An Equation Both More Consistent and Simpler Than the Bresse-Timoshenko Equation

  • Isaac ElishakoffEmail author
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 168)


A simple equation is discussed which takes into account both shear deformation and rotary inertia in vibrating beams. This equation is both more consistent and simpler than the widely used one of Bresse-Timoshenko.



This study was conducted as part of research proposal to the National Institutes of Health for modeling of short carbon nanotubes. The work reported in this paper was supported by the J. M. Rubin Foundation of Florida Atlantic University. Stimulating discussions with Professor Mahir Sayir of ETH, Zürich, Switzerland are gratefully acknowledged.


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© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringFlorida Atlantic UniversityBoca RatonUSA

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