A Simple Higher Order Theory for Bending Analysis of Steel Beams

International Journal of Civil Engineering

© 2015 by SSRG - IJCE Journal

Volume 2 Issue 4

Year of Publication : 2015

Authors : T.K. Meghare, P.D. Jadhao

10.14445/23488352/IJCE-V2I4P106

How to Cite?

T.K. Meghare, P.D. Jadhao, "A Simple Higher Order Theory for Bending Analysis of Steel Beams," SSRG International Journal of Civil Engineering, vol. 2,  no. 4, pp. 29-36, 2015. Crossref, https://doi.org/10.14445/23488352/IJCE-V2I4P106

Abstract:

A new shear deformation theory for the bending analysis of thick isotropic beams made up of steel is presented in this paper. The theory presented herein is built upon the elementary theory of beams. The transverse shear stress can be obtained directly from the constitutive relations satisfying the shear stress free surface conditions on the top and bottom surfaces of the beam, hence the theory does not require shear correction factor. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The simply supported thick isotropic beams are considered for the detailed numerical studies. Results of displacements and stresses are compared with those of other refined theories and exact theory to show the efficiency of proposed theory.

Keywords:

Shear deformation, refined theory, , shear correction factor, Four variables.

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