{
 "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-2",
 "name": "Spur gears, module 2: 10 to 80 teeth (20° involute)",
 "kind": "hardware",
 "category": "Hardware",
 "group": "Motion",
 "year": null,
 "question": "What is the pitch diameter of a module 2 spur gear?",
 "tags": [
  "gear",
  "spur gear",
  "module 2",
  "involute"
 ],
 "aliases": [
  "module 2 spur gear stl",
  "m2 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-2/",
 "sheet_txt": "https://xemstudio.com/objects/spur-gears-module-2/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 2 gears = m × (N1 + N2) / 2. Face width 16 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,
     20,
     24,
     15,
     16,
     5
    ],
    [
     12,
     24,
     28,
     19,
     16,
     7
    ],
    [
     14,
     28,
     32,
     23,
     16,
     8
    ],
    [
     15,
     30,
     34,
     25,
     16,
     9
    ],
    [
     16,
     32,
     36,
     27,
     16,
     9
    ],
    [
     18,
     36,
     40,
     31,
     16,
     11
    ],
    [
     20,
     40,
     44,
     35,
     16,
     12
    ],
    [
     22,
     44,
     48,
     39,
     16,
     14
    ],
    [
     24,
     48,
     52,
     43,
     16,
     15
    ],
    [
     25,
     50,
     54,
     45,
     16,
     16
    ],
    [
     28,
     56,
     60,
     51,
     16,
     18
    ],
    [
     30,
     60,
     64,
     55,
     16,
     19
    ],
    [
     32,
     64,
     68,
     59,
     16,
     21
    ],
    [
     35,
     70,
     74,
     65,
     16,
     23
    ],
    [
     36,
     72,
     76,
     67,
     16,
     23
    ],
    [
     40,
     80,
     84,
     75,
     16,
     25
    ],
    [
     42,
     84,
     88,
     79,
     16,
     25
    ],
    [
     45,
     90,
     94,
     85,
     16,
     25
    ],
    [
     48,
     96,
     100,
     91,
     16,
     25
    ],
    [
     50,
     100,
     104,
     95,
     16,
     25
    ],
    [
     56,
     112,
     116,
     107,
     16,
     25
    ],
    [
     60,
     120,
     124,
     115,
     16,
     25
    ],
    [
     64,
     128,
     132,
     123,
     16,
     25
    ],
    [
     70,
     140,
     144,
     135,
     16,
     25
    ],
    [
     72,
     144,
     148,
     139,
     16,
     25
    ],
    [
     80,
     160,
     164,
     155,
     16,
     25
    ]
   ]
  }
 },
 "sheet_text": "Spur gears, module 2: 10 to 80 teeth (20° involute) — dimension sheet\nSource: Xem Studio, https://xemstudio.com/objects/spur-gears-module-2/  (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 2 gears = m × (N1 + N2) / 2. Face width 16 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  20.0  24.0  15.0  16.0  5\n12  24.0  28.0  19.0  16.0  7\n14  28.0  32.0  23.0  16.0  8\n15  30.0  34.0  25.0  16.0  9\n16  32.0  36.0  27.0  16.0  9\n18  36.0  40.0  31.0  16.0  11\n20  40.0  44.0  35.0  16.0  12\n22  44.0  48.0  39.0  16.0  14\n24  48.0  52.0  43.0  16.0  15\n25  50.0  54.0  45.0  16.0  16\n28  56.0  60.0  51.0  16.0  18\n30  60.0  64.0  55.0  16.0  19\n32  64.0  68.0  59.0  16.0  21\n35  70.0  74.0  65.0  16.0  23\n36  72.0  76.0  67.0  16.0  23\n40  80.0  84.0  75.0  16.0  25\n42  84.0  88.0  79.0  16.0  25\n45  90.0  94.0  85.0  16.0  25\n48  96.0  100.0  91.0  16.0  25\n50  100.0  104.0  95.0  16.0  25\n56  112.0  116.0  107.0  16.0  25\n60  120.0  124.0  115.0  16.0  25\n64  128.0  132.0  123.0  16.0  25\n70  140.0  144.0  135.0  16.0  25\n72  144.0  148.0  139.0  16.0  25\n80  160.0  164.0  155.0  16.0  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-2/index.json\nAPI: https://xemstudio.com/api/geometry?object=spur-gears-module-2\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",
  "spur-gears-module-1-25",
  "spur-gears-module-1-5",
  "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 2, 20-tooth gear?",
   "a": "40 mm; tip 44 mm."
  },
  {
   "q": "Centre distance?",
   "a": "m × (N1 + N2) / 2: a 20 and a 40 tooth module 2 pair sit 60 mm apart."
