{
 "version": "2026-10-20",
 "license": "Dimension sheets: CC BY 4.0. Standard and published-size files: CC BY 4.0. Xem Studio's own designs (files_license = Xem Studio Design License): free to use and sell things from, not to redistribute as files — https://xemstudio.com/license/. Other publishers' files: their own license, linked beside them.",
 "slug": "mitre-gear-m2-20t-bore5",
 "name": "Mitre (bevel) gear, module 2, 20 teeth, Ø5 bore, spherical involute",
 "kind": "modern",
 "category": "Hardware",
 "group": "Mechanism parts",
 "year": null,
 "question": "What are the dimensions of a module 2, 20-tooth bevel gear (mitre)?",
 "tags": [
  "mechanism part",
  "507 mechanical movements"
 ],
 "aliases": [
  "bevel gear",
  "mitre gear",
  "module 2 bevel gear",
  "spherical involute bevel gear",
  "engranaje cónico (de inglete)",
  "Kegelrad"
 ],
 "overall_mm": {
  "length": 42.72,
  "width": 42.72,
  "height": 23.91
 },
 "official_cad": false,
 "xem_status": "free-files",
 "les": false,
 "free_files": 1,
 "url": "https://xemstudio.com/objects/mitre-gear-m2-20t-bore5/",
 "sheet_txt": "https://xemstudio.com/objects/mitre-gear-m2-20t-bore5/sheet.txt",
 "sheet": {
  "basis": "Xem Studio design following Brown's figure (1868); true size, no printing allowance",
  "overall_mm": {
   "length": 42.72,
   "width": 42.72,
   "height": 23.91
  },
  "notes": [
   "Straight bevel gear, module 2 at the large end, 20 teeth, for a 20-tooth mate at 90° shaft angle: pitch cone angle 45°, cone distance 28.28 mm, pitch Ø40, face width 9.4 mm, Ø5 bore, Ø28.47 hub.",
   "Teeth are exact spherical involutes (base cone sin γb = sin δ · cos 20°), converging to the pitch apex: each flank is a cone from the apex over the spherical involute, so two such gears roll with line contact at every position; ends are spheres centred on the apex (radii A0 and A0 − F). Addendum m, dedendum 1.25 m at the large end.",
   "Xem Studio design following Brown's figure; true size, no printing allowance (apply your own to the mating features)."
  ],
  "table": {
   "columns": [
    "dimension",
    "value"
   ],
   "rows": [
    [
     "module (large end)",
     "2"
    ],
    [
     "teeth",
     "20 (mate 20)"
    ],
    [
     "shaft angle",
     "90°"
    ],
    [
     "pitch cone",
     "45°"
    ],
    [
     "cone distance A0",
     "28.28 mm"
    ],
    [
     "face width",
     "9.4 mm"
    ],
    [
     "pitch Ø",
     "40 mm"
    ],
    [
     "tip Ø",
     "42.72 mm"
    ],
    [
     "bore",
     "Ø5"
    ],
    [
     "apex to back of hub",
     "36.28 mm"
    ]
   ]
  }
 },
 "sheet_text": "Mitre (bevel) gear, module 2, 20 teeth, Ø5 bore, spherical involute — dimension sheet\nSource: Xem Studio, https://xemstudio.com/objects/mitre-gear-m2-20t-bore5/  (sheet CC BY 4.0; files Xem Studio Design License, https://xemstudio.com/license/)\nBasis: Xem Studio design following Brown's figure (1868); true size, no printing allowance\nCatalog version: 2026-10-20\n\nOverall (mm): length 42.72, width 42.72, height 23.91\n- Straight bevel gear, module 2 at the large end, 20 teeth, for a 20-tooth mate at 90° shaft angle: pitch cone angle 45°, cone distance 28.28 mm, pitch Ø40, face width 9.4 mm, Ø5 bore, Ø28.47 hub.\n- Teeth are exact spherical involutes (base cone sin γb = sin δ · cos 20°), converging to the pitch apex: each flank is a cone from the apex over the spherical involute, so two such gears roll with line contact at every position; ends are spheres centred on the apex (radii A0 and A0 − F). Addendum m, dedendum 1.25 m at the large end.\n- Xem Studio design following Brown's figure; true size, no printing allowance (apply your own to the mating features).\n\ndimension  value\nmodule (large end)  2\nteeth  20 (mate 20)\nshaft angle  90°\npitch cone  45°\ncone distance A0  28.28 mm\nface width  9.4 mm\npitch Ø  40 mm\ntip Ø  42.72 mm\nbore  Ø5\napex to back of hub  36.28 mm\n\nFiles elsewhere (not hosted by Xem Studio; license as stated by the publisher):\n- Henry T. Brown (1868, public domain): Five Hundred and Seven Mechanical Movements — scan on archive.org — web — Publisher's page; dimensions are facts — https://archive.org/details/fivehundredseven00browiala\n- 507movements.com: Brown's movement No. 25: figure, his text and an animation — web — Publisher's page; dimensions are facts — https://507movements.com/mm_025.html\n- Xem Studio: drawing — web — Publisher's page; dimensions are facts — https://xemstudio.com/objects/mutilated-bevel-gear-mechanism/\n\nFree files (Xem Studio Design License, Xem Studio; STEP + STL, 1 parts): https://xemstudio.com/files/hardware/mitre-gear-m2-20t-bore5/index.json\nAPI: https://xemstudio.com/api/geometry?object=mitre-gear-m2-20t-bore5\n",
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   "license": "Publisher's page; dimensions are facts",
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   "title": "drawing",
   "url": "https://xemstudio.com/objects/mutilated-bevel-gear-mechanism/",
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    "web"
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   "license": "Publisher's page; dimensions are facts",
   "license_verified": true,
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 "related": [
  "mutilated-bevel-gear-mechanism"
 ],
 "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": "What are the dimensions of a module 2, 20-tooth bevel gear (mitre)?",
   "a": "Straight bevel gear, module 2 at the large end, 20 teeth, for a 20-tooth mate at 90° shaft angle: pitch cone angle 45°, cone distance 28.28 mm, pitch Ø40, face width 9.4 mm, Ø5 bore, Ø28.47 hub."
  }
 ],
 "files_license": {
  "name": "Xem Studio Design License",
  "holder": "Xem Studio",
  "url": "https://xemstudio.com/license/",
  "note": "Xem Studio's own design: free to use, print, modify and sell things made from it; not to be republished or redistributed as files."
 },
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   "step": "https://xemstudio.com/files/hardware/mitre-gear-m2-20t-bore5/mitre-gear-m2-20t-bore5.step",
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   "note": "gear, pitch apex at the origin, axis +Z, a tooth on +X"
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 "markdown": "https://xemstudio.com/objects/mitre-gear-m2-20t-bore5/index.md"
}