CYLINDRICAL WORM GEAR PAIR
CALCULATION REPORT
Order Dware
Project WormGear
Sub project Niemann-Winter Band III
Item Beispiel 3 Page 102
ID worm z_1 = 1
ID gear z_2 = 40
Calculated by André Dewispelaere
Company Dware
On date 28/09/2021

Input flank form for worm Symbol Unit Worm Wheel
Flank form Z -- E --

Input basic rack Symbol Unit Worm Wheel
Tool pressure angle α0 °.dec 20.0000 --
Normal pressure angle αn °.dec 20.0000 --
Tool reference diameter d0 mm 120.000 --
Module defined as mx mm axial axial
Addendum coefficient kha -- 1.000 1.000
Dedendum coefficient khf -- 1.200 1.200

Input geometry Symbol Unit Worm Wheel
Axial -, transverse module mx mm 10.420 10.420
Number of starts and dents z -- 1 40
Helix hand -- -- right right
Reference diameter d1 mm 83.200 --
Center distance a mm 250.000 250.000
Calculation geometry Symbol Unit Worm Wheel
Reference diameter d mm 83.200 416.800
Diameter quotient q -- 7.985 --
Lead angle γ ° ' " 7° 8'18" 7° 8'18"
Center distance a mm 250.000 250.000
Wheel profile shift coefficient x2 -- -- 0.0000
Lead pz mm 32.7354 --
Gear ratio u -- 40.0000 40.0000
Axial -, transverse profile Symbol Unit Worm Wheel
Axial -, transverse pressure angle αx,t °.dec 20.14373 20.14373
Axial -, transverse module mx,t mm 10.4200 10.4200
Axial -, transverse pitch px,t mm 32.7354 32.7354
Mean axial transv tooth thickness sxm,tm mm 15.939 16.368
Mean axial transverse space width exm,tm mm 16.796 16.367
Mean axial tranverse backlash jxm,tm mm 0.429 0.000
Normal tooth profile Symbol Unit Worm Wheel
Normal pressure angle αn °.dec 20.00000 20.00000
Normal module mn mm 10.3392 10.3392
Normal pitch pn mm 32.482 32.482
Mean normal tooth thickness snm mm 15.815 16.241
Mean normal space width enm mm 16.666 16.241
Mean normal backlash jnm mm 0.400 0.000
Worm and wheel dimensions Symbol Unit Worm Wheel
Tip -, throat diameter da mm 104.040 437.640
Root diameter df mm 58.192 391.792
Addendum ha mm 10.420 10.420
Dedendum hf mm 12.504 12.504
Tooth depth h mm 22.924 22.924
Bottom clearance c mm 2.084 2.084
Input wheel crown Symbol Unit Worm Wheel
Face width at tip ba2 mm -- 59.620
Chamfer angle φ °.dec -- 20.00000
Outside diameter de2 mm -- 446.000
Face width at root b1,2 mm 170.000 70.000
Crown rim width bc2 mm -- 72.000
Calculation wheel crown Symbol Unit Worm Wheel
Throat radius ra2 mm -- 31.180
Root toroid radius rf2 mm -- 54.104
Face width at tip ba2 mm -- 59.620
Face width at root b2 mm -- 70.000
Crown rim width bc2 mm -- 72.000
Effective face width beff mm -- 62.467
Face width sweep angle θ °.dec -- 84.56989
Chamfer angle φ °.dec -- 20.000
Chamfer diameter dc2 mm -- 411.990
Chamfer width bk mm -- 6.190
Chamfer depth hk mm -- 17.005
Inside rim diameter dr2 mm -- 340.00
Operating pitch circle diameter dv mm 83.200 416.800