Solid mechanics thermal stress of infinite cylinder

  • Thread starter Taexzyn
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Homework Statement



My problem is to calculate the Thermal stress of a Cylindric shell with inner radius a and outer radius b the inner surface is experiencing Temperature T1 and the outer surface is experiencing T2 with T1>T2 assuming that the linear thermal expansion coefficient is a, the Young modulus E and that the heat gradient within the shell is linear how to obtain the thermal stress (S) induced by these conditions?



Homework Equations


Thermal stress as given by most sources I could find, no equation given in the problem
S=Ea (T1-T2)


The Attempt at a Solution


I attempted to solve the problem with the equation above however I am hesitant to if it is right or not
 

Answers and Replies

  • #2
nvn
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Taexzyn: The final answer is listed in some text books, usually without showing the derivation. Most people just copy the final answer out of a text book, without knowing how it was derived. I would say, almost no one knows how to derive it. Do you just need to copy the final answer out of a text book? Or do you need to also copy a derivation out of a text book? Or instead, do you need to be able to derive it yourself, from only fundamental principles already in your own mind?

I briefly tried to derive it myself, and currently got stuck.
 

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