Error
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering

DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

Mathematical calculation model for geometrical parameters of timber mesh design with orthogonal grid

Vestnik MGSU 12/2014
  • Loktev Dmitriy Aleksandrovich - Siberian Federal University (SibFU) engineer, Department of Building Structures and Control Systems, Civil Engineering Institute, Siberian Federal University (SibFU), 79 pr. Svobodnyy, Krasnoyarsk, 660041, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Inzhutov Ivan Semenovich - Siberian Federal University (SibFU) Doctor of Technical Sciences, Professor, Department of Building Structures and Control Systems, Director, Civil Engineering Institute, Siberian Federal University (SibFU), 79 pr. Svobodnyy, Krasnoyarsk, 660041, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Lyakh Nikolay Ivanovich - Siberian Federal University (SibFU) Candidate of Technical Sciences, Associate Professor, Department of Building Structures and Control Systems, Civil Engineering Institute, Siberian Federal University (SibFU), 79 pr. Svobodnyy, Krasnoyarsk, 660041, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Zhadanov Viktor Ivanovich - Orenburg State University” (OSU) Doctor of Technical Sciences, Professor, Chair, Department of Building Structures, Orenburg State University” (OSU), 13 prospekt Pobedy, Orenburg, 460018, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Ermolin Vladimir Nikolaevich - Siberian State Technological University (SibGTU) Doctor of Technical Sciences, Professor, Chair, Department of Composite Materials Technology and Wood Science, Siberian State Technological University (SibGTU), 82 prospect Mira, Krasnoyarsk, 660049, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 60-69

Mesh cover design, a multi-element design, which ensures the correct geometrical arrangement of the elements, is a very important task. The purpose of the given article is the development of a mathematical model for selecting the geometric parameters of wooden arches with mesh orthogonal grid with different input data. In this article three variants of design were observed. The main differences between them are in the relative position of longitudinal and transverse components. When performing static calculations of such designs in order to achieve their subsequent correct assembly, the following location conditions were observed: all the items must strictly match with each other without a gap and without overlap. However, these conditions must be met for any ratio of height to the arch span, the number of longitudinal members and the thickness of longitudinal members. Inverse problems also take place. In this case, the geometric calculation is not possible to vary the cross-section elements, and the stress-strain state of the cover is provided by varying the pitch of the transverse arches of the elements, on which the geometric calculation has no influence. All this determines the need for universal mathematical models describing any geometrical parameter of the designs needed for their geometrical calculation. The basic approach for the development of such models is the use of the known trigonometric formulas, giving a complete description of the desired geometry of the arch. Finally three transcendental equations were obtained, the solution algorithm of which using Newton’s method is presented in the MathCAD. The complexity of solving such equations using the proposed algorithm in the MathCAD is reduced to a minimum.

