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ENSAIO DE TRAÇÃO AVALIAÇÃO DOS RESULTADOS 1. Crie uma tabela semelhante à apresentada abaixo para cada um dos materiais. Anote os valores obtidos no experimento e utilize as equações apresentadas no sumário teórico e a relação abaixo para calcular a força atuante sobre o corpo de prova. 1 kgf = 9.8067 N Ensaio de Tração – Aço Carbono ASTM A36 CP 01 CP 02 CP 03 Carga (kgf/cm²) Força (kgf) Força (N) Carga (kgf/cm²) Força (kgf) Força (N) Carga (kgf/cm²) Força (kgf) Força (N) 13,0 24,0 37,0 48,0 61,0 68,0 76,0 82,0 87,0 92,0 93,0 91,0 94,0 111,0 124,0 133,0 137,0 140,0 142,0 143,0 144,0 145,0 145,0 146,0 147,0 146,0 146,5 146,0 146,0 145,0 143,0 142,0 141,0 140,0 137,0 135,0 132,0 128,0 123,0 116,0 108,0 84,5 156,0 240,5 312,0 396,5 442,0 494,0 533,0 565,5 598,0 604,5 591,5 611,0 721,5 806,0 864,5 890,5 910,0 923,0 929,5 936,0 942,5 942,5 949,0 955,5 949,0 952,3 949,0 949,0 942,5 929,5 923,0 916,5 910,0 890,5 877,5 858,0 832,0 799,5 754,0 702,0 828,7 1529,8 2358,5 3059,7 3888,4 4334,6 4844,5 5227,0 5545,7 5864,4 5928,2 5800,7 5991,9 7075,5 7904,2 8477,9 8732,9 8924,1 9051,6 9115,3 9179,1 9242,8 9242,8 9306,6 9370,3 9306,6 9338,4 9306,6 9306,6 9242,8 9115,3 9051,6 8987,8 8924,1 8732,9 8605,4 8414,1 8159,2 7840,5 7394,3 6884,3 13,0 25,0 37,0 50,0 63,0 70,0 77,0 84,0 89,0 94,0 96,0 94,0 96,0 113,0 127,0 136,0 141,0 143,0 146,0 147,0 148,0 149,0 149,0 150,0 151,0 150,0 150,0 149,0 149,0 148,0 147,0 146,0 145,0 143,0 141,0 138,0 135,0 132,0 126,0 119,0 111,0 84,5 162,5 240,5 325,0 409,5 455,0 500,5 546,0 578,5 611,0 624,0 611,0 624,0 734,5 825,5 884,0 916,5 929,5 949,0 955,5 962,0 968,5 968,5 975,0 981,5 975,0 975,0 968,5 968,5 962,0 955,5 949,0 942,5 929,5 916,5 897,0 877,5 858,0 819,0 773,5 721,5 828,7 1593,6 2358,5 3187,2 4015,8 4462,0 4908,3 5354,5 5673,2 5991,9 6119,4 5991,9 6119,4 7203,0 8095,4 8669,1 8987,8 9115,3 9306,6 9370,3 9434,0 9497,8 9497,8 9561,5 9625,3 9561,5 9561,5 9497,8 9497,8 9434,0 9370,3 9306,6 9242,8 9115,3 8987,8 8796,6 8605,4 8414,1 8031,7 7585,5 7075,5 12,0 23,0 35,0 47,0 58,0 66,0 72,0 78,0 83,0 87,0 89,0 87,0 89,0 105,0 118,0 126,0 131,0 133,0 135,0 136,0 137,0 138,0 138,0 139,0 140,0 139,0 139,0 138,0 138,0 137,0 136,0 135,0 134,0 133,0 130,0 128,0 125,0 122,0 117,0 111,0 103,0 78,0 149,5 227,5 305,5 377,0 429,0 468,0 507,0 539,5 565,5 578,5 565,5 578,5 682,5 767,0 819,0 851,5 864,5 877,5 884,0 890,5 897,0 897,0 903,5 910,0 903,5 903,5 897,0 897,0 890,5 884,0 877,5 871,0 864,5 845,0 832,0 812,5 793,0 760,5 721,5 669,5 764,9 1466,1 2231,0 2995,9 3697,1 4207,1 4589,5 4972,0 5290,7 5545,7 5673,2 5545,7 5673,2 6693,1 7521,7 8031,7 8350,4 8477,9 8605,4 8669,1 8732,9 8796,6 8796,6 8860,4 8924,1 8860,4 8860,4 8796,6 8796,6 8732,9 8669,1 8605,4 8541,6 8477,9 8286,7 8159,2 7967,9 7776,7 7458,0 7075,5 6565,6 Tabela 1 – Força atuante nos corpos de prova Ensaio de Tração – Liga de Alumínio 2024 CP 01 CP 02 CP 03 Carga (kgf/cm²) Força (kgf) Força (N) Carga (kgf/cm²) Força (kgf) Força (N) Carga (kgf/cm²) Força (kgf) Força (N) 25,0 51,0 76,0 102,0 123,0 143,0 146,0 150,0 152,0 154,0 160,0 167,0 172,0 176,0 179,0 182,0 185,0 187,0 189,0 191,0 192,0 193,0 194,0 195,0 196,0 196,5 197,0 197,5 197,0 196,5 196,0 195,0 194,0 193,0 185,0 178,0 162,50 331,50 494,00 663,00 799,50 929,50 949,00 975,00 988,00 1001,00 1040,00 1085,50 1118,00 1144,00 1163,50 1183,00 1202,50 1215,50 1228,50 1241,50 1248,00 1254,50 1261,00 1267,50 1274,00 1277,25 1280,50 1283,75 1280,50 1277,25 1274,00 1267,50 1261,00 1254,50 1202,50 1157,00 1593,59 3250,92 4844,51 6501,84 7840,46 9115,33 9306,56 9561,53 9689,02 9816,51 10198,97 10645,17 10963,89 11218,86 11410,10 11601,33 11792,56 11920,04 12047,53 12175,02 12238,76 12302,51 12366,25 12429,99 12493,74 12525,61 12557,48 12589,35 12557,48 12525,61 12493,74 12429,99 12366,25 12302,51 11792,56 11346,35 25,0 49,0 74,0 98,0 118,0 138,0 142,0 145,0 147,0 149,0 156,0 163,0 166,0 171,0 174,0 177,0 179,0 182,0 183,0 186,0 187,0 188,0 189,0 189,5 190,0 190,5 191,0 192,0 191,0 190,5 190,0 189,0 188,0 187,0 180,0 173,0 162,50 318,50 481,00 637,00 767,00 897,00 923,00 942,50 955,50 968,50 1014,00 1059,50 1079,00 1111,50 1131,00 1150,50 1163,50 1183,00 1189,50 1209,00 1215,50 1222,00 1228,50 1231,75 1235,00 