CYLINDRICAL INVOLUTE GEARS
CALCULATION REPORT
Order	Dware
Project	Mixer
Sub project	Gear Box
Item	Stage 4 m4
ID Gear1	z14
ID Gear2	z61
Calculated by	André Dewisspelaere
Company	Dware
Date	09/06/2023

1	4. Input operating conditions	Symbol	Unit	Gear1	Gear2
2	Expected service life	Lh	h	20000	20000
3	Service factor	ID	%	100.00	100.00
4	Lubricant viscosity	ν40	mm˛/s	150	150
5	Element drives n gears	--	--	1	0
6	Element driven by n gears	--	--	0	1
7	Reversing load direction	--	--	no	no
8	Application field	--	--	industrial	industrial
9	Usable flank roughness	Ra	µm	0.400	0.400
10	Fillet surface roughness	Raf	µm	0.800	0.800
11	Subject to shrink stress	--	--	no	no
12	Tangential shrink stress	σt	N/mm˛	0.0	0.0

1	5. Contact pattern ISO 6336-1	Symbol	Unit	Gear1	Gear2
2	Contact pattern location gear1	Fig.15	--	a)	--
3	Bending arrangement ISO 6336-1	Symbol	Unit	Gear1	Gear2
4	Bending mode shaft gear1	Fig.16	--	a)	--

1	6. Profile modifications	Symbol	Unit	Gear1	Gear2
2	Tip relief	Ca	µm	20	25
3	End relief applied	Ce	--	no	no
4	Crowning applied	Cc	--	no	no
5	Helix correction gear1 applied	Cβ	--	no	--

1	7. Required minimal safety factors	Symbol	Unit	Gear1	Gear2
2	Min safety factor contact stress	SHmin	--	1.12	1.12
3	Min safety factor root stress	SFmin	--	1.60	1.60

1	1. Calculation load capacity	Symbol	Unit	Gear1	Gear2
2	Reference diameter	d	mm	86.6	272.1
3	Tangential velocity	vt	m/s	1.142	1.142
4	Tangential force per face per mesh	Ft	N	19260	19260
5	Application factor	KA	--	1.25	1.25
6	Specific load	KAFt/b	N/mm	401	401
7	Dynamic factor	Kv-B	--	1.00	1.00
8	2. Calculation surface durability	Symbol	Unit	Gear1	Gear2
9	Face load factor	KHβ-C	--	1.25	1.25
10	Transverse load factor	KHα-C	--	1.00	1.00
11	Zone factor	ZH	--	2.26	2.26
12	Single pair tooth contact factors	ZB,D	--	1.00	1.00
13	Elasticity factor	ZE	/N/mm	188.6	188.6
14	Contact ratio factor	Zε	--	0.85	0.85
15	Helix angle factor	Zβ	--	0.99	0.99
16	Calculated contact stress	σH	N/mm˛	991	991
17	3. Permissible contact stress	Symbol	Unit	Gear1	Gear2
18	Work hardening factor	ZW	--	--	1.00
19	Lubricant factor	ZL	--	0.99	0.99
20	Velocity factor	Zv	--	0.96	0.96
21	Roughness factor	ZR	--	1.07	1.07
22	Size factor	ZX	--	1.00	1.00
23	Number of load cycles	NL	Mcy	302.4	96.2
24	Life factor	ZNT	--	0.97	0.99
25	Material diameter factor	Zd	--	1.00	1.00
26	Permissible contact stress	σHP	N/mm˛	1430	1460
27	4. Safety of surface durability	Symbol	Unit	Gear1	Gear2
28	Safety factor for contact stress	SH	--	1.44	1.47
29	Required minimum safety factor	SHmin	--	1.12	1.12
30	Minimal safety factor satisfied	--	--	yes	yes
31	5. Calculation bending strength	Symbol	Unit	Gear1	Gear2
32	Tooth root chord	sFn	mm	8.88	9.23
33	Bending moment arm	hFa	mm	7.68	7.51
34	Load direction angle	αFan	°.dec	32.063	24.738
35	Tooth root radius	ρF	mm	1.45	1.34
36	6. Calculation tooth root stress	Symbol	Unit	Gear1	Gear2
37	Face load factor	KFβ-C	--	1.21	1.21
38	Transverse load factor	KFα-C	--	1.00	1.00
39	Form factor	YFa-C	--	2.11	2.04
40	Stress correction factor	YSa-C	--	1.91	2.02
41	Contact ratio factor	Yε	--	0.76	0.76
42	Helix angle factor	Yβ	--	0.88	0.88
43	Calculated tooth root stress	σF	N/mm˛	327	335
44	7. Permissible tooth root stress	Symbol	Unit	Gear1	Gear2
45	Domain of loading cycles	--	--	long SL	long SL
46	Life factor	YNT	--	0.95	0.96
47	Relative notch sensitivity factor	YδrelT	--	1.00	1.00
48	Relative surface factor	YRrelT	--	1.00	1.00
49	Size factor	YX	--	1.00	1.00
50	Stress correction factor	YST	--	2.00	2.00
51	Alternating load factor	YA	--	1.00	1.00
52	Shrink stress factor	Yshr	--	1.00	1.00
53	Diameter correction factor	Yd	--	1.00	1.00
54	Permissible tooth root stress	σFP	N/mm˛	874	883
55	8. Safety tooth bending strength	Symbol	Unit	Gear1	Gear2
56	Safety factor tooth root stress	SF	--	2.67	2.64
57	Required minimal safety factor	SFmin	--	1.60	1.60
58	Minimal safety factor satisfied	--	--	yes	yes