1D NESTING

Linear Cut List Calculator in Feet, Inches and Fractions

Type 47 3/8 or 3' 11 3/8" and 20 ft; get the bars to buy, 1/16" tape stop marks for every bar and the yield, in feet and inches.

Examples
Bars to buy9 bars
Material yield97.6%
Purchase cost$1,017.60
Saw cuts · kerf loss36 cuts · 4 1/2 in
Offcuts ≥ threshold1 reusable
Lower bound: 9 barsOptimalExact search206' 11 3/4" of parts from 212' 0" of stock36 of 36 pieces placed

Single length24 ft only: 9 bars · 95.8% · $1,036.80vs this mix: 9 bars · 97.6% · $1,017.60

Bar 1 tape stops (pull the tape from the bar's left end): 3' 11 7/8" · 7' 11 3/8" · 11' 10 7/8" · 15' 10 3/8" · 18' 6" · 21' 1 5/8" · 23' 9 1/4"

PieceKerfReusable offcutScrap, trim, miter wedgeStop mark

A500 2x2x11ga square tube9 bought · 0 from inventory · 97.6%

Bar 124 ft98.6% yielddrop 0' 2 5/8" · scrap
PO-1 · 3' 11 3/8" · 90°/90°PO-2 · 3' 11 3/8" · 90°/90°PO-3 · 3' 11 3/8" · 90°/90°PO-4 · 3' 11 3/8" · 90°/90°BR-1 · 2' 7 1/2" · 90°/90°BR-2 · 2' 7 1/2" · 90°/90°BR-3 · 2' 7 1/2" · 90°/90°02'4'6'8'10'12'14'16'18'20'22'24 ftPO-1PO-2PO-3PO-4BR-1BR-2BR-3

Stops 3' 11 7/8" · 7' 11 3/8" · 11' 10 7/8" · 15' 10 3/8" · 18' 6" · 21' 1 5/8" · 23' 9 1/4"

Bar 224 ft98.4% yielddrop 0' 3 1/4" · scrap
MR-1 · 5' 3" · 90°/90°MR-2 · 5' 3" · 90°/90°MR-3 · 5' 3" · 90°/90°BR-4 · 2' 7 1/2" · 90°/90°BR-5 · 2' 7 1/2" · 90°/90°BR-6 · 2' 7 1/2" · 90°/90°02'4'6'8'10'12'14'16'18'20'22'24 ftMR-1MR-2MR-3BR-4BR-5BR-6

Stops 5' 3 1/2" · 10' 6 5/8" · 15' 9 3/4" · 18' 5 3/8" · 21' 1" · 23' 8 5/8"

Bar 324 ft98.1% yielddrop 0' 4 5/8" · scrap
TR-1 · 9' 1 3/4" · 90°/90°TR-2 · 9' 1 3/4" · 90°/90°MR-4 · 5' 3" · 90°/90°02'4'6'8'10'12'14'16'18'20'22'24 ftTR-1TR-2MR-4

Stops 9' 2 1/4" · 18' 4 1/8" · 23' 7 1/4"

Bar 424 ft98.1% yielddrop 0' 4 5/8" · scrap
TR-3 · 9' 1 3/4" · 90°/90°TR-4 · 9' 1 3/4" · 90°/90°MR-5 · 5' 3" · 90°/90°02'4'6'8'10'12'14'16'18'20'22'24 ftTR-3TR-4MR-5

Stops 9' 2 1/4" · 18' 4 1/8" · 23' 7 1/4"

Bar 524 ft98.1% yielddrop 0' 4 5/8" · scrap
TR-5 · 9' 1 3/4" · 90°/90°TR-6 · 9' 1 3/4" · 90°/90°MR-6 · 5' 3" · 90°/90°02'4'6'8'10'12'14'16'18'20'22'24 ftTR-5TR-6MR-6

Stops 9' 2 1/4" · 18' 4 1/8" · 23' 7 1/4"

Bar 624 ft98.1% yielddrop 0' 4 5/8" · scrap
TR-7 · 9' 1 3/4" · 90°/90°TR-8 · 9' 1 3/4" · 90°/90°MR-7 · 5' 3" · 90°/90°02'4'6'8'10'12'14'16'18'20'22'24 ftTR-7TR-8MR-7

Stops 9' 2 1/4" · 18' 4 1/8" · 23' 7 1/4"

