A way of geometrical shaping effective shell forms

The main content of the paper is a presentation of a way of arranging individual light gauge steel shells in the three-dimensional space to obtain a structure whose general shape corresponds to a regular surface called a base surface characterized by any sign of the Gaussian curvature. The way enables us to achieve: a) an integration of the shape and locations of any number of elements of a shaped building object including walls, windows, roof shell stripes by a diversification of their inclination to the vertical direction and a horizontal plane, b) an effective structural work of the shell folds of the deformed sheets producing individual shells, c) an effective arrangement of the stripes passing crosswise the whole structure by means of the base surface, d) an effective cover of the shell strips with the shell sheets. These aims were achieved by means of auxiliary polyhedral compositions whose side and edges are close to planes and straight lines normal to the base surface as accurate as possible at the point chosen initially. In the next stage, the directrices of the stripes are determined on the planes of this controlling structure composed of the above auxiliary compositions. The models of the stripes are fixed on the base of these directrices so that each model would be contained in one controlling composition. The proposed way can be easily extended over more complicated shell structures, including segment shell structure, characterized by a great integration of any number of elements of a building object.

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[1] Abramczyk J.: Peculiar Properties of Ruled Surfaces Useful in Shaping Light Gauge Steel Shells, Beyond the Limits of Man, Proceedings of IASS 2013 Symposium, Wrocław, Poland. 2013, s. 1424-1432.

[2] Abramczyk J.: Free forms of light gauge steel shell structures. Lightweight Structures in Civil Engineering; Proc. XVIII Intern. Sem. of IASS Polish Chapter, MICRO-PUBLISHER-C-P Jan B. Obrębski, Warszawa, 2012, s. 48-53.

[3] Abramczyk J.: Multi-segment shell structures. Lightweight Structures in Civil Engineering; Proc. XVIII Intern. Sem. of IASS Polish Chapter, MICRO-PUBLISHER-C-P Jan B. Obrębski, Warszawa, 2012, s. 38-47.

[4] Abramczyk J.: Wpływ kształtu płaskich arkuszy i konstrukcji podpierających zakrzywione przekrycia z blach fałdowych na ich postać geometryczną, doctoral thesis, Rzeszów 2011.

[5] Abramczyk, J. 2014. Principles of geometrical shaping effective shell structures forms, JCEEA t. XXXI, z. 61, nr 1/2014: 48-53, Rzeszów 2014, pp. 5-21. DOI:10.7862/rb.2014.1.

[6] Anpiłogowa W. A., Dechtjar A. C.: Optimalizacja powierchnosti liniejciatych obołociek, PGiIG, Budiwielnik w. 21, Kiew, 1976, pp. 159-162.

[7] Adiłow O., Kowaljew C. H.: Modjelirowanije powierchnosttej c pomośćju setciatoj nomogrammy, PGiIG, Budiwielnik w. 20, Kiew, 1975, pp. 150-154.

[8] Bródka J., Garncarek R., Miłaczewski K.: Blachy fałdowe w budownictwie stalowym, Warszawa: Arkady, 1984.

[9] Davies J.M., Bryan E.R.: Manual of stressed skin diaphragm design, Granada, London 1982.

[10]    Kornienko L. W.: Optimalnoje parketirowanie połogich transljacionnych obołociek po hektorym napered zadannym usłowijam, PGiIG, Budiwielnik w. 25, Kiew, 1978 pp. 57-59.

[11] Michajlenko W. E.: O geometii obołociek w żywoj prirode, Sbornik Prikładnaja geometrija i inżeniernaja grafika, Wyp. 12, „Budiwielnik”, 1971.

[12] Obrębski J. B.: UNIDOM – Space Bar System. Lightweight Structures in Civil Engineering; Proc. XII Intern. Sem. of IASS Polish Chapter: 76-87, Warsaw, MICRO-PUBLISHER-C-P Jan B. Obrębski, 2006.

[13] Polański S.: Geometria wykreślna Tom 2, PWN, Warszawa 1976.

[14] Przewłocki S. (1982) “Geometria wykreślna w budownictwie”, Arkady, Warszawa.

[15] Reichhart A.: Geometrical and structural shaping of shells made of profiled metal sheets (Monograph in Polish), Oficyna Wyd. Politechniki Rzeszowskiej, Rzeszów 2002.

[16] Reichhart A.: Powłokowe formy architektoniczne z blach fałdowych. Mat. Symp. Z cyklu Nowe osiągnięcia nauki i techniki w budownictwie: Projektowanie koncepcyjne – kształtowanie konstrukcji, konstrukcje z blach fałdowych, konstrukcje cięgnowe, Oficyna Wydawnicza Politechniki Rzeszowskiej., Rzeszów 2000, s. 65-72.

[17] Trajdos T.: Matematyka dla inżynierów, WNT, Warszawa, Polska 1981.

[18] Wei-Wen Y.: Cold-Formed Steel Design, John Wiley & Sons. Inc., Canada 2000.