BEVEL GEARS
CALCULATION REPORT
Order Dware
Project Demo BevGear
Subproject Spiral bevel gear set
Project item Gleas FM ISO 23509 page 79
Pinion ID z1 = 14
Gear ID z2 = 39
Calculated by André Dewispelaere
Organization Dware
Date 26/09/2023

Bevel gear type Spiral Gleason metric FM

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