Principal Sectorial coordinate system

The use of Sectorial coordinates is unavoidable when studying thin-walled elements with open cross sections. The torsional behavior of this type of elements is governed by some fundamental sectorial properties such as the position of the principal pole, i.e., the shear center, and the warping consta...

Full description

Saved in:
Bibliographic Details
Published in:Archive of applied mechanics (1991) 2020-02, Vol.90 (2), p.305-312
Main Authors: Gil-Martín, L. M., Hernández-Montes, E.
Format: Article
Language:English
Subjects:
Classical Mechanics
Coordinates
Engineering
Moments of inertia
Original
Theoretical and Applied Mechanics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The use of Sectorial coordinates is unavoidable when studying thin-walled elements with open cross sections. The torsional behavior of this type of elements is governed by some fundamental sectorial properties such as the position of the principal pole, i.e., the shear center, and the warping constant or sectorial moment of inertia. However, and despite being a fundamental concept, the definition of the Principal Sectorial coordinate system has not been clearly presented in the literature, and some errors can be found in the diagrams of sectorial areas in well-known text books. Moreover, the Principal Sectorial coordinate system is used, but the location of the principal origin is usually avoided. In this paper, a compact and alternative procedure to obtain the principal sectorial coordinate system is presented. Authors propose to put aside the traditional definition of Principal Origin and consider instead the value of the sectorial area at an extreme of the contour line. Several examples are developed.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-019-01610-4