Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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Behavior of symmetrically haunched non-prismatic members subjected to temperature changes

  • Yuksel, S. Bahadir (Department of Civil Engineering, Selcuk University)
  • Received : 2007.09.17
  • Accepted : 2009.01.12
  • Published : 2009.02.20
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Abstract

When the temperature of a structure varies, there is a tendency to produce changes in the shape of the structure. The resulting actions may be of considerable importance in the analysis of the structures having non-prismatic members. Therefore, this study aimed to investigate the modeling, analysis and behavior of the non-prismatic members subjected to temperature changes with the aid of finite element modeling. The fixed-end moments and fixed-end forces of such members due to temperature changes were computed through a comprehensive parametric study. It was demonstrated that the conventional methods using frame elements can lead to significant errors, and the deviations can reach to unacceptable levels for these types of structures. The design formulas and the dimensionless design coefficients were proposed based on a comprehensive parametric study using two-dimensional plane-stress finite element models. The fixed-end actions of the non-prismatic members having parabolic and straight haunches due to temperature changes can be determined using the proposed approach without necessitating a detailed finite element model solution. Additionally, the robust results of the finite element analyses allowed examining the sources and magnitudes of the errors in the conventional analysis.

Keywords

References

  1. Al-Gahtani, H.J. (1996), "Exact stiffnesses for tapered members", J. Struct. Eng., ASCE, 122(10), 1234-1239 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:10(1234)
  2. Balkaya, C. (2001), "Behavior and modeling of nonprismatic members having T-sections", J. Struct. Eng., ASCE., 127(8), 940-946 https://doi.org/10.1061/(ASCE)0733-9445(2001)127:8(940)
  3. Balkaya, C., Kalkan, E. and Yuksel, S.B. (2006), "FE analysis and practical modeling of RC multi-bin circular silos", ACI Struct. J., 103(3), 365-371
  4. Bathe, K.J. (1996), Finite Element Procedures. Prentice Hall Publisher, NJ, USA
  5. Brown, C.J. (1984), "Approximate stiffness matrix for tapered beams", J. Struct. Eng., ASCE, 110(12), 3050-3055 https://doi.org/10.1061/(ASCE)0733-9445(1984)110:12(3050)
  6. CSI (2007a), Computer and Structures Inc. SAP2000 User's Manual. Berkeley, CA
  7. CSI (2007b), Computer and Structures Inc. ETABS User’s Manual. Berkeley, CA
  8. Eisenberger, M. (1985), "Explicit Stiffness matrices for non-prismatic members", Comput. Struct., 20(4), 715-720 https://doi.org/10.1016/0045-7949(85)90032-X
  9. Eisenberger, M. (1991), "Stiffness matrices for non-prismatic members including transverse shear", Comput. Struct., 40(4), 831-835 https://doi.org/10.1016/0045-7949(91)90312-A
  10. El-Mezaini, N., Balkaya, C. and Citipitioglu, E. (1991), "Analysis of frames with nonprismatic members", J. Struct. Eng., ASCE., 117(6), 1573-1592 https://doi.org/10.1061/(ASCE)0733-9445(1991)117:6(1573)
  11. Friedman, Z. and Kosmatka, J.B. (1992a), "Exact stiffness matrix of a non-uniform beam-I. Extension, torsion, and bending of a Bernoulli-Euler beam", Comput. Struct., 42(5), 671-682 https://doi.org/10.1016/0045-7949(92)90179-4