DOI: 10.22227/1997-0935.2014.12.60-69

References
  1. Zhang Z., Ding J., Wang S. Structural System Selection and Structural Design for a Giant Ellipsoid Large-span Steel Roof. Shells, Membranes and Spatial Structures: Footprints : IASS-SLTE 2014 Symposium, Brasilia, Brazil. Short abstracts. Reyalando M.L.R.F., Brasil and Ruy M.O. Pauletti (eds.). Pp. 6—7. Available ay: http://www.iass2014.org/wp-content/uploads/2014/09/short-abstracts.pdf. Date of access: 25.11.2014.
  2. Yan Y., Zhang Q. Shape Optimization of Free-form Single-layer Reticulated Shells Based on Ansys. Shells, Membranes and Spatial Structures: Footprints : IASS-SLTE 2014 Symposium, Brasilia, Brazil. Short abstracts. Reyalando M.L.R.F., Brasil and Ruy M.O. Pauletti (eds.). Pp. 12. Available at: http://www.iass2014.org/wp-content/uploads/2014/09/shortabstracts.pdf. Date of access: 25.11.2014.
  3. Zhuravlev A.A., Muro G.E. Novoe konstruktivnoe reshenie pokrytiya sistemy Tsolingera [New Design Solution for Roof of Zolinger System]. Inzhenernyy vestnik Dona [Engineering Journal of Don]. 2011, vol. 18, no. 4, pp. 523—527. (In Russian)
  4. Wester T. Structures of Nature in Modern Buildings. Seysan Kenkyu = Mon. J. Inst. Univ. Tokyo. 1989, vol. 41, no. 9, pp. 694—700.
  5. Miryaev B.V. Optimizatsiya geometricheskoy skhemy setchatykh kupolov, obrazovannykh na osnove ikosaedra [Optimization of Geometrical Scheme of Mesh Domes Formed on the Basis of Icosahedron]. Regional’naya arkhitektura i stroitel’stvo [Regional Architecture and Construction]. 2012, no. 3, pp. 122—125. (In Russian)
  6. Zhadanov V.I. Issledovanie osobennostey napryazhenno-deformirovannogo sostoyaniya krupnorazmernykh kleefanernykh plit s uchetom ikh konstruktivnykh osobennostey [Investigation of the Stress-strain State Features of Large-scale Cement-Veneer Plates in Accordance with their Design Features]. Sovremennye stroitel’nye konstruktsii iz metalla i drevesiny : sbornik nauchnykh trudov [Modern Constructions of Metal and Wood: Collection of Scientific Articles]. Odessa, OGASA Publ., 2011, pp. 64—67. (In Russian)
  7. Zhadanov V.I., Lisov S.V., Ukrainchenko D.A. Ob effektivnosti kontseptual’nogo podkhoda v proektirovanii derevyannykh zdaniy i sooruzheniy [Effectiveness of a Conceptual Approach in the Design of Wooden Buildings and Structures]. Sovremennye stroitel’nye konstruktsii iz metalla i drevesiny : sbornik nauchnykh trudov [Modern Constructions of Metal and Wood: Collection of Scientific Articles]. Odessa, OGASA Publ., 2010, no. 14, part. 1, pp. 93—97. (In Russian)
  8. Zhadanov V.I., Tisevich E.V., Kechin A.A. Algoritmy poiska optimal’nogo konstruktivnogo resheniya rebristykh kleefanernykh paneley [Algorithms for Finding the Optimal Design Solution of Ribbed Cement-Veneer Panels]. Aktual’nye problemy stroitel’nogo i dorozhnogo kompleksov : materialy Mezhdunarodnoy nauchno-prakticheskoy konferentsii (Yoshkar-Ola, 4—6 iyunya 2013 goda) [Current Problems of Building and Road Systems: Proceedings of the International Scientific-Practical Conference (Yoshkar-Ola, June, 4—6, 2013]. Yoshkar-Ola, PGTU Publ., 2013, pp. 120—123. (In Russian)
  9. Lelik Ya.R., Berlach O.P. Raschet geometricheskikh parametrov pri proektirovanii opalubki dlya prostranstvennykh krivolineynykh poverkhnostey [Calculation of Geometric Parameters in the Design of Formwork for Spatial Curved Surfaces]. Sovremennoe promyshlennoe i grazhdanskoe stroitel’stvo [Modern Industrial and Civil Construction]. 2010, vol. 6, no. 4, pp. 223—228. (In Russian)
  10. Artemov V.V., Sadetov T.S., Kruglaya N.V. Opredelenie koordinat uzlov krivolineynykh reber somknutogo setchatogo svoda na pryamougol’nom plane [Determination of the Nodes Coordinates of Curved Edges of a Closed Net Vault on a Rectangular Plan]. Legkie stroitel'nye konstruktsii : sbornik nauchnykh trudov [Lightweight Building Structures : Collection of Scientific Articles]. Rostov on Don, RGSU Publ., 2003, pp. 129—137. (In Russian)