1238,25 1241,50 1248,00 1241,50 1238,25 1235,00 1228,50 1222,00 1215,50 1170,00 1124,50 1476,59 2894,11 4370,70 5788,23 6969,50 8150,77 8387,02 8564,21 8682,34 8800,47 9213,91 9627,36 9804,55 10099,87 10277,06 10454,25 10572,38 10749,57 10808,63 10985,82 11044,88 11103,95 11163,01 11192,54 11222,07 11251,61 11281,14 11340,20 11281,14 11251,61 11222,07 11163,01 11103,95 11044,88 10631,44 10217,99 23,0 47,0 71,0 94,0 113,0 133,0 137,0 140,0 141,0 143,0 149,0 156,0 160,0 164,0 167,0 170,0 172,0 175,0 177,0 178,0 179,0 180,0 181,0 182,0 182,5 183,0 183,5 184,0 183,5 183,0 182,5 181,0 180,0 179,0 172,0 166,0 149,50 305,50 461,50 611,00 734,50 864,50 890,50 910,00 916,50 929,50 968,50 1014,00 1040,00 1066,00 1085,50 1105,00 1118,00 1137,50 1150,50 1157,00 1163,50 1170,00 1176,50 1183,00 1186,25 1189,50 1192,75 1196,00 1192,75 1189,50 1186,25 1176,50 1170,00 1163,50 1118,00 1079,00 1466,10 2995,95 4525,79 5991,89 7203,02 8477,89 8732,87 8924,10 8987,84 9115,33 9497,79 9943,99 10198,97 10453,94 10645,17 10836,40 10963,89 11155,12 11282,61 11346,35 11410,10 11473,84 11537,58 11601,33 11633,20 11665,07 11696,94 11728,81 11696,94 11665,07 11633,20 11537,58 11473,84 11410,10 10963,89 10581,43 Tabela 1 – Força atuante nos corpos de prova Ensaio de Tração – Liga de Titânio 6AI-4V CP 01 CP 02 CP 03 Carga (kgf/cm²) Força (kgf) Força (N) Carga (kgf/cm²) Força (kgf) Força (N) Carga (kgf/cm²) Força (kgf) Força (N) 20,0 59,0 91,0 130,0 153,0 177,0 200,0 223,0 244,0 275,0 287,0 302,0 310,0 317,0 327,0 332,0 334,0 335,0 336,0 336,5 337,0 337,5 338,0 338,5 339,0 339,5 340,0 340,0 339,5 337,0 332,0 327,0 323,0 318,0 315,0 310,0 305,0 301,0 296,0 293,0 287,0 283,0 278,0 274,0 130,00 383,50 591,50 845,00 994,50 1150,50 1300,00 1449,50 1586,00 1787,50 1865,50 1963,00 2015,00 2060,50 2125,50 2158,00 2171,00 2177,50 2184,00 2187,25 2190,50 2193,75 2197,00 2200,25 2203,50 2206,75 2210,00 2210,00 2206,75 2190,50 2158,00 2125,50 2099,50 2067,00 2047,50 2015,00 1982,50 1956,50 1924,00 1904,50 1865,50 1839,50 1807,00 1781,00 1274,87 3760,87 5800,66 8286,66 9752,76 11282,61 12748,71 14214,81 15553,43 17529,48 18294,4019250,55 19760,50 20206,71 20844,14 21162,86 21290,35 21354,09 21417,83 21449,70 21481,58 21513,45 21545,32 21577,19 21609,06 21640,94 21672,81 21672,81 21640,94 21481,58 21162,86 20844,14 20589,17 20270,45 20079,22 19760,50 19441,78 19186,81 18868,09 18676,86 18294,40 18039,42 17720,71 17465,73 18,0 56,0 87,0 123,0 146,0 167,0 190,0 212,0 233,0 261,0 273,0 285,0 293,0 302,0 312,0 315,0 317,0 317,5 318,0 319,0 319,5 320,0 320,5 321,0 321,5 322,0 322,5 322,5 322,0 320,0 315,0 311,0 307,0 302,0 298,0 294,0 290,0 285,0 281,0 277,0 273,0 268,0 264,0 260,0 117,00 364,00 565,50 799,50 949,00 1085,50 1235,00 1378,00 1514,50 1696,50 1774,50 1852,50 1904,50 1963,00 2028,00 2047,50 2060,50 2063,75 2067,00 2073,50 2076,75 2080,00 2083,25 2086,50 2089,75 2093,00 2096,25 2096,25 2093,00 2080,00 2047,50 2021,50 1995,50 1963,00 1937,00 1911,00 1885,00 1852,50 1826,50 1800,50 1774,50 1742,00 1716,00 1690,00 1147,38 3569,64 5545,69 7840,46 9306,56 10645,17 12111,27 13513,63 14852,25 16637,07 17401,99 18166,91 18676,86 19250,55 19887,99 20079,22 20206,71 20238,58 20270,45 20334,19 20366,06 20397,94 20429,81 20461,68 20493,55 20525,42 20557,29 20557,29 20525,42 20397,94 20079,22 19824,24 19569,27 19250,55 18995,58 18740,60 18485,63 18166,91 17911,94 17656,96 17401,99 17083,27 16828,30 16573,32 18,0 57,0 87,0 125,0 147,0 170,0 192,0 213,0 234,0 262,0 276,0 288,0 296,0 304,0 314,0 317,0 320,0 321,0 321,5 322,0 322,5 323,0 323,5 324,0 324,5 325,0 325,5 325,5 324,5 322,5 318,0 313,0 310,0 305,0 301,0 296,0 292,0 287,0 283,0 279,0 275,0 270,0 266,0 262,0 117,00 370,50 565,50 812,50 955,50 1105,00 1248,00 1384,50 1521,00 1703,00 1794,00 1872,00 1924,00 1976,00 2041,00 2060,50 2080,00 2086,50 2089,75 2093,00 2096,25 2099,50 2102,75 2106,00 2109,25 2112,50 2115,75 2115,75 2109,25 2096,25 2067,00 2034,50 2015,00 1982,50 1956,50 1924,00 1898,00 1865,50 1839,50 1813,50 1787,50 1755,00 1729,00 1703,00 1147,38 3633,38 5545,69 7967,94 9370,30 10836,40 12238,76 13577,38 14915,99 16700,81 17593,22 18358,14 18868,09 19378,04 20015,47 20206,71 20397,94 20461,68 20493,55 20525,42 20557,29 20589,17 20621,04 20652,91 20684,78 