Steel Statically Uncertain Transverse Frames Probabilistic Calculation
Keywords:contribution, failure, probability, reliability, significance.
The aim of the work is probabilistic calculation and evaluation of steel statically uncertain frames reliability parameters and recommendations development for reducing their material content by controlling the reserves of the load bearing capacity of the.
A method for evaluating the reliability parameters of steel statically uncertain frames by all able-bodied statens is developed. Logical probabilistic methods of statically uncertain systems work are used. The probability estimation method of statically uncertain systems failure based on the boundary equilibrium method, taking into account the correlation of individual destruction schemes, is obtained. The method of calculating the significance and contribution of individual frame elements and their influence on the system failure probability as a whole is proposed. The practical method of designing steel statically unidentified frames with the use of steel statically uncertain constructions reliability coefficient Î³s is offered. The scientific novelty of the work is to develop a scheme for determining frames failure probability by estimating the working capacity. In particular, the fragile and plastic fracturing failures of the frame section are considered. The algorithms for calculating the steel frames failure probability are determined by the probabilistic method of graphical equilibrium. The steel frame separate elements significance indexes are determined. The numerical experiment on the developed programs on a PC is presented for estimation of steel frames failure probability of various sections. the of of steel statically uncertain constructions reliability coefficient Î³s is proposed for usage.
The practical value is more complete consideration of the structures and the probabilistic nature of strength and load, the use of the reliability coefficient. The possibilities of obtaining more economical frames in the design of new ones as well as reconstruction of existing buildings and facilities are identified. Based on the proposed methodology, algorithms and developed programs on the PC for the probabilistic calculation of steel statically uncertain frames for various purposes are compiled.
 Hannes L.Gauch, Montomoli Fr., Vito L.Tagarielli, â€The response of an elastic-plastic clamped beam to transverse pressure loadingâ€, International Journal of Impact Engineering, Vol.112, (2018), pp:30-40, https://doi.org/10.1016/j.ijimpeng.2017.10.005
 Coules H.E., Horne G.C.M., Abburi Venkata K., Pirling T., â€The effects of residual stress on elastic-plastic fracture propagation and stabilityâ€, Materials & Design, Vol.143, (2018), pp:131-140, https://doi.org/10.1016/j.matdes.2018.01.064
 Lin Z., Xiaochun Y., Jun Y., Hui W., Qingming D., Bo Yu, Qiming H., Huaiping D., Xiaoli Qi, Tengfei J., Xiaoyun D., â€Transient impact response analysis of an elasticâ€“plastic beamâ€, Applied Mathematical Modelling, Vol.55, (2018), pp:616-636, https://doi.org/10.1016/j.apm.2017.11.030
 Wong M.B. â€Elastic and plastic methods for numerical modelling of steel structures subject to fireâ€, Journal of Constructional Steel Research, Vol.57, No.1, (2001), pp:1-14, https://doi.org/10.1016/S0143-974X(00)00012-2
 Wu T., Tsai W., Lee J., â€Dynamic elasticâ€“plastic and large deflection analyses of frame structures using motion analysis of structuresâ€, Thin-Walled Structures, Vol.47, No.11, (2009), pp: 1177-1190, https://doi.org/10.1016/j.tws.2009.04.007
 Sitar M., Kosel F., Brojan M., â€Numerical and experimental analysis of elasticâ€“plastic pure bending and springback of beams of asymmetric cross-sectionsâ€, International Journal of Mechanical Sciences, Vol.90, (2015), pp: 77-88, https://doi.org/10.1016/j.ijmecsci.2014.11.006
