AV3 - Ensaio de Tracao 2020-1-4

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Atividade AV3 para disciplina Materiais de Engenharia
Professora Euliane Jesus
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A tabela 01, logo abaixo, descreve o comportamento de um corpo de prova em alumínio submetido ao ensaio de tração em temperatura ambiente.
O comprimento inicial do corpo de prova é de 30 mm e na tabela consta a força aplicada em tração em kN, o aumento do comprimento em mm, a deformação em percentagem e a tensão em N/mm2. 
Tabela 01: Dados produzidos ao longo do ensaio de tração para um corpo de prova de Cobre.
	Pontos
	Alongamento (mm)
	Força (KN)
	Deformação
	Tração (MPa)
	Pontos
	Alongamento (mm)
	Força (KN)
	Deformação
	Tração (MPa)
	1
	0,025
	-0,006
	0,00082
	-0,206
	48
	1,373
	8,711
	0,04575
	298,057
	2
	0,037
	0,036
	0,00123
	1,235
	49
	1,434
	8,717
	0,04779
	298,263
	3
	0,037
	0,09
	0,00123
	3,088
	50
	1,507
	8,65
	0,05025
	295,999
	4
	0,049
	0,138
	0,00163
	4,734
	51
	1,618
	8,753
	0,05392
	299,498
	5
	0,049
	0,265
	0,00163
	9,057
	52
	1,691
	8,62
	0,05637
	294,97
	6
	0,049
	0,307
	0,00163
	10,498
	53
	1,752
	8,771
	0,05842
	300,116
	7
	0,086
	0,475
	0,00286
	16,261
	54
	1,826
	8,644
	0,06087
	295,793
	8
	0,086
	0,602
	0,00286
	20,584
	55
	1,9
	8,584
	0,06332
	293,735
	9
	0,086
	0,782
	0,00286
	26,759
	56
	1,973
	8,614
	0,06577
	294,764
	10
	0,11
	0,963
	0,00368
	32,935
	57
	2,12
	8,65
	0,07067
	295,999
	11
	0,11
	1,161
	0,00368
	39,727
	58
	2,218
	8,518
	0,07394
	291,47
	12
	0,135
	1,456
	0,00449
	49,813
	59
	2,279
	8,512
	0,07598
	291,265
	13
	0,135
	1,576
	0,00449
	53,93
	60
	2,39
	8,374
	0,07966
	286,53
	14
	0,147
	1,696
	0,0049
	58,047
	61
	2,463
	8,488
	0,08211
	290,441
	15
	0,159
	2,057
	0,00531
	70,398
	62
	2,537
	8,308
	0,08456
	284,266
	16
	0,172
	1,943
	0,00572
	66,487
	63
	2,561
	8,265
	0,08538
	282,825
	17
	0,196
	2,238
	0,00654
	76,573
	64
	2,61
	8,277
	0,08701
	283,237
	18
	0,196
	2,334
	0,00654
	79,866
	65
	2,696
	8,271
	0,08987
	283,031
	19
	0,196
	2,563
	0,00654
	87,688
	66
	2,77
	8,259
	0,09232
	282,619
	20
	0,233
	2,755
	0,00776
	94,275
	67
	2,831
	8,157
	0,09436
	279,12
	21
	0,233
	3,05
	0,00776
	104,361
	68
	2,917
	8,043
	0,09722
	275,209
	22
	0,233
	3,357
	0,00776
	114,859
	69
	3,015
	7,965
	0,10049
	272,533
	23
	0,257
	3,603
	0,00858
	123,299
	70
	3,113
	7,971
	0,10376
	272,739
	24
	0,294
	3,922
	0,0098
	134,208
	71
	3,199
	7,886
	0,10662
	269,857
	25
	0,294
	4,428
	0,0098
	151,499
	72
	3,297
	7,868
	0,10989
	269,24
	26
	0,306
	4,073
	0,01021
	139,354
	73
	3,382
	7,64
	0,11275
	261,418
	27
	0,319
	4,728
	0,01062
	161,791
	74
	3,444
	7,514
	0,11479
	257,095
	28
	0,343
	5,071
	0,01144
	173,524
	75
	3,505
	7,459
	0,11683
	255,242
	29
	0,343
	5,264
	0,01144
	180,111
	76
	3,591
	7,327
	0,11969
	250,714
	30
	0,368
	5,745
	0,01225
	196,578
	77
	3,652
	7,231
	0,12173
	247,42
	31
	0,404
	6,184
	0,01348
	211,604
	78
	3,725
	7,159
	0,12418
	244,95
	32
	0,429
	6,882
	0,0143
	235,482
	79
	3,762
	7,074
	0,12541
	242,069
	33
	0,453
	7,249
	0,01511
	248,038
	80
	3,824
	7,008
	0,12745
	239,804
	34
	0,478
	7,694
	0,01593
	263,27
	81
	3,873
	6,972
	0,12908
	238,569
	35
	0,502
	7,971
	0,01675
	272,739
	82
	3,971
	6,762
	0,13235
	231,365
	36
	0,527
	8,253
	0,01757
	282,413
	83
	4,044
	6,75
	0,1348
	230,953
	37
	0,576
	8,681
	0,0192
	297,028
	84
	4,142
	6,425
	0,13807
	219,838
	38
	0,699
	8,825
	0,02328
	301,968
	85
	4,203
	6,25
	0,14011
	213,868
	39
	0,723
	8,807
	0,0241
	301,351
	86
	4,289
	6,088
	0,14297
	208,311
	40
	0,772
	8,813
	0,02574
	301,557
	87
	4,375
	5,913
	0,14583
	202,341
	41
	0,833
	8,879
	0,02778
	303,821
	88
	4,498
	5,751
	0,14992
	196,784
	42
	0,919
	8,849
	0,03064
	302,792
	89
	4,583
	5,438
	0,15278
	186,08
	43
	0,98
	8,801
	0,03268
	301,145
	90
	4,681
	5,27
	0,15605
	180,316
	44
	1,029
	8,837
	0,03431
	302,38
	91
	4,853
	4,825
	0,16176
	165,084
	45
	1,091
	8,699
	0,03636
	297,646
	92
	4,951
	4,458
	0,16503
	152,528
	46
	1,189
	8,729
	0,03962
	298,675
	93
	5,037
	4,151
	0,16789
	142,03
	47
	1,287
	8,825
	0,04289
	301,968
	
	
	
	
O gráfico abaixo, descreve o comportamento do cobre submetido ao ensaio de tração (tensão x deformação). Na abscissa observa-se a deformação (z) e na ordenada a tração na seção transversal ().
