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Rotational restraint of cold-formed Z-purlins given by the trapezoidal sheeting with additional stiffening ribs
DOI:
https://doi.org/10.24425/ace.2024.150974Abstract
The Eurocode 3-1-3 [1] provisions, according to which the rotational restraint of a cold-formed Z-purlin given by the sheeting has to be determined, set out guidelines for the first-generation trapezoidal sheets only in strictly defined cases, and for the second-generation sheets there are no guidelines at all. In the experimental tests presented in this paper, values of stiffness CD were determined in the case where trapezoidal sheeting with additional stiffening ribs in the middle of each trough was used. Then, the obtained values were confirmed by numerical simulations. The cases when fasteners are located in each trough next to the intermediate stiffener (the 1+1 arrangement) or near the trapezoidal sheeting webs in every second trough (the 2+0 arrangement) were analyzed. Values of stiffness CD obtained from the experiments were also compared with CD values obtained on the basis of the Eurocode 3-1-3 provisions. As a result of the analyses carried out, several changes to the Eurocode 3-1-3 provisions were proposed. Values of the rotational coefficient C100 for cases not covered by Eurocode 3-1-3 were presented and, in addition, a modification of this coefficient for the 1+1 fastener arrangement under gravity loading was proposed.References
[1] EN 1993-1-3 Eurocode 3 – Design of steel structures. Part 1-3: General rules – Supplementary rules for cold-formed members and sheeting. European Committee for Standardization, 2006.
[2] B. W. Schafer and T. Pekoz, “Computational modeling of cold-formed steel: characterizing geometric imperfections and residual stresses”, Journal of Constructional Steel Research, vol. 47, no. 3, pp. 193-210, 1998, doi: 10.1016/S0143-974X(98)00007-8.
[3] G. J. Hancock, “Design for distortional buckling of flexural members”, Thin-Walled Structures, vol. 27, no. 1, pp. 3-12, 1997, doi: 10.1016/0263-8231(96)00020-1.
[4] J. P. Papangelis, G. J. Hancock, and N. S. Trahair, “Computer design of cold-formed C- and Z-section purlins”, Journal of Constructional Steel Research, vol. 46, no. 1-3, pp. 169-171, 1998, doi: 10.1016/s0143-974x(98)00085-6.
[5] J. Bródka, M. Broniewicz, and M. Giżejowski, Kształtowniki gięte: poradnik projektanta. Arkady, 2006.
[6] ENV 1993-1-3 Eurocode 3 – Design of steel structures. Part 1-3: General rules – Supplementary rules for cold-formed members and sheeting. European Committee for Standardization, 1996.
[7] J. Lindner and T. Gregull, “Torsional restraint coefficients of profiled sheeting”, in Proc. Of International Association for Bridge and Structural Engineering, Colloquium Stockholm. Zürich, Switzerland, 1986, pp. 161-168.
[8] J. Lindner, “Stabilisierung von Trägern durch Trapezbleche”, Stahlbau, vol. 56, no. 1, pp. 9-15, 1987.
[9] J. Lindner and T. Gregull, “Drehbettungswerte für Dachdeckungen mit untergelegter Wärmedämmung”, Stahlbau, vol. 58, no. 6, pp. 173-179, 1989.
[10] J. Lindner and F. Groeschel, “Drehbettungswerte für die Profilblechbefestigung mit Setzbolzen bei unterschiedlich grossen Auflasten”, Stahlbau, vol. 65, no. 6, pp. 218-224, 1996.
[11] J. Lindner, “Restraint of beams by trapezoidally sheeting using different types of connection”, in Stability and Ductility of Steel Structures, T. Usami and Y. Itoh, Eds. Elsevier, 1998, pp. 27-36, doi: 10.1016/B978-008043320-2/50004-6.
[12] T. Vrany, “Rotační podepření tenkostênné ocelové vaznice krytinou”, Ph.D. Dissertation, Czech Technical University of Prague, Praha, 2002.
