STOCHASTIC CALCULATON OF THE WALL OF STEEL VERTICAL SILOS
DOI:
https://doi.org/10.18372/2306-1472.1.13655Keywords:
silo, reliability, stochastic processes, particulate solids properties, coefficient of variation, coefficient of critical factorAbstract
In the article the practical questions of probabilistic calculation of sheets of the case of vertical steel tanks for storage of grain are solved. The search for the reliability function is based on the general author's technique, which is to find the characteristics of the random variable of the critical factor. In this case, the random maximum values of the horizontal pressure of the bulk material are presented in two forms - taking into account the correlation connection of its components (specific gravity, internal friction angle, ratio of lateral pressure and ratio of friction on the wall) and for the case of completely independent variables. Possible ways to simplify the Jansen-Kenen reference curve for horizontal pressure and to replace it with bilinear dependence are considered. In this case, two ways for obtaining approximating curves are presented. The tangential method is based on the construction of tangent points at the top and bottom of storage volume. For an alternative method, the construction of the ducts from these points to the midpoint of the capacity is performed .Graphical comparisons and analysis of these methods with the following argumentation of their application are presented .It is shown that the method of tangents greatly overestimates the value of horizontal pressure at the height of the capacity and leads to the greatest error in the region of the central part, on the other hand the sieve method approximates the curve more correctly.
References
Bolotin, V.V. (1982). Metody teorii veroiatnostei i teorii nadezhnosti v raschetakh sooruzhenii. Stroiizdat, 351 p. (in Russian).
Venttsel, E.S. (2000). Teoriia sluchainykh protsessov i ee inzhenernye prilozheniia. Vysshaia shkola, 383 p. (in Russian).
Pichugin, S.F. (2009). Nadezhnost stalnykh konstruktsii proizvodstvennykh zdanii. ASMI, 452 p. (in Russian).
Perelmuter, A.V. (2007). Izbrannye problemy nadezhnosti i bezopasnosti stroitelnykh konstruktsii. ACB, 254 p. (in Russian).
Ditlevsen,О., Christensen, С.and Randrup-Thomsen, S. (1995). Empirical Stochastic Silo Load Model. III: Reliability Applications. Journal of Engineering Mechanics.Vol.121, №9, pp. 987-993.
Brown, C.J. and Nielsen, J. (2005). Silos: Fundamentals of Theory, Behaviour, and Design. Е & FN Spon, 83 p.
Rotter, J.M. (2017). Structural and Functional Design of Metal Silos. CRC Press, 400 p.
Gallego, E., Gonzаlez-Montellano, C., Ramіrez, A. and Ayuga, F. (2011). A simplified analytical procedure for assessing the worst patch load location on circular steel silos with corrugated walls. Engineering Structures. Vol. 33, № 6, pp. 1940-1954.
Makhinko, N. (2018). Rozrakhunok yemnostei z ploskym dnyshchem, yak obolonok obertannia zminnoi zhorstkosti Visnyk Odeskoi derzhavnoi akademii budivnytstva ta arkhitektury. Vol.70, pp. 68-74.] (in Ukrainian).
Song, C.Y.(2004). Effects of patch loads on structural behavior of circular flat-bottomed steel silos. Thin-Walled Structures. Vol.42, №11, pp. 1519-1542.
Schulze, D. (2014). Pulver und Schüttgüter: Fließeigenschaften und Handhabung. Springer Vieweg, 526 р. (in Deutsch).
EN 1991-4: Eurocode 1: Actions on structures - Part 4: Silos and tanks. Brussels, CEN, 2006, 107 p.
