К ТОЧНОМУ РЕШЕНИЮ ЗАДАЧИ О РАСЧЕТЕ БАЛОЧНОЙ ПЛИТЫ И ПЛАСТИНКИ НА УПРУГОМ ОСНОВАНИИ ВИНКЛЕРА

Abstract

The paper examines the problems of calculating a beam slab axisymmetrically loaded with round and rectangular plates on an elastic Winkler foundation in the traditional formulation without taking into account shear stresses and one-sided connections in the contact zone between the structure and the elastic foundation. The deflections of the structure are represented as a series of eigenfunctions of the differential equation of bending vibrations of a structure with free edges. The external load is also arranged in a series according to its own functions. Substituting these expansions into the differential equation for the deflection of a structure on the Winkler base and equating the coefficients for the same eigenfunctions, we find an expression for the deflections of the structure. Next, the forces in the structure are determined from the deflections. Solutions are given to problems of bending of a beam slab axisymmetrically loaded with round and square plates partially loaded with a uniformly distributed load.