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

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

This modeling illustrates the methodology for tightening a stud. The aim is to impose a relative displacement between the nodes of the nut and the stud and to calculate the resulting force. The calculation is carried out by modifying the value of DEPL_R until the resulting effort corresponds to the required effort.


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

The realignment achieved is considered satisfactory when DEPL_R is :math:`8.0E-3\mathit{mm}`. This value makes it possible to pre-tension the stud with an average stress of :math:`30\mathit{MPa}` in the stud shaft.

The resulting effort is compared to the effort sought.

.. csv-table::

    "**Result**", "**Reference**", "**Reference Value**", "**Tolerance**"
    "Resulting force on the nut", "ANALYTIQUE "," :math:`\mathrm{-}1695.6N` "," :math:`1.0E-02`"


Non-regression tests with a tolerance of :math:`1.0E-6` are carried out on the resulting efforts of the following faces:


* face of the nut in contact with the stud,


* face of the stud in contact with the nut,


* face of the underside of the stud,


* face of the joint in contact with the flange,


* face of the flange in contact with the joint.

*Note: the resulting force calculated on each face is the same.*