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Anyone know how to calculate thermal stress and expansion?
A 3m long steel bar is heated from 200C to 3500C. The modulus of elasticity of the bar is 205 GPa. The coefficient of linear expansion for steel is 15x10-6 per oC.
i) Calculate the expansion due to the increase in temperature.
ii) Calculate the thermal stress induced in the bar if the bar is fixed at both ends.
Any answer is greatly appreciated. thank you.
1 Answer
- Paul Jean PierreLv 54 years ago
i. ∆L = αL∆T
∆L = 15x10^(-6) (3000) (3500–200)
∆L = 148.5 mm
ii. Thermal σ = Eα∆T
σ = (205,000)(15x10^(-6))(3500–200)
σ = 10,147.50 MPa
σ ≈ 10.15 GPa
