The optimum geometry of the flat diagonal truss taking into account the linear creep

We have found the exact analytical expressions for the optimal geometry and minimum mass of a diagonal truss beam made of a material with properties of linear creep. We have derived simple analytical expressions for the deflection of the optimal weight of the truss. The deflection of the truss was c...

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Main Author: D.V. Tinkov
Format: Article
Language:English
Published: Peter the Great St. Petersburg Polytechnic University 2016-04-01
Series:Инженерно-строительный журнал
Subjects:
Online Access:http://engstroy.spbstu.ru/eng/index_2016_01/03.html
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author D.V. Tinkov
author_facet D.V. Tinkov
author_sort D.V. Tinkov
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description We have found the exact analytical expressions for the optimal geometry and minimum mass of a diagonal truss beam made of a material with properties of linear creep. We have derived simple analytical expressions for the deflection of the optimal weight of the truss. The deflection of the truss was calculated by the Maxwell - Mohr formula. We found solution generalizations for any number of panels by induction. The research was carried out with the support of the Maple computer mathematics system in symbolic form. The multifunctional Lira software package intended for the design and numerical calculation of buildings and engineering structures was used for comparing and testing the solutions.
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spelling doaj.art-ba503c50eb77428ba1933b081d3195632022-12-21T20:34:26ZengPeter the Great St. Petersburg Polytechnic UniversityИнженерно-строительный журнал2071-47262071-03052016-04-0161253210.5862/MCE.61.3The optimum geometry of the flat diagonal truss taking into account the linear creepD.V. TinkovWe have found the exact analytical expressions for the optimal geometry and minimum mass of a diagonal truss beam made of a material with properties of linear creep. We have derived simple analytical expressions for the deflection of the optimal weight of the truss. The deflection of the truss was calculated by the Maxwell - Mohr formula. We found solution generalizations for any number of panels by induction. The research was carried out with the support of the Maple computer mathematics system in symbolic form. The multifunctional Lira software package intended for the design and numerical calculation of buildings and engineering structures was used for comparing and testing the solutions.http://engstroy.spbstu.ru/eng/index_2016_01/03.htmlweightdeflectionanalytical solutioninductiondiagonal trusslinear creep
spellingShingle D.V. Tinkov
The optimum geometry of the flat diagonal truss taking into account the linear creep
Инженерно-строительный журнал
weight
deflection
analytical solution
induction
diagonal truss
linear creep
title The optimum geometry of the flat diagonal truss taking into account the linear creep
title_full The optimum geometry of the flat diagonal truss taking into account the linear creep
title_fullStr The optimum geometry of the flat diagonal truss taking into account the linear creep
title_full_unstemmed The optimum geometry of the flat diagonal truss taking into account the linear creep
title_short The optimum geometry of the flat diagonal truss taking into account the linear creep
title_sort optimum geometry of the flat diagonal truss taking into account the linear creep
topic weight
deflection
analytical solution
induction
diagonal truss
linear creep
url http://engstroy.spbstu.ru/eng/index_2016_01/03.html
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