Geometric properties for the design of unusual member cross-sections in bending
File(s)
Author(s)
Sadowski, AJ
Type
Journal Article
Abstract
This short communication presents a series of general geometric properties of unusually-shaped member cross-sections. A skeleton derivation of the most important properties is presented and a method is illustrated for constructing more complex cross-sections. The focus is on the cross-sectional area, centroid and second moment of area, used in classical engineering design for bending. The shapes presented include circular and elliptical segments, sectors and arcs, semiellipses, superellipses, and combinations thereof. The superellipse allows a vast range of novel cross-sections to be described analytically and is a powerful mathematical tool for the analysis of unusual curved shapes. The equations are presented as composites of their geometric components so as to facilitate practising engineers in their implementation as programmed functions or subroutines. © 2011 Elsevier Ltd.
Date Issued
2011-05-01
ISSN
0141-0296
Start Page
1850
End Page
1854
Journal / Book Title
Engineering Structures
Volume
33
Issue
5
Copyright Statement
© 2011 Elsevier Ltd. All rights reserved. NOTICE: this is the author’s version of a work that was accepted for publication in Engineering Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published inENGINEERING STRUCTURES, Vol.: 33, Issue: 5, (2011) DOI: 10.1016/j.engstruct.2011.01.026
Description
23.06.14 KB. Ok to add accepted version to spiral, Elsevier says ok while mandate not enforced.