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02-03ChapGere.0009 - 114 A-PDF Axially Loaded Purchase...

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114 CHAPTER 2 Axially Loaded Members Misfits and Prestrains Problem 2.5-12 A steel wire AB is stretched between rigid supports (see figure). The initial prestress in the wire is 42 MPa when the temperature is 20°C. (a) What is the stress in the wire when the temperature drops to 0°C? (b) At what temperature T will the stress in the wire become zero? (Assume 14 10 6 /°C and E 200 GPa.) Solution 2.5-12 Steel wire with initial prestress A B Steel wire Initial prestress: 1 42 MPa Initial temperature: T 1 20 C E 200 GPa 14 10 6 / C (a) S TRESS WHEN TEMPERATURE DROPS TO 0 C T 2 0 C T 20 C Note: Positive T means a decrease in temperature and an increase in the stress in the wire. Negative T means an increase in temperature and a decrease in the stress. Stress equals the initial stress 1 plus the additional stress
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