spur gear creation - asee.org · pitch diameter (pd) the diameter of an imaginary pitch circle on...
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Spur Gear CreationUsing………
This information is necessary to complete this assignment.
N = Number of Teeth DPxPDOD = Outside Diameter (N+2)/DPPD = Pitch Diameter N/DPDP = Diametral Pitch N/PDRD = Root Diameter OD-2(HW)CD= Center Distance CD=PDgear1/2+PDgear2/2 A = Addendum 1/DPD = Dedendum HW-AWD = Whole Depth 2.157/DPR=Tooth Radius ¾(CP)CT = Cordial Thickness PDsin(90/N)CP= Circular Pitch 3.1416/DP
Outside Diameter (OD)
The overall diameter of the gear. OD=(N+2)/DP
Pitch Diameter (PD)
The diameter of an imaginary pitch circle on which a gear tooth is designed. Pitch circles oftwo gears are tangent.PD=N/DP
Diametral Pitch (DP)
A ratio equal to the number of teeth on a gear per inch of diameter.DP=N/DP
Root Diameter (RD)
The diameter of a circle coinciding with the bottom of the tooth spaces.RD=OD-2(wh)
Center Distance (CD)
The distance between the axis of two mating gears.CD=PDgear1/2+PDgear2/2
Addendum (a)
The radial distance from the pitch circle to the top of the tooth.a=1/DP
Dedendum (d)
The radial distance from the pitch circle to the bottom of the tooth.d=wh-a
Whole Depth (wd)
The full height of the tooth.wd=2.157/DP
Tooth Radius (r)
Radius of tooth profile.r=3/4CP
Chordal Thickness (ct)
The straight line thickness of a gear tooth measured on the pitch circle.ct=PDsin(90/N)
Circular Pitch (cp)
The distance from a point on one tooth to the corresponding point on the adjacent tooth, measured on the pitch circle.cp=3.1416/DP
ASSIGNMENT
Create a pair of gears using the following data:
12 Tooth
2.4 Pitch Diameter
12 Tooth
2.4 Pitch DiameterN = Number of Teeth 12
PD = Pitch Diameter 2.4
DP = Diametral Pitch N/PD =12/2.4 =5
A = Addendum 1/DP =1/5 =.2
D = Dedendum WD‐A =.4314‐.2 =.2314
OD = Outside Diameter (N+2)/DP =(12+2)/5 =2.8
RD = Root Diameter OD‐(2WD) =2.8‐(2(.4314)) =1.94
WD = Whole Depth 2.157/DP =2.157/5 =.4314
CT = Cordial Thickness PDsin(90/N) =6sin(90/30) =.313
CP=Circular Pitch 3.14.16/DP =3.1416/5 =.6283
R=Tooth Radius ¾(CP) =3/4(.6283) =.471
N = Number of Teeth 12
PD = Pitch Diameter 2.4
DP = Diametral Pitch N/PD =12/2.4 =5
A = Addendum 1/DP =1/5 =.2
D = Dedendum WD‐A =.4314‐.2 =.2314
OD = Outside Diameter (N+2)/DP =(12+2)/5 =2.8
RD = Root Diameter OD‐(2WD) =2.8‐(2(.4314)) =1.94
WD = Whole Depth 2.157/DP =2.157/5 =.4314
CT = Cordial Thickness PDsin(90/N) =6sin(90/30) =.313
CP=Circular Pitch 3.14.16/DP =3.1416/5 =.6283
R=Tooth Radius ¾(CP) =3/4(.6283) =.471
30 Tooth
6.00 Pitch Diameter
30 Tooth
6.00 Pitch DiameterN = Number of Teeth 30
PD = Pitch Diameter 6.00
DP = Diametral Pitch N/PD =30/6 =5
A = Addendum 1/DP =1/5 =.2
D = Dedendum WD‐A =.4314‐.2 =.2314
OD = Outside Diameter (N+2)/DP =(30+2)/5 =6.4
RD = Root Diameter OD‐(2WD) =6.4‐(2(.4314)) =5.5372
WD = Whole Depth 2.157/DP =2.157/5 =.4314
CT = Cordial Thickness PDsin(90/N) =6sin(90/30) =.313
CP=Circular Pitch 3.14.16/DP =3.1416/5 =.6283
R=Tooth Radius ¾(CP) =3/4(.6283) =.471
N = Number of Teeth 30
PD = Pitch Diameter 6.00
DP = Diametral Pitch N/PD =30/6 =5
A = Addendum 1/DP =1/5 =.2
D = Dedendum WD‐A =.4314‐.2 =.2314
OD = Outside Diameter (N+2)/DP =(30+2)/5 =6.4
RD = Root Diameter OD‐(2WD) =6.4‐(2(.4314)) =5.5372
WD = Whole Depth 2.157/DP =2.157/5 =.4314
CT = Cordial Thickness PDsin(90/N) =6sin(90/30) =.313
CP=Circular Pitch 3.14.16/DP =3.1416/5 =.6283
R=Tooth Radius ¾(CP) =3/4(.6283) =.471