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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.

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.

Elements Of Electromagnetics
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
Transcribed Image Text: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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