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Equivalent carbon content

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tend to increase hardness and decrease weldability. Each of these elements tends to influence the hardness and weldability of the steel to different magnitudes, however, making a method of comparison necessary to judge the difference in hardness between two alloys made of different alloying elements.
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For cast iron the equivalent carbon content (CE) concept is used to understand how alloying elements will affect the heat treatment and casting behavior. It is used as a predictor of strength in cast irons because it gives an approximate balance of austenite and graphite in final structure. A number
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edges and welds. However, structural engineering standards rarely use CE, but rather limit the maximum percentage of certain alloying elements. This practice started before the CE concept existed, so just continues to be used. This has led to issues because certain high strength steels are now being
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in 1967. This formula has been found suitable for predicting hardenability in a large range of commonly used plain carbon and carbon-manganese steels, but not to microalloyed high-strength low-alloy steels or low-alloy Cr-Mo steels. The formula is defined as follows:
36:, which is typical. The idea is to convert the percentage of alloying elements other than carbon to the equivalent carbon percentage, because the iron-carbon phases are better understood than other iron-alloy phases. Most commonly this concept is used in 1759:{\displaystyle CE=\%{\text{C}}+0.28\left(\%{\text{Si}}\right)+0.303\left(\%{\text{P}}\right)-0.007\left(\%{\text{Mn}}\right)+0.033\left(\%{\text{Cr}}\right)+0.092\left(\%{\text{Cu}}\right)+0.011\left(\%{\text{Mo}}\right)+0.054\left(\%{\text{Ni}}\right)} 1081: 933: 119: 899:{\displaystyle CE=\%{\text{C}}+{\frac {\%{\text{Mn}}}{6}}+{\frac {\%{\text{Cr}}+\%{\text{Mo}}+\%{\text{Zr}}}{10}}+{\frac {\%{\text{Ti}}}{2}}+{\frac {\%{\text{Cb}}}{3}}+{\frac {\%{\text{V}}}{7}}+{\frac {UTS}{900}}+{\frac {h}{20}}} 268: 1436: 1430: 701:
on cooling and to suffer brittle fracture. When the carbon equivalent is between 0.40 and 0.60 weld preheat may be necessary. When the carbon equivalent is above 0.60, preheat is necessary, postheat may be necessary.
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as the CE increases. When heat treating cast iron, various CE samples are tested to empirically determine the correlation between CE and hardness. The following is an example for induction hardened gray irons:
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In welding, equivalent carbon content (C.E) is used to understand how the different alloying elements affect hardness of the steel being welded. This is then directly related to hydrogen-induced
1288: 1202:{\displaystyle \%{\text{C}}*={\begin{cases}5\%{\text{C}}&{\mbox{ for }}\%{\text{C}}\leq 0.30\%\\{\frac {1}{6}}\%{\text{C}}&{\mbox{ for }}\%{\text{C}}\geq 0.30\%\end{cases}}} 1063:{\displaystyle CE*=\%{\text{C}}*+{\frac {\%{\text{Mn}}}{3.6}}+{\frac {\%{\text{Cu}}}{20}}+{\frac {\%{\text{Ni}}}{9}}+{\frac {\%{\text{Cr}}}{5}}+{\frac {\%{\text{Mo}}}{4}}} 247:{\displaystyle CE=\%{\text{C}}+{\frac {\%{\text{Mn}}+\%{\text{Si}}}{6}}+{\frac {\%{\text{Cr}}+\%{\text{Mo}}+\%{\text{V}}}{5}}+{\frac {\%{\text{Cu}}+\%{\text{Ni}}}{15}}} 450:
The Japanese Welding Engineering Society adopted the critical metal parameter (Pcm) for weld cracking, which was based on the work from Ito and Bessyo, is:
385:{\displaystyle CE=\%{\text{C}}+{\frac {\%{\text{Mn}}}{6}}+{\frac {\%{\text{Cr}}+\%{\text{Mo}}+\%{\text{V}}}{5}}+{\frac {\%{\text{Cu}}+\%{\text{Ni}}}{15}}} 1556:{\displaystyle CE=\%{\text{C}}+0.33\left(\%{\text{Si}}\right)+0.33\left(\%{\text{P}}\right)-0.027\left(\%{\text{Mn}}\right)+0.4\left(\%{\text{S}}\right)} 2168: 1366: 630: 2289: 2268: 2237: 2211: 2067: 2022: 2057: 258: 98: 2352: 2337: 2318: 1307: 710: 927:
for the formation of martensitic in the Heat Affected Zone (HAZ) in low-carbon alloy steels. The equation is given as:
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SA-6/SA-6M - Specification For General Requirements For Rolled Structural Steel Bars, Plates, Shapes, And Sheet Piling
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of formulas are available to determine the CE in cast irons, where an increasing number of elements are included:
2383: 910: 2206:, ASM Handbook, vol. 1A Cast Iron Science and Technology (2017th ed.), ASM International, p. 42, 94: 1781:; for cast irons the eutectic is 4.3% carbon. When casting cast iron this is useful for determining the final 920:
A special carbon equivalent was developed by Yurioka, which could determine the critical time in seconds
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The AWS states that for an equivalent carbon content above 0.40% there is a potential for cracking in the
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There are two commonly used formulas for calculating the equivalent carbon content. One is from the
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structure; for example, a hypereutectic cast iron usually has a coarse grain structure and large
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For this equation the weldability based on a range of CE values can be defined as follows:
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The other and most popular formula is the Dearden and O'Neill formula, which was adopted by
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and h is the strip thickness in inches. A CE value of 0.3 or less is considered safe.
