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A 5 ft long solid SAE4340 OQT1000 steel shaft is required to transmit a power of  180 HP. The shaft speed is 3,000 rpm. The allowable shear stress is 50 ksi and the allowable angle of twist per foot of length is 0.04 radians. Determine the minimum diameter that meets the design requirements. Note- Shear modulus for steel is given in images

A 5 ft long solid SAE4340 OQT1000 steel shaft is required to transmit a power of  180 HP. The shaft speed is 3,000 rpm. The allowable shear stress is 50 ksi and the allowable angle of twist per foot of length is 0.04 radians. Determine the minimum diameter that meets the design requirements. Note- Shear modulus for steel is given in images

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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A 5 ft long solid SAE4340 OQT1000 steel shaft is required to transmit a power of  180 HP. The shaft speed is 3,000 rpm. The allowable shear stress is 50 ksi and the allowable angle of twist per foot of length is 0.04 radians. Determine the minimum diameter that meets the design requirements.

Note- Shear modulus for steel is given in images

APPENDIX 3 Design Properties of Carbon and Alloy Steels Tansile Yield Duclilily (percent elongation in 2 in) strength strength Material designation (SAE number) Brinell hardness Condition (ksi) (MPa) (ksi) (MPа) (HB) 1020 Hat-rolled 55 379 30 207 25 111 1020 Cold-drawn 61 420 51 352 15 122 1020 Annealed 60 414 43 296 38 121 1040 Hat-rolled 72 496 42 290 18 144 1040 Cold-drawn 80 552 71 490 12 160 OQT 1300 OQT 400 421 600 1040 BB 607 61 33 183 1040 113 779 87 19 262 1050 Hat-ralled 90 620 49 338 15 180 1050 Cald-drawn 100 690 84 579 10 200 OQT 1300 1050 96 662 61 421 30 192 1060 OQT 400 143 986 110 758 10 321 1117 Hat-rolled 65 448 40 276 33 124 1117 Cald-drawn 80 552 65 448 20 138 1117 WQT 350 89 614 50 345 22 178 1137 Hat-rolled 88 607 48 331 15 176 1137 Cold-drawn OQT 1300 OQT 400 98 676 82 565 10 196 1137 87 600 60 414 28 174 1137 157 1083 136 938 352 1144! Hat-rolled 94 648 51 352 15 188 1144 Cold-drawn 100 690 90 621 10 200 OQT 1300 OQT 400 1144 96 662 68 469 25 200 1144 127 876 91 627 16 277 1213 Hat-rolled 55 379 33 228 25 110 1213 Cald-drawn 75 517 58 340 10 150 12L13 Hat-rolled 57 393 34 234 22 114 12L13 Cold-drawn 70 483 60 414 10 140 1340! Annealed 102 703 63 434 26 207 OQT 1300 OQT 1000 OgT 700 1340 100 690 75 517 25 235 1340 144 993 132 910 17 363 1340 221 1520 197 1360 10 444 1340 OQT 400 285 1960 234 1610 578 3140 Annealed 95 655 67 462 25 187 OQT 1300 OQT 1000 OQT 700 OQT 400 3140 115 152 792 94 648 23 233 3140 1050 133 920 17 311 3140 220 1520 200 1380 13 461 3140 280 1930 248 1710 11 555 4130 Annealed B1 558 52 359 28 156 4130 WQT 1300 98 676 89 614 28 202 4130 WQT 1000 143 986 132 910 16 302 4130 WQT 700 208 1430 180 1240 13 415 4130 WQT 400 234 1610 197 1360 12 461