Gráfico 01: Tensão deformação para o cobre em temperatura ambiente.
Gráfico 02: Tensão deformação para o alumínio em temperatura ambiente.
Gráfico 03: Tensão deformação para o SAE 1020 em temperatura ambiente.
Gráfico 04: Tensão deformação para o SAE 1020, o cobre e o alumínio em temperatura ambiente.
A partir dos conhecimentos adquiridos ao longo das aulas do semestre e avaliando os dados fornecidos pela tabela 01 e os gráficos que descreve o comportamento mecânico do cobre, alumínio e SAE 1020, responda:
1) De acordo com a tabela 01:
a) Qual o limite de resistência a tração do cobre? Qual dos metais apresenta maior LRT? Porquê? (0,5 ponto)
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b) Qual a variação de comprimento do corpo de prova de cobre? (0,25 ponto)
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c) Qual a carga máxima aplicada no corpo de prova de cobre? (0,25 ponto)
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2) Qual o comportamento apresentado pelo alumínio no gráfico de tensão x deformação? Qual a diferença observada entre o alumínio e o SAE 1020 e o cobre? (0,5 ponto).
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3) Qual dos metais possui maior resiliência? Explique porquê, (0,5 ponto).
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4) Demonstre com ajuda do gráfico 04, qual dos materiais tem maior modulo de elasticidade, (1,0 ponto).
5) Determine a deformação resultante (z) na coordenada z para o cobre, (1,0 ponto).
6) Determine a área original da seção transversal e o raio do corpo de prova de cobre que foi empregado para o ensaio de tração dos dados fornecidos na tabela 01, (1,0 ponto).
	
Quadro de formulas
	
	Onde:
F corresponde a força;
AO é a área da seção transversal;
	
ou 
	Onde:
Li é o comprimento instantâneo;
Lo é o comprimento original;
Z é a deformação em Z.
	
ou 
	Onde:
di e do é o comprimento instantâneo e original;
x é a deformação em x.
	
	Onde:
E é o modulo de elasticidade;
Z é a deformação em Z.
	
	Onde:
Lf é o comprimento final;
Lo é o comprimento inicial;
AL% é o alongamento percentual.
Deformação x Tensão (Cu)
8.1999999999999998E-4	1.23E-3	1.23E-3	1.6300000000000002E-3	1.6300000000000002E-3	1.6300000000000002E-3	2.8599999999999997E-3	2.8599999999999997E-3	2.8599999999999997E-3	3.6800000000000001E-3	3.6800000000000001E-3	4.4900000000000001E-3	4.4900000000000001E-3	4.8999999999999998E-3	5.3100000000000005E-3	5.7199999999999994E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.5400000000000007E-3	7.7600000000000004E-3	7.7600000000000004E-3	7.7600000000000004E-3	8.5799999999999991E-3	9.7999999999999997E-3	9.7999999999999997E-3	1.0209999999999999E-21.0620000000000001E-2	1.1439999999999999E-2	1.1439999999999999E-2	1.225E-2	1.3480000000000001E-2	1.43E-2	1.5109999999999998E-2	1.593E-2	1.6750000000000001E-2	1.7569999999999999E-2	1.9199999999999998E-2	2.3279999999999999E-2	2.41E-2	2.5739999999999999E-2	2.7779999999999999E-2	3.0640000000000001E-2	3.2680000000000001E-2	3.431E-2	3.6360000000000003E-2	3.9620000000000002E-2	4.2	889999999999998E-2	4.5749999999999999E-2	4.7789999999999999E-2	5.0250000000000003E-2	5.3920000000000003E-2	5.6369999999999996E-2	5.842E-2	6.087E-2	6.3320000000000001E-2	6.5769999999999995E-2	7.0669999999999997E-2	7.3940000000000006E-2	7.5979999999999992E-2	7.9660000000000009E-2	8.2110000000000002E-2	8.4559999999999996E-2	8.5379999999999998E-2	8.7010000000000004E-2	8.9870000000000005E-2	9.2319999999999999E-2	9.4359999999999999E-2	9.7220000000000001E-2	0.10049	0.10375999999999999	0.10662000000000001	0.10989	0.11275	0.11478999999999999	0.11683	0.11968999999999999	0.12173	0.12418	0.12540999999999999	0.12744999999999998	0.12908	0.13235	0.1348	0.13807	0.14010999999999998	0.14297000000000001	0.14583000000000002	0.14992	0.15278	0.15604999999999999	0.16175999999999999	0.16503000000000001	0.16789000000000001	-0.20599999999999999	1.2350000000000001	3.0880000000000001	4.734	9.0570000000000004	10.497999999999999	16.260999999999999	20.584	26.759	32.935000000000002	39.726999999999997	49.813000000000002	53.93	58.046999999999997	70.397999999999996	66.486999999999995	76.572999999999993	79.866	87.688000000000002	94.275000000000006	104.361	114.85899999999999	123.29900000000001	134.208	151.499	139.35400000000001	161.791	173.524	180.11099999999999	196.578	211.60400000000001	235.482	248.03800000000001	263.27	272.73899999999998	282.41300000000001	297.02800000000002	301.96800000000002	301.351	301.55700000000002	303.82100000000003	302.79199999999997	301.14499999999998	302.38	297.64600000000002	298.67500000000001	301.96800000000002	298.05700000000002	298.26299999999998	295.99900000000002	299.49799999999999	294.97000000000003	300.11599999999999	295.79300000000001	293.73500000000001	294.76400000000001	295.99900000000002	291.47000000000003	291.26499999999999	286.52999999999997	290.44099999999997	284.26600000000002	282.82499999999999	283.23700000000002	283.03100000000001	282.61900000000003	279.12	275.209	272.53300000000002	272.73899999999998	269.85700000000003	269.24	261.41800000000001	257.09500000000003	255.24199999999999	250.714	247.42	244.95	242.06899999999999	239.804	238.56899999999999	231.36500000000001	230.953	219.83799999999999	213.86799999999999	208.31100000000001	202.34100000000001	196.78399999999999	186.08	180.316	165.084	152.52799999999999	142.03	Deformação