20716,65 20748,53 20748,53 20684,78 20557,29 20270,45 19951,73 19760,50 19441,78 19186,81 18868,09 18613,12 18294,40 18039,42 17784,45 17529,48 17210,76 16955,78 16700,81 Tabela 1 – Força atuante nos corpos de prova Ensaio de Tração – Liga de Alumínio 6061 CP 01 CP 02 CP 03 Carga (kgf/cm²) Força (kgf) Força (N) Carga (kgf/cm²) Força (kgf) Força (N) Carga (kgf/cm²) Força (kgf) Força (N) 3,0 10,0 18,0 25,0 32,0 40,0 47,0 54,0 61,0 68,0 75,0 86,0 89,0 92,0 95,0 96,0 98,0 100,0 103,0 105,0 106,0 107,0 108,0 109,0 109,5 110,0 109,5 109,0 108,0 107,0 105,0 102,0 93,0 19,50 65,00 117,00 162,50 208,00 260,00 305,50 351,00 396,50 442,00 487,50 559,00 578,50 598,00 617,50 624,00 637,00 650,00 669,50 682,50 689,00 695,50 702,00 708,50 711,75 715,00 711,75 708,50 702,00 695,50 682,50 663,00 604,50 191,23 637,44 1147,38 1593,59 2039,79 2549,74 2995,95 3442,15 3888,36 4334,56 4780,77 5481,95 5673,18 5864,41 6055,64 6119,38 6246,87 6374,36 6565,59 6693,07 6756,82 6820,56 6884,30 6948,05 6979,92 7011,79 6979,92 6948,05 6884,30 6820,56 6693,07 6501,84 5928,15 3,0 12,0 19,0 27,0 35,0 43,0 49,0 56,0 65,0 73,0 80,0 90,0 94,0 97,0 100,0 101,0 104,0 106,0 108,0 111,0 112,0 113,0 114,0 115,0 115,5 116,0 115,5 115,5 115,0 113,0 111,0 107,0 98,0 19,50 78,00 123,50 175,50 227,50 279,50 318,50 364,00 422,50 474,50 520,00 585,00 611,00 630,50 650,00 656,50 676,00 689,00 702,00 721,50 728,00 734,50 741,00 747,50 750,75 754,00 750,75 750,75 747,50 734,50 721,50 695,50 637,00 177,19 708,76 1122,21 1594,72 2067,22 2539,73 2894,11 3307,56 3839,13 4311,64 4725,08 5315,72 5551,97 5729,16 5906,36 5965,42 6142,61 6260,74 6378,86 6556,05 6615,12 6674,18 6733,24 6792,31 6821,84 6851,37 6821,84 6821,84 6792,31 6674,18 6556,05 6319,80 5788,23 3,0 11,0 18,0 25,0 33,0 40,0 47,0 54,0 62,0 69,0 76,0 86,0 90,0 94,0 96,0 97,0 99,0 101,0 104,0 106,0 107,0 108,0 109,0 110,0 110,5 111,0 111,0 110,5 110,0 108,0 106,0 103,0 93,0 19,50 71,50 117,00 162,50 214,50 260,00 305,50 351,00 403,00 448,50 494,00 559,00 585,00 611,00 624,00 630,50 643,50 656,50 676,00 689,00 695,50 702,00 708,50 715,00 718,25 721,50 721,50 718,25 715,00 702,00 689,00 669,50 604,50 191,23 701,18 1147,38 1593,59 2103,54 2549,74 2995,95 3442,15 3952,10 4398,30 4844,51 5481,95 5736,92 5991,89 6119,38 6183,12 6310,61 6438,10 6629,33 6756,82 6820,56 6884,30 6948,05 7011,79 7043,66 7075,53 7075,53 7043,66 7011,79 6884,30 6756,82 6565,59 5928,15 Tabela 1 – Força atuante nos corpos de prova ( LABORATÓRIO DE ESTRUTURAS ENSAIO DE TRAÇÃO ) ( 10 ) ( ALGETEC – SOLUÇÕES TECNOLÓGICAS EM EDUCAÇÃO CEP: 40260-215 Fone: 71 3272-3504 E-mail: contato@algetec.com.br | Site: www.algetec.com.br ) 2. Utilizando os dados das tabelas acima, calcule os valores de tensão e de deformação nos corpos de prova. Crie uma tabela semelhante à Tabela 2 para cada um dos materiais ensaiados e anote os valores calculados. Para auxiliá-lo nas conversões de unidade, lembre-se de que 1 N/mm² equivale a 1 MPa. Ensaio de Tração – Aço Carbono ASTM A36 CP 01 CP 02 CP 03 Tensão (MPa) Deformação (mm/mm) Tensão (MPa) Deformação (mm/mm) Tensão (MPa) Deformação (mm/mm) 35,522 65,579 101,101 131,158 166,680 185,807 207,667 224,061 237,724 251,386 254,119 248,654 256,851 303,303 338,825 363,417 374,347 382,544 388,009 390,741 393,474 396,206 396,206 398,939 401,671 398,939 400,305 398,939 398,939 396,206 390,741 388,009 385,276 382,544 374,347 368,882 360,684 349,755 336,092 316,965 295,105 0,0000 0,0001 0,0003 0,0004 0,0005 0,0005 0,0007 0,0008 0,0008 0,0010 0,0011 0,0048 0,0096 0,0148 0,0199 0,0249 0,0299 0,0346 0,0396 0,0448 0,0499 0,0549 0,0598 0,0647 0,0697 0,0749 0,0800 0,0849 0,0896 0,0947 0,0998 0,1049 0,1099 0,1148 0,1196 0,1247 0,1298 0,1350 0,1399 0,1446 0,1503 34,253 65,872 97,490 131,744 165,997 184,441 202,886 221,330 234,504 247,678 252,948 247,678 252,948 297,741 334,629 358,343 371,518 376,787 384,692 387,327 389,962 392,597 392,597 395,232 397,866 395,232 395,232 392,597 392,597 389,962 387,327 384,692 382,057 376,787 371,518 363,613 355,708 347,804 331,995 313,550 292,471 0,0000 0,0001 0,0002 0,0003 0,0004 0,0005 0,0006 0,0007 0,0008 0,0009 0,0010 0,0048 0,0096 0,0147 0,0199 0,0249 0,0299 0,0346 0,0396 0,0447 0,0498 0,0549 0,0597 0,0645 0,0697 0,0748 0,0799 0,0848 0,0896 0,0946 