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Wire
Measurements

  INTERNAL HELICAL GEARS
TO GET HAVING RULE FORMULA
N Number of teeth Given 16
DP Normal diametral pitch 6
h Pitch helix angle 12.16370
αn Normal pressure angle 25
sn Normal arc space width 0.26220
d Ball diameter 0.24000
αd Transverse pressure angle TAN(αd)=TAN(αn)/COS(h) 25.50193
sd Transverse arc space width sn/COS(h) 0.26822
H Base helix angle TAN(H)=TAN(h)COSαd 11.00905
dD Transverse ball diameter d/COS(H) 0.24450
PD Pitch diameter N/[DPCOS(h)] 2.72791
BD Base diameter PDCOS(αd) 2.46213
INVαd Involute function of ad TAN(αd)-[αd(π/180)] 0.03192
A   sd/PD 0.09833
dD   dD/BD 0.09930
INVβ Involute function of β A+INVαd-D 0.03095
β Pressure angle to ball center see tables page G14 25.25264
CC Twice the center distance of ball and gear BD/COS(β) 2.72229
DE Dimension under balls even # of teeth CC-d 2.48229
DO Dimension under balls odd # of teeth CCCOS(90/N)-d ********
Φ Pressure angle to point of tangency TAN(Φ)=TAN(β)+[dCOS(H)/BD] 29.56926
RT Radius to point of tangency BD/[2COS(Φ)] 1.41541

Determining Dimension
under Pins or Balls

 


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