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Woodworking Math

Bandsaw blade length calculator

Give the wheel size and the distance between the wheel centres to get the blade length to order. Then give the thickness of the stock and the tightest curve you will cut: you get the teeth per inch three blade makers recommend and the widest blade that turns the curve.

Blade length

The size the saw is sold as: a 14 in bandsaw has 14 in wheels.
Axle to axle, with the upper wheel at the middle of its tension travel.

Blade for the job

Wood
Half the width of the smallest circle in the pattern.

Blade length

93 1/2 in

93.48 in = 2,374 mm

Why: π × 14 in + 2 × 24.75 in = 43.98 + 49.5 = 93.48 in of blade.

Teeth per inch for 2 in hardwood

  • Timber Wolf rates: 6 TPI
  • Grizzly, at least 3 teeth in the cut: at least 1.5 TPI
  • Laguna, 6–8 teeth engaged: 3–4 TPI

The two teeth-in-the-cut rules differ about 2×; Timber Wolf's chart sits between them.

Widest blade for a 2 in radius

3/8 in (turns 1 1/4 in, median of 3 makers)

Median of 3 sources

Why these numbers?
  1. The situation

    Wheels 14 in across, their centres 24.75 in apart with the upper wheel at the middle of its travel.

    From your input: the wheel size and centre distance

  2. What that means

    The blade wraps half of each wheel, which together make one full circumference (π × diameter), and runs straight between them twice (2 × the centre distance).

    Arithmetic: exact by definition

  3. So

    π × 14 = 43.982 in; 2 × 24.75 = 49.5 in; together 93.482 in = 2,374.5 mm.

    Arithmetic: exact by definition

  4. The number

    To check a blade you already have: mark the blade and the floor, roll the blade one full turn, mark the floor again and measure between the marks.

    One source: Laguna Tools, a bandsaw and blade maker, in its blade manual , sources [1]

How we source these numbers

How a bandsaw blade length is worked out

Blade length is the circumference of one wheel (π × diameter: half of each of the two wheels) plus twice the distance between the wheel centres, measured with the upper wheel at the middle of its tension travel. To check a blade you have, Laguna marks it and the floor, rolls it one turn and measures between the marks.

For a 14 inch saw with its wheels 24 3/4 inches apart, π × 14 is 43.98 inches and twice 24 3/4 is 49 1/2, so the blade is 93.48 inches, the 93 1/2 inch blade most 14 inch saws take. Wheels on the same saw are the same size; if your saw's manual gives a blade length, it is the one to order, and the tension screw takes up the difference.

Teeth per inch follow the stock: thicker wood needs fewer, larger teeth so each gullet can carry its sawdust out of the cut. Grizzly asks for at least three teeth in the wood at all times and Laguna for six to eight, about twice as many, so both answers are shown, with Timber Wolf's chart of which pitch suits which thickness between them.

The widest blade for a curve comes from the radius charts of Laguna, Timber Wolf and Grizzly; the median of the three is used. The full charts, each maker's way of setting tension and resawing notes are in the bandsaw blade guide.