Bending Analysis of Isotropic Beam using “Hyperbolic Shear Deformation Theory”
Journal Title: IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) - Year 2018, Vol 15, Issue 1
Abstract
A new hyperbolic shear deformation theory for bending of isotropic beams, in which number of variables is same as that in the hyperbolic shear deformation theory, is developed. The theory takes into account transverse shear deformation effects; the noteworthy feature of theory is that the transverse shear stresses can be obtained directly from the use of constitutive relations with efficacy, satisfying the shear stress free condition on the top and bottom surfaces of the beam. Hence, the theory obviates the need of shear correction factor. The cantilever isotropic beam subjected to parabolic load is examined using the present theory. The scope of the present study is restricted to the linear analyses of beams with different aspect ratios. The beams can have cantilever as well as simple support boundary conditions. Results obtained are discussed critically with those of other theories.
Authors and Affiliations
Shaikh Nagma Saba, Dr, M. N. Mangulkar
Keywords
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