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Log scale and board feet calculator

Paste the log list from the yard and get board feet by Doyle, Scribner and International 1/4-inch, cubic volume, cords and green tons, with the lot value in the price unit you trade on.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

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The middle is optional (leave the cell empty): without it, Huber uses the average of the ends and Newton falls back to Smalian. With circumferences, use the same columns, in inches. The list always uses inches and feet, even in metric mode. For log rules, enter the scaling length (net of trim).

Conversions and price
—Log scale
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Total cubic volume by method

Same logs, inside bark, by the four formulas.

Tap the chart to see the values.

Volume by diameter class

Main-method volume grouped by small-end diameter inside bark (2-inch classes).

Tap the chart to see the values.

Board feet by log rule

Total of the list by each rule, and the cubic volume times 12 (the most lumber a log could hold with no saw kerf or slabs).

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Volume of each log

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Method, assumptions and references

Equations used

Section area: g = π · d² ÷ 4 (d inside bark = d measured − 2 · bark; from circumference, d = C ÷ π)
Smalian: V = (g₁ + g₂) ÷ 2 · L; Huber: V = g_mid · L; Newton: V = (g₁ + 4 · g_mid + g₂) ÷ 6 · L
Francon (quarter girth): V = (C_mid ÷ 4)² · L
Stacked volume = V · stacking factor; cords = stacked ft³ ÷ 128; green weight = V · green density
Board feet (D = small-end diameter inside bark, in; L in ft): Doyle = (D − 4)² · L ÷ 16; Scribner Decimal C = official table (8, 12, 16 and 20 ft, interpolated between lengths; outside 6 to 40 in, (0.79 · D² − 2 · D − 4) · L ÷ 16); International 1/4" = Σ 0.905 · (0.22 · Dᵢ² − 0.71 · Dᵢ) per 4-ft section, with Dᵢ = D + 0.5 · i

Assumptions and limits

  • Bark thickness is uniform along the log. Without a mid reading, Huber and the quarter-girth rule use the end average and Newton equals Smalian.
  • For log rules, the small-end diameter is rounded to the nearest inch and length down to the whole foot; logs over 20 ft are split into segments for Doyle and Scribner using the measured taper. Scribner Decimal C comes from the Idaho Board of Scaling Practices table for 8, 12, 16 and 20 ft, interpolated for other lengths (the official table for those lengths can differ by 10 bf); trim allowance, defect deductions and the official segment rules are not applied.
  • Stacking factor and green density are editable averages that depend on species, diameter, stacking and drying time in the yard. Defects (rot, sweep, crook) are not deducted.

Standards and technical documents

  • Machado, S. A.; Figueiredo Filho, A. Dendrometria. 2. ed. Guarapuava: Unicentro, 2006
  • Avery, T. E.; Burkhart, H. E. Forest Measurements, 5th ed. McGraw-Hill, 2002
  • USDA Forest Service. National Forest Log Scaling Handbook, FSH 2409.11 (Scribner Decimal C)
  • Cassens, D. Log and Tree Scaling Techniques. Purdue Extension FNR-191 (Doyle, Scribner and International 1/4-inch tables)
  • Idaho Board of Scaling Practices. Scribner Decimal C volume table
  • EN 1309-2: Round and sawn timber — Method of measurement of dimensions — Part 2: Round timber — Requirements for measurement and volume calculation rules

U.S. regulations

  • Lacey Act (16 U.S.C. 3371–3378, as amended in 2008): legal origin of timber and wood products
  • State log scaling laws and official scaling bureaus (for example, Idaho Board of Scaling Practices) for scaling used in payment

Frequently asked questions

What does this calculator do?

It scales a list of logs in board feet by the three common US log rules (Doyle, Scribner Decimal C and International 1/4-inch) and in cubic volume by Smalian, Huber and Newton. It also converts to cords and green tons and prices the lot per MBF, cord or ton. Use it to check a load, compare offers or estimate a timber sale.

Why do Doyle, Scribner and International give different numbers?

Each rule assumes a different saw kerf, slab allowance and taper. Doyle subtracts 4 in from the diameter, so it underestimates small logs; International 1/4-inch adds 1/2 in of taper every 4 ft and is close to a good mill’s output. In the example, the 13 logs scale 913 bf Doyle, 1,100 bf Scribner Decimal C and 1,234 bf International.

How do I measure logs for scaling?

Measure the small-end diameter inside bark, averaging two readings at right angles, and round to the nearest inch. Use the scaling length net of trim allowance, in whole feet. For cubic formulas, also read the large end and the middle; leave the middle blank if you do not have it.

How do I read the example result?

The lot of 13 southern pine logs scales 1,234 bf by International 1/4-inch, or 192 ft³ of solid wood, about 2.2 cords stacked and 5.9 green short tons. At $300 per MBF, the lot is worth about $370. On Doyle the same logs would be 913 bf, so a Doyle price must be about 35% higher per MBF to pay the same.

Which log rule should I use?

Use the rule written in your contract or customary in your region: Doyle is common in the South and Midwest, Scribner Decimal C in the West and on federal timber, and International 1/4-inch in some Northeastern states and for research. Compare prices only on the same rule.

What are the limits of this calculator?

Scribner Decimal C uses the official table for 8, 12, 16 and 20 ft and interpolates other lengths, which can differ by 10 bf from the official value. Defect deductions (rot, sweep, crook, splits), trim rules and official segment rules for long logs are not applied. Green weight depends on moisture, which changes with time in the yard.

How many board feet are in a cord?

A cord is 128 ft³ of stacked wood, with roughly 80 to 90 ft³ of solid wood depending on the stacking factor. There is no fixed conversion to board feet, because log rules depend on log size; for sawlogs, scale them by a log rule instead of converting cords.