Steel and Composite Structures

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Nonlinear analyses of steel beams and arches using virtual unit moments and effective rigidity

  • Koubova, Lenka (Department of Structural Mechanics, Faculty of Civil Engineering, VSB - Technical University of Ostrava) ;
  • Janas, Petr (Department of Structural Mechanics, Faculty of Civil Engineering, VSB - Technical University of Ostrava) ;
  • Markopoulos, Alexandros (Department of Applied Mathematics, IT4Innovations, VSB - Technical University of Ostrava) ;
  • Krejsa, Martin (Department of Structural Mechanics, Faculty of Civil Engineering, VSB - Technical University of Ostrava)
  • Received : 2017.11.02
  • Accepted : 2019.11.28
  • Published : 2019.12.10
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Abstract

This study examined geometric and physical nonlinear analyses of beams and arches specifically from rolled profiles used in mining and underground constructions. These profiles possess the ability to create plastic hinges owing to their robustness. It was assumed that displacements in beams and arches fabricated from these profiles were comparable with the size of the structure. It also considered changes in the shape of a rod cross-section and the nonlinearities of the structure. The analyses were based on virtual unit moments, effective flexural rigidity of used open sections, and a secant method. The use of the approach led to a solution for the "after-critical" condition in which deformation increased with decreases in loads. The solution was derived for static determinate beams and static indeterminate arches. The results were compared with results obtained in other experimental tests and methods.

Keywords

Acknowledgement

Supported by : VSB - Technical University of Ostrava

This project was completed with the financial support provided to VSB - Technical University of Ostrava by the Czech Ministry of Education, Youth and Sports from the budget for conceptual development of science, research, and innovations for the year 2016.

References

  1. Bradford, M.A. (2006), "In-plane nonlinear behaviour of circular pinned arches with elastic restraints under thermal loading", Int. J. Struct. Stabil. Dyn., 6(2), 163-177. https://doi.org/10.1142/S0219455406001897
  2. Grochol, P. (1996), Assessment of the functional properties of the profiles K-21, K-24 and P-28, B 00575, Scientific Research Coal Institute, a.s. Ostrava-Radvanice, Czech Republic.
  3. Heidarpour, A., Abdullah, A.A. and Bradford, M.A. (2010), "Nonlinear inelastic analysis of steel arches at elevated temperatures", J. Constr. Res., 66, 512-519. https://doi.org/10.1016/j.jcsr.2009.10.003
  4. Janas, P. (2008), "The steel arc reinforcement in the long mining works, current options its assessment and dimensioning", Proceedings of the traditional international geomechanical and geophysical scientific conference, Ostravice, Czech Republic.
  5. Janas, P., Kolos, I. and Fojtik, R. (2014), "Classification of steel mine support sections as per EC3 classification", Adv. Mater. Res., 969, 63-66. https://doi.org/10.4028/www.scientific.net/AMR.969.63
  6. Janas, P., Koubova, L. and Krejsa, M. (2016), "Load carrying capacity of steel arch reinforcement taking into account the geometrical and physical nonlinearity", Appl. Mech. Mater., 821, 709-716. https://doi.org/10.4028/www.scientific.net/AMM.821.709
  7. Janas, P., Janas, K., Koubova, L. and Krejsa, M. (2017), "Modelling of Closed Steel Supports for Underground and Mining Works", Key Eng. Mater., 754, 313-316. https://doi.org/10.4028/www.scientific.net/KEM.754.313
  8. Kala, Z., Kalina, M. and Frantik, P. (2015), "Buckling and post-buckling of the von mises planar truss", AIP Conference Proceedings, 1648, 1-4.
  9. Kolar, V. (1985), Nonlinear Mechanics, House Technology CSVTS, Ostrava, Czech Republic.
  10. Koubova, L., Janas, P. and Krejsa, M. (2016), "Nonlinear solution of steel arch supports", Key Eng. Mater., 713, 119-122. https://doi.org/10.4028/www.scientific.net/KEM.713.119
  11. Kralik, J. (2014), "A RSM approximation in probabilistic nonlinear analysis of fire resistance of technology support structures", Adv. Mater. Res., 969, 1-8. https://doi.org/10.4028/www.scientific.net/AMR.969.1
  12. Krejsa, M., Janas, P., Yilmaz, I., Marschalko, M. and Boucha, T. (2013), "The use of the direct optimized probabilistic calculation method in design of bolt reinforcement for underground and mining workings", Sci. World J., 2013. http://dx.doi.org/10.1155/2013/267593
  13. Ma, J., Liu, Y., Gao, Q. and Hou, K. (2015), "Investigating the hysteretic behaviour of concrete-filled steel tube arch by using a fiber beam element", Math. Probl. Eng., 15, 1-7. http://dx.doi.org/10.1155/2015/409530
  14. Markopoulos, A., Janas, P. and Podesva, J. (2010), "Alternative flexural rigidity of the profile P-28 with axial force", Proceedings of International Conference Modelling in Mechanics, 2010, 1-7.
  15. Mattiasson, K. (1981), "Numerical results from large deflection beam as frame problems analyzed by means of elliptic integral", Int. J. Numer. Method. Eng., 17(1), 145-153. https://doi.org/10.1002/nme.1620170113
  16. Paczesniowski, K. (2012), Test of mining steel arch support type SP 16/4, BL-2/12-50, Group of the testing and calibration laboratories of the mining general institut (GIG), Katowice, Poland.
  17. Pi, Y.L. and Bradford, M. (2010), "Effects of prebuckling analyses on determining buckling loads of pin-ended circular arches", Mech. Res. Commun., 37, 545-553. https://doi.org/10.1016/j.mechrescom.2010.07.016
  18. Pi, Y.L. and Bradford, M. (2013), "Nonlinear analysis and buckling of shallow arches with unequal rotational end restraints", Eng. Struct., 46, 615-630. https://doi.org/10.1016/j.engstruct.2012.08.008
  19. Pi, Y.L. and Trahair, N. (2000), "Inelastic lateral buckling strength and design of steel arches", Eng. Struct., 22, 993-1005. https://doi.org/10.1016/S0141-0296(99)00032-2
  20. Pi, Y.L., Bradford, M. and Uy, B. (2002), "In-plane stability of arches", Int. J. Solids Struct., 39, 105-125. https://doi.org/10.1016/S0020-7683(01)00209-8
  21. Randyskova, L. and Janas, P. (2010), "Bending test-based determination of effective cross-section stiffness", Transactions of the VSB-Technical University of Ostrava, Civil Engineering Series, 10(1), 1-8.
  22. Randyskova, L. and Janas, P. (2011), "Nonlinear solution of steel arch reinforcement with influence of passive forces", Transactions of the VSB-Technical University of Ostrava, Civil Engineering Series, 11(1), 1-6.
  23. Starossek, U., Falah, N. and Lhning, T. (2010), "Numerical analyses of the force transfer in concrete-filled steel tube", Struct. Eng. Mech., Int. J., 35(2), 241-256. https://doi.org/10.12989/sem.2010.35.2.241
  24. Xu, T., Xiang, T., Zhao, R. and Zhan, Y. (2010), "Nonlinear finite element analysis of circular concrete-filled steel tube structures", Struct. Eng. Mech., Int. J., 35(3), 315-333. https://doi.org/10.12989/sem.2010.35.3.315