A gearbox is needed to provide an exact increase in speed, while minimizing the overall gearbox size. The input and output shafts should be in-line. Specify appropriate teeth numbers. The gearbox is required to transmit 18 kW from a shaft rotating at 2650 rpm. The desired output speed is exactly 13250 rpm. For space limitation and standardization reasons a double step-up gearbox is requested. Using the limited selection of gears presented in Tables 6.7 to 6.10, select suitable gears for the gears and pinions

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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A gearbox is needed to provide an exact increase in speed, while
minimizing the overall gearbox size. The input and output shafts should be
in-line. Specify appropriate teeth numbers. The gearbox is required to
transmit 18 kW from a shaft rotating at 2650 rpm. The desired output speed
is exactly 13250 rpm. For space limitation and standardization reasons a
double step-up gearbox is requested. Using the limited selection of gears
presented in Tables 6.7 to 6.10, select suitable gears for the gears and
pinions
24
2650 rpm
Table 6.7 Spur gears: 1.0 module, heavy duty steel 817M40, 655M13, face width 15 mm
Outer Boss Bore
Part
PCD diameter diameter diameter
number Teeth (mm) (mm) (mm) (mm)
SG1.9 9
SG1-10 10
SG1-11 11
SG1-12 12
10:00 12:00 12
11.00 13.00 13
12.00 14.00 14
12.00 14.00 14
SG1-13 13 1300 15.00 15 6
SG1-14 14 1400 16.00 16 6
15.00 17.00
SG1-15 15
6
SG1-16 16
16.00 18.00
SG1-17 17
17.00 19.00 18
SG1-18 18
18.00 20.00 18
SG1-19 19
19:00 21.00
SG1-20 20
2000 2200
21.00 2300
2200 24.00
23.00 25.00
2400 2600
SG1-25 25 25.00 27.00
SG1-26 26 26.00 28.00
SG1-27 27 27.00 29.00
SG1-21 21
SG1-22 22
SG1-23 23
SG1-24 24
SG1-28 28
SG1-29 29
SG1-30 30
SG1-31 31
SG1-32 32
SG1-33 33
SG1-34 34
SG1-35 35
SG1-36 36
SG1-37 37
SG1-38 38
SG1-39 39
SG1-40 40
SG1-41 41
SG1-42 42
SG1-43 43
SG1-44 44
SG1-45 45
Part
number Teeth
SG3-9 9
SG3-10 10
SG3-11 11
SG3-12 12
SG3-13 13
SG3-14 14
SG3-21 21
SG3-22 22
SG3-23 23
SG3-24 24
SG3-25 25
SG3-26 26
SG3-27 27
SG3-28 28
SG3-29 29
SG3-30 30
SG3-31 31
28.00 30.00
29.00 31.00
SG3-32 32
SG3-33 33
SG3-34 34
Table 6.10 Spur gears: 3.0 module, heavy duty steel 817M40, 655M13, face width 35 mm
Bore
Outer Boss
PCD diameter diameter diameter
(mm) (mm) (mm) (mm)
3000 3600
33.00 3900
36.00 4200 42
36.00 4200 42
39.00 45.00
42.00 4800
45.00 5100
48.00 54.00 45
51.00 57.00
45
45
45
SG3-15 15
SG3-16 16
SG3-17 17
45
SG3-18 18 54.00 60.00 45
SG3-19 19
SG3-20 20
57.00 6300 45
60.00 6600 60
63.00 69.00 60
66.00 72.00
60
69.00 75.00 60
17
18
40
18
20
20
30.00 32.00 25
25
31.00 33.00
32.00 34.00 25
1200 2500
33.00 35.00 25
