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Log yield calculator

Log yield calculator

Small-end diameter, length, number of logs and sawmill recovery: you get log volume, estimated sawn lumber and board feet, including the Doyle log rule.

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Estimated sawn lumber

0.25 m³

  • Estimated sawn lumber0.25 m³
  • Log volume0.5 m³
  • Board feet (recovery)106.51 bd ft
  • Board feet (Doyle rule)113.2 bd ft

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How it's calculated (visible formula)

log = π/4 × D² × L × logs; sawn = log × recovery; Doyle = (D_in − 4)² × L_ft ÷ 16

See methodology and formula versions

How to calculate it, step by step

  1. Measure small-end diameter inside the bark.
  2. Measure log length, less trim allowance.
  3. Work out log volume as a cylinder.
  4. Apply sawmill recovery for the diameter and cutting pattern.
  5. Compare with the Doyle rule if trading in board feet.

Worked example: 15¾ in (40 cm) × 13 ft log, 50% recovery

  1. Log volume ≈ 0.5 m³
  2. × 50% ≈ 0.25 m³ sawn
  3. ≈ 107 bd ft; Doyle ≈ 113 bd ft

→ About 0.25 m³ (107 board feet) of lumber.

Common mistakes

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FAQs

What recovery does a sawmill get?
About 45–60% depending on diameter, taper and cutting pattern.
What is the Doyle log rule?
A classic US scale for board feet; it under-scales small logs. Scribner and International ¼ are alternatives.
Where do I measure diameter?
At the small end, inside the bark.
What is the Doyle rule?
A US log scale for board feet; it under-scales small logs.
Doyle vs Scribner vs International?
International ¼ in is closest to actual yield; Doyle is most conservative.
How much does lumber shrink when drying?
About 5–10% by volume down to 12% moisture, most of it tangentially.

Sources and standards

Maintained by · Formula v1.0.0 · Verified 2026-09-10 · Updated 2026-09-10 · Limits: quantity estimation, not structural design or site supervision.