CYLINDRICAL INVOLUTE GEARS
CALCULATION REPORT
Order Port Authorities
Project Portaalkraan 50 T
Sub project Tandwielkast hijswerk
Item Tandwielstel trap 1 m=4.00
ID Pinion z21
ID Gear z66
Calculated by A. Dewispelaere
Company Dware
Date 06/02/2019

Input operating conditions Symbol Unit Pinion Gear
Expected service life Lh h 20000 20000
Service factor ID % 100.00 100.00
Lubricant viscosity ν40 mm▓/s 220 220
Element drives n gears -- -- 1 0
Element driven by n gears -- -- 0 1
Reversing load direction -- -- no no
Application field -- -- industrial industrial
Teeth flank roughness Ra Ám 0.800 0.800
Tooth root fillet roughness Raf Ám 1.600 1.600
Subject to shrink stress -- -- no no
Tangential shrink stress σt N/mm▓ 0.0 0.0

Contact pattern ISO 6336-1 Symbol Unit Pinion Gear
Pinion contact pattern location Fig.15 -- a) --
Bending arrangement ISO 6336-1 Symbol Unit Pinion Gear
Pinion shaft bending mode Fig.16 -- a) --

Profile modifications Symbol Unit Pinion Gear
Tip relief Ca Ám 0 0
End relief applied Ce -- no no
Crowning applied Cc -- no no
Pinion helix correction applied Cβ -- no --

Minimum required safety factors Symbol Unit Pinion Gear
Min safety factor contact stress SHmin -- 1.00 1.00
Min safety factor tooth root stres SFmin -- 1.60 1.60

Calculation load capacity Symbol Unit Pinion Gear
Reference diameter d mm 85.3 268.1
Tangential velocity vt m/s 1.13 1.13
Tangential force per face per mesh Ft N 26656 26656
Application factor KA -- 1.00 1.00
Specific load FtKA/b N/mm 533 533
Dynamic factor Kv-B -- 1.00 1.00
Calculation surface durability Symbol Unit Pinion Gear
Face load factor KHβ-C -- 1.25 1.25
Transverse load factor KHα-C -- 1.00 1.00
Zone factor ZH -- 2.39 2.39
Single pair tooth contact factors ZB,D -- 1.01 1.00
Elasticity factor ZE \/N/mm 188.6 188.6
Contact ratio factor Zε -- 0.83 0.83
Helix angle factor Zβ -- 0.99 0.99
Calculated contact stress σH N/mm▓ 1201 1189
Permissible contact stress Symbol Unit Pinion Gear
Work hardening factor ZW -- -- 1.00
Lubricant factor ZL -- 1.02 1.02
Velocity factor Zv -- 0.96 0.96
Roughness factor ZR -- 1.01 1.01
Size factor ZX -- 1.00 1.00
Number of load cycles NL Mcy 302.4 96.2
Life factor ZNT -- 0.97 0.99
Material diameter factor Zd -- 1.00 1.00
Permissible contact stress σHP N/mm▓ 1439 1469
Safety of surface durability Symbol Unit Pinion Gear
Safety factor for contact stress SH -- 1.20 1.24
Minimum required safety factor SHmin -- 1.00 1.00
Min required safety fact satisfied -- -- yes yes
Calculation bending strength Symbol Unit Pinion Gear
Tooth root chord sFn mm 8.44 8.98
Bending moment arm hFa mm 7.88 7.72
Load direction angle αFan ░.dec 31.299 23.631
Tooth root radius ρF mm 1.69 1.67
Calculation tooth root stress Symbol Unit Pinion Gear
Face load factor KFβ-C -- 1.20 1.20
Transverse load factor KFα-C -- 1.00 1.00
Form factor YFa-C -- 2.42 2.24
Stress correction factor YSa-C -- 1.76 1.84
Contact ratio factor Yε -- 0.72 0.72
Helix angle factor Yβ -- 0.94 0.94
Calculated tooth root stress σF N/mm▓ 461 446
Permissible tooth root stress Symbol Unit Pinion Gear
Domain of loading cycles -- -- long lSL long lSL
Life factor YNT -- 0.95 0.96
Relative notch sensitivity factor YδrelT -- 1.00 1.00
Relative surface factor YRrelT -- 1.00 1.00
Size factor YX -- 1.00 1.00
Stress correction factor YST -- 2.00 2.00
Alternating load factor YA -- 1.00 1.00
Shrink stress factor Yshr -- 1.00 1.00
Diameter correction factor Yd -- 1.00 1.00
Permissible tooth root stress σFP N/mm▓ 950 960
Safety tooth bending strength Symbol Unit Pinion Gear
Safety factor tooth breakage SF -- 2.06 2.15
Minimum required safety factor SFmin -- 1.60 1.60
Minimum safety factor satisfied -- -- yes yes