T-83
Table 10-6 presents equations for chordal thickness of a standard straight bevel gear.
Table 10-6 Equations for Chordal Thickness of Standard Straight Bevel Gears
No.
Item
Example
Formula
Symbol
1
2
3
4
5
6
Circular Tooth Thickness
Number of Teeth of an Equivalent
Spur Gear
Back Cone Distance
Half of Tooth Angle at Pitch
Circle
Chordal Thickness
Chordal Addendum
s
zv
Rv
qv
sj
hj
pm
–––
2
z
–––––
cosd
d
––––––
2cosd
90
–––
zv
zv m
sinqv
ha + Rv (1 – cosqv)
m = 4
a
= 20°
S
= 90°
z1 = 16
z2 = 40
d1 = 64
d2 = 160
ha = 4.0000
d1 = 21.8014°
d2 = 68.1986°
s
= 6.2832
zv1 = 17.2325
zv2 = 107.7033
Rv1 = 34.4650
Rv2 = 215.4066
q v1 = 5.2227°
q v2 = 0.83563°
sj1 = 6.2745
sj2 = 6.2830
hj1 = 4.1431
hj2 = 4.0229
0.7
0.6
0.5
0.4
0.3
0.2
0.1
z1
Speed Ratio, –––
z2
13
14
15
16
17
18
19
20
21
22
23
24
Over 25
.110
.100
.090
.080
.070
.060
.050
.040
.030
.020
.010
.000
Fig. 10-2 Chart to Determine the Circular Tooth Thickness Factor K for
Gleason Straight Bevel Gear
