6. The Parabolic, Cubic, Quartic, and N-Order Beam Theories

  1. Erasmo Carrera1,
  2. Gaetano Giunta2 and
  3. Marco Petrolo1

Published Online: 11 AUG 2011

DOI: 10.1002/9781119978565.ch6

Beam Structures: Classical and Advanced Theories

Beam Structures: Classical and Advanced Theories

How to Cite

Carrera, E., Giunta, G. and Petrolo, M. (2011) The Parabolic, Cubic, Quartic, and N-Order Beam Theories, in Beam Structures: Classical and Advanced Theories, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119978565.ch6

Author Information

  1. 1

    Politecnico di Torino, Italy

  2. 2

    Centre de Recherche Public Henri Tudor, Luxembourg

Publication History

  1. Published Online: 11 AUG 2011
  2. Published Print: 16 SEP 2011

ISBN Information

Print ISBN: 9780470972007

Online ISBN: 9781119978565

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Keywords:

  • parabolic, cubic, quartic and N-order beam theories;
  • classical models and problems - refined models;
  • second-order beam model, N = 2 - second-order model;
  • parabolic model, and linear distribution - and Poisson locking;
  • cubic distribution of displacement component;
  • N-order beam models and beam formulation;
  • cross-section strain distribution orders - and beam models

Summary

This chapter contains sections titled:

  • The second-order beam model, N = 2

  • The third-order, N = 3, and the fourth-order, N = 4, beam models

  • N-order beam models

  • Further reading