Concept explainers
a)
The total percent of cold work has to be determined.
a)
Answer to Problem 61AAP
The total percent of cold work is 39 %.
Explanation of Solution
Write the expression for the initial cross sectional area of the wire.
Here, initial diameter of the wire is
Write the expression for the final cross sectional area of the wire.
Here, final diameter of the wire is
Write the expression for the percentage of cold reduction:
Here, initial thickness of the sheet is
Conclusion:
Substitute equation (I) and (II) in equation (III)
Substitute 20% for
Substitute 3.13 mm for
Thus, the total percent of cold work that wire undergoes is 39%.
b)
Tensile strength, yield strength, and elongation have to be estimated.
b)
Answer to Problem 61AAP
Ultimate tensile strength
Yield strength
Elongation
Explanation of Solution
Refer the figure 6.44, to obtain a tensile strength, yield strength, and elongation for 40 percent of cold work as given as follows:
Ultimate tensile strength
Yield strength
Elongation
Thus, the Ultimate tensile strength, Yield strength, and Elongation of the alloys is 38 ksi, 33 ksi, 8% respectively.
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