The theory of equilibrium of plates in stresses

This paper proposes a non-classical theory of stressed plates. Resolving equations are obtained in terms of longitudinal forces of shear forces and internal moments, and boundary conditions are formulated. The obtained solutions simultaneously satisfy the equilibrium equations and the Beltrami-Mitch...

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Bibliographic Details
Main Author: Akhmedov, Akrom
Format: Conference Proceeding
Language:English
Subjects:
Boundary conditions
Boundary value problems
Equilibrium equations
Plates
Shear forces
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Summary:This paper proposes a non-classical theory of stressed plates. Resolving equations are obtained in terms of longitudinal forces of shear forces and internal moments, and boundary conditions are formulated. The obtained solutions simultaneously satisfy the equilibrium equations and the Beltrami-Mitchell stress compatibility equations. A boundary value problem is formulated for a plate under the action of mutually balanced loads. Some applied problems have been solved.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0214808