1. Reference problem#

1.1. Geometry#

The aim is to model a reinforced concrete console of dimension \(10m\times 5m\times \mathrm{0,2}m\) with two layers of longitudinal reinforcements inserted into the concrete with \(>\) of coating.

_images/10000000000003600000021C389DE70C1684C161.jpg _images/10005314000069F0000013BE18113F9C3D664D56.svg

1.2. Material properties#

Steels and concrete are supposed to be elastic.

Concrete console:

\(>\),

\(>\) to compare to shell modeling,

\(>\)

Thickness of the console: \(>\);

Steel frame sheets:

\(>\), \(>\), \(>\)

High reinforcement sheet: section per linear meter = \(\mathrm{0,2}{m}^{2}/\mathit{ml}\);

eccentricity = \(>\);

orientation: \(\mathit{Ox}\)

Low reinforcement sheet: section per linear meter = \(\mathrm{0,2}{m}^{2}/\mathit{ml}\);

eccentricity = \(>\);

orientation: \(\mathit{Ox}\)

1.3. Boundary conditions and loads#

Boundary conditions and loads break down as follows:

At first, between \(>\) and \(t=1\) the loads are as follows:

  • Edge \(NO1NO4\) \((B0X)\) embedded and edge \(NO2NO3\) \((B1X)\) stuck next \(\mathit{Oz}\).

  • Gravity

In a second step, between \(t=1\) and \(t=2\), we modify the condition on the edge to apply the following displacement \(\mathit{Oz}\):

  • \(DZ=-\mathrm{0,1}m\) on edge \(NO2NO3\) \((B1X)\) (flexure loading)