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column made of a circular bar

column made of a circular bar

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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Determine the critical load for a pinned-end column made of a circular bar of AISI
1020 hot-rolled steel. The diameter of the bar is 20 mm, and its length is 800 mm.

 

Material AISI no. 1020 1020 1020 1040 1040 1040 1040 1040 1040 1040 1080 1080 1080 114] 1141 1141 1141 1141 1141 4140 4140 4140 4140 4140 5160 5160 5160 5160 5160 Condition Annealed Hot-rolled Cold-drawn Annealed Hot-rolled Cold drawn WOT 700 WQT 900 WQT 1100 WQT 1300 Annealed. OQT 700 OQT 900 OQT 1100 OQT 1300 Annealed Cold-drawn OQT 700 OQT 900 OQT 1100 OQT 1300 Annealed OOT 700 OQT 900 OOT 1100 OQT 1300 Annealed OQT 700 OQT 900 OQT 1100 OQT 1300 Ultimate strength, s. 57 65 75 75 90 127 118 107 87 189 179 145 117 193 146 116 94 187 118 105 196 149 115 MP 448 517 517 621 876 738 614 1303 807 772 1331 1007 800 648 1593 1289 1014 814 724 1813 1351 1027 793 Yield strength, s, 43 48 64 51 60 82 93 90 80 54 141 103 70 51 95 172 212 173 131 101 40 179 132 100 MPa 296 331 352 565 641 621 552 372 972 710 483 1186 409 414 1462 1193 903 276 1234 910 710 *Other properties approximately the same for all carbon and alloy steels Modulus of elasticity in tension - 30000000 psi (207 GPa) Modulus of elasticity in shear = 11 500 000 psi (80 GPa) Density 0.283 lb./in² (7680 kg/m²) "OOT means oil-quenched and tempered. WQT means water-quenched and tempered. Percent elongation 36 36 20 25 16 19 17 14 15 28 12 15 18 23 17 9 12 17 23
Transcribed Image Text:Material AISI no. 1020 1020 1020 1040 1040 1040 1040 1040 1040 1040 1080 1080 1080 114] 1141 1141 1141 1141 1141 4140 4140 4140 4140 4140 5160 5160 5160 5160 5160 Condition Annealed Hot-rolled Cold-drawn Annealed Hot-rolled Cold drawn WOT 700 WQT 900 WQT 1100 WQT 1300 Annealed. OQT 700 OQT 900 OQT 1100 OQT 1300 Annealed Cold-drawn OQT 700 OQT 900 OQT 1100 OQT 1300 Annealed OOT 700 OQT 900 OOT 1100 OQT 1300 Annealed OQT 700 OQT 900 OQT 1100 OQT 1300 Ultimate strength, s. 57 65 75 75 90 127 118 107 87 189 179 145 117 193 146 116 94 187 118 105 196 149 115 MP 448 517 517 621 876 738 614 1303 807 772 1331 1007 800 648 1593 1289 1014 814 724 1813 1351 1027 793 Yield strength, s, 43 48 64 51 60 82 93 90 80 54 141 103 70 51 95 172 212 173 131 101 40 179 132 100 MPa 296 331 352 565 641 621 552 372 972 710 483 1186 409 414 1462 1193 903 276 1234 910 710 *Other properties approximately the same for all carbon and alloy steels Modulus of elasticity in tension - 30000000 psi (207 GPa) Modulus of elasticity in shear = 11 500 000 psi (80 GPa) Density 0.283 lb./in² (7680 kg/m²) "OOT means oil-quenched and tempered. WQT means water-quenched and tempered. Percent elongation 36 36 20 25 16 19 17 14 15 28 12 15 18 23 17 9 12 17 23
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For the Problem-1, determine the critical load if column ends are fixed instead of
pinned

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Follow-up Question

For the Problem-1, determine the critical load if its length is 700 mm

 

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