Thermal Expansion
ΔL = α·L·ΔT. If the part is fully constrained it can't grow, so the strain turns into stress: σ = E·α·ΔT. α values (µm/m·°C) come from the material reference.
Calculator
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New length
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Constrained stress
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Differential vs 2nd
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Area & volume growth
Area expands at ≈ 2α·ΔT, volume at ≈ 3α·ΔT (using the same α and ΔT as above).
Area growth ΔA
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Volume growth ΔV
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Linear (small-ΔT) model; α varies with temperature. A helper, not a substitute for engineering judgment.