 Tabbuso P., M.J. Spence S., Palizzolo L., Pirrotta A., Kareem A. â€An efficient framework for the elasto-plastic reliability assessment of uncertain wind excited systemsâ€, Structural Safety, Vol.58, (2016), pp: 69-78, https://doi.org/10.1016/j.strusafe.2015.09.001
 Zhang H., R. Ellingwood B., J.R. Rasmussen K. â€System reliabilities in steel structural frame design by inelastic analysisâ€, Engineering Structures, Vol.58, (2014), pp: 341-348, https://doi.org/10.1016/j.engstruct.2014.10.003
 Najafi L.H., Tehranizadeh M., â€Equation for achieving efficient length of link-beams in eccentrically braced frames and its reliability validationâ€, Journal of Constructional Steel Research, Vol.130, (2017), pp: 53-64, https://doi.org/10.1016/j.jcsr.2016.11.020
 Park J., Kim J., â€Fragility analysis of steel moment frames with various seismic connections subjected to sudden loss of a columnâ€, Engineering Structures, Vol.32, No.6, (2010), pp: 1547-1555, https://doi.org/10.1016/j.engstruct.2010.02.003
 Zacharenaki A. E., Fragiadakis M., Papadrakakis M., â€Reliability-based optimum seismic design of structures using simplified performance estimation methodsâ€, Engineering Structures, Vol.52, (2013), pp: 707-717, https://doi.org/10.1016/j.engstruct.2013.03.007
 W. Liu, J.R. Rasmussen K., Zhang H., â€Systems Reliability for 3D Steel Frames Subject to Gravity Loadsâ€, Structures, Vol.8, P.2, (2016), pp: 170-182, https://doi.org/10.1016/j.istruc.2016.06.002
 Le Linh A., Bui-Vinh T., Ho-Huu V., Nguyen-Thoi T., â€An efficient coupled numerical method for reliability-based design optimization of steel framesâ€, Journal of Constructional Steel Research, Vol.138, (2017), pp: 389-400, https://doi.org/10.1016/j.jcsr.2017.08.002
 Thai H.-T., Uy Br., Kang W.-H., Hicks S., â€System reliability evaluation of steel frames with semi-rigid connectionsâ€, Journal of Constructional Steel Research, Vol.121, (2016), pp: 29-39, https://doi.org/10.1016/j.jcsr.2016.01.009
 Taras A., Huemer St., â€ On the influence of the load sequence on the structural reliability of steel members and framesâ€, Structures, Vol.4, (2015), pp: 91-104, https://doi.org/10.1016/j.istruc.2015.10.007
 Yu-shu L., Guo-qiang L., â€System reliability assessment of planar steel framesâ€, Fourth International Conference on Advances in Steel Structures, Vol.1, (2005), pp: 269-275, https://doi.org/10.1016/B978-008044637-0/50039-1
 Krasnobayev V.A., Koshman S.A., Mavrina M.A. â€A Method for Increasing the Reliability of Verification of Data Represented in a Residue Number System(Article)â€, Cybernetics and Systems Analysis, Vol.50, No.6, (2014), pp: 969-976, http://doi 10.1007/s10559-014-9688-3
 Z. SadovskÃ½, M. SÃ½kora, â€Snow load models for probabilistic optimization of steel framesâ€, Cold Regions Science and Technology, Vol.94, (2013), pp: 13-20, https://doi.org/10.1016/j.coldregions.2013.06.004
 Cheng Y.M., Li D.Z., Li L., Sun Y.J., Baker R.,Yang Y., â€Chapter 4 â€“ System-Level â€œLimit equilibrium method based on an approximate lower bound method with a variable factor of safety that can consider residual strengthâ€, Computers and Geotechnics, Vol.38, No.5, (2011), pp: 623-637, https://doi.org/10.1016/j.compgeo.2011.02.010
 Huang G., Chen X., Yang Zh., Wu B. â€œExact analysis and reanalysis methods for structures with nonlinear boundary conditionsâ€, Computers & Structures, Vol.198, (2018), pp: 12-22, https://doi.org/10.1016/j.compstruc.2018.01.004
 Wang J. â€Chapter 4 â€“ System-Level â€œFail-Safeâ€â€, Safety Theory and Control Technology of High-Speed Train Operation, (2018), pp: 125-144, https://doi.org/10.1016/B978-0-12-813304-0.00004-9
 Fan W., Yang P., Ang A. H-S., Li Z. â€Analysis of complex system reliability with correlated random vectorsâ€, Probabilistic Engineering Mechanics, (2016),V.45, pp: 61-69, https://doi.org/10.1016/j.probengmech.2016.03.004
 Ditlevsen O., Madsen H.O. Structural reliability methods, Department of mechanical engineering. Technical University of Denmark maritime engineering, (2003), 323 p.
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