CYLINDRICAL INVOLUTE GEARS
CALCULATION REPORT
Order Dware
Project Zylindrische Zahnräder
Sub project Demo
Item Zahnradpar m4.00
ID Pinion z21
ID Gear z66
Calculated by A. Dewispelaere
Company Dware
Date 13/06/2018

Geometry calculation Symbol Unit Pinion Gear
Normal module mn mm 4.00000 4.00000
Normal diametral pitch Pdn /in 6.35000 6.35000
Number of teeth z -- 21 66
Face width b mm 50.00 50.00
Reference helix angle β °.dec 10.00000 10.00000
Helix direction -- -- left right
Profile shift coefficient x -- 0.2790 0.0587
Center distance a mm 178.000 178.000
Gear ratio u -- 3.1429 3.1429
Transverse module mt mm 4.0617 4.0617
Reference diameter d mm 85.296 268.073
Operating pitch diameter dw mm 85.931 270.069
Base diameter db mm 80.007 251.449
Addendum truncation coefficient k -- 0.000 0.000
Tip diameter da mm 95.528 276.542
Theoretical root diameter df mm 77.528 258.542
Addendum ha mm 5.116 4.235
Dedendum hf mm 3.884 4.765
Tooth depth h mm 9.000 9.000
Bottom clearance c mm 0.965 0.965
Transverse pressure angle αt °.dec 20.28356 20.28356
Transv operating pressure angle αwt °.dec 21.40018 21.40018
Normal tooth thickness sn mm 7.096 6.454
Normal crest width san mm 2.408 3.141
Normal tooth thickness at base cir sbn mm 7.897 9.927
Normal tooth thickness at V-circle svn mm 6.370 6.293
Normal space width en mm 5.471 6.113
Normal space width at tip circle ean mm 11.612 9.810
Normal space width at base circle ebn mm 3.912 1.881
Normal space width at V-circle evn mm 6.516 6.295
Transverse contact ratio εα -- 1.563 1.563
Overlap ratio εβ -- 0.691 0.691
Total contact ratio εγ -- 2.254 2.254
Ratio axial/tangential force Fa/Ft -- 0.176 0.176
Gear bounds respected -- -- yes yes
Face width/module ratio b1/mn -- 12.50 --
Face width/reference diam ratio b1/d1 -- 0.59 --
Face width/center distance ratio b1/a -- 0.28 --
Good balanced gearing P4 PCl -- P4 --