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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Format: | Article |
Language: | English |
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Peter the Great St. Petersburg Polytechnic University
2016-04-01
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Series: | Инженерно-строительный журнал |
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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 |
collection | DOAJ |
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. |
first_indexed | 2024-12-19T05:23:31Z |
format | Article |
id | doaj.art-ba503c50eb77428ba1933b081d319563 |
institution | Directory Open Access Journal |
issn | 2071-4726 2071-0305 |
language | English |
last_indexed | 2024-12-19T05:23:31Z |
publishDate | 2016-04-01 |
publisher | Peter the Great St. Petersburg Polytechnic University |
record_format | Article |
series | Инженерно-строительный журнал |
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 |
work_keys_str_mv | AT dvtinkov theoptimumgeometryoftheflatdiagonaltrusstakingintoaccountthelinearcreep AT dvtinkov optimumgeometryoftheflatdiagonaltrusstakingintoaccountthelinearcreep |