THE MATHEMATICAL MODEL OF DOME COVERING INDUSTRIAL FACILITY

Mikhail Kirsanov, Sergei Astahov

Abstract


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.

Keywords


Truss, deflection, induction, exact solution, Maple

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References


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DOI: https://doi.org/10.23968/2500-0055-2017-2-2-8-14

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