Ruszt o sześciokątnej siatce prętów
A grill of hexagonal lattice rods The subject of this paper is an analysis of a flat grill consisting of direct elastic rods forming in a plan the lattice of equilateral hexagonals. The grill is loaded in joints with forces perpendicular to the plane of the construction and with vector moments lyin...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research
1971-09-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/3354 |
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| _version_ | 1839633237646770176 |
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| author | Witold GUTKOWSKI Jan OBRĘBSKI |
| author_facet | Witold GUTKOWSKI Jan OBRĘBSKI |
| author_sort | Witold GUTKOWSKI |
| collection | DOAJ |
| description | A grill of hexagonal lattice rods
The subject of this paper is an analysis of a flat grill consisting of direct elastic rods forming in a plan the lattice of equilateral hexagonals. The grill is loaded in joints with forces perpendicular to the plane of the construction and with vector moments lying in this plane. In the entire grill appear only two kinds of joints, every one of which can be obtained by removal of the other joint and turning it through about 180°. For solution of the problem was chosen a repeated element such that the equilibrium equation simultaneously describe the state in both kinds of joints. This was made possible by the consequent description of geometrical structure and by introducing the differential equations for Boole's operators with function exponents. The work results in solution of the equilibrium equations of a joint, subject to the simplification that the rigidity of the rods for twisting is equal to 0.
Also given are numerical examples.
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| format | Article |
| id | doaj-art-7b917ca3d9cc4d24838fdf9e23c3e078 |
| institution | Matheson Library |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 1971-09-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-7b917ca3d9cc4d24838fdf9e23c3e0782025-07-11T05:00:59ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711971-09-01193Ruszt o sześciokątnej siatce prętówWitold GUTKOWSKI0Jan OBRĘBSKI1Instytut Podstawowych Problemow Techniki PANInstytut Podstawowych Problemow Techniki PANA grill of hexagonal lattice rods The subject of this paper is an analysis of a flat grill consisting of direct elastic rods forming in a plan the lattice of equilateral hexagonals. The grill is loaded in joints with forces perpendicular to the plane of the construction and with vector moments lying in this plane. In the entire grill appear only two kinds of joints, every one of which can be obtained by removal of the other joint and turning it through about 180°. For solution of the problem was chosen a repeated element such that the equilibrium equation simultaneously describe the state in both kinds of joints. This was made possible by the consequent description of geometrical structure and by introducing the differential equations for Boole's operators with function exponents. The work results in solution of the equilibrium equations of a joint, subject to the simplification that the rigidity of the rods for twisting is equal to 0. Also given are numerical examples. https://et.ippt.pan.pl/index.php/et/article/view/3354 |
| spellingShingle | Witold GUTKOWSKI Jan OBRĘBSKI Ruszt o sześciokątnej siatce prętów Engineering Transactions |
| title | Ruszt o sześciokątnej siatce prętów |
| title_full | Ruszt o sześciokątnej siatce prętów |
| title_fullStr | Ruszt o sześciokątnej siatce prętów |
| title_full_unstemmed | Ruszt o sześciokątnej siatce prętów |
| title_short | Ruszt o sześciokątnej siatce prętów |
| title_sort | ruszt o szesciokatnej siatce pretow |
| url | https://et.ippt.pan.pl/index.php/et/article/view/3354 |
| work_keys_str_mv | AT witoldgutkowski rusztoszesciokatnejsiatcepretow AT janobrebski rusztoszesciokatnejsiatcepretow |