Abstract

The problem of complex bend of multilayered rods based on concrete is considered. It is assumed that the rod of constant cross-section is of arbitrary shape and different brands of concrete are used in the cross-section of the rod layer by layer. The solution is sought by the small parameter method. The case of a complex bend of the rod pinched at both ends is considered as an example of this solution method. The distribution of bending moments and longitudinal forces in the zero and first approximations is determined.

Highlights

  • Rectilinear rods of various cross-section are widely used in different branches of mechanical engineering, aircraft and shipbuilding, in civil and industrial construction projects. They are affected by thermal, chemical and kinematic forces, and due to the production of the same type of serial elements, they are subject to increased requirements for reliable operation in short-term and long-term modes

  • The corresponding solutions for structures operating under flat bend conditions are obtained in the works [1], [2], [3], [4]

  • Comparisons of deformation diagrams constructed by approximating formulas (1), the coefficients of which are determined by the method of least squares and by the ratios (4), (5), (6), with experimental diagrams are shown in figures 3, 4

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Summary

Introduction

Rectilinear rods of various cross-section are widely used in different branches of mechanical engineering, aircraft and shipbuilding, in civil and industrial construction projects. The paper deals with structures that belong to the category of layered rods with significantly different properties in the layers, which should be determined by special experiments and taken into account in the developed calculation method. Such method should be sufficiently reliable, relatively simple and flexible to take into account a wide range of possible variations of conditions of fastening, loading and structural forms of sections. We will take into account that concrete behaves almost as linearly elastic under tension, while under compression the diagrams show significant nonlinearity even at low loading levels

Methods
Method of least squares
Results
Discussion
Full Text
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