Engineering
Physics
Calculus
Thermal Expansion
Stress Strain and Hookes Law New
Question

The steel wire of cross-sectional area = 2 mm2 [Y = 200 GPa, α = 10–5/°C] is stretched and tied firmly between two rigid supports, at a temperature = 20°C. At this moment, the tension in the wire is 200 N. At what temperature will the tension become zero?

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Solution
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200 = Aα ΔT = 2 × 10–6 × 10–5 × 4T × 200 × 109
ΔT = 50°C