97:(AWS) and recommended for structural steels and the other is the formula based on the 2362: 2329: 2201: 1778: 109: 57: 41: 1968:
Each sample also contained 0.5–0.9 Mn, 0.35–0.55 Ni, 0.08–0.15 Cr, and 0.15–0.30 Mo.
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If some of the values are not available, the following formula is sometimes used:
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The carbon equivalent is a measure of the tendency of the weld to form
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Bruneau, Michel; Uang, Chia-Ming; Whittaker, Andrew Stuart (1998),
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The following carbon equivalent formula is used to determine if a
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used that have a CE higher than 0.50% that have brittle failures.
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Yurioka, N (1990). "Weldability of Modern High Strength Steels".
1355:{\displaystyle CE=\%{\text{C}}+0.33\left(\%{\text{Si}}\right)} 1195: 2136:
First US-Japan Symposium on Advances in Welding Matallurgy
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1.1 Carbon equivalents and transformation temperature
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The Japan Welding Engineering Society 1982: 1806:Hardness (convert from hardness test) 1789:flakes are formed. Also, there is less 2187: 2151: 2307:The Procedure Handbook of Arc Welding 2162: 2160: 2059:Metallurgy of welding - Sixth Edition 7: 2062:. Abington Publishing. p. 464. 2138:(American Welding Society): 79–100. 2097:. ASME BPVC Section II: ASME. 2001. 2260:Ductile design of steel structures 2232:(4th ed.), SME, p. 4-4, 2041:Bruneau, Uang & Whittaker 1998 1990:Bruneau, Uang & Whittaker 1998 1743: 1719: 1695: 1671: 1647: 1623: 1599: 1580: 1540: 1516: 1492: 1468: 1449: 1409: 1398: 1379: 1339: 1320: 1246: 1189: 1175: 1158: 1141: 1127: 1110: 1085: 1046: 1026: 1006: 986: 966: 949: 848: 828: 808: 788: 777: 766: 746: 732: 657: 643: 588: 568: 548: 528: 517: 506: 486: 472: 368: 357: 337: 326: 315: 295: 281: 230: 219: 199: 188: 177: 157: 146: 132: 99:International Institute of Welding 14: 2345:Structural Welding Code, AWS D1.1 2343:American Welding Society (2004). 713:due to excessive hardenability: 2017:, CRC Press, pp. 141–142, 1221:can be determined as follows: 1: 2281:Handbook of induction heating 2226:Gillespie, LaRoux K. (1988), 1970:Using the first CE equation. 711:high-strength low-alloy steel 2263:, McGraw-Hill Professional, 40:, but it is also used when 2400: 2326:Welding processes handbook 2305:Lincoln Electric (1994). 2200:Stefanescu, Doro (2017), 2167:Bex, Tom (June 1, 1991), 2109:"Carbon equivalents(wt%)" 2014:Flat rolling fundamentals 1967: 1805: 1802: 1799: 911:ultimate tensile strength 18:equivalent carbon content 2056:Lancaster, J.F. (1999). 