{
 "version": "2026-10-20",
 "license": "Dimension sheets are written by Xem Studio from the cited sources and are free to use (CC BY 4.0, attribute 'Xem Studio'). Linked files belong to their publishers under the license shown; Xem Studio does not host them. 'license_verified: false' means the license shown is from memory or the publisher's page as last read and should be confirmed at the link before commercial use.",
 "slug": "spur-gears-module-1",
 "name": "Spur gears, module 1: 10 to 80 teeth (20° involute)",
 "kind": "hardware",
 "category": "Hardware",
 "group": "Motion",
 "year": null,
 "question": "What is the pitch diameter of a module 1 spur gear?",
 "tags": [
  "gear",
  "spur gear",
  "module 1",
  "involute"
 ],
 "aliases": [
  "module 1 spur gear stl",
  "m1 gear dimensions",
  "spur gear calculator pitch diameter",
  "involute gear step file",
  "3d printable gear"
 ],
 "overall_mm": {
  "length": null,
  "width": null,
  "height": null
 },
 "official_cad": false,
 "xem_status": "free-files",
 "les": false,
 "free_files": 26,
 "url": "https://xemstudio.com/objects/spur-gears-module-1/",
 "sheet_txt": "https://xemstudio.com/objects/spur-gears-module-1/sheet.txt",
 "sheet": {
  "basis": "ISO 53 basic rack: 20° pressure angle, addendum m, dedendum 1.25 m; pitch Ø = m × teeth, tip Ø = m × (teeth + 2), root Ø = m × (teeth − 2.5)",
  "overall_mm": {
   "length": null,
   "width": null,
   "height": null
  },
  "notes": [
   "Centre distance of two module 1 gears = m × (N1 + N2) / 2. Face width 8 mm, plain bore (add a hub, key or set screw to suit). Teeth below 17 are drawn without profile shift, so they undercut as real unshifted gears do."
  ],
  "table": {
   "columns": [
    "teeth",
    "pitch_dia_mm",
    "tip_dia_mm",
    "root_dia_mm",
    "face_mm",
    "bore_mm"
   ],
   "rows": [
    [
     10,
     10,
     12,
     7.5,
     8,
     3
    ],
    [
     12,
     12,
     14,
     9.5,
     8,
     3
    ],
    [
     14,
     14,
     16,
     11.5,
     8,
     4
    ],
    [
     15,
     15,
     17,
     12.5,
     8,
     4
    ],
    [
     16,
     16,
     18,
     13.5,
     8,
     5
    ],
    [
     18,
     18,
     20,
     15.5,
     8,
     5
    ],
    [
     20,
     20,
     22,
     17.5,
     8,
     6
    ],
    [
     22,
     22,
     24,
     19.5,
     8,
     7
    ],
    [
     24,
     24,
     26,
     21.5,
     8,
     8
    ],
    [
     25,
     25,
     27,
     22.5,
     8,
     8
    ],
    [
     28,
     28,
     30,
     25.5,
     8,
     9
    ],
    [
     30,
     30,
     32,
     27.5,
     8,
     10
    ],
    [
     32,
     32,
     34,
     29.5,
     8,
     10
    ],
    [
     35,
     35,
     37,
     32.5,
     8,
     11
    ],
    [
     36,
     36,
     38,
     33.5,
     8,
     12
    ],
    [
     40,
     40,
     42,
     37.5,
     8,
     13
    ],
    [
     42,
     42,
     44,
     39.5,
     8,
     14
    ],
    [
     45,
     45,
     47,
     42.5,
     8,
     15
    ],
    [
     48,
     48,
     50,
     45.5,
     8,
     16
    ],
    [
     50,
     50,
     52,
     47.5,
     8,
     17
    ],
    [
     56,
     56,
     58,
     53.5,
     8,
     19
    ],
    [
     60,
     60,
     62,
     57.5,
     8,
     20
    ],
    [
     64,
     64,
     66,
     61.5,
     8,
     22
    ],
    [
     70,
     70,
     72,
     67.5,
     8,
     24
    ],
    [