  11. Sadetov T.S., Artemov V.V., Kruglaya N.V. Opredelenie gabaritnykh razmerov nestandartnykh kosyakov v somknutykh svodakh [Determination of the Dimensions of Non-standard Stocks in Closed Vaults]. Legkie stroitel’nye konstruktsii [Lightweight Building Structures]. Rostov on Don, RGSU Publ., 2004, pp. 112—117. (In Russian)
  12. Lebed’ E.V., Atkin A.V., Romashkin V.N. Realizatsiya komp’yuternogo geometricheskogo modelirovaniya prostranstvennykh sterzhnevykh sistem [Implementation of Computer Geometric Modeling of Spatial Rod Systems]. Vestnik RUDN. Seriya: Inzhenernye issledovaniya [Bulletin of Peoples’ Friendship University of Russia. Series: Engineering Research]. 2010, no. 2, pp. 141—150. (In Russian)
  13. Loktev D.A., Inzhutov I.S., Rozhkov A.F. Formoobrazovanie i konstruirovanie derevyannykh setchatykh svodov s ortogonal’noy setkoy dlya pokrytiy zdaniy i sooruzheniy [Shaping and Designing of Wooden Mesh Arches with Orthogonal Grid for Roofi ng Buildings and Structures]. Izvestiya vysshikh uchebnykh zavedeniy. Stroitel’stvo [News of the Institutions of Higher Education. Construction]. 2013, no. 11—12 (659—660), pp. 73—81. (In Russian)
  14. Karel’skiy A.V., Labudin B.V., Melekhov V.I. Trebovaniya k nadezhnosti i bezopasnoy ekspluatatsii bol’sheproletnykh kleenykh derevyannykh konstruktsiy [Requirements for Reliability and Safe Operation of Span Glued Wooden Structures]. Izvestiya vysshikh uchebnykh zavedeniy. Lesnoy zhurnal [News of the Institutions of Higher Education. Forest Journal]. 2012, no. 3, pp. 143—147. (In Russian)
  15. Stetskiy S.V., Chen Guanlong. Optimal’nye konstruktivnye, planirovochnye i geometricheskie resheniya svetovykh kolodtsev dlya mnogoetazhnykh proizvodstvennykh zdaniy [Optimal Design, Planning and Geometric Solutions for Light Wells For Multi-Storey Industrial Buildings]. Promyshlennoe i grazhdanskoe stroitel’stvo [Industrial and Civil Engineering]. 2013, no. 12, pp. 84—86. (In Russian)
  16. Chernysh N.D., Koren’kova G.V., Mityakina N.A. O sokhranenii traditsiy v khramostroitel’stve [On Preservation of Traditions in the Construction of Temples]. Tekhnicheskie nauki — ot teorii k praktike : materialy XXIII Mezhdunarodnoy zaochnoy nauchno-prakticheskoy konferentsii 10 iyulya 2013 goda [Technical Sciences — from Theory to Practice : Materials of the 23rd International Distance Science and Practice Conference, July 10, 2013]. Novosibirsk, Izdatelstvo «SibAK» Publ., 2013, pp. 86—91. (In Russian)
  17. Korotich A.V. Strukturno-kompozitsionnoe formoobrazovanie obolochek v sovremennoy arkhitekture [Structural and Compositional Shaping of Shells in Modern Architecture]. Gradostroitel’stvo [Urban Development]. 2012, no. 4 (20), pp. 47—51. (In Russian)
  18. Chernykh O.A. Transtsendentnye uravneniya s parametrami i metody ikh resheniya [Transcendental Equations with Parameters and Methods of their Solution]. Informatsionno-kommunikatsionnye tekhnologii v pedagogicheskom obrazovanii [Information and Communication Technologies in Teacher Education]. 2012, no. 03 (18), pp. 49—65. (In Russian)
  19. Kalent’ev E.A., Tarasov V.V., Novikov V.N. Utochnenie resheniya transtsendentnogo uravneniya pri raschete geometrii kanatov lineynogo kasaniya [Clarification of the Solution of Transcendental Equation when Calculating the Ropes Geometry of Linear Touch]. Stroitel’naya mekhanika i raschet sooruzheniy [Construction Mechanics and Calculation of Structures]. 2010, no. 4, pp. 12—14. (In Russian)
  20. Ruckert J., Schleicher D. On Newton’s Method for Entire Functions. Journal of the London Mathematical Society. Oxford University press, London, 2007, vol. 76, no. 3, pp. 659—676. DOI: http://dx.doi.org/10.1112/jlms/jdm102.

Download

Results 1 - 1 of 1