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- Thread starter StoneME
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If it is not allowed to expand, the stress is maximum and is determined as follows:

ΔR = [itex]\alpha[/itex] Ro [itex]\Delta T[/itex]

The thermal strain is now:

[itex]\epsilon[/itex] = ΔR / Ro = [itex]\alpha[/itex] [itex]\Delta T[/itex]

And the stress is figured with Hooke's law:

σ = E [itex]\epsilon[/itex]

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Second, I appreciate the response but I think I'm looking for a little more depth. What I'm looking for is a description of stress as a function of radial position given the temperature as a function of radial position. Temperature gradients will cause the hot wall (inner or outer) to expand more than the cold wall, giving rise to hoop stress as well as radial stress.

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