3400 36.00 25
35.00 37.00 25
36.00 38.00 30
37.00 39.00
38.00 40.00
39.00 41.00
40.00 42.00
41.00 43.00
30
30
4200 44.00 30
30
43.00 45.00
44.00 46.00
45.00 47.00 30
30
36
39
72.00 78.00 60
75.00 8100
60
78.00 84.00 60
81.00 8700 60
84.00 9000
60
60
9000 9600 60
93.00 99.00 60
87.00 93.00
108.00 11400
111.00 11700
96.00 10200 60
99.00 105.00
60
102.00 10800 75
105.00 11100
75
SG3-35 35
SG3-36 36
SG3-37 37
SG3-38 38
SG3-39 39
SG3-40
SG3-41 41
12000 12600 75
12300 129.00 75
SG3-42 42 126.00 13200 75
SG3-43 43 129.00 135.00 75
SG3-44 44 132.00 138.00 100
75
75
6
6
6
114.00 12000 75
117.00 12300
75
15
15
15
20
20
20
20
20
20
20
20
25
25
25
25
25
25
25
D
25
25
25
25
25
25
13250 rpm
-----
55.00 57.00
Part
PCD
number Teeth (mm)
SG1-46 46 46.00
SG1-47 47 47,00
SG1-48 48 48.00
SG1-49 49 49.00
SG1-50 50 50.00
SG1-51 51
51.00
SG1-52 52 52.00 54.00 35
SG1-53 53 53.00 55.00 35
SG1-54 54 $4.00 56.00 35
SG1-55 55
35
SG1-56 56 56.00 58.00 35
SG1-57 57 57.00 59.00 35
SG1-58 58 58.00 60.00 35
SG1-59 59 59.00 61.00 35
SG1-60 60 60.00
SG1-61 61 61.00
SG1-62 62 62.00
SG1-63 63 63.00
SG1-64 64 64.00
SG1-45
65 6500
SG1-66 66 66.00
SG1-48 68 68.00 70.00 35
SG1-70 70 70.00 72.00 35
SG1-72 72 72.00 74.00 35
SG1-74
74 74,00 76.00 45
SG1-76 76
76.00 78.00 45
SG1-78 78 78.00 8000 45
SG1-80 80 80.00 82.00 45
SG1-84 84 84.00 86.00 45
SG1-88
88 88.00 90.00 45
SG1-90 90 90.00 92.00 45
SG1-96 96 96.00 98.00 45
SG1-100 100 100.00 102.00 45
SG1-112 112
SG1-120 120 120.00 122.00 45
SG1-130 130 13000 132.00 45
SG1-150 150 15000 152.00 45
67.00 35
68.00 35
112.00 114.00 45
Outer Boss Bore
diameter diameter diameter
(mm) (mm) (mm)
CamScanner
48.00 30
49.00 30
50.00 30
$1.00 30
52.00 35
53.00 35
62.00 35
63.00 35
64.00 35
65.00
66.00
35
100
SG3-45 45 135.00 141.00 100
SG3-46 46 13800 14400
SG3-47 47 141.00 147.00 100
SG3-48 48
SG3-49 49
SG3-50 50
SG3-51 51
SG3-52 52
SG3-53 53
SG3-54 54
SG3-55 55
SG3-56 56
SG3-57 57
144.00 150.00 100
147.00 153.00 100
15000 156.00 100
15300 15900 100
156.00 16200 100
159.00 165.00 100
162.00 168.00 100
165.00 171.00 100
16800 17400 100
171.00 177.00 127
SG3-58 58
127
127
127
17400 18000
177.00 18300
SG3-59 59
SG3-60 60
150
150
18000 18600
SG3-62 62 186.00 192.00
SG3-63 63 189.00 195.00
SG3-64 64 19200 198.00
SG3-65 65 195.00 201.00
SG3-68 68 204.00 210.00
SG3-70 70 21000 216.00
SG3-72 72
216.00 222.00
SG3-75 75
2
225.00 231.00
SG3-76 76 228.00 234.00
m
SG3-78 78 234.00 240.00 150
SG3-80 80 24000 24600 150
SG3-82 82 246.00 252.00 150
SG3-84 84 252.00 258.00 150
SG3-86 86 258.00 264.00 150
SG390 90 270.00 276.00 150
SG3.92 92 276.00 282.00 150
SG394 94 282.00 288.00 150
SG3-95 95 285.00 291.00 150
SG3.96 96 288.00 294.00 150
150
8
127
127
127
127