Tensão (MPa)
Tensão x Deformação (Al)
0	4.0999999999999999E-4	8.1	999999999999998E-4	8.1999999999999998E-4	1.6300000000000002E-3	2.0399999999999997E-3	3.2700000000000003E-3	3.2700000000000003E-3	4.8999999999999998E-3	4.8999999999999998E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.3100000000000005E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.9399999999999991E-3	7.3499999999999998E-3	7.3499999999999998E-3	7.7600000000000004E-3	7.7600000000000004E-3	8.1700000000000002E-3	8.5799999999999991E-3	8.9899999999999997E-3	9.3999999999999986E-3	9.3999999999999986E-3	1.0209999999999999E-2	1.0209999999999999E-2	1.0209999999999999E-2	1.103E-2	1.1439999999999999E-2	1.225E-2	1.2659999999999999E-2	1.2659999999999999E-2	1.307E-2	1.3480000000000001E-2	1.43E-2	1.43E-2	1.5109999999999998E-2	1.593E-2	1.6750000000000001E-2	1.797E-2	1.8380000000000001E-2	2.0019999999999996E-2	2.0419999999999997E-2	2.1240000000000002E-2	2.1240000000000002E-2	2.206E-2	2.247E-2	2.3279999999999999E-2	2.3690000000000003E-2	2.41E-2	2.4920000000000001E-2	2.5739999999999999E-2	2.7370000000000002E-2	2.7370000000000002E-2	2.7779999999999999E-2	2.8999999999999998E-2	3.0640000000000001E-2	3.1449999999999999E-2	3.1449999999999999E-2	3.2680000000000001E-2	3.3910000000000003E-2	3.4720000000000001E-2	3.5130000000000002E-2	3.5950000000000003E-2	3.6760000000000001E-2	3.7580000000000002E-2	3.8399999999999997E-2	3.8809999999999997E-2	3.9620000000000002E-2	4.0849999999999997E-2	4.1	260000000000005E-2	4.1669999999999999E-2	4.2480000000000004E-2	4.3710000000000006E-2	4.5339999999999998E-2	4.5749999999999999E-2	4.6980000000000001E-2	4.82E-2	4.861E-2	4.9840000000000002E-2	5.1060000000000001E-2	5.1060000000000001E-2	5.1470000000000002E-2	5.2699999999999997E-2	5.3510000000000002E-2	5.4329999999999996E-2	5.5149999999999998E-2	5.5960000000000003E-2	5.6779999999999997E-2	5.7599999999999998E-2	5.8819999999999997E-2	5.9229999999999998E-2	6.087E-2	6.1679999999999999E-2	6.3320000000000001E-2	6.454E-2	6.6180000000000003E-2	6.7400000000000002E-2	6.9440000000000002E-2	7.0260000000000003E-2	7.1489999999999998E-2	7.2709999999999997E-2	7.3529999999999998E-2	7.4349999999999999E-2	7.5160000000000005E-2	7.639E-2	7.7609999999999998E-2	7.8840000000000007E-2	8.0070000000000002E-2	8.1290000000000001E-2	8.2110000000000002E-2	8.3740000000000009E-2	8.4970000000000004E-2	8.6599999999999996E-2	8.864000000000001E-2	9.0690000000000007E-2	9.0690000000000007E-2	9.3140000000000001E-2	9.4770000000000007E-2	9.6000000000000002E-2	9.7629999999999995E-2	9.8040000000000002E-2	9.9670000000000009E-2	0.1009	0.10294	0.10335000000000001	0.10375999999999999	0.10539	0.10621	0.10743	0.1082	5	0.10825	0.10989	0.11070000000000001	0.11151999999999999	0.11234	0.11355999999999999	0.11438000000000001	0.1152	0.11683	0.11846	0.11968999999999999	0.12051000000000001	0.12255000000000001	0.12255000000000001	0.12377000000000001	0.125	0.12662999999999999	0.12704000000000001	0.12868000000000002	0.12908	0.13031000000000001	0.13153999999999999	0.13317000000000001	0.13399	0.13561999999999999	0.13766	0.13930000000000001	0.13971	0.14257	0.14297000000000001	0.14583000000000002	0.14951	0.15195999999999998	0.15319000000000002	0.15686	-0.61799999999999999	-0.20599999999999999	1.2350000000000001	8.02800000000	00005	16.466999999999999	26.347999999999999	37.875	46.932000000000002	55.371000000000002	61.545999999999999	71.632999999999996	83.364999999999995	91.186999999999998	97.98	107.03700000000001	111.36	103.33199999999999	116.91800000000001	121.446	135.649	127.827	140.589	149.23400000000001	145.32400000000001	153.96	899999999999	157.46799999999999	161.173	164.673	171.67099999999999	168.172	174.75899999999999	177.023	179.28700000000001	181.14	183.404	185.05099999999999	187.10900000000001	188.34399999999999	190.81399999999999	192.46100000000001	192.667	195.54900000000001	196.37200000000001	196.37200000000001	197.81299999999999	198.22499999999999	198.636	199.66499999999999	200.077	200.28299999999999	201.518	202.136	