Abstract
The stress–strain state of thick rectangular plates is determined using a numerical-analytic approach based on the three-dimensional theory of elasticity. The problem is made one-dimensional using the method of spline collocation in two coordinate directions. The boundary-value problem for a system of ordinary differential equations of high order is solved with the stable numerical method of discrete orthogonalization. The stress–strain state of plates with different geometrical parameters and hinged or clamped edges is analyzed
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