A shaft is supported by two ball bearings at the ends, as shown in Figure Q3. C Gear R1 R2 Figure Q3 a) Two loads on the shaft are FA = 1 kN and FB = 1.5 kN. The length of the shaft is a = 500 mm. The locations of the loads are b = 200 mm and c = 220 mm. Determine the reaction forces R1 and R2 at the bearings. b) The minimum required bearing life is 5000 hours. The shaft rotates at a constant speed of 1000 rpm. Determine the desired bearing life in revolutions. c) The two ball bearings should be identical. Determine the minimum value for the basic dynamic load rating C with 90% reliability. For your information: A sample page (Table Q3) from the SKF catalogue shows the use of the basic dynamic load rating C when selecting bearings. Pulley FA (2) FB H N 4

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Just part c
A shaft is supported by two ball bearings at the ends, as shown in Figure Q3.
13
D
Gear
R1
R2
Figure Q3
a) Two loads on the shaft are FA = 1 kN and FB = 1.5 kN. The length of the shaft is a = 500
mm. The locations of the loads are b = 200 mm and c = 220 mm. Determine the reaction
forces R1 and R2 at the bearings.
b) The minimum required bearing life is 5000 hours. The shaft rotates at a constant speed of
1000 rpm. Determine the desired bearing life in revolutions.
c) The two ball bearings should be identical. Determine the minimum value for the basic
dynamic load rating C with 90% reliability.
For your information: A sample page (Table Q3) from the SKF catalogue shows the use of
the basic dynamic load rating C when selecting bearings.
FA
FB
B
C
N
Transcribed Image Text:A shaft is supported by two ball bearings at the ends, as shown in Figure Q3. 13 D Gear R1 R2 Figure Q3 a) Two loads on the shaft are FA = 1 kN and FB = 1.5 kN. The length of the shaft is a = 500 mm. The locations of the loads are b = 200 mm and c = 220 mm. Determine the reaction forces R1 and R2 at the bearings. b) The minimum required bearing life is 5000 hours. The shaft rotates at a constant speed of 1000 rpm. Determine the desired bearing life in revolutions. c) The two ball bearings should be identical. Determine the minimum value for the basic dynamic load rating C with 90% reliability. For your information: A sample page (Table Q3) from the SKF catalogue shows the use of the basic dynamic load rating C when selecting bearings. FA FB B C N
DD₁
Principal dimensions
d
D
B
mm
14
17
cont
14
14
14
19
17
20
7
7
Dz
Basic load ratings
dynamic static
Fatigue
load limit
Speed ratings
Reference
speed
Limiting
C
speed¹
Co
P₁
kN
kN
r/min
14,3
6,55
0,275
34 000
22 000
14,3
6,55
0,275
11 000
14,3
6,55
0,275
34 000
17 000
14.3
6,55
0,275
34 000
17 000
13,5
6.55
0.275
11 000
22,9
10,8
0.455
28 000
18 000
4,03
2,32
0,104
13 000
4,03
2,32
0,104
45 000
22 000
4,03
2,32
0,104
45 000
28 000
6,37
3,65
0.156
12 000
6,37
3.65
0,156
43 000
20 000
6,37
3.65
0,156
43 000
26 000
7,28
4,05
0,173
38 000
24000
9,95
5
0,212
38 000
24 000
9,95
5
0,212
11 000
9,95
38 000
19 000
9,95
0,212
0,212
0,212
38 000
19 000
9.36
11 000
13,5
6.55
0.28
32 000
20 000
13,5
6.55
0,28
10 000
13.5
6.55
0.28
32 000
17 000
13,5
6.55
0,28
32 000
17 000
15,6
7,65
0.325
32 000
20 000
12,7
6.55
0,28
10 000
15,9
30 000
15 000
7,8
7,8
7,8
0,335
0,335
0,335
16,8
16,8
30 000
19 000
-
9 500
16,8
0,335
30 000
15 000
7,8
9
18.2
0,38
30 000
19 000
15,9
7,8
0,335
9 500
30.7
15
0,64
24 000
15 000
22
7,65
0.325
9.000
14
14
7,65
0,325
30 000
19 000
16
18.6
9,3
0,39
28 000
18 000
SKF Explorer bearing
Popular item
11 For bearings with only one shield or one non-contact seal [2, RZ) the limiting speeds of the apen bearings are valid
270
47
GCC GG 2 666 90G NOG GGG GGG CCC CCC ~ 28*
99981212 1226 L L418 15 155 5 51 19 ku6
47
47
47
47
62
32
32
32
42
42
42
47
47
47
47
47
47
52
52
52
12
52
52
52
72
50
50
56
129
14
14
14
15
21
d di
14
14
555
Mass
kg
0.11
0,12
0.12
0,12
0,16
0,27
0.018
0.018
0.018
0,038
0,038
0,037
0,051
0,067
0,067
0,069
0,071
0,086
0.11
0.11
0,11
0.11
0,098
0.13
0.15
0,14
0.15
0,15
0,14
0,21
0,41
0,12
0.12
0.18
AAP
22
2RSL
2RZ
N
a
2RS1
2RSH
Designations
Bearing
open or capped
on both sides
6303
6303-2RSH
6303-2RSL
6303-2Z
62303-2RS1
6403
61804-2RS1
61804-2RZ
61804
61904-2RS1
61904-2RZ
61904
16004
6004
► 6004-2RSH
6004-2RSL
6004-2Z
63004-2RS1
-6204
▸ 6204-2RSH
6204-2RSL
6204-22
6204 ETN9
62204-2RS1
6304-2RSL
6304-2RSH
6304-2Z
6304 ETN9
62304-2RS1
6404
62/22-2RS1
62/22
63/22
F
-6304
capped on one
sidel)
6303-RSH
6303-RSL
6303-Z
ITE
6004-RSH
6004-RSL
6004-Z
6204-RSH
6204-RSL
6204-Z
6304-RSL
6304-RSH
6304-Z
SKF.
