New Studies of Ukrainian Society

Soroka, Yuliya; Paretskaya, Anna

doi:10.25285/2078-1938-2018-10-2-5-8

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“…-calculates the value of displacements and unknown forces method (7,8) from the load parameter = 1; -for three cross sections, in which limit state ( = 0 , = , = /2) can occur, the values of the moment and the longitudinal force (9) are calculated, and the stress is determined 1 (10); -for each section , the loads were determined, which leads to plastic deformations in this section (…”

Section: Research Resultsmentioning

confidence: 99%

The limit state of non-hinged arch with a cross-section in the form of an idealized Ibeam

Soroka¹

2018

IJET

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Using the direct method for the calculation of trussed systems taking into account the bending moment and the longitudinal force with a simple method of load application was analysed. The simplicity and efficiency of the direct calculation method for determining the parameters of the limit load is shown. According to the developed methodology, a calculation program was compiled, which allows determining the maximum load, the sequence of transition of the system sections to the limit state. The resulting method allows to obtain the values of efforts at all stages of the calculation, as well as at the time of exhaustion of the carrying capacity. To control the correctness of the results obtained, an analytical calculation of a circular hinged arch loaded with a vertical uniformly distributed load was performed. The good convergence of the results obtained using the calculation program and the analytical method are shown. The comparison of the limit load and the efforts in the limiting state, obtained taking into account the longitudinal force and without the longitudinal force was made. Keyword-Limit load, Accounting for longitudinal force, Non-hinged arch, Calculation program I. INTRODUCTION The limit state of structures is such a condition in which their subsequent operation becomes impossible. In this paper we consider the case when the limit state is caused by the loss of the material resistance to the external load. The limit condition is also called the loss of the bearing capacity of the structure. The purpose of the calculation is to determine the limit load, its greatest load at which equilibrium is satisfied, or the smallest load at which the system is converted into a mechanism. II. PROBLEM FORMULATION The calculation of the limit state was first proposed by Galileo, but the level of science at that time did not allow for practical results. The problem of calculating the limit load was considered in the works of O. Hvozdieva [1], A. Rzhanitsyna [2], A. Pikovskoho [3], A. Chyrasa [4], and other researchers. The main attention was paid to the study of the limit state taking into account only the bending moments. Some results of the research of the longitudinal force effect on the parameter of the limit load are given in [4]-[6]. But the universal method of calculating trussed systems, where along with the bending moment longitudinal forces are taken into account, has not been developed yet. A. Aim of paper The aim of the work is to developa methodology and program for calculating the parameter of the limit load for flat trussed systems with a simple load and to justify the need to take into account in the calculations the longitudinal force. B. Materials and methods The calculation of the load-bearing capacity of a flat trussed system is performed under the following assumptions. 1. Consider a flat trussed system, which is in the condition of a simple static load. 2. The cross-section of the trussed system enters a limiting state under the influence of a combination of bending moment and longitudinal force...

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Section: Research Resultsmentioning

confidence: 99%

The limit state of non-hinged arch with a cross-section in the form of an idealized Ibeam

Soroka¹

2018

IJET

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New Studies of Ukrainian Society

Cited by 1 publication

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The limit state of non-hinged arch with a cross-section in the form of an idealized Ibeam

The limit state of non-hinged arch with a cross-section in the form of an idealized Ibeam

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