Solving for Work in a Stressed Aluminum Wire: Figure 12-56 Example

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Homework Help Overview

The problem involves calculating the work done on an aluminum wire that is being stretched, based on a stress versus strain plot. The original poster provides specific values for stress, initial length, cross-sectional area, and strain, but expresses confusion regarding their calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to use a formula involving stress, strain, and volume to calculate work but questions their result. Other participants inquire about the elasticity modulus and the slope of the stress-strain curve, indicating a need for clarification on these concepts.

Discussion Status

The discussion is ongoing, with participants seeking further clarification on key concepts and values necessary for solving the problem. There is no explicit consensus on the approach, and multiple interpretations of the problem are being explored.

Contextual Notes

Some participants note the absence of the figure referenced in the problem, which may be critical for understanding the stress-strain relationship. Additionally, there is uncertainty regarding the definition and value of the elasticity modulus in this context.

slydg895
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hey guys i have tried this problem many times and can't figure out the answer. please help

Heres the problem:
Figure 12-56 shows the stress versus strain plot for an aluminum wire that is stretched by a machine pulling in opposite directions at the two ends of the wire. The scale of the stress axis is set by s = 5.50, in units of 10^7 N/m2. The wire has an initial length of 0.950 m and an initial cross-sectional area of 2.50 × 10^-6 m2. How much work does the force from the machine do on the wire to produce a strain of 1.90 × 10^-3?

This is my work:
W=.5(stress)(strain)(volume)
volume=(area)(lenght)
And i get .124094.

What am i doing wrong?
 
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Does anyone have any ideas?
 
slydg895 said:
Does anyone have any ideas?
It is unclear what is the Elasticity modulus or the slope of the stress - strain curve or the value of the strain at the given stress? You didn't attach a figure.
 
I have a similar problem, my elasticity modulus (stress/strain) = 7E10.
 

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