Log Taper CalculatorDiameter Change and Form Factor Analysis
Calculate log taper rate, IS 1902 taper class, form factor, and volume loss due to taper. Essential for quality grading, sawmill yield planning and purchase price negotiation.
Why this calculation matters
Taper decides which volume formula is honest and how much width you can expect from the butt versus the top.
Log Taper Calculator
Diameter Change and Form Factor Analysis
This picker does not change the answer. Taper depends only on the dimensions you enter, not on the species — that is what makes it a rule rather than an estimate. The species is here so you can note it on a printout.
Leave 0 to auto-calculate as average of two ends.
Class 1: <=0.5 cm/m (slight)
Class 2: 0.5-1.5 cm/m (moderate)
Class 3: >1.5 cm/m (excessive)
| Measurement | Value | Method | Note |
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About Log Taper Calculator
Taper is the reduction in diameter from butt to top end of a log. High taper reduces sawmill yield, causes skewed boards, and lowers log grade and price. IS 1902:2015 India classifies taper into three grades for pricing purposes. It applies a standard log taper formula so you can predict the diameter at any height along the stem before deciding where to buck.
Where Used?
Formulas
Taper = (D_large - D_small) / L cm per metreForm factor f = V_huber / V_cylinderIS 1902 Class 1: taper <= 0.5 cm/m (slight)IS 1902 Class 2: 0.5 to 1.5 cm/m (moderate)IS 1902 Class 3: > 1.5 cm/m (excessive)- Taper = (D_large − D_small) / L
- IS 1902 taper classes 1–3
- Form factor = (D_mid/D_large)²
Formula checked against the sources above by an automated regression test (tests/verify-phase3a.js) that derives each expected value independently of this page. Last reviewed .
FAQ
Wood species data
Density, hardness and movement for 60 timbers
How the calculation works
Three standard volume methods are shown side by side because they disagree, and the disagreement is the useful part. Smalian averages the two ends and reads high on a tapered log; Huber uses the middle and reads closer to truth; Newton weights the middle four times as heavily and is the most accurate of the three when all three diameters are measured.
Show the formula
Taper = (butt diameter - top diameter) / length. Huber volume = mid-point area x length. Smalian volume = mean of the two end areas x length. Newton volume = (butt area + 4 x mid area + top area) / 6 x length. Form factor = Huber volume / cylinder volume computed on the butt diameter.Huber, Smalian and Newton are standard published volume formulas and Newton is the reference where all three diameters are measured. The taper CLASSES shown alongside are a presentational convention of this site — no standard defines slight, moderate or excessive taper — so read the taper rate itself rather than the label.
References and what each one provides
- USDA Wood Handbook (FPL GTR-190)USDA Forest Products LaboratoryPublished density, moisture relationships, shrinkage coefficients and mechanical properties for a wide range of species. The reference dataset behind most wood-property figures on this site.
Unverified values are marked as such rather than presented as sourced.
Limitations of this calculation
Reports taper between the points measured. It does not account for irregular taper along the stem, ovality, or the difference between butt and upper logs from the same tree.
Do not use this for Sale settlement or grading decisions.
Figures are engineering estimates from the inputs and assumptions shown. Verify against the actual material and, where the result affects structure or safety, against a qualified professional.
How to use this tool
- Enter the log measurements below, then press Calculate.
- Fill in price per m3, large-end diameter, small-end diameter, log length.
- Press Calculate.
Worked example
Common mistakes to avoid
- Assuming standard taper on butt logs. The first log of a tree flares and tapers much faster.
- Applying one taper rate to plantation and forest logs alike. Open-grown trees taper more.
- Using taper to 'grow' the small-end diameter for scaling. Rules want the actual measured small end.
