Gear TrainsWorking out an overall ratio, including the idler that trips everyone.Mechanical EngineeringCount teeth, never diameters, and track direction as you go.1Take each mesh in turnRatio of a mesh is driven teeth over driving teeth.2Multiply the meshesThe overall ratio is the product of the individual stages.3Ignore idlers for ratioAn idler changes direction only; its tooth count cancels out.4Track the directionExternal mesh reverses; internal mesh keeps the same sense.5Convert to torqueTorque rises by the ratio; power stays, less the losses.Epicyclic trains do not follow this at all. Use the tabular method or Willis'equation for those.Gear Trainslearnposters.com
Gear Trains — printable engineering wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Gear Trains, step by step

Count teeth, never diameters, and track direction as you go.

  1. Take each mesh in turnRatio of a mesh is driven teeth over driving teeth.
  2. Multiply the meshesThe overall ratio is the product of the individual stages.
  3. Ignore idlers for ratioAn idler changes direction only; its tooth count cancels out.
  4. Track the directionExternal mesh reverses; internal mesh keeps the same sense.
  5. Convert to torqueTorque rises by the ratio; power stays, less the losses.

Epicyclic trains do not follow this at all. Use the tabular method or Willis' equation for those.

Questions about the Gear Trains poster

What’s on the Gear Trains poster?
5 numbered steps. Count teeth, never diameters, and track direction as you go. Take each mesh in turn — Ratio of a mesh is driven teeth over driving teeth.; Multiply the meshes — The overall ratio is the product of the individual stages.; Ignore idlers for ratio — An idler changes direction only; its tooth count cancels out.; Track the direction — External mesh reverses; internal mesh keeps the same sense.; Convert to torque — Torque rises by the ratio; power stays, less the losses.. Epicyclic trains do not follow this at all. Use the tabular method or Willis' equation for those.
Who is the Gear Trains poster for?
Gear Trains belongs to the Mechanical Engineering section rather than to a school year, because engineering is not something one grade owns. Anyone learning machine design can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Gear Trains poster?
Any multi-stage drive, and any time you need to know which way the output turns. A wall chart earns its place by being glanceable from where the work is happening, so Gear Trains belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
What other posters go with Gear Trains?
Bearing Life, Choosing a Bearing and Belt or Chain? sit alongside Gear Trains in the Mechanical Engineering section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Bearing LifeChoosing a BearingBelt or Chain?
Is the Gear Trains poster free to download and print?
Yes. Gear Trains downloads as a free PDF with no account, no email and no watermark, like everything else in the Mechanical Engineering section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Gear Trains poster print at?
Gear Trains is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Gear Trains loses nothing.Printing guide

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