A cylindrical column made of 304 stainless steel and 3m high must support a load of 1000kg. It is recessed in the ground and free in the upper end.a) Calculate the compressive stress, then the minimum diameter of the column to respect a safety factor of 3 on the elastic limit. Answer for a) = Compressive stress = 86.78 MPab. Given the nature of this installation, this column is at risk of buckling. Calculate again the minimum diameter necessary to respect a factor of safety of 3 on the critical constraint. AISISteel lozoCompositionAISE Steet1045Acier AISI 1020Acier AISI 1045Acier AISI 1095Acier G40.21Acier 0,6% CAcier 3,5 % NiAcier Cr-NiStainless Acier inoxydable 304steelFer forgéFonte cl. 20Fonte cl. 40Fonte cl. 60Al 3003-H14Al 6061-T6Al 6351-T6Al 7075-T6Cu+IronCompositionAlumininium6061Tableau B.1: Propriétés physiques de quelques matériauxUltimate limits Elastic limits Characteristic propretiesLimites ultimesLimites élastiquesAlliage MgLaitonOUTTuGucMPa MPa MPa448448655655979 979448448760760760760895895579579324324138552276862414117215231025529053839329042120534548372434558545065526222137944897207170317255140275OLET OLECMPaMPa310414572310415380760241193310414572310415380760241193145276255462338205345255195TLEMPa225250205450150110Propriétés caractéristiquesaGEGPa GPa x10-6/°C207792077920779207792007720077200771907619369763111038131 5526262728391840696972721034510311,711,711,711,711,711,711,717,311,511,311,311,323,223,623,623,616,618,7μl0,2880,2880,2880,2880,2880,2880,2880,3050,2780,2700,2700,2700.3300,3300,3300,3300,3550,340

Given Data: H=3 mm=1000 kgFOS=3σut,c=241 MPaE=190 GPa To Find: (a) The compressive stress. (b) The…

Answered: the ground and free in the upper end.…

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

A cylindrical column made of 304 stainless steel and 3m high must support a load of 1000kg. It is recessed in the ground and free in the upper end.

a) Calculate the compressive stress, then the minimum diameter of the column to respect a safety factor of 3 on the elastic limit.

Answer for a) =

Compressive stress = 86.78 MPa

b. Given the nature of this installation, this column is at risk of buckling. Calculate again the minimum diameter necessary to respect a factor of safety of 3 on the critical constraint.

AISI
Steel lozo
Composition
AISE Steet
1045
Acier AISI 1020
Acier AISI 1045
Acier AISI 1095
Acier G40.21
Acier 0,6% C
Acier 3,5 % Ni
Acier Cr-Ni
Stainless Acier inoxydable 304
steel
Fer forgé
Fonte cl. 20
Fonte cl. 40
Fonte cl. 60
Al 3003-H14
Al 6061-T6
Al 6351-T6
Al 7075-T6
Cu
+
Iron
Composition
Alumininium
6061
Tableau B.1: Propriétés physiques de quelques matériaux
Ultimate limits Elastic limits Characteristic propreties
Limites ultimes
Limites élastiques
Alliage Mg
Laiton
OUT
Tu
Guc
MPa MPa MPa
448
448
655
655
979 979
448
448
760
760
760
760
895
895
579
579
324
324
138
552
276
862
414
1172
152
310
255
290
538
393
290
421
205
345
483
724
345
585
450
655
262
221
379
448
97
207
170
317
255
140
275
OLET OLEC
MPa
MPa
310
414
572
310
415
380
760
241
193
310
414
572
310
415
380
760
241
193
145
276
255
462
338
205
345
255
195
TLE
MPa
225
250
205
450
150
110
Propriétés caractéristiques
a
G
E
GPa GPa x10-6/°C
207
79
207
79
207
79
207
79
200
77
200
77
200
77
190
76
193
69
76
31
110
38
131 55
26
26
27
28
39
18
40
69
69
72
72
103
45
103
11,7
11,7
11,7
11,7
11,7
11,7
11,7
17,3
11,5
11,3
11,3
11,3
23,2
23,6
23,6
23,6
16,6
18,7
μl
0,288
0,288
0,288
0,288
0,288
0,288
0,288
0,305
0,278
0,270
0,270
0,270
0.330
0,330
0,330
0,330
0,355
0,340

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