DOI QR코드

DOI QR Code

Numerical study on thin plates under the combined action of shear and tensile stresses

  • Sathiyaseelan, S. (Department of Civil Engineering, National Institute of Technology) ;
  • Baskar, K. (Department of Civil Engineering, National Institute of Technology)
  • 투고 : 2011.02.17
  • 심사 : 2012.05.17
  • 발행 : 2012.06.25

초록

Analytical (Rayleigh-Ritz method) and numerical studies are carried out and buckling interaction curves are developed for simply supported plates of varying aspect ratios ranging from 1 to 5, under the combined action of in-plane shear and tension. A multi-step buckling procedure is employed in the Finite Element (FE) model instead of a regular single step analysis in view of obtaining the buckling load under the combined forces. Both the analytical (classical) and FE studies confirm the delayed shear buckling characteristics of thin plate under the combined action of shear and tension. The interaction curves are found to be linear and are found to vary with plate aspect ratio. The interaction curve developed using Rayleigh-Ritz method is found to deviate in an increasing trend from that of validated FE model as plate aspect ratio is increased beyond value of 1. It is found that the observed deviation is due to the insufficient number of terms that is been considered in the assumed deflection function of Rayleigh-Ritz method and a convergence study is suggested as a solution.

키워드

참고문헌

  1. Alinia, M.M. and Dastfan, M. (2006), "Behavior of thin steel plate shear walls regarding frame members", J. Constr. Steel Res., 62, 730-738. https://doi.org/10.1016/j.jcsr.2005.11.007
  2. Alinia, M.M., Gheitasi, A. and Erfani, S. (2009), "Plastic shear buckling of unstiffened stocky plates", J. Constr. Steel Res., 65, 1631-1643. https://doi.org/10.1016/j.jcsr.2009.04.001
  3. Bulson, P.S. (1970), The Stability of Flat Plates, Chatto & Windus, London.
  4. Brown, C.J. and Yettram, A.L. (1986), "The elastic stability of square perforated plates under combinations of bending, shear and direct load", Thin Wall. Struct., 4, 239-246. https://doi.org/10.1016/0263-8231(86)90005-4
  5. Brown, C.J., Yettram, A.L. and Burnett, M. (1987), "Stability of plates with rectangular holes", J. Struct. Eng., 113(5), 1111-1116. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:5(1111)
  6. Baskar, K. and Shanmugam, N.E. (2003), "Steel-concrete composite plate girders subject to combined shear and bending", J. Constr. Steel Res., 59, 531-557. https://doi.org/10.1016/S0143-974X(02)00042-1
  7. Chandrashekhara, K. (2001), Theory of Plates, 1st Ed., University Press, India.
  8. Cook, R.D., Malkus, D.S., Plesha, M.E. and Witt, R.J. (2004), "Concepts and applications of finite element analysis", 4th Ed., Wiley, India.
  9. Chen, Y.Z., Lee, Y.Y., Li, Q.S. and Guo, Y.J. (2009), "Concise formula for the critical buckling stresses of an elastic plate under biaxial compression and shear", J. Constr. Steel Res., 65, 1507-1510. https://doi.org/10.1016/j.jcsr.2009.02.006
  10. Elbridge Z. Stowell and Edward B. Schwartz (1943), "Critical stress for an infinitely long plate with elastically restrained edges under combined shear and direct stress", NACA - Advance Restricted Report No :3X13.
  11. EL-Sawy, K.M. and Nazmy, A.S. (2001), "Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes", Thin Wall. Struct., 39, 983-998. https://doi.org/10.1016/S0263-8231(01)00040-4
  12. EL-Sawy, K.M. and Martini, M.I. (2007), "Elastic stability of bi-axially loaded rectangular plates with a single circular hole", Thin Wall. Struct., 45, 122-133. https://doi.org/10.1016/j.tws.2006.11.002
  13. Galambos, T.V. (1998), Guide to Stability Design Criteria for Metal Structures, 2nd Ed., John Wiley, Newyork.
