A gearbox is needed to provide an exact increase in speed, whileminimizing the overall gearbox size. The input and output shafts should bein-line. Specify appropriate teeth numbers. The gearbox is required totransmit 18 kW from a shaft rotating at 2650 rpm. The desired output speedis exactly 13250 rpm. For space limitation and standardization reasons adouble step-up gearbox is requested. Using the limited selection of gearspresented in Tables 6.7 to 6.10, select suitable gears for the gears andpinions242650 rpmTable 6.7 Spur gears: 1.0 module, heavy duty steel 817M40, 655M13, face width 15 mmOuter Boss BorePartPCD diameter diameter diameternumber Teeth (mm) (mm) (mm) (mm)SG1.9 9SG1-10 10SG1-11 11SG1-12 1210:00 12:00 1211.00 13.00 1312.00 14.00 1412.00 14.00 14SG1-13 13 1300 15.00 15 6SG1-14 14 1400 16.00 16 615.00 17.00SG1-15 156SG1-16 1616.00 18.00SG1-17 1717.00 19.00 18SG1-18 1818.00 20.00 18SG1-19 1919:00 21.00SG1-20 202000 220021.00 23002200 24.0023.00 25.002400 2600SG1-25 25 25.00 27.00SG1-26 26 26.00 28.00SG1-27 27 27.00 29.00SG1-21 21SG1-22 22SG1-23 23SG1-24 24SG1-28 28SG1-29 29SG1-30 30SG1-31 31SG1-32 32SG1-33 33SG1-34 34SG1-35 35SG1-36 36SG1-37 37SG1-38 38SG1-39 39SG1-40 40SG1-41 41SG1-42 42SG1-43 43SG1-44 44SG1-45 45Partnumber TeethSG3-9 9SG3-10 10SG3-11 11SG3-12 12SG3-13 13SG3-14 14SG3-21 21SG3-22 22SG3-23 23SG3-24 24SG3-25 25SG3-26 26SG3-27 27SG3-28 28SG3-29 29SG3-30 30SG3-31 3128.00 30.0029.00 31.00SG3-32 32SG3-33 33SG3-34 34Table 6.10 Spur gears: 3.0 module, heavy duty steel 817M40, 655M13, face width 35 mmBoreOuter BossPCD diameter diameter diameter(mm) (mm) (mm) (mm)3000 360033.00 390036.00 4200 4236.00 4200 4239.00 45.0042.00 480045.00 510048.00 54.00 4551.00 57.00454545SG3-15 15SG3-16 16SG3-17 1745SG3-18 18 54.00 60.00 45SG3-19 19SG3-20 2057.00 6300 4560.00 6600 6063.00 69.00 6066.00 72.006069.00 75.00 6017184018202030.00 32.00 252531.00 33.0032.00 34.00 251200 250033.00 35.00 253400 36.00 2535.00 37.00 2536.00 38.00 3037.00 39.0038.00 40.0039.00 41.0040.00 42.0041.00 43.0030304200 44.00 303043.00 45.0044.00 46.0045.00 47.00 3030363972.00 78.00 6075.00 81006078.00 84.00 6081.00 8700 6084.00 900060609000 9600 6093.00 99.00 6087.00 93.00108.00 11400111.00 1170096.00 10200 6099.00 105.0060102.00 10800 75105.00 1110075SG3-35 35SG3-36 36SG3-37 37SG3-38 38SG3-39 39SG3-40SG3-41 4112000 12600 7512300 129.00 75SG3-42 42 126.00 13200 75SG3-43 43 129.00 135.00 75SG3-44 44 132.00 138.00 1007575666114.00 12000 75117.00 1230075151515202020202020202025252525252525D25252525252513250 rpm-----55.00 57.00PartPCDnumber Teeth (mm)SG1-46 46 46.00SG1-47 47 47,00SG1-48 48 48.00SG1-49 49 49.00SG1-50 50 50.00SG1-51 5151.00SG1-52 52 52.00 54.00 35SG1-53 53 53.00 55.00 35SG1-54 54 $4.00 56.00 35SG1-55 5535SG1-56 56 56.00 58.00 35SG1-57 57 57.00 59.00 35SG1-58 58 58.00 60.00 35SG1-59 59 59.00 61.00 35SG1-60 60 60.00SG1-61 61 61.00SG1-62 62 62.00SG1-63 63 63.00SG1-64 64 64.00SG1-4565 6500SG1-66 66 66.00SG1-48 68 68.00 70.00 35SG1-70 70 70.00 72.00 35SG1-72 72 72.00 74.00 35SG1-7474 74,00 76.00 45SG1-76 7676.00 78.00 45SG1-78 78 78.00 8000 45SG1-80 80 80.00 82.00 45SG1-84 84 84.00 86.00 45SG1-8888 88.00 90.00 45SG1-90 90 90.00 92.00 45SG1-96 96 96.00 98.00 45SG1-100 100 100.00 102.00 45SG1-112 112SG1-120 120 120.00 122.00 45SG1-130 130 13000 132.00 45SG1-150 150 15000 152.00 4567.00 3568.00 35112.00 114.00 45Outer Boss Borediameter diameter diameter(mm) (mm) (mm)CamScanner48.00 3049.00 3050.00 30$1.00 3052.00 3553.00 3562.00 3563.00 3564.00 3565.0066.0035100SG3-45 45 135.00 141.00 100SG3-46 46 13800 14400SG3-47 47 141.00 147.00 100SG3-48 48SG3-49 49SG3-50 50SG3-51 51SG3-52 52SG3-53 53SG3-54 54SG3-55 55SG3-56 56SG3-57 57144.00 150.00 100147.00 153.00 10015000 156.00 10015300 15900 100156.00 16200 100159.00 165.00 100162.00 168.00 100165.00 171.00 10016800 17400 100171.00 177.00 127SG3-58 5812712712717400 18000177.00 18300SG3-59 59SG3-60 6015015018000 18600SG3-62 62 186.00 192.00SG3-63 63 189.00 195.00SG3-64 64 19200 198.00SG3-65 65 195.00 201.00SG3-68 68 204.00 210.00SG3-70 70 21000 216.00SG3-72 72216.00 222.00SG3-75 752225.00 231.00SG3-76 76 228.00 234.00mSG3-78 78 234.00 240.00 150SG3-80 80 24000 24600 150SG3-82 82 246.00 252.00 150SG3-84 84 252.00 258.00 150SG3-86 86 258.00 264.00 150SG390 90 270.00 276.00 150SG3.92 92 276.00 282.00 150SG394 94 282.00 288.00 150SG3-95 95 285.00 291.00 150SG3.96 96 288.00 294.00 1501508127127127127127150150881010101010101010101010101010101010Cuter Boss BorePCDdiameter diameter diameterPartnumber Teeth (mm) (mm) (mm) (mm)1010101010101010101010101010252525252525252525252530303010*30303030303030303030

Given:Achieve an exact output speed of 13250 rpm while minimizing gearbox size and transmitting 18…

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

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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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

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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