Digital simulation of the transformation of plane stress

In this study, we developed a computer program to simulate the transformation of plane stress by using Visual Basic.NET. We applied the equations of stress transformation to plane stress problems to calculate the stresses with respect to the 1–2 axes, which are rotated counterclockwise through an an...

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Bibliographic Details
Published in:Computer applications in engineering education 2009-03, Vol.17 (1), p.25-33
Main Authors: Lee, Wei-Pin, Chiu, Chang-Hsuan, Hwan, Chung-Li, Ma, John
Format: Article
Language:English
Subjects:
Computer programs
Computer simulation
Eigenvalues
eigenvectors
invariants
Mathematical analysis
Mohr's circle
Plane stress
principal axes
principal stresses
similar matrices
Stresses
Transformations
Visual
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Summary:In this study, we developed a computer program to simulate the transformation of plane stress by using Visual Basic.NET. We applied the equations of stress transformation to plane stress problems to calculate the stresses with respect to the 1–2 axes, which are rotated counterclockwise through an angle θ about the x–y origin, and showed the visual results on the screen. In addition, we used animation to observe the change of plane stress. This program was then used in teaching courses, such as Mechanics of Materials and Linear Algebra. Use of the software may help students to understand principal stresses, principal axes, Mohr's circle, eigenvalues, eigenvectors, similar matrices, and invariants. © 2008 Wiley Periodicals, Inc. Comput Appl Eng Educ 17: 25–33, 2009; Published online in Wiley InterScience (www.interscience.wiley.com); DOI 10.1002/cae20180
ISSN:1061-3773
1099-0542
DOI:10.1002/cae.20180