Modeling A
==============


Characteristics of modeling
-----------------------------------

We use a DKT model. Only a quarter of the tank is modelled.


Characteristics of the mesh
----------------------------

The elements are quadrangles. The DKT elements are oriented to have their outgoing normal.


Other calculation parameters
---------------------------

The acceleration due to gravity is :math:`9.81m/{s}^{2}`.

The distance between the axis of the steels and the surface of an element (coating) is :math:`0.04m`.

The equivalence coefficient is :math:`15.0`.

The maximum allowable stress of steel is :math:`2.8{10}^{8}\mathit{Pa}`.

The maximum allowable stress of concrete is :math:`3.5{10}^{7}\mathrm{Pa}`.

The calculation is carried out in the Service Limit State (ELS).

Pivots are worth :math:`\mathrm{PIVA}=1.0{10}^{3}` and :math:`\mathrm{PIVB}=3.5{10}^{-3}` respectively


Tested sizes and results
------------------------------

The values tested correspond to the maximums of the reinforcement densities on the various components :math:`\mathit{DNSXI}`, :math:`\mathit{DNSXS}`, :math:`\mathit{DNSYI}`, :math:`\mathit{DNSYS}`

For ease of reading, the results have been converted to :math:`{\mathit{cm}}^{2}\mathrm{/}m`.


.. csv-table::

    "**Point**", "**density**", "**Reference type**", "**Reference value**"
    **(in** :math:`{\mathit{cm}}^{2}/m`)", "**Calculated value**
    **(en** :math:`{\mathit{cm}}^{2}\mathrm{/}m`)", "**Tolerance**
    **(in** :math:`{\mathit{cm}}^{2}/m`)"
    "MAX "," DNSXI ", "'SOURCE_EXTERNE'", "''", "14", "14.1", "2"
    "MAX "," DNSXS ", "'SOURCE_EXTERNE'", "''", "9", "10.4", "4"
    "MAX "," DNSYI ", "'SOURCE_EXTERNE'", "''", "7", "16.6", "10"
    "MAX "," DNSYS ", "'SOURCE_EXTERNE'", "''", "6", "10.4", "5"



.. csv-table::

    "**Point**", "**density**", "**Reference type**", "**Reference value**"
    "M748"," DNSXI ", "'NON_REGRESSION'", "0.00130323479922"
    "M748"," DNSXS ", "'NON_REGRESSION'", "0.0"
    "M748"," DNSYI ", "'NON_REGRESSION'", "4.23403596532E-05"
    "M748"," DNSYS ", "'NON_REGRESSION'", "0.0"



.. csv-table::

    "**Identification**", "**Component**", "**Reference Type**", "**Reference**", "**% tolerance**"
    "UT01_ELEM - Maximum", ":math:`X1` ", "'NON_REGRESSION'", "''", "-", "-"
    "UT01_ELEM - Minimum", ":math:`X1` ", "'NON_REGRESSION'", "''", "-", "-"
    ":math:`\mathit{ferMax}` - Maximum", ":math:`X1` ", "'AUTRE_ASTER'", "0.00165857792205", "0.1"
    ":math:`\mathit{ferMax}` - Minimum", ":math:`X1` ", "'AUTRE_ASTER'", "''", "0.000101286161289", "0.1"