The function / Geometry / main menu of the program includes the following options:
/ Surface area A /
/ center of gravity <xs, ys> /
/ static moment S /
/ moment of inertia J /
/ central moments of inertia and strength indices Jx, Jy, Wx, Wy /
/ closed area test
Any enclosed area is calculated. Specifying boundaries of enclosed area is identical to specifying an hatching area.
After finding a closed area, it is filled with current color (temporarily, until any key is pressed) in order to verify the correctness of the given area boundaries.
The calculated value (or values) are displayed in the top info line. After pressing any key, the drawing is redrawn (the area filled is removed) and the calculated values are saved in the notepad (for later use if necessary).
All value are expressed in current units, taking into account the scale of the current drawing.
The surface area is expressed in current drawing measure units to the power of 2.
The coordinates of the center of gravity are expressed in the local system of the drawing.
Static moments are expressed in current drawing measure units to the power of 3.
Moments of inertia are expressed in current drawing measure units to the power of 4.
The central moments of inertia (Jx, Jy) are determined with respect to the axes parallel to the X and Y axes, passing through the area's center of gravity. At the same time, the strength indices (Wx, Wy) in relation to both central axes expressed in drawing units to the power of 3 are calculated.
All values are determined by numerically integrating the closed area.