Local Instability Analysis for Axial Compressive Steel Columns
Received: 3 August 2022 | Revised: 19 August 2022 | Accepted: 20 August 2022 | Online: 15 December 2022
Corresponding author: P. C. Nguyen
Abstract
This study presents a nonlinear analysis method for steel columns considering local instability under axial compression. The stress-strain relationship of steel is developed while considering the effects of local instability utilizing the energy principles. The second-order effects are considered by stability functions, while the plasticity of steel is captured by a fiber finite element method. Nonlinear equilibrium equations are solved by the generalized displacement control method. As a result, the proposed formulations are effective, accurate, and reliable in predicting the load-carrying capacity and local instability of steel columns.
Keywords:
second-order effect, local instability, stability function, steel column, plasticityDownloads
References
B. Uy, "Local and post-local buckling of concrete filled steel welded box columns," Journal of Constructional Steel Research, vol. 47, no. 1, pp. 47–72, Aug. 1998. DOI: https://doi.org/10.1016/S0143-974X(98)80102-8
L. Gardner and M. Theofanous, "Discrete and continuous treatment of local buckling in stainless steel elements," Journal of Constructional Steel Research, vol. 64, no. 11, pp. 1207–1216, Nov. 2008. DOI: https://doi.org/10.1016/j.jcsr.2008.07.003
G. Shi, K. Xu, H. Ban, and C. Lin, "Local buckling behavior of welded stub columns with normal and high strength steels," Journal of Constructional Steel Research, vol. 119, pp. 144–153, Mar. 2016. DOI: https://doi.org/10.1016/j.jcsr.2015.12.020
A. Sharhan, W. Wang, X. Li, and H. Al-azzani, "Steady and transient state tests on local buckling of high strength Q690 steel stub columns," Thin-Walled Structures, vol. 167, Oct. 2021, Art. no. 108214. DOI: https://doi.org/10.1016/j.tws.2021.108214
M. D. O’Shea and R. Q. Bridge, "Local buckling of thin-walled circular steel sections with or without internal restraint," Journal of Constructional Steel Research, vol. 41, no. 2, pp. 137–157, Feb. 1997. DOI: https://doi.org/10.1016/S0143-974X(97)80891-7
K.-C. Yang, S.-J. Chen, C.-C. Lin, and H.-H. Lee, "Experimental study on local buckling of fire-resisting steel columns under fire load," Journal of Constructional Steel Research, vol. 61, no. 4, pp. 553–565, Apr. 2005. DOI: https://doi.org/10.1016/j.jcsr.2004.07.001
G. Shi, W. Zhou, and C. Lin, "Experimental Investigation on the Local Buckling Behavior of 960 MPa High Strength Steel Welded Section Stub Columns," Advances in Structural Engineering, vol. 18, no. 3, pp. 423–437, Mar. 2015. DOI: https://doi.org/10.1260/1369-4332.18.3.423
F. Nishino and L. Tall, "Residual Stress and Local Buckling Strength of Steel Columns," Proceedings of the Japan Society of Civil Engineers, vol. 1969, no. 172, pp. 79–96, 1969. DOI: https://doi.org/10.2208/jscej1969.1969.172_79
M. G. Lay, "Flange Local Buckling in Wide-Flange Shapes," Journal of the Structural Division, vol. 91, no. 6, pp. 95–116, Dec. 1965. DOI: https://doi.org/10.1061/JSDEAG.0001371
R. G. Dawson and A. C. Walker, "Post-Buckling of Geometrically Imperfect Plates," Journal of the Structural Division, vol. 98, no. 1, pp. 75–94, Jan. 1972. DOI: https://doi.org/10.1061/JSDEAG.0003145
S. T. Wang, M. I. Yost, and Y. L. Tien, "Lateral buckling of locally buckled beams using finite element techniques," Computers & Structures, vol. 7, no. 3, pp. 469–475, Jun. 1977. DOI: https://doi.org/10.1016/0045-7949(77)90084-0
T. R. Graves Smith and S. Sridharan, "A finite strip method for the post-locally-buckled analysis of plate structures," International Journal of Mechanical Sciences, vol. 20, no. 12, pp. 833–842, Jan. 1978. DOI: https://doi.org/10.1016/0020-7403(78)90009-7
J. Y. Richard Liew, N. E. Shanmugam, and S. L. Lee, "Local buckling of thin-walled steel box columns," Thin-Walled Structures, vol. 8, no. 2, pp. 119–145, Jan. 1989. DOI: https://doi.org/10.1016/0263-8231(89)90039-6
