Abstract
Objectives: To study the trigonometric shear deformation theory for the evolution of displacements and stresses of crossply simply supported laminated beam subjected to varying load. Methodology: A trigonometric shear deformation is used. The inplain displacement field uses a sinusoidal function in terms of the thickness coordinate to include the shear deformation effect. The theory satisfies the shear stress free boundary conditions on the top and bottom surfaces of the plate. The present theory obviates the need of a shear correction factor. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Finding: Stresses and displacements for orthotropic, single-layer, three-layer symmetric square cross-ply laminated beam subjected to varying load. Novelty: The numerical results of the present theory for displacement and stresses are compared with those of classical (ETB), first-order (FSDT), and higher-order shear deformation beam theories. Keywords: Layerwise Composite Beam, Trigonometric Shear Deformation Theory, Varying Load, Simply Supported Beam.
Highlights
IntroductionComposite materials are widely used in worldwide
Nowadays, composite materials are widely used in worldwide
We studied the isotropic beam with different loading condition as well as different supports
Summary
Composite materials are widely used in worldwide. Composite material is a material made up with the help of two or more different properties of materials. The composite material gives more strength to structural components. The composite material having advantage in its life span. Composite material having more uses in aircraft and ships. We studied the isotropic beam with different loading condition as well as different supports. Either isotropic or anisotropic, basically form two- and three-dimensional problems of elasticity
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