Bar 724 ft98.1% yielddrop 0' 4 5/8" · scrap
TR-9 · 9' 1 3/4" · 90°/90°TR-10 · 9' 1 3/4" · 90°/90°MR-8 · 5' 3" · 90°/90°02'4'6'8'10'12'14'16'18'20'22'24 ftTR-9TR-10MR-8

Stops 9' 2 1/4" · 18' 4 1/8" · 23' 7 1/4"

Bar 824 ft92.7% yielddrop 1' 8 1/4" · reusable
TR-11 · 9' 1 3/4" · 90°/90°TR-12 · 9' 1 3/4" · 90°/90°PO-5 · 3' 11 3/8" · 90°/90°02'4'6'8'10'12'14'16'18'20'22'24 ftTR-11TR-12PO-5

Stops 9' 2 1/4" · 18' 4 1/8" · 22' 3 5/8"

Bar 920 ft98.7% yielddrop 0' 2" · scrap
PO-6 · 3' 11 3/8" · 90°/90°PO-7 · 3' 11 3/8" · 90°/90°PO-8 · 3' 11 3/8" · 90°/90°PO-9 · 3' 11 3/8" · 90°/90°PO-10 · 3' 11 3/8" · 90°/90°02'4'6'8'10'12'14'16'18'20 ftPO-6PO-7PO-8PO-9PO-10

Stops 3' 11 7/8" · 7' 11 3/8" · 11' 10 7/8" · 15' 10 3/8" · 19' 9 7/8"

Buy list

  • 8 × 24 ft · $921.60
  • 1 × 20 ft · $96.00

Drops (offcuts)

  • Bar 1 · 0' 2 5/8" · scrap
  • Bar 2 · 0' 3 1/4" · scrap
  • Bar 3 · 0' 4 5/8" · scrap
  • Bar 4 · 0' 4 5/8" · scrap
  • Bar 5 · 0' 4 5/8" · scrap
  • Bar 6 · 0' 4 5/8" · scrap
  • Bar 7 · 0' 4 5/8" · scrap
  • Bar 8 · 1' 8 1/4" · reusable
  • Bar 9 · 0' 2" · scrap

Free proof files

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Shop-floor files PRO7 days · $4.99

Examples

Feet-and-inch jobs to start from

A square-tube railing, a 2x4 wall framing list and a flat-bar picket job.

ASTM A500 2" square tube railing

36 parts in fractions on 20 ft + 24 ft. Buy 8 × 24 ft + 1 × 20 ft.

Bars
9
Yield
97.6%
Cost
$1,017.60
Cuts
36

Dimensional lumber wall framing

8/10/12/16 ft studs, priced. Buy 3 × 12 ft + 1 × 10 ft + 20 × 8 ft.

Bars
24
Yield
96.9%
Cost
$114.22
Cuts
41

Flat bar pickets and rails

60 cuts on 20 ft flat bar. Buy 10 × 20 ft.

Bars
10
Yield
92.0%
Cost
$384.00
Cuts
60

How to use it

Cut list in fractions, five steps

  1. Load the railing job or start new The preset is 2" A500 square tube on 20 and 24 ft bars, in feet and inches. New job keeps the unit you picked.
  2. Type lengths the way you read a tape 47 3/8, 3' 11 3/8" or 20 ft all work. Pick in (fractions) or ft-in from the unit menu.
  3. Set kerf as a fraction 1/8" for an abrasive or cold saw, 1/16" for a band saw. Trims of 1/2" square the mill ends.
  4. Read the stop marks for bar 1 The callout above the canvas lists every stop from the left end, rounded to 1/16". Set the stop, cut, move to the next.
  5. Label as you cut Mark each piece with its ID and bar number, or print the Pro barcode labels, before the pieces leave the saw.

Input

How to type fractions and feet-inches

You typeRead asInches
47 3/8Whole inches and a fraction (space)47.375
47-3/8Whole inches and a fraction (dash)47.375
47.375Decimal inches47.375
3' 11 3/8"Feet, inches and a fraction47.375
3 ft 11 3/8 inSpelled-out units47.375
20 ft · 20' · 240"Whole feet or inches, for stock lengths240
1660 mm · 166 cmA metric cell inside an inch job65.354
Display rounds to the nearest 1/16"; calculations keep the exact value.