M. Knobloch and M. Fontana, "Strain-based approach to local buckling of steel sections subjected to fire," Journal of Constructional Steel Research, vol. 62, no. 1, pp. 44–67, Jan. 2006. DOI: https://doi.org/10.1016/j.jcsr.2005.04.007
C. Maraveas, "Local Buckling of Steel Members Under Fire Conditions: A Review," Fire Technology, vol. 55, no. 1, pp. 51–80, Jan. 2019. DOI: https://doi.org/10.1007/s10694-018-0768-1
Z. Xing, M. Kucukler, and L. Gardner, "Local buckling of stainless steel plates in fire," Thin-Walled Structures, vol. 148, Mar. 2020, Art. no. 106570. DOI: https://doi.org/10.1016/j.tws.2019.106570
W. Wang, X. Li, and H. Al-azzani, "Experimental study on local buckling of high-strength Q960 steel columns at elevated temperatures," Journal of Constructional Steel Research, vol. 183, Aug. 2021, Art. no. 106716. DOI: https://doi.org/10.1016/j.jcsr.2021.106716
Z. Xing, M. Kucukler, and L. Gardner, "Local buckling of stainless steel I-sections in fire: Finite element modelling and design," Thin-Walled Structures, vol. 161, Apr. 2021, Art. no. 107486. DOI: https://doi.org/10.1016/j.tws.2021.107486
P. C. Nguyen, D. D. Pham, T. T. Tran, and T. Nghia-Nguyen, "Modified Numerical Modeling of Axially Loaded Concrete-Filled Steel Circular-Tube Columns," Engineering, Technology & Applied Science Research, vol. 11, no. 3, pp. 7094–7099, Jun. 2021. DOI: https://doi.org/10.48084/etasr.4157
S.-E. Kim et al., "Finite element simulation of normal – Strength CFDST members with shear connectors under bending loading," Engineering Structures, vol. 238, Jul. 2021, Art. no. 112011. DOI: https://doi.org/10.1016/j.engstruct.2021.112011
T.-T. Tran, M. Hussan, D. Kim, and P.-C. Nguyen, "Distributed plasticity approach for the nonlinear structural assessment of offshore wind turbine," International Journal of Naval Architecture and Ocean Engineering, vol. 12, pp. 743–754, Jan. 2020. DOI: https://doi.org/10.1016/j.ijnaoe.2020.09.003
T.-T. Tran, P.-C. Nguyen, G. So, and D. Kim, "Seismic behavior of steel cabinets considering nonlinear connections and site-response effects," Steel and Composite Structures, vol. 36, no. 1, pp. 17–29, Jul. 2020.
T.-T. Tran et al., "Probabilistic Seismic Demand Model and Seismic Fragility Analysis of NPP Equipment Subjected to High- and Low-Frequency Earthquakes," Nuclear Science and Engineering, vol. 195, no. 12, pp. 1327–1346, Dec. 2021. DOI: https://doi.org/10.1080/00295639.2021.1920796
S.-E. Kim, J. Lee, and J.-S. Park, "3-D second-order plastic-hinge analysis accounting for local buckling," Engineering Structures, vol. 25, no. 1, pp. 81–90, Jan. 2003. DOI: https://doi.org/10.1016/S0141-0296(02)00122-0
S.-E. Kim and J. Lee, "Improved refined plastic-hinge analysis accounting for local buckling," Engineering Structures, vol. 23, no. 8, pp. 1031–1042, Aug. 2001. DOI: https://doi.org/10.1016/S0141-0296(00)00105-X
C. Ngo-Huu, P.-C. Nguyen, and S.-E. Kim, "Second-order plastic-hinge analysis of space semi-rigid steel frames," Thin-Walled Structures, vol. 60, pp. 98–104, Nov. 2012. DOI: https://doi.org/10.1016/j.tws.2012.06.019
P.-C. Nguyen and S.-E. Kim, "Nonlinear elastic dynamic analysis of space steel frames with semi-rigid connections," Journal of Constructional Steel Research, vol. 84, pp. 72–81, May 2013. DOI: https://doi.org/10.1016/j.jcsr.2013.02.004
P.-C. Nguyen, N. T. N. Doan, C. Ngo-Huu, and S.-E. Kim, "Nonlinear inelastic response history analysis of steel frame structures using plastic-zone method," Thin-Walled Structures, vol. 85, pp. 220–233, Dec. 2014. DOI: https://doi.org/10.1016/j.tws.2014.09.002
P.-C. Nguyen and S.-E. Kim, "Nonlinear inelastic time-history analysis of three-dimensional semi-rigid steel frames," Journal of Constructional Steel Research, vol. 101, pp. 192–206, Oct. 2014. DOI: https://doi.org/10.1016/j.jcsr.2014.05.009
