SHAPE-THIN/SHAPE-MASSIVE
In SHAPE‑THIN and SHAPE‑MASSIVE, the section moduli are calculated according to the following formulas:
With the section moduli calculated in this way, it is not possible to directly calculate the maximum and minimum normal stress from the bending moment My or Mz for asymmetric cross-sections.
RSECTION
In RSECTION, the section moduli are determined in such a way that they allow for the direct calculation of the extreme normal stresses from the bending moments My and Mz.
You can determine the section modulus about the y-axis at a point i on the outer contours of the cross-section as follows:
The section modulus about the z-axis at point i on the outer contours of the cross-section is determined as follows:
The minimum section modulus about the y- or z-axis is the maximum negative section modulus of the i-points. The maximum section modulus about the y- or z-axis is the smallest positive section modulus of the i-points.
The governing section moduli about the y- or z-axis are calculated as follows:
Example
Image 01 shows a rectangular cross-section inclined by 10° with the dimensions of w/h = 50/10 mm.
In SHAPE‑THIN or SHAPE‑MASSIVE, the following section moduli Wy,min, Wy,max, Wz,min, and Wz,max are obtained (see Image 02):
In RSECTION, the following section moduli Wy,min, Wy,max, Wz,min, and Wz,max are obtained (Image 03):
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