202.34100000000001	202.959	201.31200000000001	204.19399999999999	204.4	204.81100000000001	204.19399999999999	206.25200000000001	205.429	206.25200000000001	205.017	205.22300000000001	207.07599999999999	206.87	207.28200000000001	207.28200000000001	207.48699999999999	207.48699999999999	207.48699999999999	207.69300000000001	207.69300000000001	207.48699999999999	207.899	207.28200000000001	207.69300000000001	205.84100000000001	207.48699999999999	208.31100000000001	208.31100000000001	208.10499999999999	207.07599999999999	207.28200000000001	208.517	206.87	208.517	206.66399999999999	205.63499999999999	206.87	207.07599999999999	206.66399999999999	205.84100000000001	206.66399999999999	204.60599999999999	204.81100000000001	204.81100000000001	203.37100000000001	201.93	202.959	201.93	202.136	201.10599999999999	200.90100000000001	199.048	200.077	199.25399999999999	198.43	197.81299999999999	197.19499999999999	196.578	195.96	194.93100000000001	193.07900000000001	192.667	191.84399999999999	189.99100000000001	188.55	188.13800000000001	187.10900000000001	185.25700000000001	185.25700000000001	183.61	182.375	181.55099999999999	180.72800000000001	179.69900000000001	178.464	178.05199999999999	176.61099999999999	175.78800000000001	174.965	173.935	172.90600000000001	172.7	171.465	170.642	169.40700000000001	168.37799999999999	167.34800000000001	165.49600000000001	163.643	162.614	162.614	160.96700000000001	159.93799999999999	158.49700000000001157.05600000000001	155.61600000000001	153.96899999999999	151.91	149.64599999999999	149.23400000000001	147.58799999999999	146.14699999999999	144.70599999999999	142.44200000000001	140.178	138.94200000000001	136.47200000000001	132.56100000000001	131.94399999999999	127.41	500000000001	92.628	74.72	54.753999999999998	19.966999999999999	Deformação
Tensão (MPa)
Tensão x Deformação (SAE 1020)
0	4.0999999999999999E-4	4.0999999999999999E-4	4.0999999999999999E-4	1.6300000000000002E-3	1.6300000000000002E-3	1.6300000000000002E-3	2.0399999999999997E-3	2.4499999999999999E-3	2.4499999999999999E-3	2.4499999999999999E-3	2.4499999999999999E-3	2.4499999999999999E-3	2.8599999999999997E-3	2.8599999999999997E-3	2.8599999999999997E-3	3.2700000000000003E-3	3.2700000000000003E-3	3.6800000000000001E-3	3.6800000000000001E-3	3.6800000000000001E-3	3.6800000000000001E-3	4.0799999999999994E-3	4.0799999999999994E-3	4.0799999999999994E-3	4.4900000000000001E-3	4.4900000000000001E-3	4.4900000000000001E-3	4.4900000000000001E-3	4.8999999999999998E-3	4.8999999999999998E-3	4.8999999999999998E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.7199999999999994E-3	5.7199999999999994E-3	6.13E-3	6.13E-3	6.13E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.9399999999999991E-3	6.9399999999999991E-3	6.9399999999999991E-3	6.9399999999999991E-3	6.9399999999999991E-3	6.9399999999999991E-3	6.9399999999999991E-3	7.3499999999999998E-3	7.3499999999999998E-3	7.3499999999999998E-3	7.7600000000000004E-3	7.7600000000000004E-3	8.1700000000000002E-3	8.1700000000000002E-3	8.1700000000000002E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.9899999999999997E-3	8.9899999999999997E-3	8.9899999999999997E-3	9.3999999999999986E-3	9.3999999999999986E-3	9.3999999999999986E-3	9.7999999999999997E-3	9.7999999999999997E-3	9.7999999999999997E-3	9.7999999999999997E-3	1.02099999	99999999E-2	1.0209999999999999E-2	1.0209999999999999E-2	1.0620000000000001E-2	1.0620000000000001E-2	1.0620000000000001E-2	1.103E-2	1.103E-2	1.103E-2	1.1439999999999999E-2	1.1439999999999999E-2	1.1850000000000001E-2	1.1850000000000001E-2	1.225E-2	1.225E-2	1.225E-2	1.2659999999999999E-2	1.2659999999999999E-2	1.2659999999999999E-2	1.2659999999999999E-2	1.3480000000000001E-2	1.3480000000000001E-2	1.389E-2	1.43E-2	1.4710000000000001E-2	1.4710000000000001E-2	1.4710000000000001E-2	1.5109999999999998E-2	1.593E-2	1.593E-2	1.593E-2	1.7159999999999998E-2	1.7569999999999999E-2	1.797E-2	1.8380000000000001E-2	1.9610000000000002E-2	2.0830000000000001E-2	2.206E-2	2.2879999999999998E-2	2.3690000000000003E-2	2.4510000000000001E-2	2.5739999999999999E-2	2.5739999999999999E-2	2.6960000000000001E-2	2.819E-2	2.9409999999999999E-2	3.1859999999999999E-2	3.3500000000000002E-2	3.5130000000000002E-2	3.6360000000000003E-2	3.6760000000000001E-2	3.9620000000000002E-2	3.9620000000000002E-2	3.9620000000000002E-2	4.0030000000000003E-2	4.1669999999999999E-2	4.2	889999999999998E-2	4.3710000000000006E-2	4.4930000000000005E-2	4.616E-2	4.7390000000000002E-2	4.82E-2	4.9020000000000001E-2	5.0650000000000001E-2	5.1060000000000001E-2	5.1470000000000002E-2	5.2699999999999997E-2	5.4329999999999996E-2	5.6369999999999996E-2	5.7599999999999998E-2	5.9229999999999998E-2	5.9640000000000006E-2	