International Journal of Advance Civil Engineering and Technology ISSN: 3107-7374 (Online)

Authors: S. P. Patil, U. B. Kalwane, J. P. Bhandari

Abstract: A 5th order shear deformation theory considering transverse shear deformation effect is presented for static flexure analysis of fixed isotropic beam. The assumed displacement field accounts for non-linear variation of inplane displacements as well as transverse displacement through the beam thickness. The condition of zero transverse shear stresses on the top and bottom surface of beam is satisfied. Hence the present formulation does not require the shear correction factor generally associated with the first order shear deformable theory. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Closed form analytical solutions for fixed isotropic thick beams subjected to various loads are obtained. Numerical results for static flexure analysis include the effects of side to thickness ratio and beam aspect ratio for fixed isotropic beams. The results of present theory are in close agreement with those of higher order shear deformation theories.