General characteristics
==========================

Geometry
---------

The geometry is identical to that of test cases SSNL119 and SDLL130 except for the longitudinal reinforcements, which are all identical here: these are four :math:`\mathit{HA32}`.


.. image:: images/100000000000020F0000020F0434F7CFC045FBA1.png
    :width: 3.9646in
    :height: 3.9646in


.. _RefImage_100000000000020F0000020F0434F7CFC045FBA1.png:

**Figure** 1.1-a: g**structure geometry**

**NB:** transverse reinforcements are not taken into account in the calculations.


.. _RefNumPara__10496_529633604:


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

For modeling A:

For concrete, Mazars's law of behavior in its 1D version:

Elasticity part:

:math:`E\mathrm{=}3.72720E+10`, :math:`\mathit{NU}\mathrm{=}2.0E-01`, :math:`\mathit{RHO}\mathrm{=}2.40E+03`,

Non-linear part:

:math:`\mathit{AC}\mathrm{=}1.71202987`, :math:`\mathit{BC}\mathrm{=}2.01163780E+03`, :math:`\mathit{BT}\mathrm{=}1.21892353E+04`,

:math:`\mathit{BETA}\mathrm{=}1.10`, :math:`\mathit{AT}\mathrm{=}1.00`, :math:`\mathit{EPSD0}\mathrm{=}8.20396008E-05`,

For modeling B:

Concrete:

Young's module: :math:`E\mathrm{=}37272\mathit{MPa}`

Poisson's ratio: :math:`\nu =0.2`

Tensile elasticity threshold: :math:`{\sigma }_{\mathrm{ft}}=3.9\mathrm{MPa}`

Threshold of elasticity in compression: :math:`{\sigma }_{\mathrm{fc}}=38.3\mathrm{MPa}`

For A and B models:

ecro_line law of behavior for steel:

:math:`E=200000\mathrm{MPa}`, :math:`\nu =0.33`, :math:`{\sigma }_{e}=400\mathrm{MPa}`, :math:`{E}_{T}=3280\mathrm{MPa}`, :math:`\rho =7800\mathrm{kg}/{m}^{3}`

Damping: Rayleigh type (:math:`\alpha K+\beta M`), with :math:`\text{5\%}` on modes 1 and 2.


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

Simple press in :math:`B`: :math:`\mathrm{dy}=0`

Press "double" in :math:`A`: :math:`\mathrm{dx}=\mathrm{dy}=0`

To avoid out-of-plane modes, the following degrees of freedom are blocked all over the beam: :math:`\mathrm{rx}=\mathrm{ry}=\mathrm{dz}=0`

Loading: earthquake ac_s2_c_1 [Figure], in axis :math:`\mathit{OY}` applied to both supports, with a signal amplification factor of 45.


.. image:: images/1001458C000032DA00001E63AAE4302FAF73172E.svg
    :width: 477
    :height: 285


.. _RefImage_1001458C000032DA00001E63AAE4302FAF73172E.svg:

**Figure** 1.3-a: a **ac_s2_c_1 accelerogram imposed on the structure**