Abstract
This work aims to analyze the effects of patch loading and load eccentricities on flat and corrugated plate girders in the linear and non-linear elastic fields considering variations in slenderness, aspect ratio, loading length, loading width, corrugated angles, local and global fold ratios. To attain these objectives, thirty-five plate girders were modeled for both linear and non-linear buckling analysis, which consisted of ten flat and twenty-five corrugated plate girders. Theoretical values of patch loading resistance were computed using Eurocode and specifications by other authors. In addition, a finite element package Abaqus program was used to obtain numerical results by geometrical and material non-linear analysis using geometric imperfections. Model verification was executed by the comparison of the theoretical and finite element results and from past experimental results obtained by other authors. In corrugated members, patch loading resistance increases with increasing corrugated angles and decreases with increasing global fold ratio. Corrugated members show higher patch loading resistance than equivalent flat web members, which could result in a 15% material reduction per unit length along the longitudinal span in the use of corrugated plates girders over flat plate girders.
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Abbreviations
- a :
-
Transverse stiffener separation
- a 1 :
-
Horizontal panel width in corrugated members
- a 2 :
-
Inclined panel width in corrugated members
- e :
-
Eccentricity
- E :
-
Elastic Modulus
- f u :
-
Ultimate tensile strength
- f y :
-
Yield strength
- G :
-
Shear Modulus
- t :
-
Thickness of the section
- F cr :
-
Elastic critical load
References
Abbas, M., Ibrahim, S. M., & Korashy, M. M. (2019). Lateral torsional buckling of partial corrugated web in steel. International Journal of Scientific and Engineering Research, 10, 6.
Ajeesh, S. S., & Sreekumar, S. (2014). Effect of imperfection on Shear Behaviour of Hybrid plate girder. International Journal of Modern Engineering Research (IJMER), 4, 43–48.
Basiński, W. (2019). Shear buckling of plate girders with corrugated web restrained by end stiffeners. Periodica Polytechnica Civil Engineering, 62(3), 757–771.
Brodetsky, S. (1941). Theory of plates and shells. Nature, 148, 3760. https://doi.org/10.1038/148606a0.
CEN, & EN 1993-1-5. (2005). Eurocode 3. Design of steel structures (pp. 3–1).
Chi, L. (2014). A Beginner’s Guide to Simple Plate Girder Design to EC3 Part 1–5. (pp. 1–44).
da Silva, L. S., Simões, R., & Gervásio, H. (2010). Eurocode 3: Part 1–1: General rules and rules for buildings. Science, 3(1), 740. https://doi.org/10.1002/9783433601099
Elgaaly, M., Seshadri, A., Rodriguez, R., & Ibrahim, S. (2000). Bridge girders with corrugated webs. Transportation Research Record, 1(1696), 162–170. https://doi.org/10.3141/1696-19.
Elgaaly, M., & Seshadri, A. (1997). Girders with corrugated webs under partial compressive edge loading. Journal of Structural Engineering, 123(6), 783–791. https://doi.org/10.1061/(asce)0733-9445
Gozzi, J. (2007). Patch Loading Resistance of Plated Girders-Ultimate and serviceability limit state. PhD. Thesis. Luleå University of Technology.
Ibrahim, B. S. A. (2015). Steel plate girders with corrugated webs, past present and future steel plate girders with corrugated. Kair: Ain Shams University.
Inaam, Q., & Upadhyay, A. (2020). Behavior of corrugated steel I-girder webs subjected to patch loading: Parametric study. Journal of Constructional Steel Research, 165, 105896. https://doi.org/10.1016/j.jcsr.2019.105896.
Jáger, B., Kövesdi, B., & Dunai, L. (2020). Design method improvements for trapezoidally corrugated web girders. In Proceedings of the 9th international conference on advances in steel structures, ICASS 2018. https://doi.org/10.18057/ICASS2018.P.143.
Kala, Z., & Kala, J. (2010). Resistance of thin-walled plate girders under combined bending and shear. Latest Trends on Engineering Mechanics, Structures, Engineering Geology., 6, 714.
Kilardj, M., Ikhenazen, G., Messager, T., & Kanit, T. (2016). Linear and nonlinear buckling analysis of a locally stretched plate. Journal of Mechanical Science and Technology, 30(8), 3607–3613. https://doi.org/10.1007/s12206-016-0721-5.
Kövesdi, B., Braun, B., Kuhlmann, U., & Dunai, L. (2010). Patch loading resistance of girders with corrugated webs. Journal of Constructional Steel Research. https://doi.org/10.1016/j.jcsr.2010.05.011
Maiorana, E., Tetougueni, C. D., Zampieri, P., & Pellegrino, C. (2019). Interaction between patch loading, bending moment, and shear stress in steel girders. Journal of Zhejiang University-SCIENCE A (Applied Physics and Engineering), 20(6), 389–410.
Dvorak, P. (2011). Buckling analysis with FEA. MachineDesign., 2, 79.
Rajkumar, R., Aravindh, R., Krishanan, B. G., & Anand, B. M. (2017). Study on the Behaviour of plate girder with plane web and corrugated web. Advances in Computational Sciences and Technology, 10(9), 2745–2764.
Roberts, T. M., & Rockey, K. C. (1979). A mechanism solution for predicting the collapse loads of slender plate girders when subjected to in-plane patch loading. In Institution of Civil Engineers, Proceedings, Pts (pp. 155–175).
Kövesdi, B. (2010). Patch loading resistance of girders with corrugated webs. PhD, Dissertation, University of Technology and Economics, Budapest.
Šutić, I., Krolo, P., & Bulić, M. (2018). Nelinearna analiza vitkih čeličnih greda. Zbornik Radova, 20(1), 127–140. https://doi.org/10.32762/zr.20.1.8
Tetougueni, C. D., Maiorana, E., Zampieri, P., & Pellegrino, C. (2019). Plate girders behaviour under in- plane loading: A review. Engineering Failure Analysis, 95, 332–358.
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Maiorana, E., Poh’sié, G.H. & Emechebe, C.C. Non-linear Analysis of Corrugated Plate Girders Under Patch Loading. Int J Steel Struct 23, 758–766 (2023). https://doi.org/10.1007/s13296-023-00726-2
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DOI: https://doi.org/10.1007/s13296-023-00726-2