  12. Friedman, Z. and Kosmatka, J.B. (1992b), "Exact stiffness matrix of a non-uniform beam-II. Bending of a Timoshenko beam", Comput. Struct., 49(3), 545-555 https://doi.org/10.1016/0045-7949(93)90056-J
  13. Funk, R.R. and Wang, K.T. (1988), "Stiffness of non-prismatic members", J. Struct. Eng., ASCE, 114(2), 489-494 https://doi.org/10.1061/(ASCE)0733-9445(1988)114:2(489)
  14. Hibbeler, R. (2002), Structural analysis, Prentice-Hall, Inc., Fifth Edition, Upper Saddle River, New Jersey 07548
  15. Horrowitz, B. (1997), "Singularities in elastic finite element analysis", Concrete Int., December, 33-36
  16. Hu, X.M., Zheng, D.S. and Yang, L. (2006), "Experimental behaviour of extended end-plate composite beam-tocolumn joints subjected to reversal of loading", Struct. Eng. Mech. 24(3), 307-321 https://doi.org/10.12989/sem.2006.24.3.307
  17. Lee, C.H., Jung, J.H., Oh, M.H. and Koo, E. (2003), "Cyclic seismic testing of steel moment connections reinforced with welded straight haunch", Eng. Struct., 25(14), 1743-1753 https://doi.org/10.1016/S0141-0296(03)00176-7
  18. Maugh, L.C. (1964), Statically Indeterminate Structures: Continuous Girders and Frames with Variable Moment of Inertia, John&Wiley, New York, 202-243
  19. Medwadowski, S.J. (1984), "Nonprismatic shear beams", J. Struct. Eng., ASCE, 110(5), 1067-1082 https://doi.org/10.1061/(ASCE)0733-9445(1984)110:5(1067)
  20. Oh, S.H., Kim, Y.J. and Moon, T.S. (2007), "Cyclic performance of existing moment connections in steel retrofitted with a reduced beam section and bottom flange reinforcements", Can. J. Civ. Eng., 34(2), 199-209 https://doi.org/10.1139/l06-125
  21. Ozay, G. and Topcu, A. (2000), "Analysis of frames with non-prismatic members", Can. J. Civ. Eng., 27, 17-25 https://doi.org/10.1139/cjce-27-1-17
  22. Pampanin, S., Christopoulos, C. and Chen, T.H. (2006), "Development and validation of a metallic haunch seismic retrofit solution for existing under designed RC frame buildings", Earthq. Eng. Struct. D., 35(14), 1739-1766 https://doi.org/10.1002/eqe.600
  23. Portland Cement Association (PCA) (1958), "Beam factors and moment coefficients for members of variable cross-section", Handbook of frame constants, Chicago
  24. Shanmugam, N.E., Ng, Y.H. and Liew, J.Y.R. (2002), "Behaviour of composite haunched beam connection", Eng. Struct., 24(11), 1451-1463 https://doi.org/10.1016/S0141-0296(02)00093-7
  25. Tanaka, N. (2003), "Evaluation of maximum strength and optimum haunch length of steel beam-end with horizontal haunch", Eng. Struct., 25 (2), 229-239 https://doi.org/10.1016/S0141-0296(02)00146-3
  26. Tartaglione, L.C. (1991), Structural Analysis, McGraw-Hill, Ins., United States of America
  27. Tena-Colunga, A. (1996), "Stiffness formulation for nonprismatic beam elements", J. Struct. Eng., ASCE, 122(12), 1484-1489 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:12(1484)
  28. Timoshenko, S.P. and Young, D.H. (1965), Theory of Structures, McGraw-Hill Book Co., Inc., New York, USA
  29. Valderbilt, M.D. (1978), "Fixed-end action and stiffness matrices for non-prismatic beams", J. Am. Concr. Inst., 75(1), 290-298
  30. Weaver, W. and Gere, J.M. (1990), Matrix Analysis of Framed Structures, Van Nostrand Reinhold, New York
  31. Yuksel, S.B. (2008) "Slit connected coupling beams for tunnel form building structures", J. Struct. Des. Tall Spec., 17(3), 579-600. DOI: 10.1002/tal.367
  32. Yuksel S.B. and Arikan S. (2009), "A new set of design aids for the groups of four cylindrical silos due to interstice and internal loadings", J. Struct. Des. Tall Spec., DOI: 10.1002/tal.399

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