CYLINDRICAL WORM GEAR PAIR
CALCULATION REPORT
Order Dware
Project Demo
Sub project Niemann-Winter Band III
Item S. 102 Voorbeeld 3
ID worm z1=1
ID gear z2=40
Calculated by André Dewispelaere
Company Dware
On date 12/07/2023

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

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

1 3. Input geometry Symbol Unit Worm Wheel
2 Axial -, transverse module mx mm 10.420 10.420
3 Number of starts and dents z -- 1 40
4 Helix hand -- -- right right
5 Lead angle γ °.dec 7.13860 --
6 Center distance a mm 250.000 250.000
7 4. Calculation geometry Symbol Unit Worm Wheel
8 Reference diameter d mm 83.200 416.800
9 Diameter quotient q -- 7.985 --
10 Lead angle γ ° ' " 7° 8'18" 7° 8'18"
11 Center distance a mm 250.000 250.000
12 Wheel profile shift coefficient x2 -- -- 0.0000
13 Lead pz mm 32.7354 --
14 Gear ratio u -- 40.0000 40.0000
15 5. Axial -, transverse profile Symbol Unit Worm Wheel
16 Axial -, transverse pressure angle αx,t °.dec 20.14373 20.14373
17 Axial -, transverse module mx,t mm 10.4200 10.4200
18 Axial -, transverse pitch px,t mm 32.7354 32.7354
19 Mean axial transv tooth thickness sxm,tm mm 15.939 16.368
20 Mean axial transverse space width exm,tm mm 16.796 16.367
21 Mean axial tranverse backlash jxm,tm mm 0.429 0.000
22 6. Normal tooth profile Symbol Unit Worm Wheel
23 Normal pressure angle αn °.dec 20.00000 20.00000
24 Normal module mn mm 10.3392 10.3392
25 Normal pitch pn mm 32.482 32.482
26 Mean normal tooth thickness snm mm 15.815 16.241
27 Mean normal space width enm mm 16.666 16.241
28 Mean normal backlash jnm mm 0.400 0.000
29 7. Worm and wheel dimensions Symbol Unit Worm Wheel
30 Tip -, throat diameter da mm 104.040 437.640
31 Root diameter df mm 58.192 391.792
32 Addendum ha mm 10.420 10.420
33 Dedendum hf mm 12.504 12.504
34 Tooth depth h mm 22.924 22.924
35 Bottom clearance c mm 2.084 2.084
36 8. Input wheel crown Symbol Unit Worm Wheel
37 Face width at tip ba2 mm -- 59.620
38 Chamfer angle φ °.dec -- 20.00000
39 Outside diameter de2 mm -- 446.000
40 Face width at root b mm 167.000 70.000
41 Crown rim width bc2 mm -- 73.000
42 9. Calculation wheel crown Symbol Unit Worm Wheel
43 Throat radius ra2 mm -- 31.180
44 Root toroid radius rf2 mm -- 54.104
45 Face width at tip ba2 mm -- 59.620
46 Face width at root b2 mm -- 70.000
47 Crown rim width bc2 mm -- 73.000
48 Effective face width beff mm -- 62.467
49 Face width sweep angle θ °.dec -- 84.56989
50 Chamfer angle φ °.dec -- 20.000
51 Chamfer diameter dc2 mm -- 409.242
52 Chamfer width bk mm -- 6.690
53 Chamfer depth hk mm -- 18.379
54 Inside rim diameter dr2 mm -- 346.00
55 Operating pitch circle diameter dv mm 83.200 416.800