{
 "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": "bevel-gear-m1-5-40t-for-20t-90deg",
 "name": "Bevel wheel, module 1.5, 40 teeth (for a 20-tooth pinion at 90°), spherical involute",
 "kind": "modern",
 "category": "Hardware",
 "group": "Mechanism parts",
 "year": null,
 "question": "What are the dimensions of a module 1.5, 40-tooth bevel gear?",
 "tags": [
  "mechanism part",
  "507 mechanical movements"
 ],
 "aliases": [
  "bevel gear",
  "bevel wheel",
  "module 1.5 bevel gear",
  "spherical involute bevel gear",
  "engranaje cónico",
  "Kegelrad"
 ],
 "overall_mm": {
  "length": 61.28,
  "width": 61.28,
  "height": 32.45
 },
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 "xem_status": "free-files",
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 "url": "https://xemstudio.com/objects/bevel-gear-m1-5-40t-for-20t-90deg/",
 "sheet_txt": "https://xemstudio.com/objects/bevel-gear-m1-5-40t-for-20t-90deg/sheet.txt",
 "sheet": {
  "basis": "Xem Studio design following Brown's figure (1868); true size, no printing allowance",
  "overall_mm": {
   "length": 61.28,
   "width": 61.28,
   "height": 32.45
  },
  "notes": [
   "Straight bevel gear, module 1.5 at the large end, 40 teeth, for a 20-tooth mate at 90° shaft angle: pitch cone angle 63.43°, cone distance 33.54 mm, pitch Ø60, face width 11.2 mm, Ø8 bore, Ø54.23 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)",
     "1.5"
    ],
    [
     "teeth",
     "40 (mate 20)"
    ],
    [
     "shaft angle",
     "90°"
    ],
    [
     "pitch cone",
     "63.43°"
    ],
    [
     "cone distance A0",
     "33.54 mm"
    ],
    [
     "face width",
     "11.2 mm"
    ],
    [
     "pitch Ø",
     "60 mm"
    ],
    [
     "tip Ø",
     "61.28 mm"
    ],
    [
     "bore",
     "Ø8"
    ],
    [
     "apex to back of hub",
     "41.54 mm"
    ]
   ]
  }
 },
 "sheet_text": "Bevel wheel, module 1.5, 40 teeth (for a 20-tooth pinion at 90°), spherical involute — dimension sheet\nSource: Xem Studio, https://xemstudio.com/objects/bevel-gear-m1-5-40t-for-20t-90deg/  (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 61.28, width 61.28, height 32.45\n- Straight bevel gear, module 1.5 at the large end, 40 teeth, for a 20-tooth mate at 90° shaft angle: pitch cone angle 63.43°, cone distance 33.54 mm, pitch Ø60, face width 11.2 mm, Ø8 bore, Ø54.23 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)  1.5\nteeth  40 (mate 20)\nshaft angle  90°\npitch cone  63.43°\ncone distance A0  33.54 mm\nface width  11.2 mm\npitch Ø  60 mm\ntip Ø  61.28 mm\nbore  Ø8\napex to back of hub  41.54 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/bevel-gears-mechanism/\n\nFree files (Xem Studio Design License, Xem Studio; STEP + STL, 1 parts): https://xemstudio.com/files/hardware/bevel-gear-m1-5-40t-for-20t-90deg/index.json\nAPI: https://xemstudio.com/api/geometry?object=bevel-gear-m1-5-40t-for-20t-90deg\n",
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 "related": [
  "bevel-gears-mechanism"
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 "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 1.5, 40-tooth bevel gear?",
   "a": "Straight bevel gear, module 1.5 at the large end, 40 teeth, for a 20-tooth mate at 90° shaft angle: pitch cone angle 63.43°, cone distance 33.54 mm, pitch Ø60, face width 11.2 mm, Ø8 bore, Ø54.23 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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   "note": "gear, pitch apex at the origin, axis +Z, a tooth on +X"
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 "markdown": "https://xemstudio.com/objects/bevel-gear-m1-5-40t-for-20t-90deg/index.md"
}