Abstract
In these days, closed form solutions to estimate the strength increment in the local buckling strength due to the rotational stiffness of the closed-section ribs have been proposed through theoretical approaches using the energy methods and parametric numerical analysis. In this paper, the correlations between the local buckling strength of longitudinally stiffened plates and the rotational restraint stiffness of closed-sections ribs were thoroughly investigated through numerical analyses. Three-dimensional finite element models of longitudinally stiffened plates were obtained using ABAQUS, and a series of comprehensive parametric numerical analyses were conducted in order to reveal the influential design parameters for required rotational stiffness of closed-section ribs for reaching converged buckling strengths. Then, a simplified design equation for the required rotational stiffness for the stiffened plate buckling strength has been proposed, which are applicable for both flat and curved plates to achieve optimum design sections. The comparative study and trend analysis showed that the proposed design methods have a good correlation with the numerical analysis results. Finally, a series of design examples demonstrate a design process of the longitudinally stiffened plates with closed-section ribs by using the proposed design equations.
Similar content being viewed by others
References
AASHTO. (2017). LRFD bridge design specifications (8th ed.). Washington, DC: AASHTO.
ABAQUS. (2012). Analysis user’s manual version 6.12. Providence, RI: Dassault Systèmes Simulia Corp.
American Association of State Highway and Transportation Officials (AASHTO). (2002). Standard specifications for highway bridges (17th ed.). Washington, DC: AASHTO.
Andico, A. N. P., Park, Y. M., & Choi, B. H. (2018). Buckling strength increment of curved panels due to rotational stiffness of closed-section ribs under uniaxial compression. International Journal of Steel Structures,18(4), 1363–1372.
Choi, B. H., Andico, A. N. P., & Choi, S. H. (2018). Local buckling of longitudinally stiffened plates with rotational stiffness of closed-section ribs. Journal of Constructional Steel Research (Submitted).
Choi, B. H., & Choi, S. Y. (2012). Buckling behavior of longitudinally stiffened steel plates by u-shaped ribs. Journal of the Korean Society of Hazard Mitigation,12(1), 39–44.
Choi, B. H., Hwang, M. O., & Yoo, C. H. (2009). Experimental study of inelastic buckling strength and stiffness requirements for longitudinally stiffened panels. Engineering Structures,31(5), 1141–1153.
Choi, B. H., Kang, Y. J., & Yoo, C. H. (2007). Stiffness requirements for transverse stiffeners of compression panels. Engineering Structures,29(9), 2087–2096.
Choi, B. H., Kim, J. J., & Lee, T. H. (2015). Bending stiffness requirement for closed-section longitudinal stiffeners of isotropic material plates under uniaxial compression. Journal of Bridge Engineering, ASCE,20(7), 04014092.
Choi, B. H., & Yoo, C. H. (2005). Strength of stiffened flanges in horizontally curved box girders. Journal of Engineering Mechanics,131(2), 167–176.
Chou, C. C., Uang, C. M., & Seible, F. (2006). Experimental evaluation of compressive behavior of orthotropic steel plates for the new san francisco–oakland bay bridge. Journal of Bridge Engineering,11(2), 140–150.
Domb, M. M., & Leigh, B. R. (2001). Refined design curves for compressive buckling of curved panels using nonlinear finite element analysis. In 42nd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference (pp. 49–57).
Minitab. (2013). Minitab 16 statistical software. State College, PA: Minitab Inc.
Qiao, P., & Shan, L. (2005). Explicit local buckling analysis and design of fiber–reinforced plastic composite structural shapes. Composite Structures,70(4), 468–483.
Redshaw, S. C. (1933). The elastic instability of a thin curved panel subjected to an axial thrust, its axial and circumferential edges being simply supported. Tech. Rep. British Aeronautical Research Council, R&M-1565.
Stowell, E. Z. (1943). Critical compressive stress for curved sheet supported along all edges and elastically restrained against rotation along the unloaded edges. In National advisory committee for aeronautics (pp. 99–109).
Timoshenko, S. P., & Gere, J. M. (1961). Theory of elastic stability (2nd ed.). New York: McGraw-Hill.
Tran, K. L., Davaine, L., Douthe, C., & Sab, K. (2012). Stability of curved panels under uniform axial compression. Journal of Constructional Steel Research,69(1), 30–38.
Yoo, C. H., Choi, B. H., & Ford, E. M. (2001). Stiffness requirements for longitudinally stiffened box-girder flanges. Journal of Structural Engineering, ASCE,127(6), 705–711.
Yoo, C. H., & Lee, S. C. (2011). Stability of structures: Principles and applications. New York: Elsevier Inc.
Acknowledgements
This work was supported by a National Research Foundation of Korea (NRF) Grant funded by the Korean Government (MSIP) (NRF-2015R1D1A1A01058201).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Moreno, L.B., Park, YM., Choi, S. et al. Rotational Stiffness Requirements of Closed-Section Stiffeners for Buckling Strength Increment of Stiffened Plates Under Uniaxial Compression. Int J Steel Struct 19, 1707–1717 (2019). https://doi.org/10.1007/s13296-019-00240-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13296-019-00240-4