Principal Axis Inclination

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Tips & Tricks

The cross-section program SHAPE-THIN determines the principal axis inclination α from the moments of inertia according to the following formula:

The function "Transform the principal axes such that Iu is always greater than Iv " allows you to adjust the position of the principal axes with the input. It is not necessary to rotate the cross-section by 90 °.

According to the formula above, only angles between +90° and -90° are possible. If internal forces for the cross-section are already defined with reference to the principal axes u and v, you can use another function to ensure that the position of the principal axes is kept when rotating the cross-section subsequently: "Keep the position of the principal axes relating to the section geometry when rotating the section". Thus, angles α greater than +90° or smaller than -90° are also possible.


Dipl.-Ing. (FH) Robert Vogl

Dipl.-Ing. (FH) Robert Vogl

Technical Editor, Product Engineering & Customer Support

Mr. Vogl creates and maintains the technical documentation. In addition, he is involved in the development of the SHAPE-THIN program and provides customer support.


Principal axis inclination Major axis Minor axis Principal axis


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  • Updated 29 October 2020

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Cross-Sections Thin-Walled

Stand-Alone Program

Properties and stresses of thin-walled and cold-formed cross-sections

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