     72,
     72,
     74,
     69.5,
     8,
     24
    ],
    [
     80,
     80,
     82,
     77.5,
     8,
     25
    ]
   ]
  }
 },
 "sheet_text": "Spur gears, module 1: 10 to 80 teeth (20° involute) — dimension sheet\nSource: Xem Studio, https://xemstudio.com/objects/spur-gears-module-1/  (CC BY 4.0)\nBasis: ISO 53 basic rack: 20° pressure angle, addendum m, dedendum 1.25 m; pitch Ø = m × teeth, tip Ø = m × (teeth + 2), root Ø = m × (teeth − 2.5)\nCatalog version: 2026-10-20\n\nSizes: see table below\n- Centre distance of two module 1 gears = m × (N1 + N2) / 2. Face width 8 mm, plain bore (add a hub, key or set screw to suit). Teeth below 17 are drawn without profile shift, so they undercut as real unshifted gears do.\n\nteeth  pitch_dia_mm  tip_dia_mm  root_dia_mm  face_mm  bore_mm\n10  10.0  12.0  7.5  8.0  3\n12  12.0  14.0  9.5  8.0  3\n14  14.0  16.0  11.5  8.0  4\n15  15.0  17.0  12.5  8.0  4\n16  16.0  18.0  13.5  8.0  5\n18  18.0  20.0  15.5  8.0  5\n20  20.0  22.0  17.5  8.0  6\n22  22.0  24.0  19.5  8.0  7\n24  24.0  26.0  21.5  8.0  8\n25  25.0  27.0  22.5  8.0  8\n28  28.0  30.0  25.5  8.0  9\n30  30.0  32.0  27.5  8.0  10\n32  32.0  34.0  29.5  8.0  10\n35  35.0  37.0  32.5  8.0  11\n36  36.0  38.0  33.5  8.0  12\n40  40.0  42.0  37.5  8.0  13\n42  42.0  44.0  39.5  8.0  14\n45  45.0  47.0  42.5  8.0  15\n48  48.0  50.0  45.5  8.0  16\n50  50.0  52.0  47.5  8.0  17\n56  56.0  58.0  53.5  8.0  19\n60  60.0  62.0  57.5  8.0  20\n64  64.0  66.0  61.5  8.0  22\n70  70.0  72.0  67.5  8.0  24\n72  72.0  74.0  69.5  8.0  24\n80  80.0  82.0  77.5  8.0  25\n\nFiles elsewhere (not hosted by Xem Studio; license as stated by the publisher):\n- ISO: ISO 53 standard basic rack (20° pressure angle, addendum 1 m, dedendum 1.25 m) and ISO 54 modules — standard — ISO; dimensions are facts [verify license at link] — https://www.iso.org/standard/5768.html\n\nFree files (CC BY 4.0, Xem Studio; STEP + STL, 26 parts): https://xemstudio.com/files/hardware/spur-gears-module-1/index.json\nAPI: https://xemstudio.com/api/geometry?object=spur-gears-module-1\n",
 "sources": [
  {
   "publisher": "ISO",
   "title": "ISO 53 standard basic rack (20° pressure angle, addendum 1 m, dedendum 1.25 m) and ISO 54 modules",
   "url": "https://www.iso.org/standard/5768.html",
   "formats": [
    "standard"
   ],
   "license": "ISO; dimensions are facts",
   "license_verified": false,
   "hosted": false
  }
 ],
 "xem": {
  "status": "free-files",
  "sheet_free": true,
  "mesh_price_usd": null,
  "step_price_usd": null,
  "tolerance_mm": null
 },
 "related": [
  "spur-gears-module-0-5",
  "spur-gears-module-0-8",
  "spur-gears-module-1-25",
  "spur-gears-module-1-5",
  "spur-gears-module-2",
  "spur-gears-involute"
 ],
 "fits": [],
 "dimensions": "exact (nominal, no printing tolerance)",
 "dimension_rule": "All geometry on Xem Studio is exact (nominal, true size) with no printing tolerance. Where a part meets another part, the object lists its mating features (feature, exact size, what it mates with, fit class: press, slide, run, socket, clamp or designed). Apply your process's allowance to those features only; 'designed' gaps are part of the design and stay as drawn.",
 "mating": [],
 "faq": [
  {
   "q": "Pitch diameter of a module 1, 20-tooth gear?",
   "a": "20 mm; tip 22 mm."
  },
  {
   "q": "Centre distance?",
   "a": "m × (N1 + N2) / 2: a 20 and a 40 tooth module 1 pair sit 30 mm apart."