Transcribed Image Text:DD₁ Principal dimensions d D B mm 14 17 cont 14 14 14 19 17 20 7 7 Dz Basic load ratings dynamic static Fatigue load limit Speed ratings Reference speed Limiting C speed¹ Co P₁ kN kN r/min 14,3 6,55 0,275 34 000 22 000 14,3 6,55 0,275 11 000 14,3 6,55 0,275 34 000 17 000 14.3 6,55 0,275 34 000 17 000 13,5 6.55 0.275 11 000 22,9 10,8 0.455 28 000 18 000 4,03 2,32 0,104 13 000 4,03 2,32 0,104 45 000 22 000 4,03 2,32 0,104 45 000 28 000 6,37 3,65 0.156 12 000 6,37 3.65 0,156 43 000 20 000 6,37 3.65 0,156 43 000 26 000 7,28 4,05 0,173 38 000 24000 9,95 5 0,212 38 000 24 000 9,95 5 0,212 11 000 9,95 38 000 19 000 9,95 0,212 0,212 0,212 38 000 19 000 9.36 11 000 13,5 6.55 0.28 32 000 20 000 13,5 6.55 0,28 10 000 13.5 6.55 0.28 32 000 17 000 13,5 6.55 0,28 32 000 17 000 15,6 7,65 0.325 32 000 20 000 12,7 6.55 0,28 10 000 15,9 30 000 15 000 7,8 7,8 7,8 0,335 0,335 0,335 16,8 16,8 30 000 19 000 - 9 500 16,8 0,335 30 000 15 000 7,8 9 18.2 0,38 30 000 19 000 15,9 7,8 0,335 9 500 30.7 15 0,64 24 000 15 000 22 7,65 0.325 9.000 14 14 7,65 0,325 30 000 19 000 16 18.6 9,3 0,39 28 000 18 000 SKF Explorer bearing Popular item 11 For bearings with only one shield or one non-contact seal [2, RZ) the limiting speeds of the apen bearings are valid 270 47 GCC GG 2 666 90G NOG GGG GGG CCC CCC ~ 28* 99981212 1226 L L418 15 155 5 51 19 ku6 47 47 47 47 62 32 32 32 42 42 42 47 47 47 47 47 47 52 52 52 12 52 52 52 72 50 50 56 129 14 14 14 15 21 d di 14 14 555 Mass kg 0.11 0,12 0.12 0,12 0,16 0,27 0.018 0.018 0.018 0,038 0,038 0,037 0,051 0,067 0,067 0,069 0,071 0,086 0.11 0.11 0,11 0.11 0,098 0.13 0.15 0,14 0.15 0,15 0,14 0,21 0,41 0,12 0.12 0.18 AAP 22 2RSL 2RZ N a 2RS1 2RSH Designations Bearing open or capped on both sides 6303 6303-2RSH 6303-2RSL 6303-2Z 62303-2RS1 6403 61804-2RS1 61804-2RZ 61804 61904-2RS1 61904-2RZ 61904 16004 6004 ► 6004-2RSH 6004-2RSL 6004-2Z 63004-2RS1 -6204 ▸ 6204-2RSH 6204-2RSL 6204-22 6204 ETN9 62204-2RS1 6304-2RSL 6304-2RSH 6304-2Z 6304 ETN9 62304-2RS1 6404 62/22-2RS1 62/22 63/22 F -6304 capped on one sidel) 6303-RSH 6303-RSL 6303-Z ITE 6004-RSH 6004-RSL 6004-Z 6204-RSH 6204-RSL 6204-Z 6304-RSL 6304-RSH 6304-Z SKF.
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