95:American Welding Society 2278:Rudnev, Valery (2003), 1760: 1557: 1426: 1356: 1284: 1203: 1064: 900: 688: 615: 401:Carbon equivalent (CE) 386: 248: 1761: 1558: 1427: 1357: 1285: 1204: 1065: 901: 689: 616: 387: 249: 2324:Weman, Klas (2003). 2313:: Lincoln Electric. 1568: 1437: 1367: 1308: 1230: 1082: 934: 720: 631: 457: 269: 120: 1756: 1553: 1422: 1352: 1280: 1199: 1194: 1173: 1125: 1060: 896: 684: 611: 382: 244: 106:heat-affected zone 2332:: CRC Press LLC. 2291:978-0-8247-0848-1 2270:978-0-07-008580-0 2239:978-0-87263-326-1 2213:978-1-62708-133-7 2069:978-1-85573-428-9 2024:978-0-8247-8894-0 1974: 1973: 1803:Carbon equivalent 1749: 1725: 1701: 1677: 1653: 1629: 1605: 1586: 1546: 1522: 1498: 1474: 1455: 1415: 1404: 1385: 1345: 1326: 1181: 1172: 1164: 1156: 1133: 1124: 1116: 1091: 1058: 1052: 1038: 1032: 1018: 1012: 998: 992: 978: 972: 955: 909:Where UTS is the 894: 881: 860: 854: 840: 834: 820: 814: 800: 794: 783: 772: 758: 752: 738: 682: 669: 663: 649: 600: 594: 580: 574: 560: 554: 540: 534: 523: 512: 498: 492: 478: 448: 447: 380: 374: 363: 349: 343: 332: 321: 307: 301: 287: 242: 236: 225: 211: 205: 194: 183: 169: 163: 152: 138: 2391: 2384:Equivalent units 2295: 2274: 2244: 2243: 2223: 2217: 2216: 2197: 2191: 2185: 2179: 2178: 2164: 2155: 2149: 2140: 2139: 2131: 2125: 2124: 2122: 2120: 2105: 2099: 2098: 2091: 2085: 2084: 2082: 2081: 2072:. 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Retrieved 2074:the original 2058: 2013: 1985: 1800:Composition 1771:hypoeutectic 1768: 1299: 1215: 1213: 1072: 921: 919: 908: 704: 696: 623: 449: 404:Weldability 394: 256: 103: 55: 17: 15: 2188:Rudnev 2003 2152:Rudnev 2003 2119:14 November 62:weldability 48:cast iron. 2374:Metallurgy 2363:Categories 2080:2011-11-14 1977:References 699:martensite 420:Very good 412:Excellent 409:Up to 0.35 78:molybdenum 2311:Cleveland 1791:shrinkage 1744:% 1720:% 1696:% 1672:% 1648:% 1637:− 1624:% 1600:% 1581:% 1541:% 1517:% 1506:− 1493:% 1469:% 1450:% 1410:% 1399:% 1380:% 1340:% 1321:% 1296:Cast iron 1278:∗ 1258:− 1247:Δ 1244:⁡ 1190:% 1184:≥ 1176:% 1159:% 1142:% 1136:≤ 1128:% 1111:% 1094:∗ 1086:% 1047:% 1027:% 1007:% 987:% 967:% 958:∗ 950:% 944:∗ 849:% 829:% 809:% 789:% 778:% 767:% 747:% 733:% 707:spot weld 658:% 644:% 589:% 569:% 549:% 529:% 518:% 507:% 487:% 473:% 441:Over 0.50 433:0.46–0.50 425:0.41–0.45 417:0.36–0.40 369:% 358:% 338:% 327:% 316:% 296:% 282:% 231:% 220:% 200:% 189:% 178:% 158:% 147:% 133:% 110:flame cut 108:(HAZ) on 66:manganese 26:cast iron 1775:eutectic 1073:where: 101:(IIW). 