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THE STRENGTH OF COLD-WORKED AND HEAT-TREATED STEELS 33.12
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FIGURE 33.4 Critical hardness B for alloy-free steel as affected by carbon content and tempering temperature. (From [33.4] with permission of Pitman Publishing Ltd., London.)
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available. However, for heat-treated low-alloy steels, the Jominy test may be replaced by an estimate based on the multiplication method of Grossmann and Fields coupled with knowledge of grain size and ladle analysis. Again, although the method was devised over 30 years ago, it is still the best approach available, in either graphic or tabular form. The multiplying factors for sulfur and phosphorus in this method are close to unity in the trace amounts of these two elements. The basic equation is Ideal critical diameter DI = carbon ideal diameter D Mn multiplying factor Cr multiplying factor
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THE STRENGTH OF COLD-WORKED AND HEAT-TREATED STEELS 33.13
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FIGURE 33.5 Factor f for disproportionate softening in hardened steel as affected by carbon content and tempering temperature. (From [33.4] with permission of Pitman Publishing Ltd., London.)
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The multiplying factors for the elements Mn, Si, Cr, Ni, Mo, and Cu are presented in Fig. 33.13. The carbon ideal diameter D is available from Fig. 33.14 as a function of percent carbon and grain size of the steel. Example 3. Determine the surface properties of an 8640 steel with average grain size 8 that was oil-quenched (H = 0.35) and tempered 2 hours at 1000 F. The ladle analysis and the multiplying factors are shown in Table 33.11.The multiplying factors are determined from Figs. 33.13 and 33.14. If boron were present, the multiplying factor would be B = 17.23(percent boron) 0.268
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THE STRENGTH OF COLD-WORKED AND HEAT-TREATED STEELS 33.14
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FIGURE 33.6 Effect of manganese on resistance to softening at various temperatures. (From [33.4] with permission of Pitman Publishing Ltd., London.)
FIGURE 33.7 Effect of silicon on resistance to softening at various tempering temperatures. (From [33.4] with permission of Pitman Publishing Ltd., London.)
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THE STRENGTH OF COLD-WORKED AND HEAT-TREATED STEELS
TABLE 33.5 Softening of 1040 Round Due to Tempering at 1000 F for 2 Hours
FIGURE 33.8 Location on end-quenched Jominy hardenability specimen corresponding to the surface of round bars. (From [33.4] with permission of Pitman Publishing Ltd., London.)
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THE STRENGTH OF COLD-WORKED AND HEAT-TREATED STEELS 33.16
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FIGURE 33.9 Location on end-quenched Jominy hardenability specimen corresponding to 80 percent from center of round. (From [33.4] with permission of Pitman Publishing Ltd., London.)
where percent boron is less than about 0.002. The calculation for ideal critical diameter DI is DI = 0.197(3.98)(1.18)(2.08)(1.20)(1.60)(1.00) = 3.70 in The meaning of DI is that it describes the largest diameter of a round that has at least 50 percent martensite structure everywhere in the cross section and exactly 50 percent at the center. The surface hardness of quenched steels is independent of alloy content and a function of carbon content alone. The Rockwell C-scale hardness is approximated by 32 + 60(%C), although it is not a strictly linear relationship ([33.4], p. 88. For the 8640 steel, the hardness at Jominy distance 1 is estimated to be 32 + 60(0.40) or 56 Rockwell C scale. The ratio of initial hardness (distance 1), denoted IH, to distant hardness (at any other Jominy distance), denoted DH, is available as a function of the ideal critical
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