Abstract
The behavior of the H-beam strengthened with welded T-beam is tested and simulated to investigate the nonlinear behavior of flexural members strengthened under high preload. Experimental result reveals that for the four specimens that fails predominantly by flexural yielding, the increase in the preload results in a reduction in both the yield load and the ultimate load when the preload ratio exceeds 0.75. In the parametric numerical analysis, the effect of heat input is considered by means of indirect thermal-structural coupling analysis. At each preload ratio, the influence of the aspect ratio, which is defined as the ratio between section height and width, is studied. Results show that as the aspect ratio decreases, the discrepancy between the ultimate load of preloaded and unpreloaded beams increases. An empirical formula is proposed to calculate the reduction of ultimate load for beams affected from different preload ratios considering various aspect ratios. Further studies are conducted on the welding safety. It is demonstrated that beam with the section larger than WH100 × 100 × 10 × 10 may be welded under high load safely when the preload ratio is < 0.97. What’s more, the approaches to calculate residual deflection and increments of deflection during welding process are proposed and verified to be effective. Finally, the proposed theoretical method to calculate design bearing capacity of reinforced beams may be utilized to increase the accuracy of design process.
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References
AWS Committee Structural: ANSI/AWS D1.1. (2010). Structural welding code-steel. USA: American Welding Society.
Cai, Z.-P., Zhao, H.-Y., Lu, A.-L., Shi, Q.-Y. (2002). The establishment and application of segmented moving heat source model in welding numerical simulation. China Mechanical Engineering, 2002(03): 34–36+4. (in Chinese).
China Association for Engineering Construction Standardization. (2005). Technical specification for reinforcement of steel structures (CECS 77:96). Beijing. (in Chinese).
China Iron and Steel Association. (2017). Welding H-shaped steel (GB/T 33814-2017). Beijing. (in Chinese).
Erfani, S., Naseri, M., & Akrami, V. (2017). Effect of in-service strengthening on the axial load carrying capacity of steel box columns. International Journal of Steel Structures, 17(1), 231–244. https://doi.org/10.1007/s13296-015-0178-x
Feng, P., Qiang, H.-L., & Ye, L.-P. (2017). The definition and discussion of “yield point” of materials, components and structures. Engineering Mechanics, 34(03), 36–46. (in Chinese).
Jiang, L., Wang, Y.-Q., Dai, G.-X., Zhang, T.-S., & Shi, Y.-J. (2015). Analysis of load-carrying behavior of I-columns with flexure and axial loads strengthened by welding under load. Journal of Tianjin University (Science and Technology), 48, 60–66. (in Chinese).
Kamruzzaman, M., Jumaat, M.-Z., Sulong, N. H. R., Narmashiri, K., Ghaedi, K., & Hosen, M. A. (2019). Experimental investigation on fatigue behavior of wide-flange steel I-beams strengthened using different CFRP end cutting shapes. International Journal of Steel Structures, 19(3), 760–768. https://doi.org/10.1007/s13296-018-0160-5
Liu, Y., & Gannon, L. (2009a). Experimental behavior and strength of steel beams strengthened while under load. Journal of Constructional Steel Research, 65(6), 1346–1354. https://doi.org/10.1016/j.jcsr.2009.01.008
Liu, Y., & Gannon, L. (2009b). Finite element study of steel beams reinforced while under load. Engineering Structures., 31(11), 2630–2642. https://doi.org/10.1016/j.engstruct.2009.06.011
Marzouk, H., & Mohan, S. (1990). Strengthening of wide-flange columns under load. Canadian Journal of Civil Engineering, 17(5), 835–843. https://doi.org/10.1139/l90-094
Ministry of construction of the People's Republic of China. (2017). Technical code for fire prevention Of steel structures in buildings (GB51249-2017). Beijing (in Chinese).
Ministry of Metallurgical Industry of the People's Republic of China. (1997). Technical specification for inspection, evaluation and reinforcement of steel structures (YB9257-96). Beijing. (in Chinese).
