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Woodworking Math

Wood species

Andiroba wood

Andiroba is a hardwood (Carapa guianensis). At 12% moisture content it has a Janka hardness of 1,130 lbf (5,026 N) and it weighs about 40 lb/ft³ (645 kg/m³), 3.4 lb (1.52 kg) per board foot.

Also called: crabwood, carapa, cedro macho, tangare.

Key numbers

Janka hardness, 12% MC
1,130 lbf (5,026 N)
Green: 880 lbf (3,914 N)
Weight at 12% MC
40 lb/ft³ (645 kg/m³)
3.4 lb per board foot
Specific gravity (oven-dry weight)
0.54 on green volume
Shrinkage, green to oven-dry
7.6% tangential
Radial 3.1%, volumetric 10.4%

One source: USDA Forest Products Laboratory, collected from the world literature (its Tables 5-5 and 4-4)

Why: From the USDA Wood Handbook, which collected these values from the world literature; andiroba's density is worked from its specific gravity with the Handbook's own equations.

Work out what your boards weigh

How much andiroba moves

A 12 in wide flatsawn board of andiroba that goes from 6% to 12% moisture content swells about 0.19 in (about 3/16 in, 4.9 mm). Quartersawn, the same board moves about 0.08 in (about 1/16 in, 1.9 mm). Flatsawn faces move 2.5 times as much as quartersawn ones, because the wood shrinks 7.6% around the growth rings but only 3.1% across them.

Worked from the Wood Handbook's shrinkage values (Table 4-4) with its Eq. 13-4; the Handbook gives no movement coefficients for imported woods. 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
Medium to dark reddish brown heartwood.
Grain and texture
Texture like true mahogany, usually interlocked grain.
Working and character
Heavier than true mahogany and stronger in bending, crushing, hardness and shear; easy to work, paint and glue, and durable against decay and insects.
Uses
Flooring, framing in the tropics, furniture and cabinetwork, millwork, veneer and plywood; sometimes substituted for mahogany.

Adapted in our own words from the Wood Handbook, Chapter 2, p. 2-20.

Strength

Bending strength is the modulus of rupture (MOR); stiffness is the modulus of elasticity (MOE). Values for andiroba from Wood Handbook Table 5-5b (p. 5-22), which the Handbook says were collected from the world literature, on clear, straight-grained specimens. Knots and cross grain make lumber weaker than these clear samples (Handbook Chapter 5).

PropertyGreen12% MC
Bending strength (MOR)10,300 psi (71 MPa)15,500 psi (107 MPa)
Stiffness (MOE)1,690,000 psi (11.7 GPa)2,000,000 psi (13.8 GPa)
Crushing strength (compression parallel to grain)4,780 psi (33 MPa)8,120 psi (56 MPa)
Shear parallel to grain1,220 psi (8 MPa)1,510 psi (10 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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Why these numbers

Why these numbers?
  1. The situation

    The Wood Handbook prints 1,130 lbf of side hardness at 12% moisture content for andiroba, a value it says was collected from the world literature (Table 5-5b, p. 5-22).

    One source: USDA Forest Products Laboratory, collected from the world literature (its Tables 5-5 and 4-4) , 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, collected from the world literature (its Tables 5-5 and 4-4) , sources [1]

  3. So

    The Handbook gives only the green specific gravity (0.54) for andiroba, so it is moved to 12% with the volumetric shrinkage of 10.4% (Eqs. 4-9 and 4-11), then multiplied by water's density and 1.12 (Eq. 4-14).

    Arithmetic: exact by definition , sources [1]

  4. The number

    About 40 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