0,0998 0,1048 0,1099 0,1146 0,1195 0,12460,1298 0,1348 0,1398 0,1445 0,1497 34,027 65,218 99,245 133,271 164,462 187,147 204,160 221,174 235,351 246,694 252,365 246,694 252,365 297,734 334,596 357,281 371,458 377,129 382,801 385,636 388,472 391,307 391,307 394,143 396,978 394,143 394,143 391,307 391,307 388,472 385,636 382,801 379,965 377,129 368,623 362,952 354,445 345,938 331,760 314,747 292,063 0,0000 0,0001 0,0002 0,0003 0,0004 0,0006 0,0006 0,0007 0,0008 0,0009 0,0010 0,0048 0,0096 0,0147 0,0198 0,0249 0,0299 0,0346 0,0396 0,0447 0,0498 0,0549 0,0598 0,0646 0,0696 0,0748 0,0798 0,0849 0,0896 0,0946 0,0997 0,1048 0,1098 0,1147 0,1195 0,1246 0,1298 0,1348 0,1398 0,1445 0,1499 Tabela 2 – Tensão e deformação dos materiais Ensaio de Tração – Liga de Alumínio 2024 CP 01 CP 02 CP 03 Tensão (MPa) Deformação (mm/mm) Tensão (MPa) Deformação (mm/mm) Tensão (MPa) Deformação (mm/mm) 68,311 139,355 207,667 278,711 336,092 390,741 398,939 409,869 415,333 420,798 437,193 456,320 469,983 480,912 489,110 497,307 505,505 510,969 516,434 521,899 524,632 527,364 530,097 532,829 535,562 536,928 538,294 539,660 538,294 536,928 535,562 532,829 530,097 527,364 505,505 486,377 0,0000 0,0010 0,0020 0,0030 0,0040 0,0049 0,0058 0,0068 0,0077 0,0087 0,0148 0,0210 0,0270 0,0328 0,0387 0,0448 0,0510 0,0570 0,0628 0,0688 0,0749 0,0810 0,0869 0,0927 0,0989 0,1050 0,1110 0,1167 0,1228 0,1290 0,1350 0,1409 0,1467 0,1528 0,1590 0,1653 64,474 126,368 190,842 252,737 304,316 355,894 366,210 373,947 379,105 384,263 402,315 420,368 428,105 441,000 448,736 456,473 461,631 469,368 471,947 479,684 482,263 484,842 487,421 488,710 490,000 491,289 492,579 495,158 492,579 491,289 490,000 487,421 484,842 482,263 464,210 446,158 0,0000 0,0010 0,0020 0,0030 0,0040 0,0049 0,0058 0,0068 0,0077 0,0087 0,0148 0,0209 0,0270 0,0329 0,0387 0,0449 0,0510 0,0570 0,0627 0,0688 0,0749 0,0810 0,0869 0,0927 0,0988 0,1049 0,1110 0,1167 0,1227 0,1289 0,1350 0,1409 0,1466 0,1528 0,1589 0,1660 66,454 135,798 205,141 271,595 326,492 384,279 395,836 404,504 407,393 413,172 430,508 450,733 462,290 473,847 482,515 491,183 496,962 505,630 511,408 514,298 517,187 520,076 522,966 525,855 527,300 528,744 530,189 531,634 530,189 528,744 527,300 522,966 520,076 517,187 496,962 479,626 0,0000 0,0010 0,0020 0,0030 0,0040 0,0049 0,0058 0,0068 0,0077 0,0087 0,0149 0,0210 0,0271 0,0329 0,0388 0,0450 0,0511 0,0570 0,0627 0,0688 0,0751 0,0811 0,0870 0,0928 0,0989 0,1051 0,1110 0,1169 0,1229 0,1290 0,1351 0,1410 0,1467 0,1529 0,1591 0,1671 Tabela 2 – Tensão e deformação dos materiais Ensaio de Tração – Liga de Titânio 6AI-4V CP 01 CP 02 CP 03 Tensão (MPa) Deformação (mm/mm) Tensão (MPa) Deformação (mm/mm) Tensão (MPa) Deformação (mm/mm) 54,649 161,215 248,654 355,219 418,066 483,645 546,491 609,338 666,720 751,426 784,215 825,202 847,062 866,189 893,513 907,176 912,641 915,373 918,106 919,472 920,838 922,204 923,571 924,937 926,303 927,669 929,035 929,035 927,669 920,838 907,176 893,513 882,584 868,921 860,724 847,062 833,399 822,470 808,807 800,610 784,215 773,285 759,623 748,693 0,0000 0,0011 0,0019 0,0028 0,0033 0,0040 0,0045 0,0051 0,0056 0,0065 0,0071 0,0077 0,0082 0,0088 0,0101 0,0115 0,0140 0,0184 0,0227 0,0282 0,0346 0,0426 0,0519 0,0619 0,0736 0,0863 0,1001 0,1044 0,1116 0,1175 0,1275 0,1349 0,1401 0,1438 0,1467 0,1488 0,1504 0,1516 0,1525 0,1531 0,1536 0,1539 0,1542 0,1548 49,184 153,018 237,724 336,092 398,939 456,320 519,167 579,281 636,663 713,171 745,961 778,750 800,610 825,202 852,527 860,724 866,189 867,555 868,921 871,654 873,020 874,386 875,753 877,119 878,485 879,851 881,217 881,217 879,851 874,386 860,724 849,794 838,864 825,202 814,272 803,342 792,413 778,750 767,820 756,891 745,961 732,299 721,369 710,439 0,0000 0,0010 0,0018 0,0027 0,0033 0,0039 0,0045 0,0051 0,0056 0,0064 0,0070 0,0076 0,0082 0,0088 0,0099 0,0113 0,0139 0,0182 0,0225 0,0279 0,0343 0,0422 0,0515 0,0614 0,0730 0,0856 0,0992 0,1036 0,1107 0,1166 0,1265 0,1338 0,1391 0,1428 0,1455 0,1476 0,1492 0,1504 0,1512 0,1519 0,1523 0,1526 0,1529 0,1534 52,008 164,691 251,370 361,164 424,729 491,183 554,748 615,424 676,099 757,000 797,450 832,122 855,237 878,351 907,244 915,912 924,580 927,470 928,914 930,359 931,804 933,248 934,693 936,137 937,582 939,027 940,471 940,471 