Coverage Guardial Elements Exposed To Local Forces And Their Calculating
Abstract
Coverage Guardial Elements Exposed To Local Forces And Their Calculating
Incoming article date: 22.12.2016Construction of three-dimensional structures faces the need to cover the hard concrete layer with lightweight insulation and waterproof carpet. This combination of materials with different mechanical and physical properties requires the creation of methods for determining the stress-strain state of elastic composite layer lying on absolutely solid. According to these criteria the general solution of elasticity theory problem for each layer has been calculated. The system of differential equations is solved. A homogeneous solution can be used to study various problems of stress state in a layer. Formation of the problem of infinitely extending beamless surface has been drawn as an example. These solutions can be used in studding various problems of stress state layer. The solutions of engineering problems require the definition of complex roots of transcendental characteristic equation. In this paper, the roots were determined by Newton`s method. The obtained roots of the characteristic equation determine the stress and displacements in each point of a composite layer.
Keywords: eigenvalues, eigenfunctions, boundary conditions, a potential solution, vortex solution, differential operators, homogeneous system, the voltage of the plate