DOI QR코드

DOI QR Code

On the numerical assessment of the separation zones in semirigid column base plate connections

  • Baniotopoulos, C.C. (The Institute of Steel Structures, Department of Civil Engineering, Aristotle University)
  • Published : 1994.09.25

Abstract

The present paper concerns the mathematical study and the numerical treatment of the problem of semirigid connections in bolted steel column base plates by taking into account the possibility of appearance of separation phenomena on the contact surface under certain loading conditions. In order to obtain a convenient discrete form to simulate the structural behaviour of a steel column base plate, the continuous contact problem is first formulated as a variational inequality problem or, equivalently, as a quadratic programming problem. By applying an appropriate finite element scheme, the discrete problem is formulated as a quadratic optimization problem which expresses, from the standpoint of Mechanics, the principle of minimum potential energy of the semirigid connection at the state of equilibrium. For the numerical treatment of this problem, two effective and easy-to-use solution strategies based on quadratic optimization algorithms are proposed. This technique is illustrated by means of a numerical application.

Keywords

References

  1. Abdalla, K.M. and Stavroulakis, G. E. (1989), "Zur rationalen Berechnung des" Prying-Actions "-Phanomens in Schraubenver bindungen", Stahlbau. 58. 233-238.
  2. Abdalla. K.M. and Baniotopoulos, C.C. (1991), "Design sensitivity investigations of column splices in steel structures" Proc. MRSM 1st Greek National Conference on Steel Structures. Athens, June, 1991, MRSM, Athens. 120-129.
  3. Abdalla. K.M. and Baniotopoulos, C.C. (1992), "A quadratic programming approach to the analysis of steel riveted brackets under out-of-plane loading", Proc. GRASM 1st Greek National Congress on Computational Mechanics. Athens,september, 1992, University of Patras Press, Patras, 237-244.
  4. Astaneh, A., Bergsma, G. and Shen, J.H. (1992), "Behavior and design of base plates for gravity, wind and seismic loads", Proc. AISC National Steel Construction Conference. Las Vegas, June, 1992, 3 AISC. N.Y. 340-347.
  5. Baniotopoulos, C.C., Karoumbas, G. and Panagiotopoulos, P.D. (1992), "A contribution to the analysis of steel connections by means of quadratic programming techniques", Proc. ECCOMAS 1st European Conference on Numerical Methods in Engineering 92. Brussels, September, 1992, Elsevier, Amsterdam, 519-525.
  6. Baniotopoulos, C.C. and Abdalla, K.M. (1993), "Steel column-to-column connections under combined load: A quadratic programming method", Comput. Struct., 46, 13-20. https://doi.org/10.1016/0045-7949(93)90163-8
  7. Cook, R.A. and Klinger, R.E. (1992), "Ductile multiple-anchor steel-to-concrete connections", J. Struct. Div. ASCE, 118, 1645-1665. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1645)
  8. Dewolfe, J.T. (1978), "Axially loaded column base plates", J. Struct. Div. ASCE, 104, 781-794.
  9. Dewolfe, J.T. and Sansley, E.F. (1983), "Column base plates with axial loads and moments", J. Struct. Div. ASCE, 106, 2167-2184.
  10. Fichera, G. (1972), "Boundary value problems in elasticity with unilateral constraints", Encyclopaedia of Physics. VIa/2, Springer, Berlin,391-424.
  11. Fling, R.S. (1970), "Design of steel bearing plates", Engrg J. AISC, 7, 37-40.
  12. Krishnamurthy, N. (1978), "A fresh look at bolted steel end-plate behavior and design", Engrg J. AISC. 15, 39-49.
  13. Kunzi, H. and Krelle, W. (1962), Nichtlineare Programmierung, Springer, Berlin.
  14. Moreau, J.J., Panagiotopoulos, P.D. and Strang, G. (1988), Topics in Nonsmooth Mechanics, Birkhauser, Basel, Boston.
  15. Moreau, J.J. and Panagiotopoulos, P.D. (1988), Nonsmooth Mechanics and Applications, CISM Lecture Notes 302, Springer, Wien, N.Y.
  16. Murray, T.M. (1983), "Design of lightly loaded steel column base plates", Engrg J. AISC, 20, 143-152.
  17. Panagiotopoulos, P.D. (1976), "Convex analysis and unilateral contact problems", Ing. Archiv, 45, 55-68.
  18. Panagiotopoulos, P.D., Baniotopoulos, C.C. and Avdelas, A.V. (1984), "Certain propositions on the activation of yields modes in elastoplasticity and their applications to deterministic and stochastic problems", Z. Angew. Math. Mech., 45, 55-68.
  19. Panagiotopoulos, P.D. and Talslidis, D. (1980), "A linear analysis approach to the solution of certain classes of variational inequality problems in structural analysis", Int. J. Solids Struct., 16, 991-1005. https://doi.org/10.1016/0020-7683(80)90100-6
  20. Panagiotopoulos, P.D. (1985), Inequality Problems in Mechanics and applications. Convex and nonconvex energy functions, Birkhauser, Basel, Boston.
  21. Panagiotopoulos, P.D. (1993), Hemivariational inequalities. Applications in Mechanics and Engineering, Springer, Berlin.
  22. Rothert, H., Gebbeken, N. and Binder, B. (1992), "Nonlinear three-dimensional finite element contact analysis of bolted connections in steel frames", Intern. J. Num. Meth. in Engrg, 34, 303-318. https://doi.org/10.1002/nme.1620340119
  23. Stockwell Jr., F.W. (1975), "Preliminary base plate selection", Engrg J. AISC, 12, 92-99.
  24. Talaslidis, D. and Panagiotopoulos, P.D. (1982), "A linear finite element approach to the solution of variational inequalities arising in contact problems of structural dynamics", Intern. J. Num. Meth. in Engrg, 18, 1505-1520. https://doi.org/10.1002/nme.1620181006
  25. Thambiratnam, D.P. and Paramasivam, P. (1986), "Base plates under axial loads and moments", J. Struct. Div. ASCE, 112, 1166-1181. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:5(1166)
  26. Thambiratnam, D.P. and Krishnamurthy, N. (1989), "Computer analysis of column base plates", Comput. Struct., 33, 839-850. https://doi.org/10.1016/0045-7949(89)90258-7
  27. Thomopoulos, K. (1985), "Improvement of the design method for steel column base plates via an inequality approach", Civil Engrg for Pract. Design Engineers, 4, 923-933.
  28. Wald, F. (1993), "Column-base connections. A comprehensive state-of-the-art review", Proc. COBASAR, Budapest, March. 1993, Czech Technical Universityand Technical University of Budapest, Budapest, 1.1-8.1.

Cited by

  1. Steel T-Stub connections under static loading: an effective 2-D numerical model vol.44, pp.1-2, 1997, https://doi.org/10.1016/S0143-974X(97)00037-0
  2. Analysis of steel bolted connections by means of a nonsmooth optimization procedure vol.81, pp.26-27, 2003, https://doi.org/10.1016/S0045-7949(03)00311-0
  3. A gap element for three-dimensional elasto-plastic contact problems vol.61, pp.6, 1996, https://doi.org/10.1016/0045-7949(96)00111-3