Enter all lengths in millimetres (mm). This calculator estimates how many identical finished pieces fit in a single stock length.
Conservative cutting convention: one blade kerf is charged for every finished piece, including the final separating cut. This convention always applies, including when the calculation uses the stock exactly.
End-trim allowance means the total stock length consumed by all end trimming, including the cutting loss from those trimming cuts. Do not enter only the solid scraps removed or count the trimming kerfs again.
Used length includes finished pieces, their separating kerfs and the total end-trim allowance. Offcut is the stock remaining after those deductions.
Enter values in 0.01 mm increments. Stock, kerf and trim accept 0 to 1,000,000 mm; finished piece length accepts 0.01 to 1,000,000 mm and must be positive. These are calculator input limits, not claims about cutting accuracy or machine capacity.
Total trim must also be no greater than stock length. An invalid trim or piece length makes dependent results unavailable; unavailable does not mean zero pieces. Valid inputs that cannot fit one complete piece plus its kerf return zero pieces. The entered trim is still deducted when yield is zero.
These formulas are derived directly from the cutting convention specified in this tool’s intake brief; they are not attributed to an external woodworking standard.
After trimming, the available length is S − T. Each finished piece consumes P + K because every piece is charged one separating kerf. Therefore N pieces must satisfy N(P + K) ≤ S − T. The largest whole number satisfying that inequality is floor((S − T)/(P + K)). Adding trimming consumption gives used length; subtracting used length from stock gives offcut.
The calculator applies number.floor to the dimensionless yield before calculating used length and offcut. Display precision does not determine the piece count.
| Stock (mm) | Piece (mm) | Kerf (mm) | Total trim (mm) | Whole pieces | Used (mm) | Offcut (mm) |
|---|---|---|---|---|---|---|
| 1000 | 100 | 3 | 0 | 9 | 927 | 73 |
| 1030 | 100 | 3 | 0 | 10 | 1030 | 0 |
| 1000 | 100 | 3 | 20 | 9 | 947 | 53 |
| 100 | 100 | 3 | 0 | 0 | 0 | 100 |
| 1000 | 100 | 3 | 1000 | 0 | 1000 | 0 |
| 1000 | 100 | 0 | 0 | 10 | 1000 | 0 |
For 1000 mm of stock, 100 mm pieces, a 3 mm kerf and no trimming, each piece consumes 103 mm. The whole-piece yield is floor(1000/103) = 9. Used length is 9 × 103 = 927 mm, leaving 1000 − 927 = 73 mm.
With 1030 mm of stock and the same settings, 1030/103 = 10 exactly. Ten pieces consume all 1030 mm, including ten kerfs, leaving zero offcut.
Does the final separating cut consume kerf?
Yes. This calculator always charges one kerf per finished piece, including the final separating cut. It does not waive that allowance when a different cutting sequence might avoid the final cut.
Can I calculate several different piece lengths?
No. This tool handles equal finished-piece lengths from one stock length only. It does not optimize cutting layouts, combine multiple boards or account for defects, grain direction, clamping allowances or finishing allowances unless you account for them in the entered lengths.
Is used length the same as usable finished wood?
No. Used length includes finished wood, separating-cut losses and end-trimming consumption. Offcut is only the remaining stock after these deductions; it excludes trim scraps and kerf losses.
Artwork creation and asset registration are required: no registered thumbnail asset was supplied for this proposal. Create a 400 × 400 pixel WebP thumbnail with a cheerful yellow five-point star mascot floating with hands and no separate legs or feet, on a white background, alongside navy, blue and teal graphics showing equal wood segments and kerf gaps. Inspect neighboring tool thumbnails for style consistency. Once registered, use its actual asset ID in the first image block as the tool thumbnail.