6.0049999999999999E-2	6.3320000000000001E-2	6.4950000000000008E-2	6.863000000000001E-2	7.0669999999999997E-2	7.107999999999999E-2	7.4349999999999999E-2	7.8840000000000007E-2	8.0879999999999994E-2	8.2110000000000002E-2	8.4149999999999989E-2	8.4559999999999996E-2	8.6599999999999996E-2	8.904999999999999E-2	9.0	690000000000007E-2	9.2319999999999999E-2	9.3949999999999992E-2	9.4770000000000007E-2	9.7629999999999995E-2	9.9670000000000009E-2	0.10049	0.61799999999999999	2.8820000000000001	28.405999999999999	40.139000000000003	65.456999999999994	93.245999999999995	110.94799999999999	130.91499999999999	119.79900000000001	141.82400000000001	144.29400000000001	154.99799999999999	158.49700000000001	150.47	165.084	166.31899999999999	161.99700000000001	168.37799999999999	172.90600000000001	185.25700000000001	205.63499999999999	214.07400000000001	195.34299999999999	201.10599999999999	218.60300000000001	211.19300000000001	218.60300000000001	218.191	244.745	228.68899999999999	235.68799999999999	261.82900000000001	251.126	255.654	258.74200000000002	266.56400000000002	270.06299999999999	280.149	292.5	275.62099999999998	300.11599999999999	314.113	286.73599999999999	294.97000000000003	304.85000000000002	309.99599999999998	319.053	324.19900000000001	333	.05	339.637	347.04700000000003	348.69400000000002	366.19099999999997	329.75700000000001	357.75099999999998	372.572	348.28199999999998	347.87099999999998	376.68799999999999	384.30500000000001	398.91899999999998	373.80700000000002	389.245	394.185	401.80099999999999	411.476	415.59199999999998	428.35399999999998	406.74099999999999	421.56200000000001	425.47300000000001	439.05799999999999	445.43900000000002	451.40899999999999	433.089	458.40699999999998	464.58199999999999	471.16899999999998	475.286	481.05	487.01900000000001	490.93	495.66399999999999	505.339	512.13199999999995	523.24699999999996	523.45299999999997	520.15899999999999	531.68600000000004	540.12599999999998	548.97699999999998	556.79899999999998	563.59199999999998	581.29399999999998	568.53200000000004	571.62	586.44000000000005	594.67399999999998	600.64300000000003	610.11199999999997	616.69899999999996	629.04899999999998	62	5.75599999999997	627.81399999999996	626.99099999999999	646.54600000000005	654.98500000000001	653.54399999999998	656.42600000000004	665.89499999999998	664.04200000000003	662.18899999999996	671.86400000000003	671.86400000000003	671.65800000000002	671.65800000000002	671.65800000000002	671.65800000000002	671.65800000000002	671.65800000000002	671.86400000000003	671.65800000000002	671.86400000000003	671.86400000000003	671.86400000000003	671.65800000000002	671.65800000000002	666.71799999999996	671.65800000000002	666.71799999999996	661.77800000000002	656.22	664.86500000000001	659.92499999999995	656.83799999999997	653.75	653.95600000000002	650.04499999999996	645.928	641.19399999999996	639.34100000000001	635.22400000000005	628.6	3699999999994	636.25400000000002	631.51900000000001	627.81399999999996	625.75599999999997	621.22699999999998	612.99400000000003	607.024	615.25800000000004	610.52300000000002	604.34799999999996	594.88	583.35199999999998	583.55799999999999	583.35199999999998	566.26800000000003	558.24	551.24099999999999	544.86	535.803	540.53800000000001	530.24599999999998	522.01199999999994	519.54200000000003	513.77800000000002	507.80900000000003	497.92899999999997	481.46100000000001	482.49099999999999	Deformação
Tensão (MPa)
Tensão x Deformação
Cobre	8.1999999999999998E-4	1.23E-3	1.23E-3	1.6300000000000002E-3	1.6300000000000002E-3	1.6300000000000002E-3	2.8599999999999997E-3	2.8599999999999997E-3	2.8599999999999997E-3	3.6800000000000001E-3	3.6800000000000001E-3	4.4900000000000001E-3	4.4900000000000001E-3	4.8999999999999998E-3	5.3100000000000005E-3	5.7199999999999994E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.5400000000000007E-3	7.7600000000000004E-3	7.7600000000000004E-3	7.7600000000000004E-3	8.5799999999999991E-3	9.7999999999999997E-3	9.7999999999999997E-3	1.0209999999999999E-2	1.0620000000000001E-2	1.1439999999999999E-2	1.1439999999999999E-2	1.225E-2	1.3480000000000001E-2	1.43E-2	1.5109999999999998E-2	1.593E-2	1.6750000000000001E-2	1.7569999999999999E-2	1.9199999999999998E-2	2.3279999999999999E-2	2.41E-2	2.5739999999999999E-2	2.7779999999999999E-2	3.0640000000000001E-2	3.2680000000000001E-2	3.431E-2	3.6360000000000003E-2	3.9620000000000002E-2	4.2889999999999998E-2	4.5749999999999999E-2	4.7789999999999999E-2	5.0250000000000003E-2	5.3920000000000003E-2	5.6369999999999996E-2	5.842E-2	6.087E-2	6.3320000000000001E-2	6.5769999999999995E-2	7.0669999999999997E-2	7.3940000000000006E-2	7.5979999999999992E-2	7.9660000000000009E-2	8.2110000000000002E-28.4559999999999996E-2	