A thick-wall tube shown is to be analyzed for the static and thermal loadings. Calculate the temperature distribution, displacement and stresses under plane strain conditions providing the top and bottom faces of the tube are insulated. $T_1$ and $T_2$ represent the wall temperatures (as if the surface coefficients were very high).

$E=2\times10^5\text{ MPa},$ $\nu=0.3,$ $\alpha=10^{-5}\text{ 1/K},$ $\lambda=20\text{ W/mK}.$

$T_1=100\text{ $^\circ$C},$ $T_2=0\text{ $^\circ$C}.$

The internal pressure $p=287.47075\text{ MPa}.$

• Axisymmetric solution, TUBE7TS1