DOI QR코드

DOI QR Code

Cross-sectional analysis of arbitrary sections allowing for residual stresses

  • Li, Tian-Ji (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Liu, Si-Wei (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Chan, Siu-Lai (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University)
  • 투고 : 2014.07.09
  • 심사 : 2014.10.18
  • 발행 : 2015.04.25

초록

The method of cross-section analysis for different sections in a structural frame has been widely investigated since the 1960s for determination of sectional capacities of beam-columns. Many hand-calculated equations and design graphs were proposed for the specific shape and type of sections in pre-computer age decades ago. In design of many practical sections, these equations may be uneconomical and inapplicable for sections with irregular shapes, leading to the high construction cost or inadequate safety. This paper not only proposes a versatile numerical procedure for sectional analysis of beam-columns, but also suggests a method to account for residual stress and geometric imperfections separately and the approach is applied to design of high strength steels requiring axial force-moment interaction for advanced analysis or direct analysis. A cross-section analysis technique that provides interaction curves of arbitrary welded sections with consideration of the effects of residual stress by meshing the entire section into small triangular fibers is formulated. In this study, two doubly symmetric sections (box-section and H-section) fabricated by high-strength steel is utilized to validate the accuracy and efficiency of the proposed method against a hand-calculation procedure. The effects of residual stress are mostly not considered explicitly in previous works and they are considered in an explicit manner in this paper which further discusses the basis of the yield surface theory for design of structures made of high strength steels.

키워드

참고문헌

  1. Brondum-Nielsen, T. (1985), "Ultimate flexural capacity of cracked polygonal concrete sections under biaxial bending", J. Am. Concrete Inst., 82(6), 863-869.
  2. Chen, W.F. and Atsuta, T. (1972), "Interaction equations for biaxially loaded sections", J. Struct. Div., 98(5), 1035-1052.
  3. Chiorean, C. (2010), "Computerised interaction diagrams and moment capacity contours for composite steel-concrete cross-sections", Eng. Struct., 32(11), 3734-3757. https://doi.org/10.1016/j.engstruct.2010.08.019
  4. Liu, S.W., Liu, Y.P. and Chan, S.L. (2012a), "Advanced analysis of hybrid steel and concrete frames: Part 1: Cross-section analysis technique and second-order analysis", J. Construct. Steel Res., 70, 326-336. https://doi.org/10.1016/j.jcsr.2011.09.003
  5. Liu, S.W., Liu, Y.P. and Chan, S.L. (2012b), "Advanced analysis of hybrid steel and concrete frames: Part 2: Refined plastic hinge and advanced analysis", J. Construct. Steel Res., 70, 337-349. https://doi.org/10.1016/j.jcsr.2011.09.002
  6. Santathadaporn, S. and Chen, W.F. (1968), "Interaction curves for sections under combined biaxial bending and axial force", Research Report; Fritz Engineering Laboratory, Department of Civil Engineering, Lehigh University, Bethlehem, CA, USA.
  7. Wang, Y.B., Li, G.Q. and Chen, S.W. (2012a), "The assessment of residual stresses in welded high strength steel box sections", J. Construct. Steel Res., 76, 93-99. https://doi.org/10.1016/j.jcsr.2012.03.025
  8. Wang, Y.B., Li, G.Q. and Chen, S.W. (2012b), "Residual stresses in welded flame-cut high strength steel H-sections", J. Construct. Steel Res., 79, 159-165. https://doi.org/10.1016/j.jcsr.2012.07.014
  9. Yau, C.Y., Chan, S.L. and So, A.K.W. (1993), "Biaxial bending design of arbitrarily-shaped reinforcedconcrete column", ACI Struct. J., 90(3), 269-278.
  10. Yen, J.Y.R. (1991), "Quasi-newton method for reinforced-concrete column analysis and design", J. Struct. Eng., 117(3), 657-666. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:3(657)

피인용 문헌

  1. Behavior of Q690 high-strength steel columns: Part 2: Parametric study and design recommendations vol.122, 2016, https://doi.org/10.1016/j.jcsr.2016.03.027
  2. Residual stresses measurement in the butt joint welded metals using FSW and TIG methods vol.28, pp.6, 2015, https://doi.org/10.12989/scs.2018.28.6.759
  3. Effect of residual stress and geometric imperfection on the strength of steel box girders vol.34, pp.3, 2015, https://doi.org/10.12989/scs.2020.34.3.423
  4. Plastic analysis of steel arches and framed structures with various cross sections vol.38, pp.3, 2021, https://doi.org/10.12989/scs.2021.38.3.257
  5. Electro-thermo-mechanical stress analysis of smart sandwich cylindrical shell vol.40, pp.5, 2015, https://doi.org/10.12989/scs.2021.40.5.723