Uniformly Loaded Square Plate with Partially Simply Supported at the Middle Edges and Point-Column Supported at the Corners: II – Analytical Expressions
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Abstract
In a companion paper, it has already been treated and derived an integral equation of the Fredholm-type. This equation governs the bending of uniformly loaded square plate in which the plate is supported by corner-point supports together with partial simple supports placed at the middle edges. Therefore, the current paper is aimed to further derive and propose the analytical closed-form expressions involving the plate deformations and stress resultants; namely, deflection, slope, bending moment, shear force in element, and corner force of the plate.
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Copyright @2021 Engineering Transactions
Faculty of Engineering and Technology
Mahanakorn University of Technology
References
Y. Sompornjaroensuk and P. Ratchatasakron, “Uniformly loaded square plate with partially simply supported at the middle edges and point-column supported at the corners: I - Theoretical formulation,” Engineering Transactions (accepted for publication).
S.P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, 2nd ed., McGraw-Hill, Singapore, 1959.
M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, U.S. Department of Commerce, National Bureau of Standards, Applied Mathematics Series 55, Dover Publications, New York, 1964.
J.J. Tuma, Engineering Mathematics Handbook, 2nd enlarged and revised ed., McGraw-Hill, New York, 1979.
Y. Sompornjaroensuk and K. Kiattikomol, “Dual-series equations formulation for static deformation of plates with a partial internal line support,” Theoretical and Applied Mechanics, vol. 34, no. 3, pp. 221 - 248, 2007.
Y. Sompornjaroensuk and K. Kiattikomol, “Exact analytical solutions for bending of rectangular plates with a partial internal line support,” Journal of Engineering Mathematics, vol. 62, pp. 261 - 276, 2008.
Y. Sompornjaroensuk and K. Kiattikomol, “Inverse square root moment singularities in rectangular plates containing an internal line support,” International Journal of Computational Methods, vol. 6, no. 1, pp. 1 - 21, 2009.