Solving the Problem of Elastic Bending of a Layered Cantilever Under a Normal Load Linearly Distributed over Longitudinal Faces
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Date
2020-01
Authors
Ковальчук, Станіслав Богданович
Горик, Олексій Володимирович
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Abstract
Description
We present the exact solution to the problem of elastic plane bending of a layered composite beam of small width under normal loads linearly distributed over the longitudinal faces. The constitutive equations for the strain–stress state are obtained by directly solving a plane problem of elasticity taking into account the orthotropy of the elastic properties of layer materials and their piecewise-constant variation along the cross-sectional height. The obtained analytical solution describes the distribution of stresses and displacements over the whole layered bar and allows performing strength and rigidity analyses as well as finding the solutions to different applied problems on plane bending of composite beams.
Keywords
beam, composite, layer, bending, stress, deformation, displacement, analytical solutions, балка, композит, шар, згин, напруження, деформації, переміщення, аналітичний розв'язок, балка, композит, слой, изгиб, напряжения, деформации, перемещения, аналитическое решение