Question: Consider the axisymmetric plane strain problem of a solid circular bar of radius a with a constant internal heat generation specified by h o .

Consider the axisymmetric plane strain problem of a solid circular bar of radius a with a constant internal heat generation specified by h_o. The steady-state conduction equation thus becomes:

1 + 2 r r -+ho = 0

Using boundary condition T (a) = T_o, determine the temperature distribution, and then calculate the resulting thermal stresses for the case with zero boundary stress. Such solutions are useful to determine the thermal stresses in rods made of radioactive materials.

1 + 2 r r -+ho = 0

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