- Tytuł:
-
Analityczne określenie współrzędnych węzłów konstrukcji prętowej z nieregularnego romboedru
The basis of irregular rhombohedron - Autorzy:
-
Mroczkowski, J.
Romaszkiewicz-Białas, T. - Powiązania:
- https://bibliotekanauki.pl/articles/118772.pdf
- Data publikacji:
- 2001
- Wydawca:
- Polskie Towarzystwo Geometrii i Grafiki Inżynierskiej
- Tematy:
-
konstrukcja prętowa
romboedr
kratownica przestrzenna
współrzędne
węzeł
rod structure
rhombohedron
spatial truss
coordinates
node - Opis:
- In the study formulas have been derived. permitting to find the coordinates of joints of a space truss made by the partition of the walls of a rhombic dodecahedron /irregular rhombohedron/. Constructing the cover /ceiling, roof/ of buildig structures on the basis of a rhombic dodecahedron is possible in two cases: in horizontal projection. they have the contour of a square, or a regular hexagon /Fig. 1 and 2/. Dividing the rhombic walls of a dodecahedron /Fig.3/ into ..n" equal parts, we will obtain „n" of rhombi similar /homothetic/ to and congruent with the wall. If in this lattice of rhombi we introduce parallel diagonals as cross-braces, we will receiv a truss with two lengths of truss members: the length of sides of rhombi and the length of diagonals. The aim of the study is to define the coordinates of nodes of thus defined truss for both above-mentioned contours of buildings: square and hexagonal. For an assumed room covered with the abowe-mentioned truss the length of a square or hexahedral projection has been denoted „d“ and co-ordinate system „Oxyz” successively as in Fig. 1 and 2 assumed. Naming „i“ and “j” the divided sides of rhombic walls into „n” of equal parts as in Fig. 3, each truss joint has been denoted „Wij“ /i,j=0,…n/. After transformations and on analysis of the made assumptions the coordinates of truss joints finally equal to: [pat tern] 1) for the building of a square plan [pattern] 2) for the building of a hexagon plan [pattern]
- Źródło:
-
Journal Biuletyn of Polish Society for Geometry and Engineering Graphics; 2001, 12; 35-43
1644-9363 - Pojawia się w:
- Journal Biuletyn of Polish Society for Geometry and Engineering Graphics
- Dostawca treści:
- Biblioteka Nauki
Artykuł