Doyle Log Rule Calculator

Spike VM

This calculator uses the Doyle Log Rule to estimate the board feet (bf) of lumber in a log based on its diameter inside bark (DIB) at the small end and its length in feet.

Edward Doyle, a New York lumberman, devised the Doyle log rule in 1825. As one of the earliest American log scaling formulas, it was designed to estimate the volume of sawable lumber in hardwood logs, taking into account the thick kerf of early sawmill blades and common slab waste. Though simple and easy to apply in the field, it often underestimates the yield from smaller diameter logs. Despite this, the Doyle rule became widely adopted across the eastern and southern United States and is still used today by many traditional mills.

Doyle Log Rule Calculator

Length of Log in Feet
ft
DIB Log Small End in Inches
inch
Diameter Measured Inside Bark = DIB
Board Feet:
bf

Calculation History


Total Board Feet: 0 bf


Calculator

  1. enter the length of your log in feet
  2. the diameter at the small end inside the bark in inches

Results

  1. he board foot estimate of the logs
  2. Running Total: automatically sums all entries.
  3. Add more logs and use Copy or Download CSV to save your data.
  4. Use Clear History to reset the calculation log and the running total.


Doyle Log Rule Formula

The Doyle Rule estimates board feet in a log using the following formula:

\[ \text{Board Feet} = \frac{(D - 4)^2 \cdot L}{16} \]

Where:

  • \( D \) = Diameter inside bark at the small end (in inches)
  • \( L \) = Length of the log (in feet)

Example Calculation

Given:

  • \( D = 12 \, \text{in} \)
  • \( L = 16 \, \text{ft} \)

Step-by-step:

\[ \begin{align*} \text{Board Feet} &= \frac{(12 - 4)^2 \cdot 16}{16} \\ &= \frac{8^2 \cdot 16}{16} \\ &= \frac{64 \cdot 16}{16} \\ &= 64 \end{align*} \]
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