127
150
150
8
8
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
Cuter Boss Bore
PCD
diameter diameter diameter
Part
number Teeth (mm) (mm) (mm) (mm)
10
10
10
10
10
10
10
10
10
10
10
10
10
10
25
25
25
25
25
25
25
25
25
25
25
30
30
30
10
*
30
30
30
30
30
30
30
30
30
30
Transcribed Image Text:A gearbox is needed to provide an exact increase in speed, while minimizing the overall gearbox size. The input and output shafts should be in-line. Specify appropriate teeth numbers. The gearbox is required to transmit 18 kW from a shaft rotating at 2650 rpm. The desired output speed is exactly 13250 rpm. For space limitation and standardization reasons a double step-up gearbox is requested. Using the limited selection of gears presented in Tables 6.7 to 6.10, select suitable gears for the gears and pinions 24 2650 rpm Table 6.7 Spur gears: 1.0 module, heavy duty steel 817M40, 655M13, face width 15 mm Outer Boss Bore Part PCD diameter diameter diameter number Teeth (mm) (mm) (mm) (mm) SG1.9 9 SG1-10 10 SG1-11 11 SG1-12 12 10:00 12:00 12 11.00 13.00 13 12.00 14.00 14 12.00 14.00 14 SG1-13 13 1300 15.00 15 6 SG1-14 14 1400 16.00 16 6 15.00 17.00 SG1-15 15 6 SG1-16 16 16.00 18.00 SG1-17 17 17.00 19.00 18 SG1-18 18 18.00 20.00 18 SG1-19 19 19:00 21.00 SG1-20 20 2000 2200 21.00 2300 2200 24.00 23.00 25.00 2400 2600 SG1-25 25 25.00 27.00 SG1-26 26 26.00 28.00 SG1-27 27 27.00 29.00 SG1-21 21 SG1-22 22 SG1-23 23 SG1-24 24 SG1-28 28 SG1-29 29 SG1-30 30 SG1-31 31 SG1-32 32 SG1-33 33 SG1-34 34 SG1-35 35 SG1-36 36 SG1-37 37 SG1-38 38 SG1-39 39 SG1-40 40 SG1-41 41 SG1-42 42 SG1-43 43 SG1-44 44 SG1-45 45 Part number Teeth SG3-9 9 SG3-10 10 SG3-11 11 SG3-12 12 SG3-13 13 SG3-14 14 SG3-21 21 SG3-22 22 SG3-23 23 SG3-24 24 SG3-25 25 SG3-26 26 SG3-27 27 SG3-28 28 SG3-29 29 SG3-30 30 SG3-31 31 28.00 30.00 29.00 31.00 SG3-32 32 SG3-33 33 SG3-34 34 Table 6.10 Spur gears: 3.0 module, heavy duty steel 817M40, 655M13, face width 35 mm Bore Outer Boss PCD diameter diameter diameter (mm) (mm) (mm) (mm) 3000 3600 33.00 3900 36.00 4200 42 36.00 4200 42 39.00 45.00 42.00 4800 45.00 5100 48.00 54.00 45 51.00 57.00 45 45 45 SG3-15 15 SG3-16 16 SG3-17 17 45 SG3-18 18 54.00 60.00 45 SG3-19 19 SG3-20 20 57.00 6300 45 60.00 6600 60 63.00 69.00 60 66.00 72.00 60 69.00 75.00 60 17 18 40 18 20 20 30.00 32.00 25 25 31.00 33.00 32.00 34.00 25 1200 2500 33.00 35.00 25 3400 36.00 25 35.00 37.00 25 36.00 38.00 30 37.00 39.00 38.00 40.00 39.00 41.00 40.00 42.00 41.00 43.00 30 30 4200 44.00 30 30 43.00 45.00 44.00 46.00 45.00 47.00 30 30 36 39 72.00 78.00 60 75.00 8100 60 78.00 84.00 60 81.00 8700 60 84.00 9000 60 60 9000 9600 60 93.00 99.00 60 87.00 93.00 108.00 11400 111.00 11700 96.00 10200 