Equ Drvn Gear With "Diametrical Pitch", "Number of Teeth" & "Pressure Angle" as User Input

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Equation Driven Involute Spur Gear Tooth Solidworks

This is one that has a TRUE involute tooth form driven by an equation.

USING:
"Diametrical Pitch" , "Number of Teeth" & "Pressure Angle" as User Input

It seems to be a stable template. It may “break” if an input value is beyond what it can calculate. BUT if it does break just change the value to something that is “in range” or a value that it can calculate. Perhaps the tip rad or the root rad is too big. Or the number of teeth too small. Or the Pressure angle is too large.

**************************************************************************
For the Large Gear:

Note: the template is set for the User input of the
following Global Variables in Solidworks:
"N"= 90 ---- Number of Teeth
"DP"= 15 ---- Diametrical Pitch
"PA"= 15 ---- Pressure Angle
"TipR"= .025'Tip Radus
"RootR"= .01'Root Radus

User can also change:
"a"= 1 / "DP" ---- addendum
"b"= 1.25 / "DP" ---- Dedendum
by changing the "1" or the "1.25"

The following are calculated:
"AngleA"= 360 / ( "N" * 2 ) ---- AngleA
"AngleB"= "AngleA" / 2 ---- AngleB
"PD"= "N" / "DP" ---- Pitch Diameter
"OD"= "PD" + ( 2 * "a" ) ---- Outside Diameter
"DR"= ( "PD" / 2 ) - "b" ---- Dedendum Radius
"AngleC"= "D2@SketchICL" ---- AngleC

Sketch Dimensions from Global Variables:
"ArcLen@SketchICL"= "TanLen@SketchICL"
"D1@CirPattern9"= "N" ---- Number of Teeth
"D1@Fillet1"= "TipR" ---- Tip Radus
"D1@Fillet2"= "RootR" ---- Root Radus
"D1@Fillet3"= "RootR" ---- Root Radus

The definition in the parameters of the parametric
“equation driven curve” for the involute form:
Xt = ("D1@SketchICL"/2) * (cos(t) + t*sin(t))
Xy = ("D1@SketchICL"/2) * (sin(t) - t*cos(t))

t1 = 0
t2 = 1

**************************************************************************
For the Small Gear:

Note: the template is set for the User input of the
following Global Variables in Solidworks:
"N"= 15 ----Number of Teeth
"DP"= 15 ---- Diametrical Pitch
"PA"= 15 ---- Pressure Angle
"TipR"= .005 ---- Tip Radus
"RootR"= .03 ---- Root Radus
"RootRAR"= .02 ---- Root Relief Angle Rad
"RootRA"= 10 ---- Root Relief Angle

User can also change:
"a"= 1 / "DP" ---- Addendum
"b"= 1.18 / "DP" ---- Dedendum
by changing the "1" or the "1.18"

The following are calculated:
"AngleA"= 360 / ( "N" * 2 ) ---- AngleA
"AngleB"= "AngleA" / 2 ---- AngleB
"PD"= "N" / "DP" ---- Pitch Diameter
"OD"= "PD" + ( 2 * "a" ) ---- Outside Diameter
"DR"= ( "PD" / 2 ) - "b" ---- Dedendum Radius
"AngleC"= "D2@SketchICL" ---- AngleC

Sketch Dimensions from Global Variables:
"ArcLen@SketchICL"= "TanLen@SketchICL"
"D1@CirPattern1"="N" --- Number of Teeth
"D1@Fillet1"= "TipR" ---- Tip Radus
"D1@Fillet2"= "RootR" ---- Root Radus
"D2@SketchICLE"="DR" ---- Dedendum Radius
"D3@Sketch2"="DR" ---- Dedendum Radius
"D1@Sketch2"="RootRAR" ---- Root Relief Angle Rad
"D2@Sketch2"="RootRA" ---- Root Relief Angle
"D4@Sketch2"="RootRA" ---- Root Relief Angle

The definition in the parameters of the parametric
“equation driven curve” for the involute form:
Xt = ("D1@SketchICL"/2) * (cos(t) + t*sin(t))
Xy = ("D1@SketchICL"/2) * (sin(t) - t*cos(t))

t1 = 0
t2 = 1

**************************************************************************
Note: The Small Gear has in it the global variables:
"Root Relief Angle Rad" and "Root Relief Angle"
This is so when a Small Gear (pinion) is mated with a
Large Gear there will be clearance. (adjust values as required)