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Gear Outside Diameter

Gear outside diameter, abbreviated as \(OD\), is the diameter of the circle that contains the tops of the teeth of external gears.  It is the diameter measured at the outermost point of the gear's teeth.  It's an important dimension because it helps determine the overall size of the gear and is used in various calculations in gear design.  

Gear Outside Diameter formula

\( OD \;=\;  \dfrac{ n + 2 }{ DP }\)     (Gear Outside Diameter)

\( n \;=\;   CD -  \dfrac{ 2 }{ DP } \)

\( DP \;=\; \dfrac{ 2 }{ OD - n }\)

Symbol English Metric
\( OD \) = Outside Diameter \(in\) \(mm\)
\( n \) = Number of Teeth on the Diameter \(dimensionless\) \(dimensionless\)
\( DP \) = Dimetrical Pitch \(in\) \(mm\)

gear diameter 1

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Gear Outside Diameter formula

\( OD \;=\; PD + 2 \cdot A \)     (Gear Outside Diameter)

\( PD \;=\; OD - 2 \cdot A \)

\( A \;=\;  \dfrac{ OD - PD }{ 2 }\) 

Symbol English Metric
\( OD \) = Outside Diameter \(in\) \(mm\)
\( PD \) = Pitch Diameter \(in\) \(mm\)
\( A \) = Addendum \(in\) \(mm\)