937,582 931,804 918,802 904,355 895,687 881,241 869,683 855,237 843,679 829,233 817,676 806,118 794,561 780,115 768,557 757,000 0,0000 0,0010 0,0018 0,0028 0,0033 0,0039 0,0045 0,0051 0,0057 0,0065 0,0070 0,0076 0,0082 0,0088 0,0100 0,0114 0,0140 0,0183 0,0226 0,0282 0,0346 0,0425 0,0519 0,0619 0,0735 0,0863 0,1001 0,1045 0,1116 0,1175 0,1274 0,1349 0,1402 0,1440 0,1467 0,1488 0,1504 0,1516 0,1524 0,1531 0,1535 0,1539 0,1542 0,1545 Tabela 2 – Tensão e deformação dos materiais Ensaio de Tração – Liga de Alumínio 6061 CP 01 CP 02 CP 03 Tensão (MPa) Deformação (mm/mm) Tensão (MPa) Deformação (mm/mm) Tensão (MPa) Deformação (mm/mm) 8,350 27,833 50,099 69,582 89,065 111,332 130,815 150,298 169,781 189,264 208,747 239,363 247,713 256,063 264,413 267,196 272,763 278,329 286,679 292,246 295,029 297,812 300,596 303,379 304,771 306,162 304,771 303,379 300,596 297,812 292,246 283,896 258,846 0,0000 0,0002 0,0004 0,0006 0,0008 0,0010 0,0012 0,0014 0,0016 0,0018 0,0020 0,0023 0,0024 0,0025 0,0027 0,0029 0,0035 0,0048 0,0096 0,0146 0,0198 0,0249 0,0299 0,0332 0,0396 0,0448 0,0499 0,0549 0,0584 0,0646 0,0697 0,0748 0,0797 7,458 29,832 47,234 67,122 87,011 106,899 121,815 139,217 161,591 181,479 198,881 223,742 233,686 241,144 248,602 251,088 258,546 263,518 268,490 275,948 278,434 280,920 283,406 285,892 287,135 288,378 287,135 287,135 285,892 280,920 275,948 266,004 243,630 0,0000 0,0002 0,0004 0,0006 0,0008 0,0010 0,0012 0,0014 0,0016 0,0018 0,0020 0,0023 0,0024 0,0025 0,0027 0,0029 0,0035 0,0048 0,0096 0,0147 0,0199 0,0249 0,0299 0,0346 0,0396 0,0447 0,0499 0,0549 0,0597 0,0646 0,0697 0,0749 0,0804 8,350 30,616 50,099 69,582 91,849 111,332 130,815 150,298 172,564 192,047 211,530 239,363 250,496 261,629 267,196 269,979 275,546 281,113 289,462 295,029 297,812 300,596 303,379 306,162 307,554 308,945 308,945 307,554 306,162 300,596 295,029 286,679 258,846 0,000 0,000 0,000 0,001 0,001 0,001 0,001 0,001 0,002 0,002 0,002 0,002 0,002 0,003 0,003 0,003 0,004 0,005 0,010 0,015 0,020 0,025 0,030 0,035 0,040 0,045 0,050 0,055 0,060 0,065 0,070 0,075 0,081 Tabela 2 – Tensão e deformação dos materiais 3. Com esses dados, construa o gráfico “Tensão(MPa) x Deformação (mm/mm)” para cada material ensaiado. 4. Com base nos gráficos construídos, determine os valores do módulo de elasticidade, limite de escoamento e limite de resistência à tração para cada material ensaiado. · Aço Carbono ASTM A36 Módulo de Elasticidade: Limite de Escoamento: Limite de Resistência à Tração: · Liga de Alumínio 2024 Módulo de Elasticidade: Limite de Escoamento: Limite de Resistência à Tração: · Liga de Titânio 6AI-4V Módulo de Elasticidade: Limite de Escoamento: Limite de Resistência à Tração: · Liga de Alumínio 6061 Módulo de Elasticidade: Limite de Escoamento: Limite de Resistência à Tração: Liga de Alumínio 2024 σ (Mpa) 0 1.0382513661202186E-3 1.9945355191256829E-3 2.9781420765027321E-3 3.9617486338797813E-3 4.9180327868852455E-3 5.8196721311475404E-3 6.80327868852459E-3 7.7049180327868842E-3 8.7158469945355192E-3 1.4754098360655738E-2 2.0983606557377049E-2 2.7049180327868853E-2 3.2841530054644803E-2 3.8743169398907103E-2 4.4836065573770491E-2 5.1010928961748629E-2 5.7049180327868855E-2 6.2759562841530059E-2 6.8797814207650271E-2 7.4945355191256821E-2 8.1010928961748621E-2 8.6885245901639346E-2 9.2704918032786882E-2 9.8879781420765034E-2 0.10497267759562841 0.11095628415300546 0.11666666666666665 0.12275956284153006 0.12896174863387977 0.13499999999999998 0.1409289617486339 0.14672131147540984 0.1528142076502732 0.15898907103825136 0.16530054644808734 68.31142882064058 6 139.35531479410679 207.66674361474739 278.71062958821358 336.09222979755168 390.74137285406414 398.93874431254096 409.86857292384349 415.33348722949478 420.79840153514601 437.19314445209972 456.32034452187906 469.98263028600718 480.9124588973097 489.10983035578658 497.30720181426341 505.50457327274034 510.96948757839158 516.43440188404281 521.89931618969399 524.63177334251975 527.36423049534528 530.09668764817093 532.82914480099657 535.56160195382211 536.92783053023504 538.29405910664786 539.66028768306057 538.29405910664786 536.92783053023504 535.56160195382211 532.82914480099657 530.09668764817093 527.36423049534528 505.50457327274034 