3.1.9.2. Legendre

This command is used to create a Gauss-Legendre beamIntegration object. Gauss-Legendre integration is more accurate than Gauss-Lobatto; however, it is not common in force-based elements because there are no integration points at the element ends. The command places N Gauss-Legendre integration points along the element. The location and weight of each integration point are tabulated in references on numerical analysis. The order of accuracy is 2*N*−1.

Two input forms are supported: prismatic (one section for all points) and non-prismatic (one section tag per integration point).

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

Example

  1. Tcl Code

beamIntegration Legendre 2 1 6
beamIntegration Legendre 3 4 1 2 2 1

  1. Python Code

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