1. Description#

1.1. Geometry#

The concrete plate consists of a square with a side of \(2m\) and an isosceles triangle with a base of \(2m\) and a height of \(\mathrm{0,5}m\).

The thickness of the plate is \(e\mathrm{=}\mathrm{0,6}m\).

A cable, located on segment \(\mathrm{[}\mathit{AB}\mathrm{]}\), crosses the square part of the plate horizontally, halfway up, without eccentricity in the thickness. The cross-sectional area of the cable is \({S}_{a}\mathrm{=}\mathrm{1,5}{.10}^{\mathrm{-}4}{m}^{2}\).

_images/10000000000001AF000001A1BFE0756024FD0FE3.png

1.2. Material properties#

The plate is made of concrete and the cable is made of steel.

Material

Concrete

Steel

Young’s module

\({E}_{b}\mathrm{=}{3.0}^{10}\mathit{Pa}\)

\({E}_{a}\mathrm{=}{\mathrm{2.1.10}}^{11}\mathit{Pa}\)

Poisson’s ratio

\({\nu }_{b}\mathrm{=}0.3\)

\({\nu }_{a}\mathrm{=}0.3\)

Density

\({m}_{b}\mathrm{=}2500\mathit{Kg}\mathrm{/}{m}^{3}\)

\({m}_{a}\mathrm{=}7500\mathit{Kg}\mathrm{/}{m}^{3}\)

1.3. Boundary conditions#

Nodes \(O\) and \(C\) are embedded: all degrees of freedom of translation and rotation are locked.