Abstract:
The formulation of the boundary value problem of bending a five-layer symmetrical thickness rod is given.
The central and outer layers are assumed to be load-bearing, thin, of increased rigidity, and absorb the bulk of the mechanical
load. In them, the deformation obeys the Bernoulli hypothesis. Two relatively thick rigid fillers provide a redistribution
of forces between the load-bearing layers. Tymoshenko's hypotheses are valid for them. The principle of possible displacements
is applied to derive a system of differential equations for the equilibrium of the rod. An analytical solution of the boundary
value problem and calculation formulas for displacements under uniformly distributed load are obtained. Numerical
approbation of the obtained solution is carried out.
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