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