The formula to calculate the Board Feet (BF) using the Doyle Log Scale is:
\[ BF = \frac{(D - 4)^2 \times L}{16} \]
Where:
The Doyle Log Scale is a logarithmic scale used to estimate the amount of lumber, measured in board feet, that can be sawn from a log. It is one of the most common log scales in the United States, particularly in the eastern part of the country. The scale is based on empirical measurements and takes into account the kerf (cut width) and slab loss (outer part of the log that is discarded) during milling. It tends to underestimate the yield for smaller logs and overestimate for larger logs compared to other scales like the International 1/4-inch or Scribner scales.
Let's assume the following values:
Using the formula to calculate the Board Feet (BF):
\[ BF = \frac{(12 - 4)^2 \times 16}{16} = 64 \text{ board feet} \]
The Board Feet (BF) is 64 board feet.