  }
 ],
 "files_license": null,
 "offers": [
  {
   "file": "gear-m2-10t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-10t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-10t.stl",
   "note": "module 2, 10 teeth: pitch Ø20, tip Ø24, root Ø15, face 16, bore Ø5"
  },
  {
   "file": "gear-m2-12t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-12t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-12t.stl",
   "note": "module 2, 12 teeth: pitch Ø24, tip Ø28, root Ø19, face 16, bore Ø7"
  },
  {
   "file": "gear-m2-14t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-14t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-14t.stl",
   "note": "module 2, 14 teeth: pitch Ø28, tip Ø32, root Ø23, face 16, bore Ø8"
  },
  {
   "file": "gear-m2-15t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-15t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-15t.stl",
   "note": "module 2, 15 teeth: pitch Ø30, tip Ø34, root Ø25, face 16, bore Ø9"
  },
  {
   "file": "gear-m2-16t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-16t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-16t.stl",
   "note": "module 2, 16 teeth: pitch Ø32, tip Ø36, root Ø27, face 16, bore Ø9"
  },
  {
   "file": "gear-m2-18t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-18t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-18t.stl",
   "note": "module 2, 18 teeth: pitch Ø36, tip Ø40, root Ø31, face 16, bore Ø11"
  },
  {
   "file": "gear-m2-20t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-20t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-20t.stl",
   "note": "module 2, 20 teeth: pitch Ø40, tip Ø44, root Ø35, face 16, bore Ø12"
  },
  {
   "file": "gear-m2-22t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-22t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-22t.stl",
   "note": "module 2, 22 teeth: pitch Ø44, tip Ø48, root Ø39, face 16, bore Ø14"
  },
  {
   "file": "gear-m2-24t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-24t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-24t.stl",
   "note": "module 2, 24 teeth: pitch Ø48, tip Ø52, root Ø43, face 16, bore Ø15"
  },
  {
   "file": "gear-m2-25t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-25t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-25t.stl",
   "note": "module 2, 25 teeth: pitch Ø50, tip Ø54, root Ø45, face 16, bore Ø16"
  },
  {
   "file": "gear-m2-28t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-28t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-28t.stl",
   "note": "module 2, 28 teeth: pitch Ø56, tip Ø60, root Ø51, face 16, bore Ø18"
  },
  {
   "file": "gear-m2-30t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-30t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-30t.stl",
   "note": "module 2, 30 teeth: pitch Ø60, tip Ø64, root Ø55, face 16, bore Ø19"
  },
  {
   "file": "gear-m2-32t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-32t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-32t.stl",
   "note": "module 2, 32 teeth: pitch Ø64, tip Ø68, root Ø59, face 16, bore Ø21"
  },
  {
   "file": "gear-m2-35t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-35t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-35t.stl",
   "note": "module 2, 35 teeth: pitch Ø70, tip Ø74, root Ø65, face 16, bore Ø23"
  },
  {
   "file": "gear-m2-36t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-36t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-36t.stl",
   "note": "module 2, 36 teeth: pitch Ø72, tip Ø76, root Ø67, face 16, bore Ø23"
  },
  {
   "file": "gear-m2-40t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-40t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-40t.stl",
   "note": "module 2, 40 teeth: pitch Ø80, tip Ø84, root Ø75, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-42t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-42t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-42t.stl",
   "note": "module 2, 42 teeth: pitch Ø84, tip Ø88, root Ø79, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-45t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-45t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-45t.stl",
   "note": "module 2, 45 teeth: pitch Ø90, tip Ø94, root Ø85, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-48t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-48t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-48t.stl",
   "note": "module 2, 48 teeth: pitch Ø96, tip Ø100, root Ø91, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-50t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-50t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-50t.stl",
   "note": "module 2, 50 teeth: pitch Ø100, tip Ø104, root Ø95, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-56t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-56t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-56t.stl",
   "note": "module 2, 56 teeth: pitch Ø112, tip Ø116, root Ø107, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-60t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-60t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-60t.stl",
   "note": "module 2, 60 teeth: pitch Ø120, tip Ø124, root Ø115, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-64t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-64t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-64t.stl",
   "note": "module 2, 64 teeth: pitch Ø128, tip Ø132, root Ø123, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-70t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-70t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-70t.stl",
   "note": "module 2, 70 teeth: pitch Ø140, tip Ø144, root Ø135, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-72t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-72t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-72t.stl",
   "note": "module 2, 72 teeth: pitch Ø144, tip Ø148, root Ø139, face 16, bore Ø25"
  },
  {
   "file": "gear-m2-80t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-80t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-80t.stl",
   "note": "module 2, 80 teeth: pitch Ø160, tip Ø164, root Ø155, face 16, bore Ø25"
  }
 ],
 "markdown": "https://xemstudio.com/objects/spur-gears-module-2/index.md"
}