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.

Two input forms: prismatic (one section) or non-prismatic (N section tags).

beamIntegration Radau tag secTag N
beamIntegration Radau tag N secTag1 secTag2 ... secTagN

Example

  1. Tcl Code

beamIntegration Radau 2 1 6
beamIntegration Radau 3 4 1 2 2 1

  1. Python Code

ops.beamIntegration('Radau', 2, 1, 6)
ops.beamIntegration('Radau', 3, 4, 1, 2, 2, 1)