60 99.00 105.00 60 102.00 10800 75 105.00 11100 75 SG3-35 35 SG3-36 36 SG3-37 37 SG3-38 38 SG3-39 39 SG3-40 SG3-41 41 12000 12600 75 12300 129.00 75 SG3-42 42 126.00 13200 75 SG3-43 43 129.00 135.00 75 SG3-44 44 132.00 138.00 100 75 75 6 6 6 114.00 12000 75 117.00 12300 75 15 15 15 20 20 20 20 20 20 20 20 25 25 25 25 25 25 25 D 25 25 25 25 25 25 13250 rpm ----- 55.00 57.00 Part PCD number Teeth (mm) SG1-46 46 46.00 SG1-47 47 47,00 SG1-48 48 48.00 SG1-49 49 49.00 SG1-50 50 50.00 SG1-51 51 51.00 SG1-52 52 52.00 54.00 35 SG1-53 53 53.00 55.00 35 SG1-54 54 $4.00 56.00 35 SG1-55 55 35 SG1-56 56 56.00 58.00 35 SG1-57 57 57.00 59.00 35 SG1-58 58 58.00 60.00 35 SG1-59 59 59.00 61.00 35 SG1-60 60 60.00 SG1-61 61 61.00 SG1-62 62 62.00 SG1-63 63 63.00 SG1-64 64 64.00 SG1-45 65 6500 SG1-66 66 66.00 SG1-48 68 68.00 70.00 35 SG1-70 70 70.00 72.00 35 SG1-72 72 72.00 74.00 35 SG1-74 74 74,00 76.00 45 SG1-76 76 76.00 78.00 45 SG1-78 78 78.00 8000 45 SG1-80 80 80.00 82.00 45 SG1-84 84 84.00 86.00 45 SG1-88 88 88.00 90.00 45 SG1-90 90 90.00 92.00 45 SG1-96 96 96.00 98.00 45 SG1-100 100 100.00 102.00 45 SG1-112 112 SG1-120 120 120.00 122.00 45 SG1-130 130 13000 132.00 45 SG1-150 150 15000 152.00 45 67.00 35 68.00 35 112.00 114.00 45 Outer Boss Bore diameter diameter diameter (mm) (mm) (mm) CamScanner 48.00 30 49.00 30 50.00 30 $1.00 30 52.00 35 53.00 35 62.00 35 63.00 35 64.00 35 65.00 66.00 35 100 SG3-45 45 135.00 141.00 100 SG3-46 46 13800 14400 SG3-47 47 141.00 147.00 100 SG3-48 48 SG3-49 49 SG3-50 50 SG3-51 51 SG3-52 52 SG3-53 53 SG3-54 54 SG3-55 55 SG3-56 56 SG3-57 57 144.00 150.00 100 147.00 153.00 100 15000 156.00 100 15300 15900 100 156.00 16200 100 159.00 165.00 100 162.00 168.00 100 165.00 171.00 100 16800 17400 100 171.00 177.00 127 SG3-58 58 127 127 127 17400 18000 177.00 18300 SG3-59 59 SG3-60 60 150 150 18000 18600 SG3-62 62 186.00 192.00 SG3-63 63 189.00 195.00 SG3-64 64 19200 198.00 SG3-65 65 195.00 201.00 SG3-68 68 204.00 210.00 SG3-70 70 21000 216.00 SG3-72 72 216.00 222.00 SG3-75 75 2 225.00 231.00 SG3-76 76 228.00 234.00 m SG3-78 78 234.00 240.00 150 SG3-80 80 24000 24600 150 SG3-82 82 246.00 252.00 150 SG3-84 84 252.00 258.00 150 SG3-86 86 258.00 264.00 150 SG390 90 270.00 276.00 150 SG3.92 92 276.00 282.00 150 SG394 94 282.00 288.00 150 SG3-95 95 285.00 291.00 150 SG3.96 96 288.00 294.00 150 150 8 127 127 127 127 127 150 150 8 8 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 Cuter Boss Bore PCD diameter diameter diameter Part number Teeth (mm) (mm) (mm) (mm) 10 10 10 10 10 10 10 10 10 10 10 10 10 10 25 25 25 25 25 25 25 25 25 25 25 30 30 30 10 * 30 30 30 30 30 30 30 30 30 30
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