Separation of the 3D stress state of a loaded plate into two-dimensional tasks: bending and symmetric compression of the plate

The three-dimensional stress-strain state of an isotropic plate loaded on all its surfaces is considered in the article. initial problem divided into two ones: symmetrical bending and a compression plate, by specified loads. It shown that plane theory elasticity special case second task. To solve task, symmetry normal stresses used. Boundary conditions are satisfied harmonic obtained for some functions. Expressions effort were found after integrating satisfy three equilibrium equations. For thin closed system equations was to determine Displacements expressed two-dimensional functions partial solution Laplace equation with right-hand side, which determined end Three-dimensional boundary reduced ones. formula experimental determination sum via displacements surface plate.