(a)
The true strain for the 1112 steel specimen during necking.
The true strain for the annealed 1112 steel specimen during necking.
The elongation of the 1112 steel specimen during necking.
The elongation of the annealed 1112 steel specimen during necking.
(a)
Answer to Problem 2.96P
The true strain for the 1112 steel specimen during necking is
The true strain for the annealed 1112 steel specimen during necking is
The elongation of the 1112 steel specimen during necking is
The elongation of the annealed 1112 steel specimen during necking is
Explanation of Solution
Given:
The diameter of specimen is
The length of the specimen is
Formula used:
The expression for the true strain for 1112 steel specimen during necking is given as,
Here,
The expression for the true strain for 1112 annealed steel specimen during necking is given as,
Here,
The expression for the true strain for the 1112 steel specimen is given as,
Here,
The expression for the true strain for the 1112 annealed steel specimen is given as,
Here,
The expression for the elongation of the 1112 steel specimen at that instant is given as,
The expression for the elongation of the 1112 annealed steel specimen at that instant is given as,
Calculation:
The properties of 1112 steel specimen is given as,
The constant is
The exponent is
The properties of 1112 annealed steel specimen is given as,
The constant is
The exponent is
The true strain when necking occurs can be calculated as,
The true strain for 1112 annealed steel specimen during necking can be calculated as,
The length of the cold rolled 1112 steel after necking can be calculated as,
The elongation of the 1112 steel specimen at that instant can be calculated as,
The length of the 1112 annealed steel after necking can be calculated as,
The elongation of the 1112 annealed steel specimen at that instant can be calculated as,
Conclusion:
Therefore, the true strain for the 1112 steel specimen during necking is
Therefore, the true strain for the annealed 1112 steel specimen during necking is
Therefore, the elongation of the 1112 steel specimen during necking is
Therefore, the elongation of the annealed 1112 steel specimen during necking is
(b)
The ultimate strength for 1112 steel specimen.
The ultimate strength for 1112 annealed steel specimen.
(b)
Answer to Problem 2.96P
The ultimate strength for 1112 steel specimen is
The ultimate strength for 1112 annealed steel specimen is
Explanation of Solution
Formula used:
The expression for the ultimate strength for 1112 steel specimen is given as,
The expression for the ultimate tensile strength for 1112 steel specimen is given as,
The expression for the ultimate strength for 1112 annealed steel specimen is given as,
The expression for the ultimate tensile strength for 1112 annealed steel specimen is given as,
Calculation:
The ultimate strength for 1112 steel specimen can be calculated as,
The ultimate tensile strength for 1112 steel specimen can be calculated as,
The ultimate strength for 1112 annealed steel specimen can be calculated as,
The ultimate tensile strength for 1112 annealed steel specimen can be calculated as,
Conclusion:
Therefore, the ultimate strength for 1112 steel specimen is
Therefore, the ultimate strength for 1112 annealed steel specimen is
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Chapter 2 Solutions
Manufacturing Processes for Engineering Materials (6th Edition)
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