1. Reference problem#

1.1. Geometry#

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

Concrete:

Young’s module, \(E\mathrm{=}3{10}^{10}\mathit{Pa}\)

Poisson’s ratio, \(\nu \mathrm{=}0.0\)

Coefficient of thermal expansion, \(\alpha \mathrm{=}{10}^{\mathrm{-}5}{K}^{\mathrm{-}1}\)

Steel:

Young’s module, \(E\mathrm{=}2{10}^{11}\mathit{Pa}\)

Poisson’s ratio, \(\nu \mathrm{=}0.0\)

Coefficient of thermal expansion, \(\alpha \mathrm{=}{10}^{\mathrm{-}5}{K}^{\mathrm{-}1}\)

On side \(A\) we block movements according to \(X\) and \(Z\) and the rotation around \(Y\):

\({U}_{x}\mathrm{=}0.0;{U}_{z}\mathrm{=}0.0;{R}_{y}\mathrm{=}0.0\)

On edge \(B\) we block the movement according to \(Y\):

\({U}_{Y}\mathrm{=}0.0\)

The initial temperature is \(20°C\) for steel and concrete.

The temperature of the steel is increased to reach \(120°C\).