BEVEL GEARS
CALCULATION PROTOCOL
Order Dware
Project Portal Crane
Subproject Gear Box Riding Drive
Project item Stage I
Pinion ID BEV-10001
Gear ID BEV-10002
Calculated by Andr Dewispelaere
Organization Dware
Date 13-05-2015

Bevel gear type Spiral Gleason metric FM

Operating conditions Symbol Unit Pinion Gear
Service life Lh h 25000 25000
Service rate ID % 100.00 100.00
Kinematic viscosity of lubricant ν40 mm/s 220 220
Lubricant peak temperature TC C 80 80
Is driving n gears -- -- 1 --
Is driven by n gears -- -- -- 1
Is idler gear -- -- no no
Teeth finish Symbol Unit Pinion Gear
Flank surface roughness Ra m 1.600 1.600
Root fillet surface roughness Raf m 3.200 3.200
Effective face width ratio beff/b -- 0.85 0.85
Protuberance angle αpr .dec 0.0000 0.0000
Protuberance coefficient pr* -- 0.000 0.000
Load capacity parameters Symbol Unit Pinion Gear
Mesh stiffness cγ0 N/mm.m 20.0 20.0
Mesh single stiffness c'0 N/mm.m 14.0 14.0
Bevel gear factor Zk -- 0.80 0.80
Min safety factor contact stress SHlim -- 1.00 1.00
Min safety factor tooth root stres SFlim -- 1.40 1.40
Crowning -- -- no no
End mill cutter used -- -- no no
Speed conversion -- -- R reducing R reducing
Load capacity calculation Symbol Unit Pinion Gear
Gear ISO quality grade Qg -- 6 6
Mean module mnm mm 3.470 3.470
Mean spiral angle βm .dec 35.0000 35.0000
Face with contact stress b mm 36.0 36.0
Mean force action diameter dm mm 59.3 190.6
Nominal tangential force Ftm N 16103 16103
Tangential speed vtm m/s 3.11 3.11
Calculated effective face width be mm 30.6 30.6
Application factor KA -- 1.25 1.25
Load per unit face width Ftm0 N/mm 658 658
Modified mesh stiffness cγm N/mm.m 20.0 20.0
Modified mesh single stiffness c'm N/mm.m 14.0 14.0
Mass/unit facewidth on contactline mred kg/mm 0.01030 0.01030
Pinion resonance frequency nE1 Hz 500.943 --
Resonance ratio N -- 0.033 --
Working domain -- -- subcritical --
Calculation contact stress Symbol Unit Pinion Gear
Dynamic factor Kv-B -- 1.01 1.01
Face load distribution factor KHβ-C -- 1.50 1.50
Transv load distribution factor KHα-C -- 1.00 1.00
Mid-zone factor ZMB -- 0.96 0.96
Zone factor ZH -- 2.13 2.13
Elasticity factor ZE -- 188.6 188.6
Load sharing factor ZLS -- 0.93 0.93
Spiral angle factor Zβ -- 0.91 0.91
Bevel gear factor ZK -- 0.80 0.80
Calculated contact stress σH N/mm 1260 1260
Calc permissible contact stress Symbol Unit Pinion Gear
Size factor ZX -- 1.00 1.00
Lubricant factor ZL -- 1.02 1.02
Speed factor Zv -- 0.97 0.97
Roughness factor ZR -- 0.95 0.95
Work hardening factor ZW -- 1.00 1.00
Number of load cycles NL Mcy 1500.000 466.667
Life factor ZNT -- 0.95 0.97
Permissible contact stress σHP N/mm 1339 1368
Safety factor for contact stress SH -- 1.06 1.09
Calculation tooth root stress Symbol Unit Pinion Gear
Tooth root chord sFn mm 7.498 8.085
Incidence angle αFan .dec 29.8343 20.7084
Bending moment arm hFa mm 6.758 6.739
Fillet radius at contact point ρF mm 1.479 1.301
Dynamic factor Kv-B -- 1.01 1.01
Face load distribution factor KFβ-C -- 1.48 1.48
Transv load distribution factor KFα-C -- 1.00 1.00
Tooth form factor YFa-B1 -- 2.31 2.14
Stress correction factor YSa-B1 -- 1.79 1.95
Contact ratio factor Yε-B1 -- 0.63 0.63
Bevel gear factor YK-B1 -- 1.10 1.10
Load sharing factor YLS-B1 -- 0.86 0.86
Calculated tooth root stress σF N/mm 589 594
Permissible tooth root stress Symbol Unit Pinion Gear
Relative sensivity factor YδrelT -- 1.00 1.01
Surface condition factor YRrelT -- 0.99 0.99
Size factor YX -- 1.00 1.00
Number of load cycles NL Mcy 1500.000 466.667
Life factor YNT -- 0.94 0.95
Stress correction factor st gear YST -- 2.00 2.00
Alternating stress factor YA -- 1.00 1.00
Permissible tooth root stress σFP N/mm 931 950
Safety factor on tooth root stress SF -- 1.58 1.60