8.5379999999999998E-2	8.7010000000000004E-2	8.9870000000000005E-2	9.2319999999999999E-2	9.4359999999999999E-2	9.7220000000000001E-2	0.10049	0.10375999999999999	0.10662000000000001	0.10989	0.11275	0.11478999999999999	0.11683	0.11968999999999999	0.12173	0.12418	0.12540999999999999	0.12744999999999998	0.12908	0.13235	0.1348	0.13807	0.14010999999999998	0.14297000000000001	0.145830	00000000002	0.14992	0.15278	0.15604999999999999	0.16175999999999999	0.16503000000000001	0.16789000000000001	-0.20599999999999999	1.2350000000000001	3.0880000000000001	4.734	9.0570000000000004	10.497999999999999	16.260999999999999	20.584	26.759	32.93500000000000	2	39.726999999999997	49.813000000000002	53.93	58.046999999999997	70.397999999999996	66.486999999999995	76.572999999999993	79.866	87.688000000000002	94.275000000000006	104.361	114.85899999999999	123.29900000000001	134.208	151.499	139.35400000000001	161.791	173.524	180.11099999999999	196.578	211.60400000000001	235.482	248.03800000000001	263.27	272.73899999999998	282.41300000000001	297.02800000000002	301.96800000000002	301.351	301.55700000000002	303.82100000000003	302.79199999999997	301.14499999999998	302.38	297.64600000000002	298.67500000000001	301.96800000000002	298.05700000000002	298.26299999999998	295.99900000000002	299.49799999999999	294.97000000000003	300.11599	999999999	295.79300000000001	293.73500000000001	294.76400000000001	295.99900000000002	291.47000000000003	291.26499999999999	286.52999999999997	290.44099999999997	284.26600000000002	282.82499999999999	283.23700000000002	283.03100000000001	282.61900000000003	279.12	275.209	272.53	300000000002	272.73899999999998	269.85700000000003	269.24	261.41800000000001	257.09500000000003	255.24199999999999	250.714	247.42	244.95	242.06899999999999	239.804	238.56899999999999	231.36500000000001	230.953	219.83799999999999	213.86799999999999	208.31100000000001	202.34100000000001	196.78399999999999	186.08	180.316	165.084	152.52799999999999	142.03	SAE 1020	0	4.0999999999999999E-4	4.0999999999999999E-4	4.0999999999999999E-4	1.6300000000000002E-3	1.6300000000000002E-3	1.6300000000000002E-3	2.0399999999999997E-3	2.4499999999999999E-3	2.4499999999999999E-3	2.4499999999999999E-3	2.4499999999999999E-3	2.4499999999999999E-3	2.8599999999999997E-3	2.8599999999999997E-3	2.8599999999999997E-3	3.2700000000000003E-3	3.2700000000000003E-3	3.6800000000000001E-3	3.6800000000000001E-3	3.6800000000000001E-3	3.6800000000000001E-3	4.0799999999999994E-3	4.0799999999999994E-3	4.0799999999999994E-3	4.4900000000000001E-3	4.4900000000000001E-3	4.4900000000000001E-3	4.4900000000000001E-3	4.8999999999999998E-3	4.8999999999999998E-3	4.8999999999999998E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.7199999999999994E-3	5.7199999999999994E-3	6.13E-3	6.13E-3	6.13E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.9399999999999991E-3	6.939999999999	9991E-3	6.	9399999999999991E-3	6.9399999999999991E-3	6.9399999999999991E-3	6.9399999999999991E-3	6.9399999999999991E-3	7.3499999999999998E-3	7.3499999999999998E-3	7.3499999999999998E-3	7.7600000000000004E-3	7.7600000000000004E-3	8.1700000000000002E-3	8.1700000000000002E-3	8.1700000000000002E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.5799999999999991E-3	8.9899999999999997E-3	8.9899999999999997E-3	8.9899999999999997E-3	9.3999999999999986E-3	9.3999999999999986E-3	9.3999999999999986E-3	9.7999999999999997E-3	9.7999999999999997E-3	9.7999999999999997E-3	9.7999999999999997E-3	1.0209999999999999E-2	1.0209999999999999E-2	1.0209999999999999E-2	1.0620000000000001E-2	1.0620000000000001E-2	1.0620000000000001E-2	1.103E-2	1.103E-2	1.103E-2	1.1439999999999999E-2	1.1439999999999999E-2	1.1850000000000001E-2	1.1850000000000001E-2	1.225E-2	1.225E-2	1.225E-2	1.2659999999999999E-2	1.2659999999999999E-2	1.2659999999999999E-2	1.2659999999999999E-2	1.3480000000000001E-2	1.3480000000000001E-2	1.389E-2	1.43E-2	1.4710000000000001E-2	1.4710000000000001E-2	1.4710000000000001E-2	1.5109999999999998E-2	1.593E-2	1.593E-2	1.593E-2	1.7159999999999998E-2	1.7569999999999999E-2	1.797E-2	1.8380000000000001E-2	1.9610000000000002E-2	2.0830000000000001E-2	2.206E-2	2.2879999999999998E-2	2.3690000000000003E-2	2.4510000000000001E-2	2.5739999999999999E-2	2.5739999999999999E-2	2.6960000000000001E-2	2.819E-2	2.9409999999999999E-2	3.1859999999999999E-2	3.3500000000000002E-2	3.5130000000000002E-2	3.6360000000000003E-2	3.6760000000000001E-2	3.9620000000000002E-2	3.9620000000000002E-2	3.9620000000000002E-2	4.0030000000000003E-2	4.1669999999999999E-2	4.2889999999999998E-2	4.3710000000000006E-2	4.4930000000000005E-2	4.616E-2	4.7390000000000002E-2	4.82E-2	4.9020000000000001E-2	5.0650000000000001E-2	5.1060000000000001E-2	