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


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

Beam elements POU_D_T (Timoshenko's right beam)


.. image:: images/100007DC000016D700000DBF5A7D5AEDA5D9F0DB.svg
    :width: 294
    :height: 177


.. _RefImage_100007DC000016D700000DBF5A7D5AEDA5D9F0DB.svg:

Cutting: 10 beam elements

node :math:`A`: translations to :math:`x` and :math:`y` blocked

node :math:`B`: translation to :math:`y` blocked.

**Note:**

*Force* :math:`P` *applied in* :math:`B` *generates a reaction* :math:`-P` *in* :math:`A` *.*


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


.. csv-table::

    "Number of knots:", "21"
    "Number of meshes and types:", "20 SEG2"



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


.. csv-table::

    "**Pre-constrained/clean mode order**", "**Reference**"
    ":math:`P=0` 1", "4.97137"
    "2", "19.8851"
    "3", "44.7414"
    "4", "79.5403"
    "5", "124.2818"
    "", ""
    ":math:`P=10` 1", "5.0728"
    "2", "19.9874"
    "3", "44.8439"
    "4", "79.6429"
    "5", "124.3844"
    "", ""
    ":math:`P=100` 1", "5.9090"
    "2", "20.8860"
    "3", "45.7561"
    "4", "80.5600"
    "5", "125.3037"
    "", ""
    ":math:`P=1000` 1", "11.2577"
    "2", "28.3462"
    "3", "54.0370"
    "4", "89.2134"
    "5", "134.1511"