2. The Euler–Bernoulli and Timoshenko Theories
Published Online: 11 AUG 2011
DOI: 10.1002/9781119978565.ch2
Copyright © 2011 John Wiley & Sons, Ltd
Book Title
Beam Structures: Classical and Advanced Theories
Additional Information
How to Cite
Carrera, E., Giunta, G. and Petrolo, M. (2011) The Euler–Bernoulli and Timoshenko Theories, in Beam Structures: Classical and Advanced Theories, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119978565.ch2
Publication History
- Published Online: 11 AUG 2011
- Published Print: 16 SEP 2011
ISBN Information
Print ISBN: 9780470972007
Online ISBN: 9781119978565
- Summary
- Chapter
- References
Keywords:
- Euler–Bernoulli and Timoshenko theories;
- beam geometry, displacements, strains and stresses;
- Euler–Bernoulli model, EBBT - beam reference coordinate frame;
- bending of beam, and Euler–Bernoulli kinematic hypotheses;
- cross-section reference systems - and centroidal reference system;
- Navier equation - for longitudinal stress;
- Timoshenko model in TBT - and Timoshenko's kinematic hypotheses;
- cantilever beam bending - EBBT and TBT solutions
Summary
This chapter contains sections titled:
The Euler–Bernoulli model
The Timoshenko model
Bending of a cantilever beam: EBBT and TBT solutions
References