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Trapezoidal lead screw threads Tr10 to Tr40 (ISO 2904 / DIN 103): Tr10x2, Tr12x3, Tr16x4, Tr20x4, Tr24x5, Tr30x6, Tr40x7: pitch, d2, D4, d3, D1
What are the pitch diameter, minor diameter and nut major diameter of a Tr10x2, Tr12x3, Tr16x4, Tr20x4, Tr24x5, Tr30x6 or Tr40x7 trapezoidal thread? · Standard part · basis: ISO 2904:2020 sample table (iTeh) with formula checks on every row; fasten.it, Roymech and AmesWeb as comparison; numbers only
Also called: Tr10x2 thread dimensions, Tr12x3 thread dimensions, Tr14x3 thread dimensions, Tr16x4 thread dimensions, Tr20x4 thread dimensions, Tr24x5 thread dimensions, Tr30x6 thread dimensions, Tr40x7 thread dimensions, Tr8x2 dimensions, Tr10x2 pitch diameter, Tr10x2 minor diameter, Tr12x3 minor diameter, Tr16x4 d3, Tr20x4 d2, Tr10x2 lead screw, Tr10x1.5 thread, trapezoidal thread chart, metric acme thread, D
Exact dimensions. True size, with no tolerance added.
- sizes
- 44 in table
Notes
- Tr is the metric trapezoidal (30 degree flank angle) lead-screw thread: Tr10x2 means 10 mm nominal diameter and 2 mm pitch. For a single-start screw the lead equals the pitch; a multi-start thread has lead = P x starts and is written Tr d x lead (P pitch). The standard's formulas: D1 = d - P, d2 = D2 = d - 0.5 P, D4 = d + 2 ac, d3 = d - P - 2 ac (ac is the crest clearance, which differs by pitch).
- Numbers: the ISO 2904:2020 sample (iTeh) table for Tr10 to Tr40 (44 d x P combinations); the generator re-checks D1 = d - P, d2 = d - 0.5 P and d3 = d - P - 2 ac on every row (ac = (D4 - d) / 2). AmesWeb's limits tables print the same screw minor and nut major values where compared (Tr10x1.5: d3 8.200, D4 10.300; Tr16x4: d3 11.500; Tr40x7: d3 32.000).
- Disagreements kept: fasten.it's copy of the table (a cancelled-DIN reproduction) prints Tr10x1.5 with D4 11, d3 8 and D1 7.5, Roymech with D4 11, d3 2.000 and D1 3.000; the ISO 2904 sample and AmesWeb both give D4 10.3, d3 8.2, D1 8.5, which the formulas confirm. fasten.it, Roymech and AmesWeb also list Tr16x3 (and Tr18x3, Tr20x3 on AmesWeb), which the ISO 2904 sample table does not; Tr16x4 is in the ISO sample (and AmesWeb) but fasten.it and Roymech print Tr16x3 in its place. Those rows are not used here.
- Numbers only, no files: a lead screw's length, ends and start count are chosen by the user, and the helical thread is not a published envelope. For modelled lead screws see the T8 lead screw and the Tr10x2 screw pages.
- Left out: the external / internal tolerance classes (7e, 7H and so on), the multi-start leads, Tr sizes above 40 mm, ac / H4 / h3 values per pitch (not in the sample).
Trapezoidal lead screw threads Tr10 to Tr40 (ISO 2904 / DIN 103)… size chart
| thread | nominal Ø d, mm | pitch P, mm | pitch Ø d2 = D2, mm | nut major Ø D4, mm | screw minor Ø d3, mm | nut minor Ø D1, mm |
|---|---|---|---|---|---|---|
| Tr10x1.5 | 10 | 1.5 | 9.250 | 10.300 | 8.200 | 8.500 |
| Tr10x2 | 10 | 2 | 9.000 | 10.500 | 7.500 | 8.000 |
| Tr11x2 | 11 | 2 | 10.000 | 11.500 | 8.500 | 9.000 |
| Tr11x3 | 11 | 3 | 9.500 | 11.500 | 7.500 | 8.000 |
| Tr12x2 | 12 | 2 | 11.000 | 12.500 | 9.500 | 10.000 |
| Tr12x3 | 12 | 3 | 10.500 | 12.500 | 8.500 | 9.000 |
| Tr14x2 | 14 | 2 | 13.000 | 14.500 | 11.500 | 12.000 |
| Tr14x3 | 14 | 3 | 12.500 | 14.500 | 10.500 | 11.000 |
| Tr16x2 | 16 | 2 | 15.000 | 16.500 | 13.500 | 14.000 |
| Tr16x4 | 16 | 4 | 14.000 | 16.500 | 11.500 | 12.000 |
| Tr18x2 | 18 | 2 | 17.000 | 18.500 | 15.500 | 16.000 |
| Tr18x4 | 18 | 4 | 16.000 | 18.500 | 13.500 | 14.000 |
| Tr20x2 | 20 | 2 | 19.000 | 20.500 | 17.500 | 18.000 |
