Select suitable gears for the gear wheels and pinion's for a gearbox  required to transmit 17.75 kW from a shaft rotating at 2550rpm. The desired output speed is approximately 11925 rpm. For space limitation and standardization reasons, a double step-up gearbox is requested with equal ratios.Use the material '817M40'

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Select suitable gears for the gear wheels and pinion's for a gearbox  required to transmit 17.75 kW from a shaft rotating at 2550rpm. The desired output speed is approximately 11925 rpm. For space limitation and standardization reasons, a double step-up gearbox is requested with equal ratios.Use the material '817M40' 

Y
$ = 20°
$ = 20°
0.8 m
b = m
a = m
N, Number of teeth
b = 1.25 m
12
0.33512
0.22960
13
0.34827
0.24317
0.25530
0.26622
14
0.35985
15
0.37013
16
0.37931
0.27610
17
0.38757
0.28508
18
0.39502
0.29327
19
0.40179
0.30078
20
0.40797
0.30769
21
0.41363
0.31406
22
0.41883
0.31997
24
0.42806
0.33056
26
0.43601
0.33979
28
0.44294
0.34790
30
0.44902
0.35510
34
38
0.45920
0.36731
0.46740
0.37727
45
0.47846
0.39093
50
0.48458
0.39860
60
0.49391
0.41047
75
0.50345
0.42283
100
0.51321
0.43574
150
0.52321
0.44930
300
0.53348
0.46364
Rack
0.54406
0.47897
Permissible bending
stress o, (MPa)
Material
Treatment
Outs (MPa)
Nylon
Tufnol
65 (20 °C)
27
110
31
080M40
540
131
080M40
Induction hardened
540
117
817M40
772
221
817M40
Induction hardened
772
183
045M10
494
117
045M10
Case hardened
494
276
Case hardened
655M13
849
345
Preferred standard gear teeth numbers.
12
13
14
15
16
18
20
22
24
25
28
30
32
34
38
40
45
50
54
60
64
70
72
75
80
84
90
96
100
120
140
150
180
200
220
250
Transcribed Image Text:Y $ = 20° $ = 20° 0.8 m b = m a = m N, Number of teeth b = 1.25 m 12 0.33512 0.22960 13 0.34827 0.24317 0.25530 0.26622 14 0.35985 15 0.37013 16 0.37931 0.27610 17 0.38757 0.28508 18 0.39502 0.29327 19 0.40179 0.30078 20 0.40797 0.30769 21 0.41363 0.31406 22 0.41883 0.31997 24 0.42806 0.33056 26 0.43601 0.33979 28 0.44294 0.34790 30 0.44902 0.35510 34 38 0.45920 0.36731 0.46740 0.37727 45 0.47846 0.39093 50 0.48458 0.39860 60 0.49391 0.41047 75 0.50345 0.42283 100 0.51321 0.43574 150 0.52321 0.44930 300 0.53348 0.46364 Rack 0.54406 0.47897 Permissible bending stress o, (MPa) Material Treatment Outs (MPa) Nylon Tufnol 65 (20 °C) 27 110 31 080M40 540 131 080M40 Induction hardened 540 117 817M40 772 221 817M40 Induction hardened 772 183 045M10 494 117 045M10 Case hardened 494 276 Case hardened 655M13 849 345 Preferred standard gear teeth numbers. 12 13 14 15 16 18 20 22 24 25 28 30 32 34 38 40 45 50 54 60 64 70 72 75 80 84 90 96 100 120 140 150 180 200 220 250
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