Open Access
Shrikant Gunjal
S.A. Bhalchandra
- Post Graduate Student Department of Applied Mechanics, Government College of Engineering, Aurangabad Maharashtra India
- Professor Department of Applied Mechanics, Government College of Engineering, Aurangabad Maharashtra India
Abstract
For the thermal analysis of simply supported square and rectangular plates applied to sinusoidal distributed linear thermal load throughout the plate thickness and in combination with sinusoidal distributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. In this work, a sinusoidal function in terms of thickness coordinates is being used in the displacement field in conjunction with the transverse shear deformation effect. The normal and shear stress can be determined by using the strain-displacement equation of elasticity. The transverse shear stress can be calculated simply by applying constitutive relations to the top and bottom of the plate which fulfill the shear stress-free boundary conditions, also termed as traction-free boundary conditions. As a result, the shear correction factor is not required by the theory. The virtual work principle is used to derive the governing equation and boundary conditions of the plate theory. The responses like thermal stresses and displacements for orthotopic plates subjected to linear sinusoidal distributed thermal load in combination with transverse mechanical load are obtained. The result is obtained in form of normalized stresses and displacement by using normalized formed given in the literature. By comparing the results to classical plate theory, first-order order shear deformation theory, and higher-order order shear deformation theory, the proposed theory is validated.
Keywords: Trigonometric shear deformation theory, Isotropic, orthotropic, bending, sinusoidal distributed thermal load.
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Journal of Experimental & Applied Mechanics
| Volume | |
| Received | December 24, 2021 |
| Accepted | February 2, 2022 |
| Published | January 2, 2023 |