| Issue |
MATEC Web Conf.
Volume 265, 2019
International Geotechnical Symposium “Geotechnical Construction of Civil Engineering & Transport Structures of the Asian-Pacific Region” (GCCETS 2018)
|
|
|---|---|---|
| Article Number | 05027 | |
| Number of page(s) | 6 | |
| Section | Foundations and Underground Structures | |
| DOI | https://doi.org/10.1051/matecconf/201926505027 | |
| Published online | 30 January 2019 | |
Analytical calculation of the deflection of an externally statically indeterminate lattice truss
National Research University "Moscow Power Engineering Institute", Krasnokazarmennaya 14, Moscow, 111250, Russia
* Corresponding author: c216@ya.ru
A scheme of a statically definable truss with additional supports is proposed. Derive formulas for the dependence of the deflection of the truss against the number of panels for three types of symmetrical loads. It is shown that for definite numbers of panels the determinant of the system of equations for the equilibrium of nodes degenerates. This indicates an instant changeability of the structure. To generalize particular solutions to an arbitrary number of panels, the induction method is applied. For this purpose, in the computer mathematics system Maple linear recurrence equations are constructed for the terms of a sequence of coefficients from individual solutions. The graphs of the dependences obtained indicate a nonmonotonic character of the solutions found and the possibility of optimizing the design by choosing the number of panels.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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