Reference problem
=====================


Geometry
---------

Z

A

Y

C

B

X


.. csv-table::

    "Square plate:", "Frames:"
    "Length: :math:`l\mathrm{=}1.0m` ", "Section: :math:`{S}_{a}\mathrm{=}0.01{m}^{2}`"
    "Thickness: :math:`\mathit{ep}\mathrm{=}0.2m` ", "Eccentricity: :math:`e\mathrm{=}\mathrm{-}0.01m`"



Material properties
------------------------

**Concrete:**

Young's module, :math:`E\mathrm{=}3{10}^{10}\mathit{Pa}`

Poisson's ratio, :math:`\nu \mathrm{=}0.0`

Coefficient of thermal expansion, :math:`\alpha \mathrm{=}{10}^{\mathrm{-}5}{K}^{\mathrm{-}1}`

**Steel:**

Young's module, :math:`E\mathrm{=}2{10}^{11}\mathit{Pa}`

Poisson's ratio, :math:`\nu \mathrm{=}0.0`

Coefficient of thermal expansion, :math:`\alpha \mathrm{=}{10}^{\mathrm{-}5}{K}^{\mathrm{-}1}`


Boundary conditions and loads
-------------------------------------

On side :math:`A` we block movements according to :math:`X` and :math:`Z` and the rotation around :math:`Y`:

 :math:`{U}_{x}\mathrm{=}0.0;{U}_{z}\mathrm{=}0.0;{R}_{y}\mathrm{=}0.0`

On edge :math:`B` we block the movement according to :math:`Y`:

 :math:`{U}_{Y}\mathrm{=}0.0`

The initial temperature is :math:`20°C` for steel and concrete.

The temperature of the steel is increased to reach :math:`120°C`.