# 79. `plugins.section2d` — Some functions operating on 2D structures.¶

This is a plugin for pyFormex. (C) 2002 Benedict Verhegghe

See the Section2D example for an example of its use.

## 79.1. Classes defined in module plugins.section2d¶

class `plugins.section2d.``PlaneSection`(F)[source]

A class describing a general 2D section.

The 2D section is the area inside a closed curve in the (x,y) plane. The curve is decribed by a finite number of points and by straight segments connecting them.

## 79.2. Functions defined in module plugins.section2d¶

`plugins.section2d.``sectionChar`(F)[source]

Compute characteristics of plane sections.

The plane sections are described by their circumference, consisting of a sequence of straight segments. The segment end point data are gathered in a plex-2 Formex. The segments should form a closed curve. The z-value of the coordinates does not have to be specified, and will be ignored if it is. The resulting path through the points should rotate positively around the z axis to yield a positive surface.

The return value is a dict with the following characteristics:

• L : circumference,
• A : enclosed surface,
• Sx : first area moment around global x-axis
• Sy : first area moment around global y-axis
• Ixx : second area moment around global x-axis
• Iyy : second area moment around global y-axis
• Ixy : product moment of area around global x,y-axes
`plugins.section2d.``extendedSectionChar`(S)[source]

Computes extended section characteristics for the given section.

S is a dict with section basic section characteristics as returned by sectionChar(). This function computes and returns a dict with the following:

• xG, yG : coordinates of the center of gravity G of the plane section
• IGxx, IGyy, IGxy : second area moments and product around axes through G and parallel with the global x,y-axes
• alpha : angle(in radians) between the global x,y axes and the principal axes (X,Y) of the section (X and Y always pass through G)
• IXX, IYY : principal second area moments around X,Y respectively. (The second area product is always zero.)
`plugins.section2d.``princTensor2D`(Ixx, Iyy, Ixy)[source]

Compute the principal values and directions of a 2D tensor.

Returns a tuple with three values:

• alpha : angle (in radians) from x-axis to principal X-axis
• IXX,IYY : principal values of the tensor