{
 "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-0-5",
 "name": "Spur gears, module 0.5: 10 to 80 teeth (20° involute)",
 "kind": "hardware",
 "category": "Hardware",
 "group": "Motion",
 "year": null,
 "question": "What is the pitch diameter of a module 0.5 spur gear?",
 "tags": [
  "gear",
  "spur gear",
  "module 0.5",
  "involute"
 ],
 "aliases": [
  "module 0.5 spur gear stl",
  "m0.5 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-0-5/",
 "sheet_txt": "https://xemstudio.com/objects/spur-gears-module-0-5/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 0.5 gears = m × (N1 + N2) / 2. Face width 4 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,
     5,
     6,
     3.75,
     4,
     1.5
    ],
    [
     12,
     6,
     7,
     4.75,
     4,
     2
    ],
    [
     14,
     7,
     8,
     5.75,
     4,
     2
    ],
    [
     15,
     7.5,
     8.5,
     6.25,
     4,
     2
    ],
    [
     16,
     8,
     9,
     6.75,
     4,
     2
    ],
    [
     18,
     9,
     10,
     7.75,
     4,
     3
    ],
    [
     20,
     10,
     11,
     8.75,
     4,
     3
    ],
    [
     22,
     11,
     12,
     9.75,
     4,
     3
    ],
    [
     24,
     12,
     13,
     10.75,
     4,
     4
    ],
    [
     25,
     12.5,
     13.5,
     11.25,
     4,
     4
    ],
    [
     28,
     14,
     15,
     12.75,
     4,
     4
    ],
    [
     30,
     15,
     16,
     13.75,
     4,
     5
    ],
    [
     32,
     16,
     17,
     14.75,
     4,
     5
    ],
    [
     35,
     17.5,
     18.5,
     16.25,
     4,
     6
    ],
    [
     36,
     18,
     19,
     16.75,
     4,
     6
    ],
    [
     40,
     20,
     21,
     18.75,
     4,
     7
    ],
    [
     42,
     21,
     22,
     19.75,
     4,
     7
    ],
    [
     45,
     22.5,
     23.5,
     21.25,
     4,
     7
    ],
    [
     48,
     24,
     25,
     22.75,
     4,
     8
    ],
    [
     50,
     25,
     26,
     23.75,
     4,
     8
    ],
    [
     56,
     28,
     29,
     26.75,
     4,
     9
    ],
    [
     60,
     30,
     31,
     28.75,
     4,
     10
    ],
    [
     64,
     32,
     33,
     30.75,
     4,
     11
    ],
    [
     70,
     35,
     36,
     33.75,
     4,
     12
    ],
    [
     72,
     36,
     37,
     34.75,
     4,
     12
    ],
    [
     80,
     40,
     41,
     38.75,
     4,
     14
    ]
   ]
  }
 },
 "sheet_text": "Spur gears, module 0.5: 10 to 80 teeth (20° involute) — dimension sheet\nSource: Xem Studio, https://xemstudio.com/objects/spur-gears-module-0-5/  (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 0.5 gears = m × (N1 + N2) / 2. Face width 4 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  5.0  6.0  3.75  4.0  1.5\n12  6.0  7.0  4.75  4.0  2.0\n14  7.0  8.0  5.75  4.0  2.0\n15  7.5  8.5  6.25  4.0  2.0\n16  8.0  9.0  6.75  4.0  2.0\n18  9.0  10.0  7.75  4.0  3\n20  10.0  11.0  8.75  4.0  3\n22  11.0  12.0  9.75  4.0  3\n24  12.0  13.0  10.75  4.0  4\n25  12.5  13.5  11.25  4.0  4\n28  14.0  15.0  12.75  4.0  4\n30  15.0  16.0  13.75  4.0  5\n32  16.0  17.0  14.75  4.0  5\n35  17.5  18.5  16.25  4.0  6\n36  18.0  19.0  16.75  4.0  6\n40  20.0  21.0  18.75  4.0  7\n42  21.0  22.0  19.75  4.0  7\n45  22.5  23.5  21.25  4.0  7\n48  24.0  25.0  22.75  4.0  8\n50  25.0  26.0  23.75  4.0  8\n56  28.0  29.0  26.75  4.0  9\n60  30.0  31.0  28.75  4.0  10\n64  32.0  33.0  30.75  4.0  11\n70  35.0  36.0  33.75  4.0  12\n72  36.0  37.0  34.75  4.0  12\n80  40.0  41.0  38.75  4.0  14\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-0-5/index.json\nAPI: https://xemstudio.com/api/geometry?object=spur-gears-module-0-5\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,
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  "tolerance_mm": null
 },
 "related": [
  "spur-gears-module-0-8",
  "spur-gears-module-1",
  "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 0.5, 20-tooth gear?",
   "a": "10 mm; tip 11 mm."
  },
  {
   "q": "Centre distance?",
   "a": "m × (N1 + N2) / 2: a 20 and a 40 tooth module 0.5 pair sit 15 mm apart."
