BEVEL GEARS
CALCULATION REPORT
Order	Dware
Project	Demo BevGear
Subproject	Spiral bevel gear set
Project item	Gleas FM ISO 23509 page 79
Pinion ID	z1 = 14
Gear ID	z2 = 39
Calculated by	André Dewispelaere
Organization	Dware
Date	26/09/2023

Bevel gear type

Spiral Gleason metric FM

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

1	2. Gear set paramet Gleas metr FM	Symbol	Unit	Pinion	Gear
2	Outer transverse module	met	mm	4.5360	4.5360
3	Outer tranverse diametral pitch	Pdet	/in	0.0000	0.0000
4	Number of teeth	z	--	14	39
5	Tandbreedte	b	mm	25.40	25.40
6	Mean spiral angle	βm	°.dec	35.0000	35.00000
7	Hand of spiral	--	--	left	right
8	Outer pitch diameter	de2	mm	--	176.893
9	Profile shift coefficient	xhm	--	0.505	--
10	Thickness modification coefficient	xsmn	--	0.046	--
11	Shaft angle	Σ	°.dec	90.0000	90.0000
12	Driver	--	--	Pinion	--
13	Clearance	--	--	uniform	uniform
14	Outer plane	--	--	conic	conic
15	Inner plane	--	--	planar	conic
16	Cutter radius	rc0	mm	114.300	114.300
17	Addendum angle wheel	θa2	°.dec	--	2.1342
18	Dedendum angle wheel	θf2	°.dec	--	6.4934
19	3. Geometry calculation	Symbol	Unit	Pinion	Gear
20	Gear ratio	u	--	2.7857	2.7857
21	Pitch angle	δ	°.dec	19.7468	70.2532
22	4. Data at mean cone	Symbol	Unit	Pinion	Gear
23	Mean cone distance	Rm	mm	81.273	81.273
24	Mean pitch diameter	dm	mm	54.919	152.987
25	Mean transverse module	mmt	mm	3.9227	3.9227
26	Mean normal module	mmn	mm	3.2133	3.2133
27	Mean addendum	ham	mm	4.836	1.591
28	Mean dedendum	hfm	mm	2.394	5.639
29	Mean whole depth	hm	mm	7.230	7.230
30	Clearance	c	mm	0.803	0.803
31	Addendum angle	θa	°.dec	6.4934	2.1342
32	Dedendum angle	θf	°.dec	2.1342	6.4934
33	Face angle	δa	°.dec	26.2402	72.3874
34	Root angle	δf	°.dec	17.6126	63.7598
35	Dist mean pitch- to crossing point	tzm	mm	76.494	27.459
36	Pitch apex beyond crossing point	tz	mm	0.000	0.000
37	Face apex beyond crossing point	tzF	mm	-9.931	-1.507
38	Root apex beyond crossing ploint	tzR	mm	2.093	4.000
39	5. Data at outer cone	Symbol	Unit	Pinion	Gear
40	Outer cone distance	Re	mm	93.973	93.973
41	Outer pitch diameter	de	mm	63.500	176.893
42	Outer transverse module	met	mm	4.5357	4.5357
43	Outer spiral angle	βe	°.dec	36.8458	36.8458
44	Outer addendum	hae	mm	6.282	2.064
45	Outer dedendum	hfe	mm	2.867	7.084
46	Outer whole depth	he	mm	9.149	9.148
47	Dist outer pitch - to cross point	tze	mm	88.447	31.750
48	Outside diameter	dae	mm	75.325	178.288
49	Outside root diameter	dfe	mm	58.103	172.106
50	6. Data at inner cone	Symbol	Unit	Pinion	Gear
51	Inner cone distance	Ri	mm	68.573	68.573
52	Inner pitch diameter	di	mm	46.337	129.081
53	Inner transverse module	mit	mm	3.3098	3.3098
54	Inner spiral angle	βi	°.dec	33.9455	33.9455
55	Inner addendum	hai	mm	3.390	1.118
56	Inner dedendum	hfi	mm	1.921	4.194
57	Inner whole depth	hi	mm	5.311	5.312
58	Dist inner pitch- to cross point	tzi	mm	63.500	23.168
59	Inside diameter	dai	mm	52.718	129.836
60	Inside root diameter	dfi	mm	42.721	126.247
61	7. Crown gear	Symbol	Unit	Pinion	Gear
62	Number of teeth	zP	--	41.4367	41.4367
63	Crown gear radius	RPe	mm	93.973	93.973
64	Pitch angle	τP	°.dec	8.6879	8.6879
65	Machine distance	Md	mm	94.938	94.938
66	8. Mean nominal tooth thickness	Symbol	Unit	Pinion	Gear
67	Thickness modification factor	xsmn	--	0.046	-0.046
68	Mean normal circular tooth thickn	smn	mm	6.524	3.571
69	Mean transverse circ tooth thickn	smt	mm	7.964	4.359
70	9. Gear boundary	Symbol	Unit	Pinion	Gear
71	Upper bound profile shift coeffic	xhmG1	--	1.165	--
72	Lower bound topland width	samnG1	mm	0.96	0.96
73	Normal topland width	samn	mm	1.73	2.70
74	Lower bound profile shift coeffic	xhmG2	--	-0.397	--
75	Whole depth perpendic to root cone	ht	mm	9.138	9.091
76	Base pitch	pet	mm	11.262	11.262
77	Face width / outer module ratio	b/met	--	5.60	5.60
78	Face width / outer cone dist ratio	b/Re	--	0.27	0.27
79	Dist crown to crossing point	txo	mm	86.325	29.807
80	Dist inner crown to crossing point	txi	mm	63.500	22.116

1	1. Dimensioning	Symbol	Unit	Pinion	Gear
2	Mounting distance	Dr	mm	91.000	45.000
3	Distance crown to back	tx	mm	4.675	15.193
4	Complementary cone diameter	dbc	mm	49.279	167.380
5	Inner mounting distance	Dri	mm	63.500	29.000
6	Dist outer - inner pitch point	bz	mm	24.947	8.582
7	Distance outer - inner crown	baz	mm	22.825	7.691
8	Web thickness	tw	mm	27.500	16.000
9	Inner complementary cone diameter	dfc	mm	0.000	124.894
10	Modified inner root diameter	dfik	mm	41.582	126.247
11	Dist ref plane to inner crown	lb	mm	27.500	22.884
12	2. Contact ratio	Symbol	Unit	Pinion	Gear
13	Transverse contact ratio	εα	--	1.150	1.150
14	Overlap ratio	εβ	--	1.459	1.459
15	Total contact ratio	εγ	--	1.858	1.858
16	3. Force action point	Symbol	Unit	Pinion	Gear
17	Distance ref plane to action point	zr	mm	14.5	17.5
18	Action diameter	dr	mm	54.9	153.0
19	Spiral angle in action point	βr	°.dec	35.0000	35.0000
20	Axial force factor concave fl dr	fFa-D	--	-0.809	-0.182
21	Radial force factor concave fl dr	fFr-D	--	-0.182	-0.809
22	Axial force factor convex fl dr	fFa-C	--	0.509	-0.655
23	Radial force factor convex fl dr	fFr-C	--	-0.655	0.509