Calculation of Elastic Section Properties

Calculation of Elastic Section Properties

Note that X and Y axes here are the cut-section local (X,Y) plane, and the centroid position is given relative to the origin of the plane.

The following engineering properties are calculated:

Total Area  -> The sum of all cut-section polygon areas.

Geometric centroid ( Xc,Yc ) -> The result of the 1st moment of area about X and Y axes, divided by the area.

Geometric centroid in global coordinates ( Xc_g, Yc_g, Zc_g ) ->  Displays the geometric centroid in the global coordinate system.

2nd moments of area Ixx, Iyy, Ixy -> In each case the sum of the local I value for each polygon, + its area * distance squared from the relevant axis.

Principal 2nd moments of area Iuu (max) and Ivv (min), and the angle theta between Iuu and Ixx -> The result of transforming the tensor [Ixx, Iyy, Ixy] using Mohr's circle to give principal values and the angle between Iuu and Ixx.