Computing the kern of a general cross-section

Citation
M. Mofid et al., Computing the kern of a general cross-section, ADV EN SOFT, 32(12), 2001, pp. 949-955
Citations number
2
Categorie Soggetti
Computer Science & Engineering
Journal title
ADVANCES IN ENGINEERING SOFTWARE
ISSN journal
09659978 → ACNP
Volume
32
Issue
12
Year of publication
2001
Pages
949 - 955
Database
ISI
SICI code
0965-9978(200112)32:12<949:CTKOAG>2.0.ZU;2-V
Abstract
The 'kern' of a cross-section is the convex region within which any point l oad applied will produce stresses of the same sign as that of the load thro ughout the entire cross-section. Based on theorems of Mofid and Yavari [Int . J. Solids Struct. 31 (1998) 2377], an algorithm is presented that can com pute the kern of any cross-section numerically. We have developed a program based on this algorithm. A few examples arc solved using this program. The results are compared with those of Wilson and Turcotte [Adv. Engng Softwar e 17 (1993) 113] and Mofid and Yavari and excellent agreement is observed. (C) 2001 Elsevier Science Ltd. All rights reserved.