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Scribner's Log Rule

Scribner's log rule is a tool for use in the estimation of standing timber volume.

The volume of wood increases linearly with the length of the log and quatractically with the diameter.

Formula

QuantityVariable["V", "Volume"] == Quantity[1, "BoardFeet"]*(Quantity[-0.269, "Feet"^(-1)]*QuantityVariable["L", "Length"] + Quantity[-0.124, "Feet"^(-1)]*QuantityVariable["d", "Diameter"]*QuantityVariable["L", "Length"] + Quantity[7.1136, "Feet"^(-3)]*QuantityVariable["d", "Diameter"]^2*QuantityVariable["L", "Length"])

symbol description physical quantity
V volume "Volume"
L length "Length"
d diameter "Diameter"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Scribner's Log Rule"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Scribner's Log Rule"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Scribner's Log Rule"], {QuantityVariable["d","Diameter"] -> 
   Quantity[16, "Inches"]}]
Out[3]=

Publisher Information