| Tr20x4 | 20 | 4 | 18.000 | 20.500 | 15.500 | 16.000 |
| Tr22x3 | 22 | 3 | 20.500 | 22.500 | 18.500 | 19.000 |
| Tr22x5 | 22 | 5 | 19.500 | 22.500 | 16.500 | 17.000 |
| Tr22x8 | 22 | 8 | 18.000 | 23.000 | 13.000 | 14.000 |
| Tr24x3 | 24 | 3 | 22.500 | 24.500 | 20.500 | 21.000 |
| Tr24x5 | 24 | 5 | 21.500 | 24.500 | 18.500 | 19.000 |
| Tr24x8 | 24 | 8 | 20.000 | 25.000 | 15.000 | 16.000 |
| Tr26x3 | 26 | 3 | 24.500 | 26.500 | 22.500 | 23.000 |
| Tr26x5 | 26 | 5 | 23.500 | 26.500 | 20.500 | 21.000 |
| Tr26x8 | 26 | 8 | 22.000 | 27.000 | 17.000 | 18.000 |
| Tr28x3 | 28 | 3 | 26.500 | 28.500 | 24.500 | 25.000 |
| Tr28x5 | 28 | 5 | 25.500 | 28.500 | 22.500 | 23.000 |
| Tr28x8 | 28 | 8 | 24.000 | 29.000 | 19.000 | 20.000 |
| Tr30x3 | 30 | 3 | 28.500 | 30.500 | 26.500 | 27.000 |
| Tr30x6 | 30 | 6 | 27.000 | 31.000 | 23.000 | 24.000 |
| Tr30x10 | 30 | 10 | 25.000 | 31.000 | 19.000 | 20.000 |
| Tr32x3 | 32 | 3 | 30.500 | 32.500 | 28.500 | 29.000 |
| Tr32x6 | 32 | 6 | 29.000 | 33.000 | 25.000 | 26.000 |
| Tr32x10 | 32 | 10 | 27.000 | 33.000 | 21.000 | 22.000 |
| Tr34x3 | 34 | 3 | 32.500 | 34.500 | 30.500 | 31.000 |
| Tr34x6 | 34 | 6 | 31.000 | 35.000 | 27.000 | 28.000 |
| Tr34x10 | 34 | 10 | 29.000 | 35.000 | 23.000 | 24.000 |
| Tr36x3 | 36 | 3 | 34.500 | 36.500 | 32.500 | 33.000 |
| Tr36x6 | 36 | 6 | 33.000 | 37.000 | 29.000 | 30.000 |
| Tr36x10 | 36 | 10 | 31.000 | 37.000 | 25.000 | 26.000 |
| Tr38x3 | 38 | 3 | 36.500 | 38.500 | 34.500 | 35.000 |
| Tr38x7 | 38 | 7 | 34.500 | 39.000 | 30.000 | 31.000 |
| Tr38x10 | 38 | 10 | 33.000 | 39.000 | 27.000 | 28.000 |
| Tr40x3 | 40 | 3 | 38.500 | 40.500 | 36.500 | 37.000 |
| Tr40x7 | 40 | 7 | 36.500 | 41.000 | 32.000 | 33.000 |
| Tr40x10 | 40 | 10 | 35.000 | 41.000 | 29.000 | 30.000 |
Where the files are
Other publishers' files are linked, not hosted. "verify" = check the license at the link before commercial use.
| iTeh Standards | ISO 2904:2020 sample: ISO metric trapezoidal screw threads, basic dimensions, formulas and the d, P, d2, D4, d3, D1 table (Tr10 to Tr40) | web | Publisher's page; dimensions are facts |
| fasten.it | ISO 2904 (cancelled DIN 103 successor) trapezoidal thread table, reproduced by permission of DIN | web | Publisher's page; dimensions are facts |
| Roymech | Trapezoidal threads: metric table d, P, d2, D4, d3, D1 | web | Publisher's page; dimensions are facts |
| AmesWeb | Trapezoidal thread chart: external / internal major, pitch, minor diameter limits | web | Publisher's page; dimensions are facts |
Xem scan
File coming
No downloadable true-size file yet: the published figures do not fix the whole shape, and Xem never guesses a number. A measured scan is planned; request it and it moves up.
https://xemstudio.com/mcp to Claude, ChatGPT, Cursor or any MCP client (free, no account, one minute) and it can look up exact sizes, mating fits and free STEP/STL from every chat.Plain text: sheet.txt · JSON: /api/geometry?object=trapezoidal-threads-tr10-tr40-iso-2904
Fits with





Questions
What are the dimensions of a Tr10x2 thread?
Nominal diameter 10, pitch 2: pitch diameter d2 = 9.000, nut minor D1 = 8.000, screw minor d3 = 7.500, nut major D4 = 10.500 mm (ISO 2904).
What are the dimensions of a Tr12x3 thread?
d2 = 10.500, D1 = 9.000, d3 = 8.500, D4 = 12.500 mm.
What are the dimensions of a Tr16x4 thread?
d2 = 14.000, D1 = 12.000, d3 = 11.500, D4 = 16.500 mm.
What are the dimensions of a Tr20x4 thread?
d2 = 18.000, D1 = 16.000, d3 = 15.500, D4 = 20.500 mm.
What is the formula for the pitch diameter of a Tr thread?
d2 = d - 0.5 P; the nut minor diameter is D1 = d - P (ISO 2904).