.. include:: sub.txt


Radau
^^^^^

To create a Gauss-Radau beamIntegration object. Gauss-Radau integration is not common in force-based elements because it places an integration point at only one end of the element; however, it forms the basis for optimal plastic
   hinge integration methods.

   Places ``N`` Gauss-Radau integration points along the element with a point constrained to be at ndI. The location and weight of each integration point are tabulated in references on
   numerical analysis. The force-deformation response at each integration point is defined
   by the section. The order of accuracy for Gauss-Radau integration is 2N-2.

.. function:: beamIntegration 'Radau' tag secTag N

.. csv-table::
   :header: "Argument", "Type", "Description"
   :widths: 10, 10, 40

   "$tag",       "|integer|",    "Unique object tag"
   "$sectTag",   "|integer|",    "A previous-defined section"
   "$N",         "|integer|",    "Number of Integration Points along the elementa"
   

.. admonition:: Example:

   The following examples demonstrate the command in Tcl and Python script to add a Radau beam integration with tag 2 and 6 integration points that uses the previously defined section whose tag is 1.

   1. **Tcl Code**

   .. code-block:: tcl

      beamIntegration 'Radau' 2 1 6


   2. **Python Code**

   .. code-block:: python

      beamIntegration('Radau',2,1,6)