1 |
1. Operating conditions |
Symbol |
Unit |
Pinion |
Gear |
2 |
Service life |
Lh |
h |
25000 |
25000 |
3 |
Service rate |
ID |
% |
100.00 |
100.00 |
4 |
Kinematic viscosity of lubricant |
ν40 |
mm²/s |
320 |
320 |
5 |
Lubricant peak temperature |
TC |
°C |
85 |
85 |
6 |
Is driving n gears |
-- |
-- |
1 |
-- |
7 |
Is driven by n gears |
-- |
-- |
-- |
1 |
8 |
Is idler gear |
-- |
-- |
no |
no |
9 |
2. Teeth finish |
Symbol |
Unit |
Pinion |
Gear |
10 |
Flank surface roughness |
Ra |
µm |
1.600 |
1.600 |
11 |
Root fillet surface roughness |
Raf |
µm |
3.200 |
3.200 |
12 |
Effective face width ratio |
beff/b |
-- |
0.85 |
0.85 |
13 |
Protuberance angle |
αpr |
°.dec |
0.0000 |
0.0000 |
14 |
Protuberance coefficient |
pr* |
-- |
0.000 |
0.000 |
15 |
3. Load capacity parameters |
Symbol |
Unit |
Pinion |
Gear |
16 |
Mesh stiffness |
cγ0 |
N/mm.µm |
20.0 |
20.0 |
17 |
Mesh single stiffness |
c'0 |
N/mm.µm |
14.0 |
14.0 |
18 |
Bevel gear factor |
Zk |
-- |
0.80 |
0.80 |
19 |
Min safety factor contact stress |
SHlim |
-- |
1.00 |
1.00 |
20 |
Min safety factor tooth root stres |
SFlim |
-- |
1.40 |
1.40 |
21 |
Crowning |
-- |
-- |
no |
no |
22 |
End mill cutter used |
-- |
-- |
no |
no |
23 |
Speed conversion |
-- |
-- |
R reducing |
R reducing |
24 |
4. Load capacity calculation |
Symbol |
Unit |
Pinion |
Gear |
25 |
Gear ISO quality grade |
Qg |
-- |
6 |
6 |
26 |
Mean module |
mnm |
mm |
3.213 |
3.213 |
27 |
Mean spiral angle |
βm |
°.dec |
35.0000 |
35.0000 |
28 |
Face with contact stress |
b |
mm |
25.4 |
25.4 |
29 |
Mean force action diameter |
dm |
mm |
54.9 |
153.0 |
30 |
Nominal tangential force |
Ftm |
N |
11713 |
11713 |
31 |
Tangential speed |
vtm |
m/s |
4.27 |
4.27 |
32 |
Calculated effective face width |
be |
mm |
21.6 |
21.6 |
33 |
Application factor |
KA |
-- |
1.00 |
1.00 |
34 |
Load per unit face width |
Ftm0 |
N/mm |
542 |
542 |
35 |
Modified mesh stiffness |
cγm |
N/mm.µm |
20.0 |
20.0 |
36 |
Modified mesh single stiffness |
c'm |
N/mm.µm |
14.0 |
14.0 |
37 |
Mass/unit facewidth on contactline |
mred |
kg/mm |
0.00883 |
0.00883 |
38 |
Pinion resonance frequency |
nE1 |
Hz |
541.037 |
-- |
39 |
Resonance ratio |
N |
-- |
0.046 |
-- |
40 |
Working domain |
-- |
-- |
subcritical |
-- |
41 |
5. Calculation contact stress |
Symbol |
Unit |
Pinion |
Gear |
42 |
Dynamic factor |
Kv-B |
-- |
1.02 |
1.02 |
43 |
Face load distribution factor |
KHβ-C |
-- |
1.50 |
1.50 |
44 |
Transv load distribution factor |
KHα-C |
-- |
1.00 |
1.00 |
45 |
Mid-zone factor |
ZMB |
-- |
0.92 |
0.92 |
46 |
Zone factor |
ZH |
-- |
2.13 |
2.13 |
47 |
Elasticity factor |
ZE |
-- |
188.6 |
188.6 |
48 |
Load sharing factor |
ZLS |
-- |
1.00 |
1.00 |
49 |
Spiral angle factor |
Zβ |
-- |
0.91 |
0.91 |
50 |
Bevel gear factor |
ZK |
-- |
0.80 |
0.80 |
51 |
Calculated contact stress |
σH |
N/mm² |
1151 |
1151 |
52 |
6. Calc permissible contact stress |
Symbol |
Unit |
Pinion |
Gear |
53 |
Size factor |
ZX |
-- |
1.00 |
1.00 |
54 |
Lubricant factor |
ZL |
-- |
1.05 |
1.05 |
55 |
Speed factor |
Zv |
-- |
0.98 |
0.98 |
56 |
Roughness factor |
ZR |
-- |
0.96 |
0.96 |
57 |
Work hardening factor |
ZW |
-- |
1.00 |
1.00 |
58 |
Number of load cycles |
NL |
Mcy |
2227.500 |
799.615 |
59 |
Life factor |
ZNT |
-- |
0.94 |
0.96 |
60 |
Permissible contact stress |
σHP |
N/mm² |
1393 |
1422 |
61 |
Safety factor for contact stress |
SH |
-- |
1.21 |
1.24 |
62 |
7. Calculation tooth root stress |
Symbol |
Unit |
Pinion |
Gear |
63 |
Tooth root chord |
sFn |
mm |
7.503 |
7.038 |
64 |
Incidence angle |
αFan |
°.dec |
31.4892 |
20.5523 |
65 |
Bending moment arm |
hFa |
mm |
6.332 |
6.238 |
66 |
Fillet radius at contact point |
ρF |
mm |
1.146 |
1.396 |
67 |
Dynamic factor |
Kv-B |
-- |
1.02 |
1.02 |
68 |
Face load distribution factor |
KFβ-C |
-- |
1.50 |
1.50 |
69 |
Transv load distribution factor |
KFα-C |
-- |
1.00 |
1.00 |
70 |
Tooth form factor |
YFa-B1 |
-- |
1.97 |
2.42 |
71 |
Stress correction factor |
YSa-B1 |
-- |
1.97 |
1.79 |
72 |
Contact ratio factor |
Yε-B1 |
-- |
0.63 |
0.63 |
73 |
Bevel gear factor |
YK-B1 |
-- |
1.06 |
1.06 |
74 |
Load sharing factor |
YLS-B1 |
-- |
1.00 |
1.00 |
75 |
Calculated tooth root stress |
σF |
N/mm² |
565 |
630 |
76 |
8. Permissible tooth root stress |
Symbol |
Unit |
Pinion |
Gear |
77 |
Relative sensivity factor |
YδrelT |
-- |
1.01 |
1.00 |
78 |
Surface condition factor |
YRrelT |
-- |
0.99 |
0.99 |
79 |
Size factor |
YX |
-- |
1.00 |
1.00 |
80 |
Number of load cycles |
NL |
Mcy |
2227.500 |
799.615 |
81 |
Life factor |
YNT |
-- |
0.93 |
0.94 |
82 |
Stress correction factor st gear |
YST |
-- |
2.00 |
2.00 |
83 |
Alternating stress factor |
YA |
-- |
1.00 |
1.00 |
84 |
Permissible tooth root stress |
σFP |
N/mm² |
930 |
931 |
85 |
Safety factor on tooth root stress |
SF |
-- |
1.65 |
1.48 |