5.1470000000000002E-2	5.2699999999999997E-2	5.4329999999999996E-2	5.6369999999999996E-2	5.7599999999999998E-2	5.9229999999999998E-2	5.9640000000000006E-2	6.0049999999999999E-2	6.3320000000000001E-2	6.4950000000000008E-2	6.863000000000001E-2	7.0669999999999997E-2	7.107999999999999E-2	7.4349999999999999E-2	7.8840000000000007E-2	8.0879999999999994E-2	8.2110000000000002E-2	8.4149999999999989E-2	8.4559999999999996E-2	8.6599999999999996E-2	8.904999999999999E-2	9.0690000000000007E-2	9.2319999999999999E-2	9.3949999999999992E-2	9.4770000000000007E-2	9.7629999999999995E-2	9.9670000000000009E-2	0.10049	0.61799999999999999	2.8820000000000001	28.405999999999999	40.139000000000003	65.456999999999994	93.245999999999995	110.94799999999999	130.91499999999999	119.79900000000001	141.82400000000001	144.29400000000001	154.99799999999999	158.49700000000001	150.47	165.084	166.31899999999999	161.99700000000001	168.37799999999999	172.90600000000001	185.25700000000001	205.63499999999999	214.07400000000001	195.34299999999999	201.10599999999999	218.60300000000001	211.19300000000001	218.60300000000001	218.191	24	4.745	228.68899999999999	235.68799999999999	261.82900000000001	251.126	255.654	258.74200000000002	266.56400000000002	270.06299999999999	280.149	292.5	275.62099999999998	300.11599999999999	314.113	286.73599999999999	294.97000000000003	304.85000000000002	309.99599999999998	319.053	324.19900000000001	333.05	339.637	347.04700000000003	348.69400000000002	366.19099999999997	329.75700000000001	357.75099999999998	372.572	348.28199999999998	347.87099999999998	376.68799999999999	384.30500000000001	398.91899999999998	373.80700000000002	389.245	394.185	401.80099999999999	411.476	415.59199999999998	428.35399999999998	406.74099999999999	421.56200000000001	425.47300000000001	439	.05799999999999	445.43900000000002	451.40899999999999	433.089	458.40699999999998	464.58199999999999	471.16899999999998	475.286	481.05	487.01900000000001	490.93	495.66399999999999	505.339	512.13199999999995	523.2	4699999999996	523.45299999999997	520.15899999999999	531.68600000000004	540.12599999999998	548.97699999999998	556.79899999999998	563.59199999999998	581.29399999999998	568.53200000000004	571.62	586.44000000000005	594.67399999999998	600.64300000000003	610.11199999999997	616.69899999999996	629.04899999999998	625.75599999999997	627.81399999999996	626.99099999999999	646.54600000000005	654.98500000000001	653.54399999999998	656.42600000000004	665.89499999999998	664.04200000000003	662.18899999999996	671.86400000000003	671.86400000000003	671.65800000000002	671.65800000000002	671.65800000000002	671.65800000000002	671.65800000000002	671.65800000000002	671.86400000000003	671.65800000000002	671.86400000000003	671.86400000000003	671.86400000000003	671.65800000000002	671.65800000000002	666.71799999999996	671.65800000000002	666.71799999999996	661.77800000000002	656.22	664.86500000000001	659.92499999999995	656.83799999999997	653.75	653.95600000000002	650.04499999999996	645.928	641.19399999999996	639.34100000000001	635.22400000000005	628.63699999999994	636.25400000000002	631.51900000000001	627.81399999999996	625.75599999999997	621.22699999999998	612.	99400000000003	607.024	615.25800000000004	610.52300000000002604.34799999999996	594.88	583.35199999999998	583.55799999999999	583.35199999999998	566.26800000000003	558.24	551.24099999999999	544.86	535.803	540.53800000000001	530.24599999999998	522.01199999999994	519.54200000000003	513.77800000000002	507.80900000000003	497.92899999999997	481.46100000000001	482.49099999999999	Alumínio	0	4.0999999999999999E-4	8.1999999999999998E-4	8.1999999999999998E-4	1.6300000000000002E-3	2.0399999999999997E-3	3.2700000000000003E-3	3.2700000000000003E-3	4.8999999999999998E-3	4.8999999999999998E-3	5.3100000000000005E-3	5.3100000000000005E-3	5.3100000000000005E-3	6.5400000000000007E-3	6.5400000000000007E-3	6.9399999999999991E-3	7.3499999999999998E-3	7.3499999999999998E-3	7.7600000000000004E-3	7.7600000000000004E-3	8.1700000000000002E-3	8.5799999999999991E-3	8.9899999999999997E-3	9.3999999999999986E-3	9.3999999999999986E-3	1.0209999999999999E-2	1.0209999999999999E-2	1.0209999999999999E-2	1.103E-2	1.1439999999999999E-2	1.225E-2	1.2659999999999999E-2	1.2659999999999999E-2	1.307E-2	1.3480000000000001E-2	1.43E-2	1.43E-2	1.5109999999999998E-2	1.593E-2	1.6750000000000001E-2	1.797E-2	1.8380000000000001E-2	2.0019999999999996E-2	2.0419999999999997E-2	2.1240000000000002E-2	2.1240000000000002E-2	2.206E-2	2.247E-2	2.3279999999999999E-2	2.3690000000000003E-2	2.41E-2	2.4920000000000001E-2	2.5739999999999999E-2	2.7370000000000002E-2	2.7370000000000002E-2	2.7779999999999999E-2	2.8999999999999998E-2	3.0640000000000001E-2	