3.1.9.3. NewtonCotes

This command creates a Newton-Cotes beamIntegration object. Newton-Cotes places integration points uniformly along the element, including a point at each end of the element. The weights for the uniformly spaced integration points 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 N-1.

beamIntegration 'NewtonCotes' 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 NewtonCotes beam integration with tag 2 and 6 integration points that uses the previously defined section whose tag is 1.

1. Tcl Code

beamIntegration 'NewtonCotes' 2 1 6

2. Python Code

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