Interpretation:
The cold working process required to produce 0.2 in. diameter of copper wire from the original rod of 2 in. diameter needs to be explained. The process needs to be explained with the hot working.
Concept introduction:
Cold working is a metal forming process performed below recrystallization temperature and hot working is done above the recrystallization temperature.
Answer to Problem 8.82P
73.33 % cold working is required to reduce the diameter of the copper rod from 2 inches to 0.26 in. at
Explanation of Solution
Given Information:
Calculation:
The figure shows the properties of copper versus the percentage of cold work.
From the figure, one can obtain the % of cold work for copper corresponding to 60000 psi yield strength and 5 % elongation as follows:
The % cold work is given to calculate the final diameter of the wire as follows:
Here,
To calculate the temperature,
Here,
Hence, annealing is done for 0.263 inches at
To calculate the percentage cold work for cold working to produce 1 in diameter wire from 2-inch diameter rod.
Hence, 75 % cold work is required to reduce from 2 into 1 in diameter at
Now, to calculate % of cold work to reduce diameter from 1 into 0.5 in.
Hence 75% cold work is needed toreduce diameter from 1 into 0.5 in at
To calculate % of the cold world to reduce diameter from 0.5 into 0.263 in.
Hence, 72.33 % cold work needed to reduce diameter from 0.5 into 0.263 in at
If cold working is replaced by hot working, then % hot work required to produces a diameter of 0.2 in from 2 in diameter rod is,
Thus, cold working and hot working formulas are same only hot working does not require, further annealing.
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Chapter 8 Solutions
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