[13] T. Vrany, “Effect of loading on the rotational restraint of cold-formed purlins”, Thin-Walled Structures, vol. 44, no. 12, pp. 1287-1292, 2006, doi: 10.1016/j.tws.2007.01.004.
[14] M. Gajdzicki and J. Goczek, “Numerical Determination of Rotational Restraint of Cold-formed Z-purlin According to EC3”, International Journal of Steel Structures, vol. 15, no. 3, pp. 633-645, 2015, doi: 10.1007/s13296-015-9010-x.
[15] M. Gajdzicki and J. Goczek, “Influence of Sheet-to-purlin Fastener Properties on the Rotational Restraint of Cold-formed Z-purlins”, International Journal of Steel Structures, vol. 17, no. 2, pp. 711-721, 2017, doi: 10.1007/s13296-017-6025-5.
[16] F. Wang, H. Zhang, J. Yang, L. Bai, and C. Ren, “Numerical studies of the rotational stiffness of purlin-sheeting system”, International Journal of Steel Structures, vol. 18, no. 3, pp. 719-733, 2018, doi: 10.1007/s13296-018-0048-4.
[17] Y. Zhang, J. Xue, X. Song, and Q. Zhang, “Numerical Parametric Analysis of the Ultimate Loading-Capacity of Channel Purlins with Screw-Fastened Sheeting”, International Journal of Steel Structures, vol. 18, pp. 1801-1817, 2018, doi: 10.1007/s13296-018-0080-4.
[18] M. Gajdzicki, “Sheet-to-purlin fasteners arrangement and the value of rotational restraint of cold-formed Z-purlins”, Journal of Constructional Steel Research, vol. 151, pp. 185-193, 2018, doi: 10.1016/j.jcsr.2018.09.028.
[19] I. Balazs, J. Melcher, and A. Belica, “Experimental investigation of torsional restraint provided to thin walled purlins by sandwich panels under uplift load”, Procedia Engineering, vol. 161; pp. 818-824, 2016, doi: 10.1016/j.proeng.2016.08.718.
[20] K. Ciesielczyk and R. Studziński, “Experimental and numerical investigation of stabilization of thin-walled Z-beams by sandwich panels”, Journal of Constructional Steel Research, vol. 133, pp. 77-83, 2017, doi: 10.1016/j.jcsr.2017.02.016.
[21] H. Yang and F. Bai, “Buckling behavior of cold-formed C/Z-section purlins incorporating the effects of diaphragm and the screw location”, Advances in Structural Engineering, vol. 23, no. 6, pp. 1114-1128, 2020, doi: 10.1177/1369433219888739.
[22] C. Zhao, J. Yang, F. Wang, et al., “Rotational stiffness of cold-formed steel roof purlin-sheeting connections”, Engineering Structures, vol. 59, pp. 284-297, 2014, doi: 10.1016/j.engstruct.2013.10.024.
[23] Z. Nagy, B. Bács, A. Kelemen, A. Sánduly, Ö. Nagy, and B. Lörincz, “Rafter-purlin connection stiffness impact on the stress skin effect of corrugated sheet claddings”, Thin-Walled Structures, vol. 185, 2023, doi: 10.1016/j.tws.2023.110615.
[24] C. Ren, X. Zhao, and Y. Chen, “Buckling behavior of partially restrained cold-formed steel zed purlins subjected to transverse distributed uplift loading”, Engineering Structures, vol. 114, pp. 14-24, 2016, doi: 10.1016/j.engstruct.2016.01.048.
[25] K. Reszut, I. Szewczak, P. Różyło, and M. Guminiak, “Impact of numerical modelling of kinematic and static boundary conditions on stability of cold-formed sigma beam”, Archives of Civil Engineering, vol. 69, no. 2, pp. 311-323, 2023, doi: 10.24425/ace.2023.145269.
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