  }
 ],
 "files_license": null,
 "offers": [
  {
   "file": "gear-m0-5-10t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-10t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-10t.stl",
   "note": "module 0.5, 10 teeth: pitch Ø5, tip Ø6, root Ø3.75, face 4, bore Ø1.5"
  },
  {
   "file": "gear-m0-5-12t",
   "formats": [
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    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-12t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-12t.stl",
   "note": "module 0.5, 12 teeth: pitch Ø6, tip Ø7, root Ø4.75, face 4, bore Ø2"
  },
  {
   "file": "gear-m0-5-14t",
   "formats": [
    "step",
    "stl"
   ],
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-14t.stl",
   "note": "module 0.5, 14 teeth: pitch Ø7, tip Ø8, root Ø5.75, face 4, bore Ø2"
  },
  {
   "file": "gear-m0-5-15t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-15t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-15t.stl",
   "note": "module 0.5, 15 teeth: pitch Ø7.5, tip Ø8.5, root Ø6.25, face 4, bore Ø2"
  },
  {
   "file": "gear-m0-5-16t",
   "formats": [
    "step",
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   ],
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-16t.stl",
   "note": "module 0.5, 16 teeth: pitch Ø8, tip Ø9, root Ø6.75, face 4, bore Ø2"
  },
  {
   "file": "gear-m0-5-18t",
   "formats": [
    "step",
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-18t.stl",
   "note": "module 0.5, 18 teeth: pitch Ø9, tip Ø10, root Ø7.75, face 4, bore Ø3"
  },
  {
   "file": "gear-m0-5-20t",
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   ],
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-20t.stl",
   "note": "module 0.5, 20 teeth: pitch Ø10, tip Ø11, root Ø8.75, face 4, bore Ø3"
  },
  {
   "file": "gear-m0-5-22t",
   "formats": [
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   ],
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-22t.stl",
   "note": "module 0.5, 22 teeth: pitch Ø11, tip Ø12, root Ø9.75, face 4, bore Ø3"
  },
  {
   "file": "gear-m0-5-24t",
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-24t.stl",
   "note": "module 0.5, 24 teeth: pitch Ø12, tip Ø13, root Ø10.75, face 4, bore Ø4"
  },
  {
   "file": "gear-m0-5-25t",
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    "stl"
   ],
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-25t.stl",
   "note": "module 0.5, 25 teeth: pitch Ø12.5, tip Ø13.5, root Ø11.25, face 4, bore Ø4"
  },
  {
   "file": "gear-m0-5-28t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-28t.stl",
   "note": "module 0.5, 28 teeth: pitch Ø14, tip Ø15, root Ø12.75, face 4, bore Ø4"
  },
  {
   "file": "gear-m0-5-30t",
   "formats": [
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    "stl"
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-30t.stl",
   "note": "module 0.5, 30 teeth: pitch Ø15, tip Ø16, root Ø13.75, face 4, bore Ø5"
  },
  {
   "file": "gear-m0-5-32t",
   "formats": [
    "step",
    "stl"
   ],
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-32t.stl",
   "note": "module 0.5, 32 teeth: pitch Ø16, tip Ø17, root Ø14.75, face 4, bore Ø5"
  },
  {
   "file": "gear-m0-5-35t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-35t.stl",
   "note": "module 0.5, 35 teeth: pitch Ø17.5, tip Ø18.5, root Ø16.25, face 4, bore Ø6"
  },
  {
   "file": "gear-m0-5-36t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-36t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-36t.stl",
   "note": "module 0.5, 36 teeth: pitch Ø18, tip Ø19, root Ø16.75, face 4, bore Ø6"
  },
  {
   "file": "gear-m0-5-40t",
   "formats": [
    "step",
    "stl"
   ],
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   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-40t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-40t.stl",
   "note": "module 0.5, 40 teeth: pitch Ø20, tip Ø21, root Ø18.75, face 4, bore Ø7"
  },
  {
   "file": "gear-m0-5-42t",
   "formats": [
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    "stl"
   ],
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-42t.stl",
   "note": "module 0.5, 42 teeth: pitch Ø21, tip Ø22, root Ø19.75, face 4, bore Ø7"
  },
  {
   "file": "gear-m0-5-45t",
   "formats": [
    "step",
    "stl"
   ],
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-45t.stl",
   "note": "module 0.5, 45 teeth: pitch Ø22.5, tip Ø23.5, root Ø21.25, face 4, bore Ø7"
  },
  {
   "file": "gear-m0-5-48t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-48t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-48t.stl",
   "note": "module 0.5, 48 teeth: pitch Ø24, tip Ø25, root Ø22.75, face 4, bore Ø8"
  },
  {
   "file": "gear-m0-5-50t",
   "formats": [
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   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-50t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-50t.stl",
   "note": "module 0.5, 50 teeth: pitch Ø25, tip Ø26, root Ø23.75, face 4, bore Ø8"
  },
  {
   "file": "gear-m0-5-56t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-56t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-56t.stl",
   "note": "module 0.5, 56 teeth: pitch Ø28, tip Ø29, root Ø26.75, face 4, bore Ø9"
  },
  {
   "file": "gear-m0-5-60t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-60t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-60t.stl",
   "note": "module 0.5, 60 teeth: pitch Ø30, tip Ø31, root Ø28.75, face 4, bore Ø10"
  },
  {
   "file": "gear-m0-5-64t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-64t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-64t.stl",
   "note": "module 0.5, 64 teeth: pitch Ø32, tip Ø33, root Ø30.75, face 4, bore Ø11"
  },
  {
   "file": "gear-m0-5-70t",
   "formats": [
    "step",
    "stl"
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   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-70t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-70t.stl",
   "note": "module 0.5, 70 teeth: pitch Ø35, tip Ø36, root Ø33.75, face 4, bore Ø12"
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   "license": "CC BY 4.0 (Xem Studio)",
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   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-72t.stl",
   "note": "module 0.5, 72 teeth: pitch Ø36, tip Ø37, root Ø34.75, face 4, bore Ø12"
  },
  {
   "file": "gear-m0-5-80t",
   "formats": [
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   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-80t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-0-5/gear-m0-5-80t.stl",
   "note": "module 0.5, 80 teeth: pitch Ø40, tip Ø41, root Ø38.75, face 4, bore Ø14"
  }
 ],
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}