A motor (located at C) provides 50kW of power which is then used by pulleys A and B. When the motor is running, the transmission shaft (which is made of Cr-Ni steel and has a diameter of 5cm) starts rotating at a speed of 200 rpm. 1) Find the moment of force at pulleys A, B and C. 2) Find the torque in each section (between the pulleys). 3) What is the safety factor of the driveshaft on the ultimate limit?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A motor (located at C) provides 50kW of power which is then used by pulleys A and B. When the motor is running, the transmission shaft (which is made of Cr-Ni steel and has a diameter of 5cm) starts rotating at a speed of 200 rpm.

1) Find the moment of force at pulleys A, B and C.

2) Find the torque in each section (between the pulleys).

3) What is the safety factor of the driveshaft on the ultimate limit?

 

Roulement à billes
20 kW
A
1,2 m
50 kW
30 kW
o
B
*
0,4 m →
A
Roulement à billes
Transcribed Image Text:Roulement à billes 20 kW A 1,2 m 50 kW 30 kW o B * 0,4 m → A Roulement à billes
Cr-Ni
steel
Compos, tion
Composition
A
Acier AISI 1020
Acier AISI 1045
Acier AISI 1095
Acier G40.21
Acier 0,6% C
Acier 3,5% Ni
Acier Cr-Ni
Tableau B.1: Propriétés physiques de quelques matériaux
Ultimate limits Elastic limits Characteristic propreties
Limites ultimes
Limites élastiques
Acier inoxydable 304
Fer forgé
Fonte cl. 20
Fonte cl. 40
Fonte cl. 60
Al 3003-H14
Al 6061-T6
Al 6351-T6
Al 7075-T6
Cu
Alliage Mg
Laiton
JUT
συc
MPa MPa
448
448
655
655
979
979
448
448
760
760
760
760*
895
895
579
579
324
324
138
276
414
310
290
538
393
290
421
552
862
1172
255
205
Tu
MPa
MPa
345
310
483
414
724 572
345
585
450
262
221
379
448
OLET OLEC
255
140
275
310
415
380
760
241
193
97
145
207
276
170 255
317
462
TLE
MPa MPa
338
205
345
310
414
572
310
415
380
760
241
193
255
195
225
250
205
450
150
110
Propriétés caractéristiques
G
E
GPa GPa x10-6/°C
a
207
79
207
79
207
79
207
200
200
200
190
193
76
110
131
69
69
72
72
103
45
103
79
77
77
77
76
69
31
38
55
26
26
27
28
39
18
40
11,7
11,7
11,7
11,7
11,7
11,7
11,7
17,3
11,5
11,3
11,3
11,3
23,2
23,6
23,6
23,6
16,6
18,7
fl
0,288
0,288
0,288
0,288
0,288
0,288
0,288
0,305
0,278
0,270
0,270
0,270
0,330
0,330
0,330
0,330
0,355
0,340
Transcribed Image Text:Cr-Ni steel Compos, tion Composition A Acier AISI 1020 Acier AISI 1045 Acier AISI 1095 Acier G40.21 Acier 0,6% C Acier 3,5% Ni Acier Cr-Ni Tableau B.1: Propriétés physiques de quelques matériaux Ultimate limits Elastic limits Characteristic propreties Limites ultimes Limites élastiques Acier inoxydable 304 Fer forgé Fonte cl. 20 Fonte cl. 40 Fonte cl. 60 Al 3003-H14 Al 6061-T6 Al 6351-T6 Al 7075-T6 Cu Alliage Mg Laiton JUT συc MPa MPa 448 448 655 655 979 979 448 448 760 760 760 760* 895 895 579 579 324 324 138 276 414 310 290 538 393 290 421 552 862 1172 255 205 Tu MPa MPa 345 310 483 414 724 572 345 585 450 262 221 379 448 OLET OLEC 255 140 275 310 415 380 760 241 193 97 145 207 276 170 255 317 462 TLE MPa MPa 338 205 345 310 414 572 310 415 380 760 241 193 255 195 225 250 205 450 150 110 Propriétés caractéristiques G E GPa GPa x10-6/°C a 207 79 207 79 207 79 207 200 200 200 190 193 76 110 131 69 69 72 72 103 45 103 79 77 77 77 76 69 31 38 55 26 26 27 28 39 18 40 11,7 11,7 11,7 11,7 11,7 11,7 11,7 17,3 11,5 11,3 11,3 11,3 23,2 23,6 23,6 23,6 16,6 18,7 fl 0,288 0,288 0,288 0,288 0,288 0,288 0,288 0,305 0,278 0,270 0,270 0,270 0,330 0,330 0,330 0,330 0,355 0,340
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Can you give a more detailled explanation for part C and answer to the following question please:

What is the twist angle (in degrees) of pulley A with respect to pulley C?

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