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Question:

How much stress is required?

A copper bar has the desired length when at 35°C. How much stress is required to keep it at this length if the temperature increases to 65°C?

Answer:

Thermal stress -Y*alpha*deltaT where Y is Young's modulus 11x10^10; alpha is the coefficient of linear expansion 1.7x10^-5 delta T 30 So Stress -11x10^10*1.7x10^-5*30 -5.61x10^7 Pa (The negative sign means compression)
Stress dT*C*E (65 - 35)*C*E where C is the thermal expansion coefficient and E is Young's modulus for copper.

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