Mikhail Kirsanov, Sergei Astahov


A statically determinate flat truss models the industrial facility's arch. To derive dependence of structural deflection on the number of panels in a span, the Maxwell–Mohr equation, computer mathematics system Maple and the induction method are applied. Forces in the rods are determined by the method of cutting nodes. Several cases of loading are considered: uniformly distributed along the top and bottom chords, uniformly distributed along the lateral surface, and by concentrated force. For analytical assessment of the structural strength, equations for forces in the most compressed and tensioned rods and equation for support displacement are derived. Asymptotics of the solution for the number of panels at the fixed span length, and total load is found.


Truss, deflection, induction, exact solution, Maple

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Bolotina, T.D. (2016). The deflection of the flat arch truss with a triangular lattice depending on the number of panels. Bulletin of Scientific Conferences, 4-3(8), pp.7–8. DOI: 10.17117/cn.2016.04.03

Dong, X., Kirsanov, M.N. (2016). The dependence of the deflection of the truss from the position of the load for an arbitrary number of panels. Bulletin of Scientific Conferences, 1-4 (5), pp. 6–7. DOI: 10.17117/cn.2016.01.04

Ilin, I.A, Kirsanov, M.N. (2016). The deflection and displacement of the bearings of the truss with rhombic lattice. Science Almanac, 12-2(26), pp.216–219. DOI: 10.17117/na.2016.12.02.216

Kirsanov, M.N. (2012). Maple i Maplet. Reshenie zadach mekhaniki [Maple and Maplet. Solving mechanics problems]. Saint-Petersburg: Publishing House "Lan". (in Russian)

Kirsanov, M.N. (2016a). Analysis of the buckling of spatial truss with cross lattice. Magazine of Civil Engineering, 4, pp.52–58. DOI: 10.5862/MCE.64

Kirsanov, M.N. (2016b). An inductive method of calculation of the deflection of the truss regular type. Architecture and Engineering, 1(3), pp. 14–17. DOI: 10.23968/2500-0055-2016-1-3-14-17

Ponamareva, M.A. (2016). The displacement of the support trusses with parallel belts under uniform load. Science Almanac, 4-3(18), pp. 257–259. DOI I: 10.17117/na.2016.04.03.257

Samofalov, M., Ziukas, A. (2015). Investigation of mechanical state of spatial roof from steel trusses on asymmetric building. Mechanics, 21(1), pp.11–18. DOI: 10.5755/j01.mech.21.1.10129

Shipaeva, A.S. (2016). Calculation of the deflection of girder beam loaded on the bottom flange in the system Maple. Science Almanac, 5-3(19), pp. 236–239. DOI: 10.17117/na.2016.05.03.236

Tinkov, D.V (2015). Comparative analysis of analytical solutions to the problem of truss structure deflection. Magazine of Civil Engineering, 5(57), pp. 66–73. DOI: 10.5862/MCE.57.6

Voropai, R.A. (2016). Analysis of the deflection of the regular truss with cross type lattice. Science Almanac, 4-3(18), pp.238–240. DOI: 10.17117/na.2016.04.03.238

Voropai, R.A., Kazmiruk, I.Yu. (2016). Analytical study of the horizontal stiffness



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ISSN: 2500-0055