486.377373202961 Liga de Titânio 6AI-4V 0 1.0684931506849315E-3 1.8630136986301372E-3 2.767123287671233E-3 3.3424657534246575E-3 3.9726027397260274E-3 4.5205479452054796E-3 5.1232876712328764E-3 5.6438356164383559E-3 6.5479452054794515E-3 7.0684931506849319E-3 7.6712328767123295E-3 8.21917808219178E-3 8.7945205479452049E-3 1.0054794520547946E-2 1.1479452054794521E-2 1.4027397260273973E-2 1.8356164383561645E-2 2.273972602739726E-2 2.8219178082191782E-2 3.4602739726027391E-2 4.2602739726027399E-2 5.1890410958904107E-2 6.1890410958904109E-2 7.3561643835616433E-2 8.6273972602739724E-2 0.10010958904109589 0.10443835616438356 0.11156164383561644 0.11750684931506848 0.12753424657534249 0.13487671232876713 0.14013698630136986 0.14383561643835616 0.14665753424657535 0.14882191780821918 0.1504109589041096 0.15156164383561643 0.1524657534246 5754 0.1531232876712329 0.15356164383561646 0.15391780821917808 0.15416438356164383 0.15479452054794518 54.649143056512465 161.214972 01671178 248.6536009071317 355.21942986733109 418.06594438232037 483.64491605013529 546.49143056512469 609.33794508011408 666.71954528945207 751.42571702704652 784.21520286095381 825.20206015333815 847.0617173759432 866.18891744572272 893.51348897397884 907.17577473810695 912.64068904375813 915.37314619658378 918.10560334940953 919.47183192582236 920.83806050223507 922.20428907864789 923.57051765506071 924.93674623147353 926.30297480788624 927.66920338429907 929.03543196071189 929.03543196071189 927.66920338429907 920.83806050223507 907.17577473810695 893.51348897397884 882.58366036267637 868.92137459854825 860.72400314007132 847.0617173759432 833.39943161181509 822.46960300051262 808.80731723638451 800.609 94577790768 784.21520286095381 773.28537424965134 759.62308848552323 748.69325987422087 Liga de Alumínio 6061 σ (Mpa) 0 2.1978021978021978E-4 4.1208791208791209E-4 5.7692307692307698E-4 8.2417582417582418E-4 1.0439560439560441E-3 1.2087912087912088E-3 1.3736263736263737E-3 1.5934065934065935E-3 1.7857142857142859E-3 2.0054945054945057E-3 2.3076923076923079E-3 2.4175824175824176E-3 2.4725274725274724E-3 2.6923076923076926E-3 2.8571428571428571E-3 3.5439560439560441E-3 4.807692307692308E-3 9.6153846153846159E-3 1.4642857142857145E-2 1.9835164835164835E-2 2.4945054945054945E-2 2.994505494505495E-2 3.3241758241758242E-2 3.9615384615384615E-2 4.4780219780219781E-2 4.9862637362637366E-2 5.4890109890109895E-2 5.8434065934065929E-2 6.4560439560439567E-2 6.9697802197802194E-2 7.483516483516485E-2 7.9670329670329637E-2 8.3498774261114264 27.832924753704752 50.099264556668551 69.582311884261884 89.065359211855224 111.33169901481901 130.81474634241235 150.29779367000569 169.780840997599 189.26388832519231 208.74693565278565 239.36315288186088 247.71303030797233 256.06290773408375 264.4127851601952 267.19607763556564 272.76266258630659 278.32924753704754 286.67912496315898 292.24570991389993 295.02900238927037 297.81229486464088 300.59558734001138 303.37887981538182 304.77052605306704 306.16217229075227 304.77052605306704 303.37887981538182 300.59558734001138 297.81229486464088 292.24570991389993 283.89583248778848 258.8462002094542 Tensão σ (MPa) x Deformação 𝜀 (mm/mm) Aço Carbono ASTM A36 0 1.366120218579235E-4 2.7322404371584699E-4 3.5519125683060104E-4 4.9180327868852448E-4 5.4644808743169399E-4 6.5573770491803279E-4 7.6502732240437158E-4 8.1967213114754087E-4 9.5628415300546459E-4 1.0655737704918032E-3 4.8360655737704917E-3 9.6448087431693988E-3 1.4754098360655738E-2 1.9918032786885243E-2 2.4945355191256832E-2 2.9945355191256833E-2 3.46448087431694E-2 3.9644808743169398E-2 4.4808743169398903E-2 4.9918032786885246E-2 5.4918032786885236E-2 5.9808743169398909E-2 6.46721311475409 87E-2 6.9699453551912566E-2 7.4863387978142085E-2 7.9972677595628414E-2 8.4918032786885242E-2 8.9617486338797805E-2 9.4672131147540972E-2 9.9781420765027329E-2 0.10491803278688523 0.10991803278688524 0.11475409836065574 0.11964480874316938 0.12472677595628416 0.12983606557377048 0.13497267759562842 0.13989071038251366 0.14464480874316937 0.15027322404371585 35.521942986733102 65.578971667814969 101.10091465454806 131.15794333562994 166.67988632236302 185.80708639214239 207.66674361474739 224.06148653170112 237.72377229582924 251.38605805995735 