Transcribed Image Text:APPENDIX 3 Design Properties of Carbon and Alloy Steels Tansile Yield Duclilily (percent elongation in 2 in) strength strength Material designation (SAE number) Brinell hardness Condition (ksi) (MPa) (ksi) (MPа) (HB) 1020 Hat-rolled 55 379 30 207 25 111 1020 Cold-drawn 61 420 51 352 15 122 1020 Annealed 60 414 43 296 38 121 1040 Hat-rolled 72 496 42 290 18 144 1040 Cold-drawn 80 552 71 490 12 160 OQT 1300 OQT 400 421 600 1040 BB 607 61 33 183 1040 113 779 87 19 262 1050 Hat-ralled 90 620 49 338 15 180 1050 Cald-drawn 100 690 84 579 10 200 OQT 1300 1050 96 662 61 421 30 192 1060 OQT 400 143 986 110 758 10 321 1117 Hat-rolled 65 448 40 276 33 124 1117 Cald-drawn 80 552 65 448 20 138 1117 WQT 350 89 614 50 345 22 178 1137 Hat-rolled 88 607 48 331 15 176 1137 Cold-drawn OQT 1300 OQT 400 98 676 82 565 10 196 1137 87 600 60 414 28 174 1137 157 1083 136 938 352 1144! Hat-rolled 94 648 51 352 15 188 1144 Cold-drawn 100 690 90 621 10 200 OQT 1300 OQT 400 1144 96 662 68 469 25 200 1144 127 876 91 627 16 277 1213 Hat-rolled 55 379 33 228 25 110 1213 Cald-drawn 75 517 58 340 10 150 12L13 Hat-rolled 57 393 34 234 22 114 12L13 Cold-drawn 70 483 60 414 10 140 1340! Annealed 102 703 63 434 26 207 OQT 1300 OQT 1000 OgT 700 1340 100 690 75 517 25 235 1340 144 993 132 910 17 363 1340 221 1520 197 1360 10 444 1340 OQT 400 285 1960 234 1610 578 3140 Annealed 95 655 67 462 25 187 OQT 1300 OQT 1000 OQT 700 OQT 400 3140 115 152 792 94 648 23 233 3140 1050 133 920 17 311 3140 220 1520 200 1380 13 461 3140 280 1930 248 1710 11 555 4130 Annealed B1 558 52 359 28 156 4130 WQT 1300 98 676 89 614 28 202 4130 WQT 1000 143 986 132 910 16 302 4130 WQT 700 208 1430 180 1240 13 415 4130 WQT 400 234 1610 197 1360 12 461
4130 Annealed 81 558 52 359 28 156 4130 WQT 1300 98 676 89 614 28 202 4130 WQT 1000 143 986 132 910 16 302 4130 WQT 700 208 1430 180 1240 13 415 4130 WQT 400 234 1610 197 1360 12 461 4140 Annealed 95 655 54 372 26 197 OQT 1300 OQT 1000 OQT 700 OQT 400 4140 117 807 100 690 23 235 4140 168 1160 152 1050 17 341 4140 231 1590 212 1460 13 461 4140 290 2000 251 1730 11 578 4150 Annealed 106 731 55 379 20 197 4150 OQT 1300 127 880 116 B00 20 262 4150 OQT 1000 197 1360 181 1250 11 401 4150 OQT 700 247 1700 229 1580 10 495 4150 OQT 400 300 2070 248 1710 10 578
Transcribed Image Text:4130 Annealed 81 558 52 359 28 156 4130 WQT 1300 98 676 89 614 28 202 4130 WQT 1000 143 986 132 910 16 302 4130 WQT 700 208 1430 180 1240 13 415 4130 WQT 400 234 1610 197 1360 12 461 4140 Annealed 95 655 54 372 26 197 OQT 1300 OQT 1000 OQT 700 OQT 400 4140 117 807 100 690 23 235 4140 168 1160 152 1050 17 341 4140 231 1590 212 1460 13 461 4140 290 2000 251 1730 11 578 4150 Annealed 106 731 55 379 20 197 4150 OQT 1300 127 880 116 B00 20 262 4150 OQT 1000 197 1360 181 1250 11 401 4150 OQT 700 247 1700 229 1580 10 495 4150 OQT 400 300 2070 248 1710 10 578
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