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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Manapov A.Z. – candidate of technical sciences, associate professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Galimshin R.A. – candidate of technical sciences, associate professor Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1
Title of the articleStatistical modeling of work of wooden structures’ elements
Abstract.On an example of wooden structures’ element stretched by an axial thrust the influence of dispersion of calculated power and geometrical parameters, and also the factors considering duration of the load and the influence on the durability of defects, and the sizes of element on parities pressure – a weight strength– is considered. The problem is solved by numerical statistical modeling with the use of Monte-Carlo method. At the first stage of decision the parameters of efforts distribution, geometrical sizes, factors considering features of wooden structures work, lumber material weight strength – a pine of 1 grade – have been defined. At the second stage a generation of set of random numbers of the adopted distribution function is executed and at the third stage, using the stress functions, the statistical set of stresses, which is comparable to the statistical weight strength set is obtained. Statistical modeling results of work of wooden structures’ element stretched by an axial thrust have shown that for the accepted conditions of modeling, namely duration of one cycle in 100 minutes; settlement duration of the operation 20 years, total of designs elements 10000 at an overload of an element concerning a load-carrying capacity defined by technique SNiP II-25-80 on 50, 75, 100 % excess of pressure over weight strength is not observed. At an overload of an element concerning a load-carrying capacity defined by technique SNiP II-25-80 on 125 % excess of pressure over weight strength in 3 cases on 10000 elements for 20 years operation takes place.
Keywords.Pressure, durability, statistical modeling, method of Monte-Carlo.
For citations:Manapov A.Z., Galimshin R.A. Statistical modeling of work of wooden structures’ elements // Izvestiya KGASU. 2011. №4(18) P.171-176.


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