Bending solutions of Levinson beams and plates in terms of the classical theories

abstract

• Using the mathematical similarity of the governing equations of the classical beam and plate theories and the Levinson beam and plate theories, and the basis of load equivalence, exact relationships between the bending solutions of the two theories for beams and plates are derived. These relationships enable the conversion of the well-known classical (Euler-Bernoulli) beam and (Kirchhoff) plate solutions to their shear deformable counterparts using the Levinson beam and plate theories. Examples are given to illustrate the use of these relationships. 2001 Elsevier Science Ltd. All rights reserved.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

author list (cited authors)

• Reddy, J. N., Wang, C. M., Lim, G. T., & Ng, K. H.

citation count

• 44

publication date

• June 2001

publisher

• Elsevier  Publisher

keywords

• Beams
• Bending Relationships
• Classical Theory
• Levinson Theory
• Plates
• Shear Deformation

Digital Object Identifier (DOI)

• 10.1016/S0020-7683(00)00298-5

start page

• 4701

end page

• 4720

volume

• 38

issue

• 26-27

URL

• http://dx.doi.org/10.1016/s0020-7683(00)00298-5