Abstract
The basic design relations for thermal-force spatial bending with tension, transverse shear and torsion were obtained for a spatially hospismatic rod of rectangular cross section, composed of quasi-homogeneous parts (phases), which were made of various structural materials. Approximations of the transverse shears functions and a membrane analogy were used for shear deformations during torsion, using the Tymoshenko hypotheses. As a sesult, obtained relations allow one to perform approximate formulations and solutions of various boundary-value direct and inverse problems, including: identifying the stress-strain state of a composite rod under thermal power, evaluating its strength and stiffness, identifying rational geometric and structural parameters of the inhomogeneous structure of the rod, and optimization problems. Expressions were obtained for the stiffness characteristics of the zeroth, first, and second orders in bending with tension, shear and tensional stiffness of the section, which allowed us to formulate the boundary value problems of spatial deformation of composite rods.
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