3.1.9.4. 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.

beamIntegration 'Radau' tag secTag N

Argument	Type	Description
$tag	integer	Unique object tag
$sectTag	integer	A previous-defined section
$N	integer	Number of Integration Points along the elementa

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

beamIntegration 'Radau' 2 1 6

2. Python Code

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