F) |
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
S) |
S is a dict with section basic section characteristics as returned by sectionChar(). This function computes and reutrns 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 glabla 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.)
Ixx,Iyy,Ixy) |
Returns a tuple with three values: - alpha: angle (in radians) from x-axis to principal X-axis - IXX,IYY: principal values of the tensor