82:vanadium 70:chromium 34:alloyant 2379:Welding 1820:HR 30 N 74:silicon 46:casting 38:welding 2351:  2336:  2317:  2288:  2267:  2236:  2210:  2066:  2021:  90:nickel 88:, and 86:copper 30:carbon 2369:Steel 1783:grain 1777:, or 1736:0.054 1712:0.011 1688:0.092 1664:0.033 1640:0.007 1616:0.303 1509:0.027 444:Poor 436:Fair 428:Good 52:Steel 22:steel 2349:ISBN 2334:ISBN 2315:ISBN 2286:ISBN 2265:ISBN 2234:ISBN 2208:ISBN 2121:2011 2064:ISBN 2019:ISBN 1954:4.23 1951:2.14 1948:3.52 1934:4.13 1931:2.00 1928:3.46 1914:4.02 1911:1.80 1908:3.42 1894:3.87 1891:1.59 1888:3.34 1874:3.74 1871:1.64 1868:3.19 1854:3.70 1851:1.68 1848:3.14 1834:3.63 1831:1.50 1828:3.13 1592:0.28 1485:0.33 1461:0.33 1391:0.33 1332:0.33 1269:2.69 1187:0.30 1139:0.30 44:and 24:and 16:The 1963:61 1943:59 1923:61 1903:58 1883:61 1863:57 1843:61 1817:HRC 1533:0.4 1235:log 1218:8-5 976:3.6 924:8-5 915:ksi 913:in 879:900 259:IIW 2365:: 2347:. 2328:. 2309:. 2171:, 2159:^ 2144:^ 2111:. 2048:^ 2033:^ 1997:^ 1960:38 1957:36 1940:45 1937:43 1920:47 1917:46 1900:49 1897:47 1880:50 1877:48 1860:50 1857:49 1840:50 1837:50 1814:Si 1773:, 1748:Ni 1724:Mo 1700:Cu 1676:Cr 1652:Mn 1604:Si 1521:Mn 1473:Si 1403:Si 1344:Si 1239:10 1216:Δt 1051:Mo 1031:Cr 1011:Ni 996:20 991:Cu 971:Mn 922:Δt 892:20 833:Cb 813:Ti 798:10 793:Zr 782:Mo 771:Cr 751:Mn 680:20 662:Mn 598:10 578:15 573:Mo 558:60 553:Ni 538:20 533:Cr 522:Cu 511:Mn 496:30 491:Si 378:15 373:Ni 362:Cu 331:Mo 320:Cr 300:Mn 240:15 235:Ni 224:Cu 193:Mo 182:Cr 162:Si 151:Mn 84:, 80:, 76:, 72:, 68:, 2355:. 2340:. 2294:. 2273:. 2242:. 2177:. 2123:. 2083:. 2027:. 1811:C 1753:) 1740:( 1733:+ 1729:) 1716:( 1709:+ 1705:) 1692:( 1685:+ 1681:) 1668:( 1661:+ 1657:) 1644:( 1633:) 1628:P 1620:( 1613:+ 1609:) 1596:( 1589:+ 1585:C 1578:= 1575:E 1572:C 1550:) 1545:S 1537:( 1530:+ 1526:) 1513:( 1502:) 1497:P 1489:( 1482:+ 1478:) 1465:( 1458:+ 1454:C 1447:= 1444:E 1441:C 1419:) 1414:P 1407:+ 1395:( 1388:+ 1384:C 1377:= 1374:E 1371:C 1349:) 1336:( 1329:+ 1325:C 1318:= 1315:E 1312:C 1275:E 1272:C 1266:= 1261:5 1255:8 1251:t 1180:C 1163:C 1154:6 1151:1 1132:C 1115:C 1108:5 1102:{ 1097:= 1090:C 1056:4 1041:+ 1036:5 1021:+ 1016:9 1001:+ 981:+ 961:+ 954:C 947:= 941:E 938:C 889:h 884:+ 875:S 872:T 869:U 863:+ 858:7 853:V 843:+ 838:3 823:+ 818:2 803:+ 786:+ 775:+ 761:+ 756:6 741:+ 737:C 730:= 727:E 724:C 677:1 672:+ 667:6 652:+ 648:C 641:= 638:E 635:C 609:B 606:5 603:+ 593:V 583:+ 563:+ 543:+ 526:+ 515:+ 501:+ 481:+ 477:C 470:= 467:m 464:c 461:P 366:+ 352:+ 347:5 342:V 335:+ 324:+ 310:+ 305:6 290:+ 286:C 279:= 276:E 273:C 228:+ 214:+ 209:5 204:V 197:+ 186:+ 172:+ 167:6 155:+ 141:+ 137:C 130:= 127:E 124:C

Index

steel
cast iron
carbon
alloyant
welding
heat treating
casting
cold cracking
weldability
manganese
chromium
silicon
molybdenum
vanadium
copper
nickel
American Welding Society
International Institute of Welding
heat-affected zone
flame cut
IIW
martensite
spot weld
high-strength low-alloy steel
ultimate tensile strength
ksi
hypoeutectic
eutectic
hypereutectic
grain

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