Stress-Strain State of Shallow Shell in an Elastic Foundation with Variable Strength Characteristics

Purpose of research. Changes in the stress-strain state of structures of shallow shells on an elastic foundation with a change in its strength characteristics investigation.

Methods. To solve a system of differential equations of state for shallow shells in an elastic state the BubnovGalerkin method is used. Geometric non-linearity of work material of construction is taken into account. The approximating function allows you to simulate various conditions for supporting a structure on a foundation.

Results. Expressions are obtained for determining the stresses and critical load in isotropic shallow shells resting on an elastic foundation in analytical form. The geometric nonlinearity of the structure taking into account. The strength characteristics of the base are given by a function, which allows modeling various soils and their distribution under the base of the structure. Graphs of the possible distribution of the coefficient characterizing the rate of sediment attenuation in the depth of the foundation under the base of the foundation are given. Several variants of a sharp decrease in the strength characteristics of the base under a part of the structure are showт. Dependences of the critical load for a shallow shell on the shapes and sizes of sections of the elastic foundation with reduced strength characteristics are given. Comparative graphs of stresses and critical load are shown for the foundation structures of buildings and structures in the form of slabs and shallow shells on an elastic foundation.

Conclusion. Analytical equations for stresses and critical loads determining make it possible to design and investigation the foundations of buildings and structures in the form of slabs and shallow shells on an elastic foundation. The dependencies lets to select rational geometric characteristics of structures, allowing maintaining the bearing capacity when changing the strength characteristics of the base under a part of the structure.

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