2.007 - Design and Manufacturing I - Gears: Terminology, Geometry, Gear Trains, Strength - Today’s Agenda

Oct 28, 2026

Lecture slides for MIT OpenCourseWare 2.007 Design and Manufacturing I (Spring 2009) presented by Dan Frey. The session agenda introduces gears and their applications, then surveys gear types and key terminology, including conjugate action and the involute curve. Content covers fundamental geometry concepts such as pitch point and line of action, alongside early gear history examples and introductory analysis approaches for gear trains and mechanical strength considerations.

LanguageEnglish

CategoryExam

FormatPDF

Pages47

Reading Time1 h 58 min

AccessFree to download

Today’s Agenda

Distribute homework #3

Gears

Applications

Types

Terminology / nomenclature

Conjugate action

Involute curve

Analysis & design

Applications of Gears

Gear Terminology

Source and design references

Other Types of Gears

Spur gears

Helical

Rack

Bevel

Worm

Early Gears

Conjugate Action

Pitch Point

Line of action

MIT OpenCourseWare [http://ocw.mit.edu](http://ocw.mit.edu) 2.007 Design and Manufacturing I Spring 2009 For information about citing these materials or our Terms of Use, visit: [http://ocw.mit.edu/terms](http://ocw.mit.edu/terms). 2.007 –Design and Manufacturing I Gears: Terminology, Geometry, Gear Trains, Strength Presented by Dan Frey on 17 MAR 2009 Images from Wikimedia Commons, [http://commons.wikimedia.org](http://commons.wikimedia.org) Today’s Agenda • Distribute homework \#3 • Gears – Applications – Types – Terminology / nomenclature – Congugate action – Involute curve – Analysis & design Applications of Gears Images removed due to copyright restrictions. Please see [http://mossmotors.com/Graphics/Products/Schematics/SPM-027.gif](http://mossmotors.com/Graphics/Products/Schematics/SPM-027.gif) [http://www.nmm.ac.uk/collections/displayRepro.cfm?reproID=A6263](http://www.nmm.ac.uk/collections/displayRepro.cfm?reproID=A6263) Sobel, Dava, Longitude Spur Gears • Transmit motion between parallel shafts • Teeth are parallel to the axis of rotation • This is the simplest kind of gear we’ll consider and most of today is dedicated to them Gear Terminology Source: Fig. 1.1 in “Gears.”Design and Application of Small Standardized components Data Book 757 . Stock Drive Products, 1983. Accessed September 18, 2009. Courtesy of Stock Drive Products/Sterling Instrument. Diametral pitch (teeth per inch) \# of teeth on a gear with a 1 inch pitch diameter Easily confused Other Types of Gears Image courtesy of perlmonger on Flickr. Helical Images from Wikimedia Commons, [http://commons.wikimedia.org](http://commons.wikimedia.org) Rack Courtesy OSHA. Bevel Worm Early Gears Drawings of waterwheels and gears removed due to copyright restrictions. Roman watermills at Barbegal 300AD Application for powering textile machinery 18th century Conjugate Action ωΑ A Let’s say ωA is a known. How can we determine ωB? Let’s say ωA is a constant with time. Can we synthesize a shape of body B so that ωB is also constant with time? Pitch Point ωΑ A What is the line of action? What is the pitch point? What are the relationships among these?

FAQs

What topics are covered in the lecture agenda for gears?

The agenda lists gears applications, types, terminology/nomenclature, conjugate action, involute curve, and analysis & design, along with distributing homework #3.

How does the lecture frame conjugate action and gear synthesis?

It asks how to determine ωB given a known ωA, and whether a shape of body B can be synthesized so ωB remains constant over time.

What key geometric concepts are introduced for gear analysis?

The slides highlight the pitch point and the line of action, and ask how these are related, alongside relationships among the core definitions.

Oct 28, 2026

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