Naganathan, S., Chakravarthy, H. G. N., Anuar, N. A., Kalavagunta, S., & Mustapha, K. N. B. (2020). Behaviour of cold formed steel built-up channel columns strengthened using CFRP. International Journal of Steel Structures, 20(2), 415–424. https://doi.org/10.1007/s13296-019-00293-5
Nagaraja Rao, N. R., & Tall, L. (1963). Columns reinforced under load. Welding Journal, Vol. 42, Reprint No. 216(63-2). Fritz Laboratory Reports, Paper 144.
Park, J.-W., Yeom, H.-J., & Yoo, J.-H. (2013). Axial loading tests and FEM analysis of slender square hollow section (SHS) stub columns strengthened with carbon fiber reinforced polymers. International Journal of Steel Structures, 13(4), 731–743. https://doi.org/10.1007/s13296-013-4014-x
Tall, L. (1989). The reinforcement of steel columns. Engineering Journal, 26(1), 33–37.
Unterweger, H. (1999). Ultimate load capacity of columns strengthened under preload. Advances in Steel Structures (ICASS ’99), 1;117–124. https://doi.org/10.1016/B978-008043015-7/50014-2
Vild, M., & Bajer, M. (2015). Strengthening under Load: Experimental and Numerical Research. IOP Conference Series Material Science and Engineering, 96(1), 012062. https://doi.org/10.1088/1757-899X96/1/12062
Vild, M., & Bajer, M. (2016a). Strengthening under load: The effect of preload magnitudes. Procedia Engineering, 161, 343–348. https://doi.org/10.1016/j.proeng.2016.08.570
Vild, M., & Bajer, M. (2016b). Strengthening of steel columns under load: Torsional-flexural buckling. Advances in Materials Science and Engineering, 2016, 1–10. https://doi.org/10.1155/2016/2765821
Wang, Y.-Q., Zhu, R.-X., Dai, G.-X., Shi, G. (2013). Finite element analysis of section stress distribution of welded reinforced steel column under load. Journal of Shenyang Jianzhu University (Natural Science), 29(04): 577–583. (in Chinese).
Wang, Y.-Q., Zhu, R.-X., Dai, G.-X., & Shi, G. (2014a). Analysis on load-carrying behavior of I section steel columns reinforced by welding with initial compressive load. Journal of Shenyang Jianzhu University (Natural Science), 30(01), 25–33. (in Chinese).
Wang, Y.-Q., Zhu, R.-X., Dai, G.-X., & Shi, G. (2014b). Experimental study on load-carrying behavior of I section steel columns strengthened by welding with initial load. Journal of Building Structures, 35(07), 78–86. (in Chinese).
Wang, Y.-Q., Zong, L., Zhu, R.-X., Liu, X.-Y., & Shi, Y.-J. (2015). Behavior of I-section steel beam welding reinforced while under load. Journal of Constructional Steel Research, 106, 278–288. https://doi.org/10.1016/j.jcsr.2014.12.020
Wu, Z., & Grondin, G. Y. (2001). Behavior of steel columns reinforced with welded steel plates. Structural Engineering Report No. 250. Canada: Department of Civil and Environmental Engineering, University of Alberta.
Funding
This study was funded by the National Natural Science Foundation of China (Grant No. 51878443) and Hebei Province Full-time Top-level Talents Introduction Project (Grant No. 2020HBQZYC013).
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The idea and methodology for this paper was proposed by Hongbo Liu. The experimentation, data analysis, finite element analysis and theoretical derivation were performed by Jingxian Zhao. The task of supervision and review are fulfilled by Zhihua Chen. The figures were plotted by Shishuo Zhang. All authors commented on previous versions of the manuscript. The revised draft of the manuscript was written by Jingxian Zhao under the direction of Hongbo Liu. All authors read and approved the final manuscript.
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Zhao, J., Liu, H., Chen, Z. et al. Experimental and Numerical Study on the Nonlinear Behavior of Strengthened Beams Under High Preload. Int J Steel Struct 21, 1564–1587 (2021). https://doi.org/10.1007/s13296-021-00521-x
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DOI: https://doi.org/10.1007/s13296-021-00521-x