  }
 ],
 "files_license": null,
 "offers": [
  {
   "file": "gear-m1-10t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-10t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-10t.stl",
   "note": "module 1, 10 teeth: pitch Ø10, tip Ø12, root Ø7.5, face 8, bore Ø3"
  },
  {
   "file": "gear-m1-12t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-12t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-12t.stl",
   "note": "module 1, 12 teeth: pitch Ø12, tip Ø14, root Ø9.5, face 8, bore Ø3"
  },
  {
   "file": "gear-m1-14t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-14t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-14t.stl",
   "note": "module 1, 14 teeth: pitch Ø14, tip Ø16, root Ø11.5, face 8, bore Ø4"
  },
  {
   "file": "gear-m1-15t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-15t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-15t.stl",
   "note": "module 1, 15 teeth: pitch Ø15, tip Ø17, root Ø12.5, face 8, bore Ø4"
  },
  {
   "file": "gear-m1-16t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-16t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-16t.stl",
   "note": "module 1, 16 teeth: pitch Ø16, tip Ø18, root Ø13.5, face 8, bore Ø5"
  },
  {
   "file": "gear-m1-18t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-18t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-18t.stl",
   "note": "module 1, 18 teeth: pitch Ø18, tip Ø20, root Ø15.5, face 8, bore Ø5"
  },
  {
   "file": "gear-m1-20t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-20t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-20t.stl",
   "note": "module 1, 20 teeth: pitch Ø20, tip Ø22, root Ø17.5, face 8, bore Ø6"
  },
  {
   "file": "gear-m1-22t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-22t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-22t.stl",
   "note": "module 1, 22 teeth: pitch Ø22, tip Ø24, root Ø19.5, face 8, bore Ø7"
  },
  {
   "file": "gear-m1-24t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-24t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-24t.stl",
   "note": "module 1, 24 teeth: pitch Ø24, tip Ø26, root Ø21.5, face 8, bore Ø8"
  },
  {
   "file": "gear-m1-25t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-25t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-25t.stl",
   "note": "module 1, 25 teeth: pitch Ø25, tip Ø27, root Ø22.5, face 8, bore Ø8"
  },
  {
   "file": "gear-m1-28t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-28t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-28t.stl",
   "note": "module 1, 28 teeth: pitch Ø28, tip Ø30, root Ø25.5, face 8, bore Ø9"
  },
  {
   "file": "gear-m1-30t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-30t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-30t.stl",
   "note": "module 1, 30 teeth: pitch Ø30, tip Ø32, root Ø27.5, face 8, bore Ø10"
  },
  {
   "file": "gear-m1-32t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-32t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-32t.stl",
   "note": "module 1, 32 teeth: pitch Ø32, tip Ø34, root Ø29.5, face 8, bore Ø10"
  },
  {
   "file": "gear-m1-35t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-35t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-35t.stl",
   "note": "module 1, 35 teeth: pitch Ø35, tip Ø37, root Ø32.5, face 8, bore Ø11"
  },
  {
   "file": "gear-m1-36t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-36t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-36t.stl",
   "note": "module 1, 36 teeth: pitch Ø36, tip Ø38, root Ø33.5, face 8, bore Ø12"
  },
  {
   "file": "gear-m1-40t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-40t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-40t.stl",
   "note": "module 1, 40 teeth: pitch Ø40, tip Ø42, root Ø37.5, face 8, bore Ø13"
  },
  {
   "file": "gear-m1-42t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-42t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-42t.stl",
   "note": "module 1, 42 teeth: pitch Ø42, tip Ø44, root Ø39.5, face 8, bore Ø14"
  },
  {
   "file": "gear-m1-45t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-45t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-45t.stl",
   "note": "module 1, 45 teeth: pitch Ø45, tip Ø47, root Ø42.5, face 8, bore Ø15"
  },
  {
   "file": "gear-m1-48t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-48t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-48t.stl",
   "note": "module 1, 48 teeth: pitch Ø48, tip Ø50, root Ø45.5, face 8, bore Ø16"
  },
  {
   "file": "gear-m1-50t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-50t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-50t.stl",
   "note": "module 1, 50 teeth: pitch Ø50, tip Ø52, root Ø47.5, face 8, bore Ø17"
  },
  {
   "file": "gear-m1-56t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-56t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-56t.stl",
   "note": "module 1, 56 teeth: pitch Ø56, tip Ø58, root Ø53.5, face 8, bore Ø19"
  },
  {
   "file": "gear-m1-60t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-60t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-60t.stl",
   "note": "module 1, 60 teeth: pitch Ø60, tip Ø62, root Ø57.5, face 8, bore Ø20"
  },
  {
   "file": "gear-m1-64t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-64t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-64t.stl",
   "note": "module 1, 64 teeth: pitch Ø64, tip Ø66, root Ø61.5, face 8, bore Ø22"
  },
  {
   "file": "gear-m1-70t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-70t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-70t.stl",
   "note": "module 1, 70 teeth: pitch Ø70, tip Ø72, root Ø67.5, face 8, bore Ø24"
  },
  {
   "file": "gear-m1-72t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-72t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-72t.stl",
   "note": "module 1, 72 teeth: pitch Ø72, tip Ø74, root Ø69.5, face 8, bore Ø24"
  },
  {
   "file": "gear-m1-80t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-80t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1/gear-m1-80t.stl",
   "note": "module 1, 80 teeth: pitch Ø80, tip Ø82, root Ø77.5, face 8, bore Ø25"
  }
 ],
 "markdown": "https://xemstudio.com/objects/spur-gears-module-1/index.md"
}