In Figure 2 shown, shaft A, made of AISI 1010 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces F via shaft B. A theoretical stress concentration Kt of 1.6 is induced by the 3-mm fillet. The length of shaft A from the fixed support to the connection at shaft B is 1 m. The load F cycles from 0.5 to 3.a) For shaft A, find the factor of safety for infinite life using the modified Goodman fatigue failure criterion.b) Repeat part (a) using the Gerber fatigue failure criterion. 1UNS No.G10060G10100G10150G10180G10200G10300G10350G10400G10450G10500G10600G10800G1095023SAE and/or Process-AISI No.ing10061010101510181020103010351040104510503 mmfillet106010801095HRCDHRCDHRCDHRCDHRCDHRCDHRCDHRCDHRCDHRCDHRHRHR20 mmShaft AFigure 24TensileStrength,MPa (kpsi)300 (43)330 (48)320 (47)370 (53)340 (50)390 (56)400 (58)440 (64)380 (55)470 (68)25 mm470 (68)520 (76)500 (72)550 (80)520 (76)590 (85)570 (82)630 (91)620 (90)690 (100)680 (98)770 (112)830 (120)5YieldStrength,MPa (kpsi)170 (24)280 (41)180 (26)300 (44)190 (27.5)320 (47)220 (32)370 (54)210 (30)390 (57)260 (37.5)440 (64)270 (39.5)460 (67)290 (42)490 (71)310 (45)530 (77)340 (49.5)580 (84)370 (54)420 (61.5)460 (66)25 mmShaft B6Elongation in2 in, %30202820281825152515201218121812161215101210107Reduction inArea, %55455040504050405040423540354035403535303025258BrinellHardness869595105101111116126111131137149143163149170163179179197201229248

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Answered: shaft A, made of AISI 1010 hot-rolled…

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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In Figure 2 shown, shaft A, made of AISI 1010 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces F via shaft B. A theoretical stress concentration Kt of 1.6 is induced by the 3-mm fillet. The length of shaft A from the fixed support to the connection at shaft B is 1 m. The load F cycles from 0.5 to 3. a) For shaft A, find the factor of safety for infinite life using the modified Goodman fatigue failure criterion. b) Repeat part (a) using the Gerber fatigue failure criterion.

1
UNS No.
G10060
G10100
G10150
G10180
G10200
G10300
G10350
G10400
G10450
G10500
G10600
G10800
G10950
2
3
SAE and/or Process-
AISI No.
ing
1006
1010
1015
1018
1020
1030
1035
1040
1045
1050
3 mm
fillet
1060
1080
1095
HR
CD
HR
CD
HR
CD
HR
CD
HR
CD
HR
CD
HR
CD
HR
CD
HR
CD
HR
CD
HR
HR
HR
20 mm
Shaft A
Figure 2
4
Tensile
Strength,
MPa (kpsi)
300 (43)
330 (48)
320 (47)
370 (53)
340 (50)
390 (56)
400 (58)
440 (64)
380 (55)
470 (68)
25 mm
470 (68)
520 (76)
500 (72)
550 (80)
520 (76)
590 (85)
570 (82)
630 (91)
620 (90)
690 (100)
680 (98)
770 (112)
830 (120)
5
Yield
Strength,
MPa (kpsi)
170 (24)
280 (41)
180 (26)
300 (44)
190 (27.5)
320 (47)
220 (32)
370 (54)
210 (30)
390 (57)
260 (37.5)
440 (64)
270 (39.5)
460 (67)
290 (42)
490 (71)
310 (45)
530 (77)
340 (49.5)
580 (84)
370 (54)
420 (61.5)
460 (66)
25 mm
Shaft B
6
Elongation in
2 in, %
30
20
28
20
28
18
25
15
25
15
20
12
18
12
18
12
16
12
15
10
12
10
10
7
Reduction in
Area, %
55
45
50
40
50
40
50
40
50
40
42
35
40
35
40
35
40
35
35
30
30
25
25
8
Brinell
Hardness
86
95
95
105
101
111
116
126
111
131
137
149
143
163
149
170
163
179
179
197
201
229
248

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