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Woodworking Math

Hand planes: types, sizes and angles

What the common hand planes are for, how long they are, and the angles their blades work at: bevel down in a bench plane, bevel up in a low-angle plane. Each line names the makers behind it.

Bevel down or bevel up, and the cutting angle

  • Bench planes hold the blade bevel down; low-angle planes hold it bevel up, on a bed of about 12°.

    Two sources: Lie-Nielsen Toolworks and Lee Valley (Veritas) , sources [1, 2]

  • On a bevel-up plane the cutting angle is the bed plus the bevel: 12° + 25° = 37°.

    Two sources: Lie-Nielsen Toolworks and Lee Valley (Veritas) , sources [1, 2]

  • Honing a steeper bevel raises it: a 38° bevel on a 12° bed cuts at 50°, which helps in difficult or figured grain.

    Two sources: Lie-Nielsen Toolworks and Lee Valley (Veritas) , sources [1, 2]

  • Use a jack plane on rough stock, a jointer (the longest) to flatten and true, and a smoother last for the finished surface.

    One source: Lie-Nielsen Toolworks, the maker of those planes , sources [1]

Sources

  1. Lie-Nielsen Toolworks, Catalog (2013): bench planes, low angle planes and saws (pp. 6–14, 35–37), read 2026-11-08
  2. Lee Valley (Veritas), Veritas low-angle jack plane: 12° bed, 25° blade, 37° cutting angle, read 2026-11-08

Bevel-down bench planes are traditionally bedded at 45° (common pitch); 50° (York pitch) and 55° (middle pitch) are used for difficult, figured grain.

Traditional rule, stated by Lie-Nielsen Toolworks and Lee Valley (Veritas)

Bench planes by number

Bench planes carry the old Stanley numbers: the higher the number, the longer the plane. These are Lie-Nielsen’s lengths for its own planes; other makers’ planes of the same number are close but not identical.

Lie-Nielsen bench planes
PlaneUseLength
No. 2Small smoother7 1/2 in
No. 4Smoother9 1/2 in
No. 4½Smoother10 3/8 in
No. 5Jack14 in
No. 5½Jack14 3/4 in
No. 62 (low angle)Jack, bevel up at 12°14 in
No. 7Jointer22 in
No. 8Jointer24 in

Sharpening the blade

Bevel angles, the honing method and stone grits are in the sharpening angle guide. Machine planing is in the thickness planer and jointer guides.