Unsymmetrical Bending of Beams: A Matrix Formulation

In this note the bending of uniform straight beams of unsymmetrical cross-section is investigated by matrices. The importance of the matrix of the inertia tensor of the cross-section is shown. Matrix formulae are presented for the normal stress, the flexural shearing stress in the case of thin-walle...

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Bibliographic Details
Published in:International journal of mechanical engineering education 1996-04, Vol.24 (2), p.144-149
Main Author: Tarnai, T.
Format: Article
Language:English
Subjects:
Cross-sections
Mechanical engineering
Shearing
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Summary:In this note the bending of uniform straight beams of unsymmetrical cross-section is investigated by matrices. The importance of the matrix of the inertia tensor of the cross-section is shown. Matrix formulae are presented for the normal stress, the flexural shearing stress in the case of thin-walled open sections, and the deflection curve in the case of small displacements. Matrix formulation makes this problem easy to handle; and so it provides an aid in teaching the subject.
ISSN:0306-4190
2050-4586
DOI:10.1177/030641909602400208