P.-C. Nguyen and S.-E. Kim, "Distributed plasticity approach for time-history analysis of steel frames including nonlinear connections," Journal of Constructional Steel Research, vol. 100, pp. 36–49, Sep. 2014. DOI: https://doi.org/10.1016/j.jcsr.2014.04.012
P.-C. Nguyen and S.-E. Kim, "Advanced analysis for planar steel frames with semi-rigid connections using plastic-zone method," Steel and Composite Structures, vol. 21, no. 5, pp. 1121–1144, Jan. 2016. DOI: https://doi.org/10.12989/scs.2016.21.5.1121
P.-C. Nguyen and S.-E. Kim, "Investigating effects of various base restraints on the nonlinear inelastic static and seismic responses of steel frames," International Journal of Non-Linear Mechanics, vol. 89, pp. 151–167, Mar. 2017. DOI: https://doi.org/10.1016/j.ijnonlinmec.2016.12.011
P.-C. Nguyen and S.-E. Kim, "A new improved fiber plastic hinge method accounting for lateral-torsional buckling of 3D steel frames," Thin-Walled Structures, vol. 127, pp. 666–675, Jun. 2018. DOI: https://doi.org/10.1016/j.tws.2017.12.031
P.-C. Nguyen and S.-E. Kim, "An advanced analysis method for three-dimensional steel frames with semi-rigid connections," Finite Elements in Analysis and Design, vol. 80, pp. 23–32, Mar. 2014. DOI: https://doi.org/10.1016/j.finel.2013.11.004
P.-C. Nguyen and S.-E. Kim, "Second-order spread-of-plasticity approach for nonlinear time-history analysis of space semi-rigid steel frames," Finite Elements in Analysis and Design, vol. 105, pp. 1–15, Nov. 2015. DOI: https://doi.org/10.1016/j.finel.2015.06.006
P. C. Nguyen, "Nonlinear Inelastic Earthquake Analysis of 2D Steel Frames," Engineering, Technology & Applied Science Research, vol. 10, no. 6, pp. 6393–6398, Dec. 2020. DOI: https://doi.org/10.48084/etasr.3855
P. C. Nguyen, B. Le-Van, and S. D. T. V. Thanh, "Nonlinear Inelastic Analysis of 2D Steel Frames : An Improvement of the Plastic Hinge Method," Engineering, Technology & Applied Science Research, vol. 10, no. 4, pp. 5974–5978, Aug. 2020. DOI: https://doi.org/10.48084/etasr.3600
P.-C. Nguyen and T. D. Tran, "Impacts of residual stress and shear deformation on 2D steel frames using fiber plastic hinge element: nonlinear behavior and strength," SN Applied Sciences, vol. 3, no. 7, Jul. 2021, Art. no. 686. DOI: https://doi.org/10.1007/s42452-021-04638-w
P.-C. Nguyen, T.-T. Tran, and T. Nghia-Nguyen, "Nonlinear time-history earthquake analysis for steel frames," Heliyon, vol. 7, no. 8, Aug. 2021, Art. no. e06832. DOI: https://doi.org/10.1016/j.heliyon.2021.e06832
Y.-B. Yang and M.-S. Shieh, "Solution method for nonlinear problems with multiple critical points," AIAA Journal, vol. 28, no. 12, pp. 2110–2116, 1990. DOI: https://doi.org/10.2514/3.10529
G. H. Bryan, "On the Stability of a Plane Plate under Thrusts in its own Plane, with Applications to the ‘Buckling’ of the Sides of a Ship," Proceedings of the London Mathematical Society, vol. s1-22, no. 1, pp. 54–67, Nov. 1890. DOI: https://doi.org/10.1112/plms/s1-22.1.54
J. H. Lee, "Local Buckling Behaviour and Design of Cold-formed Steel Compression Members at Elevated Temperatures," Ph.D. dissertation, Queensland University of Technology, Brisbane, QLD, Australia, 2004.
W.-F. Chen, Structural Stability: Theory and Implementation, Illustrated edition. Englewood Cliffs, NJ, USA: Prentice Hall, 1987.
H. H. Michels, "Abscissas and weight coefficients for Lobatto quadrature," Mathematics of Computation, vol. 17, no. 83, pp. 237–244, 1963. DOI: https://doi.org/10.1090/S0025-5718-1963-0158540-4
S. Kitipornchai and A. D. Wong‐Chung, "Inelastic Buckling of Welded Monosymmetric I‐Beams," Journal of Structural Engineering, vol. 113, no. 4, pp. 740–756, Apr. 1987. DOI: https://doi.org/10.1061/(ASCE)0733-9445(1987)113:4(740)
B. Uy, "Local and Postlocal Buckling of Fabricated Steel and Composite Cross Sections," Journal of Structural Engineering, vol. 127, no. 6, pp. 666–677, Jun. 2001. DOI: https://doi.org/10.1061/(ASCE)0733-9445(2001)127:6(666)
Downloads
How to Cite
License
Copyright (c) 2022 P. C. Nguyen
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.
