Relationships between bending solutions of classical and shear deformation beam theories Academic Article

abstract

• The exact relationships between the deflections, slopes/rotations, shear forces and bending moments of a third-order beam theory, and those of the Euler-Bernoulli theory and the Timoshenko beam theory are developed. The relationships enable one to obtain the solutions of the third-order beam theory from any known Euler-Bernoulli or Timoshenko beam theory solutions of beams, for any set of boundary conditions and transverse loads. The relationships can also be used to develop finite element models of the Timoshenko and third-order beam theories, and determine numerical solutions from the finite element model of the Euler-Bernoulli beam theory. The finite element models are free of the shear locking that is found in the conventional shear deformable finite elements. 1997 Elsevier Science Ltd.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

author list (cited authors)

• Reddy, J. N., Wang, C. M., & Lee, K. H.

citation count

• 72

complete list of authors

• Reddy, JN||Wang, CM||Lee, KH

publication date

• September 1997

publisher

• Elsevier  Publisher

published in

• International Journal of Solids and Structures  Journal

keywords

• 40 Engineering
• 4001 Aerospace Engineering

Digital Object Identifier (DOI)

• 10.1016/S0020-7683(96)00211-9

start page

• 3373

end page

• 3384

volume

• 34

issue

• 26

URL

• http://dx.doi.org/10.1016/s0020-7683(96)00211-9