2020
DOI: 10.22227/1997-0935.2020.4.510-517
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Calculation of deformations of a cantilever-frame planar truss model with an arbitrary number of panels

Abstract: Introduction. By method of induction using three independent parameters (numbers of panels) formulas for deflection under different types of loading are derived. Curves based on the derived formulas are analyzed, and the asymptotic of solutions for the number of panels are sought. The frame is statically definable, symmetrical, with descending braces. The problem of deflection under the action of a load evenly distributed over the nodes of the upper chord, a concentrated load in the middle of the span, and the… Show more

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Cited by 12 publications
(4 citation statements)
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“…We set the task to determine in an analytical form the deflection of the cantilever and the horizontal displacement of the top. We use a program written in the language of computer mathematics Maple to calculate the forces in the rods [7]. Nodes and rods are numbered.…”
Section: Solution Method Truss Schemementioning
confidence: 99%
See 1 more Smart Citation
“…We set the task to determine in an analytical form the deflection of the cantilever and the horizontal displacement of the top. We use a program written in the language of computer mathematics Maple to calculate the forces in the rods [7]. Nodes and rods are numbered.…”
Section: Solution Method Truss Schemementioning
confidence: 99%
“…This allows the engineer to select the optimal variant of the designed structure in an analytical form. One of the methods for solving this problem is the induction method [7]. A number of solutions for the statics of flat arches were obtained by this method [8,9].…”
Section: Introductionmentioning
confidence: 99%
“…Here the choice was made in favour of the Maple system [21], which has a more intuitive interface. In the language of this system, there is a software for calculating forces in the truss rods [22]. We use this software to calculate the proposed coverage.…”
Section: Methodsmentioning
confidence: 99%
“…Using data on the structure and coordinates of nodes, guiding cosines of forces that make up the matrix of the system of equilibrium equations for all nodes are calculated. This system also includes support reactions as unknown values [22].…”
Section: Methodsmentioning
confidence: 99%