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 André Dewispelaere
Organization Dware
Date 13-05-2015

Bevel gear type Spiral Gleason metric FM

Basic rack tooth profile Symbol Unit Pinion Gear
Pressure angle αP °.dec 20.0000 20.0000
Addendum factor khaP -- 1.00 1.00
Dedendum factor khfP -- 1.25 1.25
Root radius factor kρfP -- 0.30 0.30
Reference to standard -- -- DIN 780 DIN 780

Gear set parameters Gleas m FM Symbol Unit Pinion Gear
Outer transverse module met mm 5.0000 5.0000
Outer tranverse diametral pitch Pdet /in 0.0000 0.0000
Number of teeth z -- 14 45
Tandbreedte b mm 36.00 36.00
Mean spiral angle βm °.dec 35.0000 35.00000
Hand of spiral -- -- left right
Outer pitch diameter de2 mm -- 225.000
Profile shift coefficient xhm -- 0.250 --
Thickness modification coefficient xsmn -- 0.020 --
Shaft angle Σ °.dec 90.0000 90.0000
Dijver -- -- Pinion --
Clearance -- -- uniform uniform
Outer plane -- -- conic conic
Inner plane -- -- planar conic
Cutter radius rc0 mm 95.250 95.250
Addendum angle wheel θa2 °.dec -- 1.9910
Dedendum angle wheel θf2 °.dec -- 2.9851
Geometry calculation Symbol Unit Pinion Gear
Gear ratio u -- 3.2143 3.2143
Pitch angle δ °.dec 17.2815 72.7185
Mean cone Symbol Unit Pinion Gear
Mean cone distance Rm mm 99.819 99.819
Mean pitch diameter dm mm 59.306 190.626
Mean transverse module mmt mm 4.2361 4.2361
Mean normal module mmn mm 3.4700 3.4700
Mean addendum ham mm 4.338 2.603
Mean dedendum hfm mm 3.470 5.205
Mean whole depth hm mm 7.808 7.808
Clearance c mm 0.868 0.868
Addendum angle θa °.dec 2.9851 1.9910
Dedendum angle θf °.dec 1.9910 2.9851
Face angle δa °.dec 20.2666 74.7095
Root angle δf °.dec 15.2905 69.7334
Dist mean pitch- to crossing point tzm mm 95.313 29.653
Pitch apex beyond crossing point tz mm 0.000 0.000
Face apex beyond crossing point tzF mm -2.506 -0.898
Root apex beyond crossing ploint tzR mm -0.007 0.000
Outer cone Symbol Unit Pinion Gear
Outer cone distance Re mm 117.819 117.819
Outer pitch diameter de mm 70.000 225.000
Outer transverse module met mm 5.0000 5.0000
Outer spiral angle βe °.dec 41.3371 41.3371
Outer addendum hae mm 5.277 3.229
Outer dedendum hfe mm 4.096 6.144
Outer whole depth he mm 9.373 9.373
Dist outer pitch - to cross point tze mm 112.500 35.000
Outside diameter dae mm 80.078 226.918
Outside root diameter dfe mm 62.178 221.350
Inner cone Symbol Unit Pinion Gear
Inner cone distance Ri mm 81.819 81.819
Inner pitch diameter di mm 48.611 156.251
Inner transverse module mit mm 3.4722 3.4722
Inner spiral angle βi °.dec 29.3405 29.3405
Inner addendum hai mm 3.399 1.977
Inner dedendum hfi mm 2.844 4.266
Inner whole depth hi mm 6.243 6.243
Dist inner pitch- to cross point tzi mm 78.126 24.306
Inside diameter dai mm 55.102 157.426
Inside root diameter dfi mm 43.180 153.716
Plane reference crown gear Symbol Unit Pinion Gear
Number of teeth zP -- 47.1275 47.1275
Crown gear radius RP mm 117.819 117.819
Pitch angle τP °.dec 7.6388 7.6388
Machine distance Md mm 90.164 90.164
Mean nominal tooth thickness Symbol Unit Pinion Gear
Thickness modification factor xsmn -- 0.020 -0.020
Mean normal circular tooth thickn smn mm 6.221 4.680
Mean transverse circ tooth thickn smt mm 7.594 5.713
Gear boundary Symbol Unit Pinion Gear
Upper bound profile shift coeffic xhmG1 -- 1.048 --
Lower bound topland width samnG1 mm 1.04 1.04
Normal topland width samn mm 2.21 2.90
Lower bound profile shift coeffic xhmG2 -- -0.376 --
Whole depth perpendic to root cone ht mm 9.367 9.360
Base pitch pet mm 12.162 12.162
Face width / outer module ratio b/met -- 7.20 7.20
Face width / outer cone dist ratio b/Re -- 0.31 0.31
Dist crown to crossing point txo mm 110.932 31.917
Dist inner crown to crossing point txi mm 77.116 22.418