
Compression perpendicular to grain550 psi (4 MPa)870 psi (6 MPa)
Shear parallel to grain930 psi (6 MPa)1,390 psi (10 MPa)
Tension perpendicular to grain480 psi (3 MPa)510 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 southern red oak

Work it out for your project

Why these numbers

Why these numbers?
  1. The situation

    The USDA Forest Products Laboratory measured southern red oak at 1,060 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 × 0.59 × 1.12.

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 41 lb/ft³, or 3.4 lb per board foot (1/12 ft³), at 12% moisture content.

    Arithmetic: exact by definition

How we source these numbers