Enter the length of the tree (in) and the tree diameter inside bark (in) into the Calculator. The calculator will evaluate the Lumber Yield. 

Lumber Yield Formula

LY = [L*(D-4)*(D-4)]/16

Variables:

  • LY is the Lumber Yield (in^3)
  • L is the length of the tree (in)
  • D is the tree diameter inside bark (in)

How to Calculate Lumber Yield?

The following steps outline how to calculate the Lumber Yield.


  1. First, determine the length of the tree (in). 
  2. Next, determine the tree diameter inside bark (in). 
  3. Next, gather the formula from above = LY = [L*(D-4)*(D-4)]/16.
  4. Finally, calculate the Lumber Yield.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

length of the tree (in) = 16

tree diameter inside bark (in) = 6

FAQ

What is Lumber Yield?

Lumber Yield refers to the volume of usable wood that can be obtained from a tree, measured in cubic inches (in3). It is calculated based on the length and diameter of the tree, factoring in adjustments for the bark.

Why do we subtract 4 inches from the diameter in the Lumber Yield formula?

The subtraction of 4 inches from the diameter in the Lumber Yield formula accounts for the thickness of the tree’s bark and ensures the calculation only considers the usable wood inside the bark, which is relevant for lumber processing.

Can the Lumber Yield formula be used for any type of tree?

While the formula provides a general method for calculating the yield of lumber from trees, the accuracy can vary depending on the type of tree and its specific characteristics, such as bark thickness and wood density. It’s a useful starting point but may need adjustments for specific species.

How does the length of the tree affect the Lumber Yield?

The length of the tree directly influences the Lumber Yield as it is a measure of the total volume of wood available. A longer tree will generally produce a higher yield of lumber, assuming the diameter and other conditions are similar.