Abstract
In this study, the influences of the P-Δ effect on the behavior of middle-rise unbraced steel frames and the validity of factor B2 were investigated using the analytical approach to suggest the basic design information on the P-Δ effect to the structural engineers. The refined plastic hinge method with an arc length algorithm was applied to the two-dimensional second-order inelastic analysis which can cover the post-maximum load behavior. Four types of middle-rise unbraced steel frames were selected as the subjects of the analysis. The main parameters of the analysis were the shape and the scale of the frame, the stiffness of the beam and the first-floor column, and the axial load ratio of the first-floor column. As revealed by the analytical research that was conducted, the P-Δ effect affects the behavior of middle-rise unbraced steel frames and the axial load, and the stiffness of the first-floor column are the main factors which govern the P-Δ effect. In addition, factor B2 is not applicable to the frame that has not clear story concept and it does not properly estimate the P-Δ effect of an unbraced frame when nonlinear-inelastic behavior is induced. Thus, reasonable guidelines are needed for the use of factor B2.
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References
AIK (2009).Korean building code for structures. Architectural Institute of Korea (in Korean).
Chan, S. L. and Zhou, Z. H. (2000). “Non-linear integrated design and analysis of skeletal structures by 1 element per member.”Engineering Structures, 22(3), pp. 246–257.
Chen, W. F. and Chan, S. L. (1995). “Second-order inelastic analysis of steel frames using element with midspan and end spring.”Journal of Structural Engineering, ASCE, 121(3), pp. 530–541.
Chen, W. F. and Lui, E. M. (1991).Stability design of steel frames. CRC Press, USA.
Chen, W. F. and Sohal, I. (1995).Plastic design and second-order analysis of steel frames. Springer-Verlag, USA.
Cheong-Siat-Moy, F. (1972). “Consideration of secondary effects in frame design.”Journal of Stru. Div. ASCE, 103(ST10), pp. 2005–2019.
Crisfield, M. A. (1983). “An Arc length method that includes line searches and accelerations.”International Journal for Numerical Methods in Engineering, 19(9), pp. 1269–1289.
Galambos, T. V. (1968).Structural members and frames. Prentice Hall, USA.
Galambos, T. V. (1998).Guide to the stability design criteria for metal structures, 5 th Edition. John Wiley & Sons, Inc., USA.
Kim, H. D. and Lee, M. J. (2001). “An experimental study on the P-Δ influence of weak-beam unbraced frames.”Journal of the Korean Society of Steel Construction, 13(4), pp. 363–372 (in Korean).
Kim, H. D. and Lee, M. J. (2002). “The influence of the P-Δ effects on the behavior of unbraced frames.”Proc. ISSS 2002. KSSC, Korea, pp. 333–344.
Kim, H. D. (2002).P-Δ Effects in the case of unbraced steel frames. Doctoral dissertation, Chungang University, Korea (in Korean).
Kim, H. D. and Lee, M. J. (2009). “Experimental investigation of the P-Δ effect and factor B2 of low-rise unbraced steel frames.”International Journal of Steel Structures, 9(2), pp. 131–141.
Kim, S. E. and Chen, W. F. (1998).LRFD steel design using advanced analysis. CRC Press, USA.
Kim, T. J. and Jo, J. S. (2007).Design manual for low-rise steel buildings. Hyundai Steel, Korea.
LeMessurier, W. J. (1972). “A practical method of second-order analysis (Part 2: Rigid Frames).”Engineering Journal, AISC, 14(2), pp. 89–96.
Moon, K. S. and Ali, M. M. (2007). “Structural developments in tall buildings: current trends and future prospects.”Architectural Science Review, University of Sydney, 50(3), pp. 205–223.
Yura, J. A. (1971). “The effective length of columns in unbraced frames.”Engineering Journal, AISC, 8(2), pp. 37–42.
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Kim, HD., Lee, MJ. Analytical investigation of the P-Δ effect of middle-rise unbraced steel frames. International Journal of Steel Structures 10, 221–232 (2010). https://doi.org/10.1007/BF03215832
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DOI: https://doi.org/10.1007/BF03215832