  14. IS:11384 (1985), Code of Practice for Composite Construction in Structural Steel and Concrete, Bureau of Indian Standards, India.
  15. Iyengar, N.G.R. (1986), Structural Stability of Columns and Plates, East-West Press, India.
  16. Jaberzadeh, E. and Azhari, M. (2009), "Elastic and inelastic local buckling of stiffened plates subjected to nonuniform compression using the Galerkin method", Appl. Math. Model., 33, 1874-1885. https://doi.org/10.1016/j.apm.2008.03.020
  17. Lee, S.C., Davidson, J.S. and Yoo, C.H. (1996), "Shear buckling coefficients of plate girder web panels", Comput. Struct., 59(5), 189-795.
  18. McKenzie, K.I. (1963), "The buckling of a rectangular plate under combined biaxial compression, bending and shear", The Aeronautical Quarterly, August.
  19. Maiorana, E., Pellegrino, C. and Modena, C. (2009), "Elastic stability of plates with circular and rectangular holes subjected to axial compression and bending moment", Thin Wall. Struct., 47, 241-255. https://doi.org/10.1016/j.tws.2008.08.003
  20. Moen, C.D. and Schafer, B.W. (2009), "Elastic buckling of plates with holes in compression or bending", Thin Wall. Struct., 47, 1597-1607. https://doi.org/10.1016/j.tws.2009.05.001
  21. Narayanan, R. and Der Avanessian, N.G.V. (1984), "Elastic buckling of perforated plates under shear", Thin Wall. Struct., 2, 51-73. https://doi.org/10.1016/0263-8231(84)90015-6
  22. Naik, R.T. and Moen, C.D. (2009), "Elastic buckling studies of thin plates and cold-formed steel members in shear", Research Article.
  23. Paik, J.K. and Thayamballi, A.K. (2000), "Buckling strength of steel plating with elastically restrained edges", Thin Wall. Struct., 37, 27-55. https://doi.org/10.1016/S0263-8231(00)00009-4
  24. Paik, J.K. (2007), "Ultimate strength of perforated steel plates under edge shear loading", Thin Wall. Struct., 45, 301-306. https://doi.org/10.1016/j.tws.2007.02.013
  25. Pellegrino, C., Maiorana, E. and Modena, C. (2009), "Linear and non-linear behavior of steel plates with circular and rectangular holes under shear loading", Thin Wall. Struct., 47, 607-616. https://doi.org/10.1016/j.tws.2008.11.001
  26. Stein, M. and Neff, J. (1947), "Buckling stresses of simply supported rectangular flat plates in shear", NACA: technical note-1222.
  27. Shahabian, F. and Roberts, T.M. (1999), "Buckling of slender web plates subjected to combinations of in-plane loading", J. Constr. Steel Res., 51, 99-121. https://doi.org/10.1016/S0143-974X(99)00020-6
  28. Shimizu, S. (2007), "Tension buckling of plate having a hole", Thin Wall. Struct., 45, 827-33. https://doi.org/10.1016/j.tws.2007.08.033
  29. Timoshenko, S.P. and Gere, J.M. (1985), Theory of Elastic Stability, 2nd Ed., McGraw Hill, Singapore.
  30. Xiang, Y., Wang, C.M., Wang, C.Y. and Su, G.H. (2003), "Ritz buckling analysis of rectangular plates with internal hinge", J. Eng. Mech.-ASCE, 129(6), 683-688. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:6(683)
  31. Yettram, A.L. and Brown, C.J. (1985), "The elastic stability of square perforated plates", Comput. Struct., 21(6), 1267-1272. https://doi.org/10.1016/0045-7949(85)90180-4
  32. Yettram, A.L. and Brown, C.J. (1986), "The elastic stability of square perforated plates under biaxial loading", Comput. Struct., 22(4), 589-594. https://doi.org/10.1016/0045-7949(86)90010-6
  33. ABAQUS, ABAQUS/Standard Version 6.9, Set of User and Reference Manuals, Dassault Systemes, Simulia Corp., Providence, RI, USA.

피인용 문헌

  1. Influence of the presence of defects on the stresses shear distribution in the adhesive layer for the single-lap bonded joint vol.53, pp.5, 2015, https://doi.org/10.12989/sem.2015.53.5.1017
  2. Web buckling behavior of FRP composite box-beams: Governing parameters and their effect vol.6, pp.1, 2012, https://doi.org/10.12989/acd.2021.6.1.55