3.1449999999999999E-2	3.1449999999999999E-2	3.2680000000000001E-2	3.3910000000000003E-2	3.4720000000000001E-2	3.5130000000000002E-2	3.5950000000000003E-2	3.6760000000000001E-2	3.7580000000000002E-2	3.8399999999999997E-2	3.8809999999999997E-2	3.9620000000000002E-2	4.0849999999999997E-2	4.1260000000000005E-2	4.1669999999999999E-2	4.2480000000000004E-2	4.3710000000000006E-2	4.5339999999999998E-2	4.5749999999999999E-2	4.6980000000000001E-2	4.82E-2	4.861E-2	4.9840000000000002E-2	5.1060000000000001E-2	5.1060000000000001E-2	5.1470000000000002E-2	5.2699999999999997E-2	5.3510000000000002E-2	5.4329999999999996E-2	5.5149999999999998E-2	5.5960000000000003E-2	5.677999999999	9997E-2	5.7599999999999998E-2	5.8819999999999997E-2	5.9229999999999998E-2	6.087E-2	6.1679999999999999E-2	6.3320000000000001E-2	6.454E-2	6.6180000000000003E-2	6.7400000000000002E-2	6.9440000000000002E-2	7.0260000000000003E-2	7.1489999999999998E-2	7.2709999999999997E-2	7.3529999999999998E-2	7.4349999999999999E-2	7.5160000000000005E-2	7.639E-2	7.7609999999999998E-2	7.8840000000000007E-2	8.0070000000000002E-2	8.1290000000000001E-2	8.2110000000000002E-2	8.3740000000000009E-2	8.4970000000000004E-2	8.6599999999999996E-2	8.864000000000001E-2	9.0690000000000007E-2	9.0690000000000007E-2	9.3140000000000001E-2	9.4770000000000007E-2	9.6000000000000002E-2	9.7629999999999995E-2	9.804	0000000000002E-2	9.9670000000000009E-2	0.1009	0.10294	0.10335000000000001	0.10375999999999999	0.10539	0.10621	0.10743	0.10825	0.10825	0.10989	0.11070000000000001	0.11151999999999999	0.11234	0.11355999999999999	0.11438000000000001	0.1152	0.11683	0.11846	0.11968999999999999	0.12051000000000001	0.12255000000000001	0.12255000000000001	0.12377000000000001	0.125	0.12662999999999999	0.12704000000000001	0.12868000000000002	0.12908	0.13031000000000001	0.13153999999999999	0.13317000000000001	0.13399	0.13561999999999999	0.13766	0.13930000000000001	0.13971	0.14257	0.14297000000000001	0.14583000000000002	0.14951	0.15195999999999998	0.	15319000000000002	0.15686	-0.61799999999999999	-0.20599999999999999	1.2350000000000001	8.0280000000000005	16.466999999999999	26.347999999999999	37.875	46.932000000000002	55.371000000000002	61.545999999999999	71.632999999999996	83.364999999999995	91.186999999999998	97.98	107.03700000000001	111.36	103.33199999999999	116.91800000000001	121.446	135.6	49	127.827	140.589	149.23400000000001	145.32400000000001	153.96899999999999	157.46799999999999	161.173	164.673	171.67099999999999	168.172	174.75899999999999	177.023	179.28700000000001	181.14	183.404	185.05099999999999	187.10900000000001	188.34399999999999	190.81399999999999	192.46100000000001	192.667	195.54900000000001	196.37200000000001	196.37200000000001	197.81299999999999	198.22499999999999	198.636	199.66499999999999	200.077	200.28299999999999	201.518	202.136	202.34100000000001	202.959	201.31200000000001	204.19399999999999	204.4	204.81100000000001	204.19399999999999	206.25200000000001	205.429	206.25200000000001	205.017	205.223000	00000001	207.07599999999999	206.87	207.28200000000001	207.28200000000001	207.48699999999999	207.48699999999999	207.48699999999999	207.69300000000001	207.69300000000001	207.48699999999999	207.899	207.28200000000001	207.69300000000001	205.84100000000001	207.48699999999999	208.31100000000001	208.31100000000001	208.10499999999999	207.07599999999999	207.28200000000001	208.517	206.87	208.517	206.66399999999999	205.63499999999999	206.87	207.07599999999999	206.66399999999999	205.84100000000001	206.66399999999999	204.60599999999999	204.81100000000001	204.81100000000001	203.37100000000001	201.93	202.959	201.93	202.136	201.10599999999999	200.90100000000001	199.048	200.077	199.25399999999999	198.43	197.81299999999999	197.19499999999999	196.578	195.96	194.93100000000001	193.07900000000001	192.667	191.84399999999999	189.99100000000001	188.55	188.13800000000001	187.10900000000001	185.25700000000001	185.25700000000001	183.61	182.375	181.55099999999999	180.72800000000001	179.69900000000001	178.464	178.05199999999999	176.61099999999999	175.78800000000001	174.965	173.935	172.90600000000001	172.7	171.465	170.642	169.40700000000001	168.37799999999999	167.34800000000001	165.49600000000001	163.643	162.614	162.614	160.96700000000001	159.93799999999999	158.49700000000001	157.05600000000001	155.61600000000001	153.96899999999999	151.91	149.64599999999999	149.23400000000001	147.58799999999999	146.14699999999999	144.70599999999999	142.44200000000001	140.178	138.94200000000001	136.47200000000001	132.56100000000001	131.94399999999999	127.41500000000001	92.628	74.72	54.753999999999998	19.966999999999999	Deformação
Tensão (MPa)
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