{
 "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": "stepped-gearing-mechanism",
 "name": "Stepped (staggered) spur gearing, 20 : 40, two steps",
 "kind": "hardware",
 "category": "Mechanisms",
 "group": "Gears",
 "year": null,
 "question": "What is stepped gearing?",
 "tags": [
  "mechanism",
  "gears",
  "kinematics",
  "507 mechanical movements"
 ],
 "aliases": [
  "stepped gear",
  "staggered gear",
  "step gearing",
  "hooke gear",
  "engranaje escalonado",
  "Stufenzahnrad"
 ],
 "overall_mm": {
  "length": null,
  "width": null,
  "height": null
 },
 "official_cad": false,
 "xem_status": "free-files",
 "les": false,
 "free_files": 1,
 "url": "https://xemstudio.com/objects/stepped-gearing-mechanism/",
 "sheet_txt": "https://xemstudio.com/objects/stepped-gearing-mechanism/sheet.txt",
 "sheet": {
  "basis": "Xem Studio design following Brown No. 44 (1868)",
  "overall_mm": {
   "length": null,
   "width": null,
   "height": null
  },
  "notes": [
   "Each wheel is two identical spur gears side by side, the second turned by half a tooth pitch: the steps share the load so that one pair is always near the pitch point, giving smoother, stronger drive — the step towards helical gears.",
   "Built here from four catalog module 1 gears (20 and 40 teeth), the upper layer turned 9° (pinion) and 4.5° (wheel); centre distance 30 mm, no backlash drawn.",
   "Brown's No. 44 notes its use for heavy, slow drives such as large planing-machine beds.",
   "Parts (each has its own page): spur-gears-module-1.",
   "Brown's movement No. 44 (1868) shows it; this model is a Xem Studio design following his figure, every part at true size."
  ],
  "table": {
   "columns": [
    "parameter",
    "value"
   ],
   "rows": [
    [
     "module",
     "1"
    ],
    [
     "teeth",
     "20 / 40, two layers each"
    ],
    [
     "layer offset",
     "half a pitch (9° / 4.5°)"
    ],
    [
     "centre distance",
     "30 mm"
    ],
    [
     "face",
     "2 × 8 mm"
    ]
   ]
  }
 },
 "sheet_text": "Stepped (staggered) spur gearing, 20 : 40, two steps — dimension sheet\nSource: Xem Studio, https://xemstudio.com/objects/stepped-gearing-mechanism/  (CC BY 4.0)\nBasis: Xem Studio design following Brown No. 44 (1868)\nCatalog version: 2026-10-20\n\nSizes: see table below\n- Each wheel is two identical spur gears side by side, the second turned by half a tooth pitch: the steps share the load so that one pair is always near the pitch point, giving smoother, stronger drive — the step towards helical gears.\n- Built here from four catalog module 1 gears (20 and 40 teeth), the upper layer turned 9° (pinion) and 4.5° (wheel); centre distance 30 mm, no backlash drawn.\n- Brown's No. 44 notes its use for heavy, slow drives such as large planing-machine beds.\n- Parts (each has its own page): spur-gears-module-1.\n- Brown's movement No. 44 (1868) shows it; this model is a Xem Studio design following his figure, every part at true size.\n\nparameter  value\nmodule  1\nteeth  20 / 40, two layers each\nlayer offset  half a pitch (9° / 4.5°)\ncentre distance  30 mm\nface  2 × 8 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. 44: figure, his text and an animation — web — Publisher's page; dimensions are facts — https://507movements.com/mm_044.html\n\nFree files (CC BY 4.0, Xem Studio; STEP + STL, 1 parts): https://xemstudio.com/files/hardware/stepped-gearing-mechanism/index.json\nAPI: https://xemstudio.com/api/geometry?object=stepped-gearing-mechanism\n",
 "sources": [
  {
   "publisher": "Henry T. Brown (1868, public domain)",
   "title": "Five Hundred and Seven Mechanical Movements — scan on archive.org",
   "url": "https://archive.org/details/fivehundredseven00browiala",
   "formats": [
    "web"
   ],
   "license": "Publisher's page; dimensions are facts",
   "license_verified": true,
   "hosted": false
  },
  {
   "publisher": "507movements.com",
   "title": "Brown's movement No. 44: figure, his text and an animation",
   "url": "https://507movements.com/mm_044.html",
   "formats": [
    "web"
   ],
   "license": "Publisher's page; dimensions are facts",
   "license_verified": true,
   "hosted": false
  }
 ],
 "xem": {
  "status": "free-files",
  "sheet_free": true,
  "mesh_price_usd": null,
  "step_price_usd": null,
  "tolerance_mm": null
 },
 "related": [
  "spur-gears-module-1"
 ],
 "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 is stepped gearing?",
   "a": "Each wheel is two identical spur gears side by side, the second turned by half a tooth pitch: the steps share the load so that one pair is always near the pitch point, giving smoother, stronger drive — the step towards helical gears."
  }
 ],
 "files_license": null,
 "offers": [
  {
   "file": "stepped-gearing-mechanism-assembly",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/stepped-gearing-mechanism/stepped-gearing-mechanism-assembly.step",
   "stl": "https://xemstudio.com/files/hardware/stepped-gearing-mechanism/stepped-gearing-mechanism-assembly.stl",
   "note": "Assembled mechanism, all parts placed at one pose (STEP keeps each part separate)"
  }
 ],
 "markdown": "https://xemstudio.com/objects/stepped-gearing-mechanism/index.md"
}