254.11851521278297 248.6536009071317 256.85097236560858 303.30274396364416 338.82468695037727 363.41680132580791 374.34662993711044 382.54400139558732 388.0089157012385 5 390.74137285406414 393.47383000688973 396.20628715971537 396.20628715971537 398.93874431254096 401.67120146536666 398.93874431254096 400.30497288895384 398.93874431254096 398.93874431254096 396.20628715971537 390.74137285406414 388.00891570123855 385.2764585484129 382.54400139558732 374.34662993711044 368.8817156314592 360.68434417298226 349.7545155616798 336.09222979755168 316.96502972777228 295.10537250516734 Liga de Titânio 6AI-4V 0 1.0684931506849315E-3 1.8630136986301372E-3 2.767123287671233E-3 3.3424657534246575E-3 3.9726027397260274E-3 4.5205479452054796E-3 5.1232876712328764E-3 5.6438356164383559E-3 6.5479452054794515E-3 7.0684931506849319E-3 7.6712328767123295E-3 8.21917808219178E-3 8.7945205479452049E-3 1.0054794520547946E-2 1.1479452054794521E-2 1.4027397260273973E-2 1.8356164383561645E-2 2.273972602739726E-2 2.8219178082191782E-2 3.4602739726027391E-2 4.2602739726027399E-2 5.1890410958904107E-2 6.1890410958904109E-2 7.3561643835616433E-2 8.6273972602739724E-2 0.10010958904109589 0.10443835616438356 0.11156164383561644 0.11750684931506848 0.12753424657534249 0.13487671232876713 0.14013698630136986 0.14383561643835616 0.14665753424657535 0.14882191780821918 0.1504109589041096 0.15156164383561643 0.15246575342465754 0.1531232876712329 0.15356164383561646 0.15391780821917808 0.15416438356164383 0.15479452054794518 54.649143056512465 161.21497201671178 248.6536 009071317 355.21942986733109 418.06594438232037 483.64491605013529 546.49143056512469 609.33794508011408 666.71954528945207751.42571702704652 784.21520286095381 825.20206015333815 847.0617173759432 866.18891744572272 893.51348 897397884 907.17577473810695 912.64068904375813 915.37314619658378 918.10560334940953 919.47183192582236 920.83806050223507 922.20428907864789 923.57051765506071 924.93674623147353 926.30297480788624 927.66920338429907 929.03543196071189 929.03543196071189 927.66920338429907 920.83806050223507 907.17577473810695 893.51348897397884 882.58366036267637 868.92137459854825 860.72400314007132 847.0617173759432 833.39943161181509 822.46960300051262 808.80731723638451 800.60994577790768 784.21520286095381 773.28537424965134 759.62308848552323 748.69325987422087 Liga de Alumínio 6061 0 2.1978021978021978E-4 4.1208791208791209E-4 5.7692307692307698E-4 8.2417582417582418E-4 1.0439560439560441E-3 1.2087912087912088E-3 1.3736263736263737E-3 1.593406593406593 5E-3 1.7857142857142859E-3 2.0054945054945057E-3 2.3076923076923079E-3 2.4175824175824176E-3 2.4725274725274724E-3 2.6923076923076926E-3 2.8571428571428571E-3 3.5439560439560441E-3 4.807692307692308E-3 9.6153846153846159E-3 1.4642857142857145E-2 1.9835164835164835E-2 2.4945054945054945E-2 2.994505494505495E-2 3.3241758241758242E-2 3.9615384615384615E-2 4.4780219780219781E-2 4.9862637362637366E-2 5.4890109890109895E-2 5.8434065934065929E-2 6.4560439560439567E-2 6.9697802197802194E-2 7.483516483516485E-2 7.9670329670329637E-2 8.3498774261114264 27.832924753704752 50.099264556668551 69.582311884261884 89.065359211855224 111.33169901481901 130.81474634241235 150.29779367000569 169.780840997599 189.26388832519231 208.74693565278565 239.36315288186088 247.71303030797233 256.06290773408375 264.4127851601952 267.19607763556564 272.76266258630659 278.32924753704754 28 6.67912496315898 292.24570991389993 295.02900238927037 297.81229486464088 300.59558734001138 303.37887981538182 304.77052605306704 306.16217229075227 304.77052605306704 303.37887981538182 300.59558734001138 297.81229486464088 292.24570991389993 283.89583248778848 258.8462002094542 Liga de Alumínio 2024 0 1.0382513661202186E-3 1.9945355191256829E-3 2.9781420765027321E-3 3.9617486338797813E-3 4.9180327868852455E-3 5.8196721311475404E-3 6.80327868852459E-3 7.7049180327868842E-3 8.7158469945355192E-3 1.4754098360655738E-2 2.0983606557377049E-2 2.7049180327868853E-2 3.2841530054644803E-2 3.8743169398907103E-2 4.4836065573770491E-2 5.1010928961748629E-2 5.7049180327868855E-2 6.2759562841530059E-2 6.8797814207650271E-2 7.4945355191256821E-2 8.1010928961748621E-2 8.6885245901639346E-2 9.2704918032786882E-2 9.8879781420765034E-2 