On the saw

Cumulative stop marks vs adding pieces one by one

#PieceLengthStop mark from the left endWorst case, measuring piece by piece
1PO-147 3/8"3' 11 7/8"± 1/16"
2PO-247 3/8"7' 11 3/8"± 1/16"
3PO-347 3/8"11' 10 7/8"± 1/8"
4PO-447 3/8"15' 10 3/8"± 1/8"
5BR-131 1/2"18' 6"± 3/16"
6BR-231 1/2"21' 1 5/8"± 3/16"
7BR-331 1/2"23' 9 1/4"± 1/4"
Bar 1 of the railing job (24 ft, kerf 1/8", 1/2" trims), computed by the engine. Last column assumes ± 1/32" per tape reading.

Read every stop from one zero and each piece carries a single reading error, about ± 1/32". Hook the tape on the last cut instead and the errors add up: by piece 7 the worst case is ± 1/4", enough to throw a railing out of plumb.

Worked example

Square tube: 20 ft vs 24 ft bars

A500 2×2×11 ga, 36 piecesBarsYieldCost
Mixed: 8 × 24 ft + 1 × 20 ft997.6%$1,017.60
24 ft only995.8%$1,036.80
20 ft only1194.1%$1,056.00
$96.00 per 20 ft bar and $115.20 per 24 ft bar ($4.80 per foot either way).

Both lengths cost $4.80 per foot, so the cheapest plan is the one that buys the least tube. Eight 24 ft bars take most of the pieces and the rest fit in one 20 ft bar, 4 ft less steel than nine 24 ft bars: $19.20 saved. Twenty-foot bars alone need 11 bars and cost $38.40 more.

Lumber

Dimensional lumber lengths and the framing example

2x4 SPF, stud gradeLengthPricePer foot
Board8 ft$4.28$0.54
Board10 ft$6.18$0.62
Board12 ft$7.48$0.62
Board16 ft$10.98$0.69
Example prices in the preset. Lumber is sold in 2 ft steps from 8 to 16 ft (PS 20); a 2x4 is 1 1/2" × 3 1/2" actual.

Longer boards cost more per foot, so the cheapest plan here buys 3 × 12 ft, 1 × 10 ft, 20 × 8 ft: 24 bars for $114.22 at 96.9%. Using only 16 ft boards would mean 13 boards and $142.74. Choose Fewest bars as the goal if handling matters more than price.

Workflow

From cut list to labelled pieces in a welding shop

  1. Nest and buy. Print or share the buy list; it groups bars by material and length.
  2. Cut bar by bar. Square the end with the trim cut, then work through the stop marks left to right.
  3. Label each piece. Part ID and bar number on every piece, and reusable drops marked with their length.
  4. Rack the drops. Next job, enter them as offcut inventory and switch on Use offcuts first.

Where it fits

Who works in feet and inches

Wall framing and decks

Studs, plates, headers and blocking on 8–16 ft lumber priced per board.

Spreadsheet cut lists in inches

Paste fractions straight from Excel; the importer reads 47 3/8 and 3' 11 3/8".

Excel import guide

FAQ

Feet, inch and fraction questions

Which inch formats can I type?

Whole and fractional inches (47 3/8 or 47-3/8), decimals (47.375), feet and inches (3' 11 3/8" or 3 ft 11 3/8 in) and whole feet (20 ft). A cell with mm or cm uses that unit even in an inch job.

How precise are the stop marks?

Lengths are kept exact internally and the stop marks are rounded to the nearest 1/16" for display, the finest mark on most shop tapes. The kerf loss and yield use the unrounded values.

Why stop marks instead of piece lengths?

Measuring each piece from the last cut adds every small error to the next piece. Stop marks are all read from the same zero, the bar's left end, so each one carries only its own reading error. Kerf and trim are already inside the numbers.

Which side of the mark do I cut on?

Each stop is the far end of a piece, measured from the bar's original left end with the trim and every earlier kerf included. Put the blade on the waste side, to the right of the mark, and the piece comes out at its full length.

Should I buy 20 ft or 24 ft tube?

Enter both with prices and let the planner choose. The railing job buys eight 24 ft bars and one 20 ft bar for $1,017.60. Only 24 ft bars would cost $1,036.80, and only 20 ft bars would need 11 bars and $1,056.00.

Does it handle lumber?

Yes, any straight stock. Enter each board length you can buy (8, 10, 12, 14, 16 ft) with its price, and the planner buys the cheapest mix. Use 1/8" kerf for a circular or miter saw blade.

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