Benchmark solution
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Calculation method used for the reference solution
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* The deformation due to pressure alone is given by:

:math:`{\varepsilon }_{\mathit{zz}}\mathrm{=}\frac{(1\mathrm{-}2\nu )(2{R}_{e}\mathrm{-}h)}{\mathrm{4Eh}}p\mathrm{=}3.714\mathrm{\times }{10}^{\mathrm{-}3}`, :math:`{R}_{e}\mathrm{=}` outer radius


* The axial displacement due to pressure is given by:

:math:`{U}_{z}\mathrm{=}Z{\varepsilon }_{\mathit{zz}}`


* The deformations due to thermal loading are equal to:

:math:`{\varepsilon }_{\mathit{rr}}\mathrm{=}{\varepsilon }_{\theta \theta }\mathrm{=}{\varepsilon }_{\mathit{zz}}\mathrm{=}\alpha \Delta T\mathrm{=}1.2\mathrm{\times }{10}^{\mathrm{-}3}`


* The radial displacement due to thermal loading is equal to:

:math:`{U}_{r}\mathrm{=}r{\varepsilon }_{\mathit{rr}}\mathrm{=}1.2\mathrm{\times }{10}^{\mathrm{-}3}r`


Benchmark results
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* Radial and axial deformation and displacement at points :math:`A,B,C,D` due to thermal loading.


* Deformation and axial displacement at points :math:`A,B,C,D` due to pressure.


Uncertainty about the solution
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Analytical solution.