0.10497267759562841 0.11095628415300546 0.11666666666666665 0.12275956284153006 0.12896174863387977 0.13499999999999998 0.1409289617486339 0.14672131147540984 0.1528142076502732 0.15898907103825136 0.16530054644808734 68.311428820640586 139.35531479410679 207.66674361474739 278.71062958821358 336.09222979755168 390.74137285406414 398.93874431254096 409.86857292384349 415.33348722949478 420.79840153514601 437.19314445209972 456.32034452187906 469.98263028600718 480.9124588973097 489.10983035578658 497.30720181426341 505.50457327274034 510.96948757839158 516.43440188404281 521.89931618969399 524.63177334251975 527.36423049534528 530.09668764817093 532.82914480099657 535.56160195382211 536.92783053023504 538.29405910664786 539.66028768306057 538.29405910664786 536.92783053023504 535.56160195382211 532.82914480099657 530.09668764817093 527.36423049534528 505.50457327274034 486.377373202961 0 1.366120218579235E-4 2.7322404371584699E-4 3.5519125683060104E-4 4.9180327868852448E-4 5.4644808743169399E-4 6.5573770491803279E-4 7.6502732240437158E-4 8.1967213114754087E-4 9.5628415300546459E-4 1.0655737704918032E-3 4.8360655737704917E-3 9.6448087431693988E-3 1.4754098360655738E-2 1.9918032786885243E-2 2.4945355191256832E-2 2.9945355191256833E-2 3.46448087431694E-2 3.9644808743169398E-2 4.4808743169398903E-2 4.9918032786885246E-2 5.4918032786885236E-2 5.9808743169398909E-2 6.4672131147540987E-2 6.9699453551912566E-2 7.4863387978142085E-2 7.9972677595628414E-2 8.4918032786885242E-2 8.9617486338797805E-2 9.4672131147540972E-2 9.9781420765027329E-2 0.10491803278688523 0.10991803278688524 0.11475409836065574 0.11964480874316938 0.12472677595628416 0.12983606557377048 0.13497267759562842 0.13989071038251366 0.14464480874316937 0.15027322404371585 35.521942986733102 65.578971667814969 101.10091465454806 131.15794333562994 166.67988632236302 185.80708639214239 207.66674361474739 224.06148653170112 237.72377229582924 251.38605805995735 254.11851521278297 248.6536009071317 256.85097236560858 303.30274396364416 338.82468695037727 363.41680132580791 374.34662993711044 382.54400139558732 388.00891570123855 390.74137285406414 393.47383000688973 396.20628715971537 396.20628715971537 398.93874431254096 401.67120146536666 398.93874431254096 400.30497288895384 398.93874431254096 398.93874431254096 396.20628715971537 390.74137285406414 388.00891570123855 385.2764585484129 382.54400139558732 374.34662993711044 368.8817156314592 360.68434417298226 349.7545155616798 336.09222979755168 316.96502972777228 295.10537250516734 Aço Carbono ASTM A36 0 1.366120218579235E-4 2.7322404371584699E-4 3.5519125683060104E-4 4.9180327868852448E-4 5.4644808743169399E-4 6.5573770491803279E-4 7.6502732240437158E-4 8.1967213114754087E-4 9.5628415300546459E-4 1.0655737704918032E-3 4.8360655737704917E-3 9.6448087431693988E-3 1.4754098360655738E-2 1.9918032786885243E-2 2.4945355191256832E-2 2.9945355191256833E-2 3.46448087431694E-2 3.9644808743169398E-2 4.4808743169398903E-2 4.9918032786885246E-2 5.4918032786885236E-2 5.9808743169398909E-2 6.4672131147540987E-2 6.9699453551912566E-2 7.4863387978142085E-2 7.9972677595628414E-2 8.4918032786885242E-2 8.9617486338797805E-2 9.4672131147540972E-2 9.9781420765027329E-2 0.10491803278688523 0.10991803278688524 0.11475409836065574 0.11964480874316938 0.12472677595628416 0.12983606557377048 0.13497267759562842 0.1 3989071038251366 0.14464480874316937 0.15027322404371585 35.52194298673310 2 65.578971667814969 101.10091465454806 131.15794333562994 166.67988632236302 185.80708639214239 207.66674361474739 224.06148653170112 237.72377229582924 251.38605805995735 254.11851521278297 248.6536009071317 256.85097236560858 303.30274396364416 338.82468695037727 363.41680132580791 374.34662993711044 382.54400139558732 388.00891570123855 390.74137285406414 393.47383000688973 396.20628715971537 396.20628715971537 398.93874431254096 401.67120146536666 398.93874431254096 400.30497288895384 398.93874431254096 398.93874431254096 396.20628715971537 390.74137285406414 388.00891570123855 385.2764585484129 382.54400139558732 374.34662993711044 368.8817156314592 360.68434417298226 349.7545155616798 336.09222979755168 316.96502972777228 295 .10537250516734
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