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. Operating conditions	Symbol	Unit	Pinion	Gear
2	Service life	Lh	h	25000	25000
3	Service rate	ID	%	100.00	100.00
4	Kinematic viscosity of lubricant	ν40	mm²/s	320	320
5	Lubricant peak temperature	TC	°C	85	85
6	Is driving n gears	--	--	1	--
7	Is driven by n gears	--	--	--	1
8	Is idler gear	--	--	no	no
9	2. Teeth finish	Symbol	Unit	Pinion	Gear
10	Flank surface roughness	Ra	µm	1.600	1.600
11	Root fillet surface roughness	Raf	µm	3.200	3.200
12	Effective face width ratio	beff/b	--	0.85	0.85
13	Protuberance angle	αpr	°.dec	0.0000	0.0000
14	Protuberance coefficient	pr*	--	0.000	0.000
15	3. Load capacity parameters	Symbol	Unit	Pinion	Gear
16	Mesh stiffness	cγ0	N/mm.µm	20.0	20.0
17	Mesh single stiffness	c'0	N/mm.µm	14.0	14.0
18	Bevel gear factor	Zk	--	0.80	0.80
19	Min safety factor contact stress	SHlim	--	1.00	1.00
20	Min safety factor tooth root stres	SFlim	--	1.40	1.40
21	Crowning	--	--	no	no
22	End mill cutter used	--	--	no	no
23	Speed conversion	--	--	R reducing	R reducing
24	4. Load capacity calculation	Symbol	Unit	Pinion	Gear
25	Gear ISO quality grade	Qg	--	6	6
26	Mean module	mnm	mm	3.213	3.213
27	Mean spiral angle	βm	°.dec	35.0000	35.0000
28	Face with contact stress	b	mm	25.4	25.4
29	Mean force action diameter	dm	mm	54.9	153.0
30	Nominal tangential force	Ftm	N	11713	11713
31	Tangential speed	vtm	m/s	4.27	4.27
32	Calculated effective face width	be	mm	21.6	21.6
33	Application factor	KA	--	1.00	1.00
34	Load per unit face width	Ftm0	N/mm	542	542
35	Modified mesh stiffness	cγm	N/mm.µm	20.0	20.0
36	Modified mesh single stiffness	c'm	N/mm.µm	14.0	14.0
37	Mass/unit facewidth on contactline	mred	kg/mm	0.00883	0.00883
38	Pinion resonance frequency	nE1	Hz	541.037	--
39	Resonance ratio	N	--	0.046	--
40	Working domain	--	--	subcritical	--
41	5. Calculation contact stress	Symbol	Unit	Pinion	Gear
42	Dynamic factor	Kv-B	--	1.02	1.02
43	Face load distribution factor	KHβ-C	--	1.50	1.50
44	Transv load distribution factor	KHα-C	--	1.00	1.00
45	Mid-zone factor	ZMB	--	0.92	0.92
46	Zone factor	ZH	--	2.13	2.13
47	Elasticity factor	ZE	--	188.6	188.6
48	Load sharing factor	ZLS	--	1.00	1.00
49	Spiral angle factor	Zβ	--	0.91	0.91
50	Bevel gear factor	ZK	--	0.80	0.80
51	Calculated contact stress	σH	N/mm²	1151	1151
52	6. Calc permissible contact stress	Symbol	Unit	Pinion	Gear
53	Size factor	ZX	--	1.00	1.00
54	Lubricant factor	ZL	--	1.05	1.05
55	Speed factor	Zv	--	0.98	0.98
56	Roughness factor	ZR	--	0.96	0.96
57	Work hardening factor	ZW	--	1.00	1.00
58	Number of load cycles	NL	Mcy	2227.500	799.615
59	Life factor	ZNT	--	0.94	0.96
60	Permissible contact stress	σHP	N/mm²	1393	1422
61	Safety factor for contact stress	SH	--	1.21	1.24
62	7. Calculation tooth root stress	Symbol	Unit	Pinion	Gear
63	Tooth root chord	sFn	mm	7.503	7.038
64	Incidence angle	αFan	°.dec	31.4892	20.5523
65	Bending moment arm	hFa	mm	6.332	6.238
66	Fillet radius at contact point	ρF	mm	1.146	1.396
67	Dynamic factor	Kv-B	--	1.02	1.02
68	Face load distribution factor	KFβ-C	--	1.50	1.50
69	Transv load distribution factor	KFα-C	--	1.00	1.00
70	Tooth form factor	YFa-B1	--	1.97	2.42
71	Stress correction factor	YSa-B1	--	1.97	1.79
72	Contact ratio factor	Yε-B1	--	0.63	0.63
73	Bevel gear factor	YK-B1	--	1.06	1.06
74	Load sharing factor	YLS-B1	--	1.00	1.00
75	Calculated tooth root stress	σF	N/mm²	565	630
76	8. Permissible tooth root stress	Symbol	Unit	Pinion	Gear
77	Relative sensivity factor	YδrelT	--	1.01	1.00
78	Surface condition factor	YRrelT	--	0.99	0.99
79	Size factor	YX	--	1.00	1.00
80	Number of load cycles	NL	Mcy	2227.500	799.615
81	Life factor	YNT	--	0.93	0.94
82	Stress correction factor st gear	YST	--	2.00	2.00
83	Alternating stress factor	YA	--	1.00	1.00
84	Permissible tooth root stress	σFP	N/mm²	930	931
85	Safety factor on tooth root stress	SF	--	1.65	1.48