Determine the critical load for a pinned-end column made of a circular bar of AISI1020 hot-rolled steel. The diameter of the bar is 20 mm, and its length is 800 mm. MaterialAISI no.1020102010201040104010401040104010401040108010801080114]114111411141114111414140414041404140414051605160516051605160ConditionAnnealedHot-rolledCold-drawnAnnealedHot-rolledCold drawnWOT 700WQT 900WQT 1100WQT 1300Annealed.OQT 700OQT 900OQT 1100OQT 1300AnnealedCold-drawnOQT 700OQT 900OQT 1100OQT 1300AnnealedOOT 700OQT 900OOT 1100OQT 1300AnnealedOQT 700OQT 900OQT 1100OQT 1300Ultimatestrength, s.57657575901271181078718917914511719314611694187118105196149115MP448517517621876738614130380777213311007800648159312891014814724181313511027793Yieldstrength, s,4348645160829390805414110370519517221217313110140179132100MPa2963313525656416215523729727104831186409414146211939032761234910710*Other properties approximately the same for all carbon and alloy steelsModulus 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.Percentelongation3636202516191714152812151823179121723

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Answered: column made of a circular bar

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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Question

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

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For the Problem-1, determine the critical load if column ends are fixed instead of
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For the Problem-1, determine the critical load if its length is 700 mm

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