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### Elements of Metric Gear Design

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This document presents the Elements of Metric Gear Design.Gears are some of the most important elements used in machinery. There are few mechanical devices that do not have the need to transmit power and motion between rotating shafts. Gears not only do this most satisfactorily, but can do so with uniform motion and reliability.

INTRODUCTION TO METRIC GEARS
1.1 Comparison Of Metric Gears With American Inch Gears
1.1.1 Comparison of Basic Racks
1.1.2 Metric ISO Basic Rack
1.1.3 Comparison of Gear Calculation Equations
1.2 Metric Standards Worldwide
1.2.1 ISO Standards
1.2.2 Foreign Metric Standards
1.3 Japanese Metric Standards In This Text
1.3.1 Application of JIS Standards
1.3.2 Symbols
1.3.3 Terminology
1.3.4 Conversion.

INTRODUCTION TO GEAR TECHNOLOGY
2.1 Basic Geometry Of Spur Gears
2.2 The Law Of Gearing
2.3 The Involute Curve
2.4 Pitch Circles
2.5 Pitch And Module
2.6 Module Sizes And Standards
2.7 Gear Types And Axial Arrangements
2.7.1 Parallel Axes Gears
2.7.2 Intersecting Axes Gears
2.7.3 Nonparallel and Nonintersecting Axes Gears
2.7.4 Other Special Gears

DETAILS OF INVOLUTE GEARING
3.1 Pressure Angle
3.2 Proper Meshing And Contact Ratio
3.2.1 Contact Ratio
3.3 The Involute Function

SPUR GEAR CALCULATIONS
4.1 Standard Spur Gear
4.2 The Generating Of A Spur Gear
4.3 Undercutting
4.4 Enlarged Pinions
4.5 Profile Shifting
4.6 Profile Shifted Spur Gear
4.7 Rack And Spur Gear

INTERNAL GEARS
5.1 Internal Gear Calculations
5.2 Interference In Internal Gears
5.3 Internal Gear With Small Differences In Numbers Of Teeth

HELICAL GEARS
6.1 Generation Of The Helical Tooth
6.2 Fundamentals Of Helical Teeth
6.3 Equivalent Spur Gear
6.4 Helical Gear Pressure Angle
6.5 Importance Of Normal Plane Geometry
6.6 Helical Tooth Proportions
6.7 Parallel Shaft Helical Gear Meshes
6.8 Helical Gear Contact Ratio
6.9 Design Considerations
6.9.1 Involute Interference
6.9.2 Normal vs. Radial Module (Pitch)
6.10 Helical Gear Calculations
6.10.1 Normal System Helical Gear
6.10.3 Sunderland Double Helical Gear
6.10.4 Helical Rack

SCREW GEAR OR CROSSED HELICAL GEAR MESHES
7.1 Features
7.1.1 Helix Angle and Hands
7.1.2 Module
7.1.3 Center Distance
7.1.4 Velocity Ratio