If you are looking for a readymade calculator for the usable volume of a wooden log, then click here.
For the calculation procedure, go through the following steps.👇
Let us now calculate the usable volume of a wooden log as shown below.
Given data:
Girth G1 = 32 inches
Girth G2 = 36 inches
Length of the wooden log = L = 14 ft.
Hoppus foot formula for calculating the usable volume of the wooden log
= [(average girth in ft.) ÷ 4]2 × length in ft.
= [G ÷ 4]2 × L
Average girth G
=[ (G1 + G2) ÷ 2]
=[ (32" + 36") ÷ 2]
=[ 68" ÷ 2]
= 34 inches.= 2.833 ft.
Usable volume of the wooden log
= [G ÷ 4]2 × L
= [2.833 ft. ÷ 4]2 × 14 ft.
= [0.7083]2 × 14 ft.
= 0.5017 × 14 ft.
= 7.024 cu ft.
Alternate method
Given data:
Circumference C1 = 32"
Circumference C2 = 36"
Length of the wooden log = 14 ft.
Usable volume of the wooden log
= [ {average circumference in inches}2 × length in ft.] ÷ 2304
= [ {C}2 × L] ÷ 2304
Average circumference C
=[ (C1 + C2) ÷ 2]
=[ (32" + 36") ÷ 2]
=[ 68" ÷ 2]
= 34 inches.
The volume of the wooden log
= [ {C}2 × L] ÷ 2304
= [ {34 inch}2 × 14 ft.] ÷ 2304
= [ 1156 × 14 ft.] ÷ 2304
= 16184 ÷ 2304
= 7.024 cu ft.
Note:
1. In the alternate method, the value of the circumference should be in inches.
2. The second method is also the derivation of the Hoppus foot formula only. Here, the girth is named as a circumference, and the conversion of inches to ft. is avoided by including them in division no. 2304.
3. The wooden logs are not a perfect circle in their cross-section. So, girth is the right word instead of saying it as a circumference.
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❤. What is Hoppus foot in wooden volume calculation?
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