
(a)
Interpretation:
The original diameter of 3105 aluminum wire needs to be determined.
Concept Introduction:
Cold working is the

Answer to Problem 8.54P
The original diameter of the 3105 aluminum wire is 0.04792 inch
Explanation of Solution
Given Information:
Final diameter of 3105 aluminum wire = 1mm
Yield strength = 20,000psi
% cold work is given by
Here,
From the graph at yield strength = 20,000 Psi
% cw = 32.5 %
Equation (1) becomes,
(b)
Interpretation:
The drama force required for 3105 aluminum wire needs to be determined.
Concept Introduction:
Cold working is the mechanical process in which metal is plastically deformed under recrystallization temperature.

Answer to Problem 8.54P
Drag force required when stress acting of 3105 aluminum wire is 14.431b
Explanation of Solution
Given Information:
Since,
Here,
Equation (1) becomes,
Drag force = 14.43lb
(c)
Interpretation:
The actual stress needs to be determined. Whether the 3105 aluminum wire will break or not needs to be determined.
Concept Introduction:
Stress is defined as the force acting on the material per unit area of the material stress used to determine the load carrying capacity of the material.

Answer to Problem 8.54P
Actual stress = 10853 Psi which is less than yield strength 20,000 Psi of drawn wire. Hence wire will not break.
Explanation of Solution
Given Information:
Drag force = 14.43lb
Final diameter = 1mm
Stress acting on the wire has a final diameter of 1 mm subjected to drag force is given by,
Thus, the wire will not break.
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Chapter 8 Solutions
Essentials of Materials Science and Engineering, SI Edition
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