ch01-03 stress & strain & properties
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<strong>03</strong> Solutions 46060 5/7/10 8:45 AM Page 14<br />
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3–17. A tension test was performed on an aluminum<br />
2014-T6 alloy specimen. The resulting <strong>stress</strong>–<strong>strain</strong> diagram<br />
is shown in the figure. Estimate (a) the proportional limit,<br />
(b) the modulus of elasticity, and (c) the yield strength<br />
based on a 0.2% <strong>strain</strong> offset method.<br />
s (ksi)<br />
70<br />
60<br />
50<br />
40<br />
30<br />
20<br />
10<br />
0<br />
0.02 0.04 0.06 0.08 0.10<br />
0.002 0.004 0.006 0.008 0.010<br />
P (in./in.)<br />
Proportional Limit and Yield Strength: From the <strong>stress</strong>–<strong>strain</strong> diagram, Fig. a,<br />
s pl = 44 ksi<br />
s Y = 60 ksi<br />
Ans.<br />
Ans.<br />
Modulus of Elasticity: From the <strong>stress</strong>–<strong>strain</strong> diagram, the corresponding <strong>strain</strong> for<br />
s PL = 44 ksi is e pl = 0.004 in.>in. Thus,<br />
E = 44 - 0<br />
0.004 - 0 = 11.0(1<strong>03</strong> ) ksi<br />
Ans.<br />
Modulus of Resilience: The modulus of resilience is equal to the area under the<br />
14
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