| Issue |
MATEC Web Conf.
Volume 193, 2018
International Scientific Conference Environmental Science for Construction Industry – ESCI 2018
|
|
|---|---|---|
| Article Number | 03015 | |
| Number of page(s) | 7 | |
| Section | Environmentally-Friendly Building Construction | |
| DOI | https://doi.org/10.1051/matecconf/201819303015 | |
| Published online | 20 August 2018 | |
Analytical calculation of the deflection of the lattice truss
Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, Moscow, 129337, Russia
Corresponding author: c216@ya.ru
An algorithm is given for deriving the dependence of the deflection of a planar statically determinate beam truss on the number of panels, dimensions and load. Three load cases are considered: uniform load on the lower belt, upper belt and vertical force in the middle of the span. By induction, generalizing a series of solutions for trusses with a consecutively increasing number of panels, the desired formula is obtained for the deflection and horizontal displacement of the mobile support of the truss. All transformations are performed in the system of symbolic mathematics Maple. For a sequence of coefficients of the desired formula, using the special Maple operators, homogeneous recurrent equations are constructed and solved. The coefficients found are in the form of polynomials in the number of panels. The asymptotic property of the solution is found. On the graphs of the dependence of the deflection on the number of panels and on the height, extreme points are found. The solution can be used to test the calculations obtained numerically.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (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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