Compare three methods from the same input
Switch between Smalian, Huber, and Newton without re-entering the same log measurements.
Log Volume Calculator (Smalian, Huber, Newton)
Calculate log volume in the browser from length and butt/top diameters.
Switch between Smalian, Huber, and Newton, while keeping regional rules in separate add-on packs.
Compare all three methods in one view
Toggle between m³ and ft³
Keep inputs on the device only
Formulas
Local processingA(d) = π × d² / 4
Smalian: V = L × (A_butt + A_top) / 2
Huber: V = L × A_mid
Newton: V = L × (A_butt + 4A_mid + A_top) / 6
Default midpoint estimate: d_mid = (d_butt + d_top) / 2
What this tool does
Work across global unit presets
Use metric, imperial, or mixed defaults, and still edit each unit separately if needed.
Estimate midpoint diameter transparently
Huber and Newton can use an estimated midpoint when you do not enter one yourself.
Keep regional packs separate
Doyle, Scribner, and International 1/4 stay in the pack panel so the core result stays universal.
How to use
-
1
Enter length, butt diameter, and top diameter.
-
2
Choose Smalian, Huber, or Newton.
-
3
Add a midpoint diameter or let the tool estimate one for Huber and Newton.
-
4
Review the comparison table and any regional pack notes.
Sample cases
Typical metric log
Input / OutputInput: Length 4 m, butt diameter 28 cm, top diameter 18 cm, count 20, method Smalian
Output: About 0.174 m³ per log, about 3.48 m³ total
Huber with midpoint
Input / OutputInput: Length 4 m, butt diameter 28 cm, top diameter 18 cm, midpoint diameter 23 cm, method Huber
Output: About 0.166 m³ per log, about 3.32 m³ total
Imperial check
Input / OutputInput: Length 16 ft, butt diameter 11 in, top diameter 7 in, count 10, method Newton
Output: About 7.18 ft³ per log, about 71.8 ft³ total
Glossary
Butt diameter
The diameter at the thicker end of the log.
Top diameter
The diameter at the thinner end of the log.
Midpoint diameter
A diameter near the middle of the log, used for Huber and Newton.
Smalian
A formula that uses the average of the butt and top areas.
Huber
A formula that uses the midpoint area.
Newton
A formula that blends butt, midpoint, and top areas.
Board feet
A regional unit used by some add-on packs. It is not the same thing as cubic meters.
FAQ
Can I calculate Huber or Newton without a midpoint diameter?
Yes. The tool estimates a midpoint diameter and keeps going. You can overwrite it in the advanced midpoint section.
What if I mixed up the butt and top diameters?
Use the swap button to correct them. The tool still warns you if the values look reversed.
Are Doyle, Scribner, and International 1/4 included?
They are separated into add-on pack placeholders. The core result is always based on cubic volume.
Can I switch between metric and imperial units?
Yes. Metric, imperial, and mixed presets are available, and each unit can also be edited separately.
Does the page send my measurements to a server?
No. The calculations stay in the browser, and local save is optional.
Notes
- The midpoint diameter is marked as estimated whenever the tool has to infer it.
- Regional pack board-foot values are separate from the cubic-volume result.
- Check the diameter basis carefully when you compare results across regions.