Comparative Study of Differential Equation of Equilibrium Method and Constrained and Unconstrained Finite-Strip Method–Direct Strength Method for Prediction of Axial Strength of Cold-Formed Steel Sheathed Wall Studs
Publication: Practice Periodical on Structural Design and Construction
Volume 26, Issue 1
Abstract
Modified cold-formed steel (CFS) load-bearing wall-panels under consideration consist of a stud (C-section), track (U-section), and sheathing. Self-drilling screws are used to attach sheathing to the CFS frame. It was observed during various experimental testing that the behavior and strength of the CFS wall-stud changes in the presence of sheathing under axial loading. The present paper investigates the efficacy of a handy tool through analytical and semianalytical models, i.e., the differential equation of equilibrium (DEEq) method for a lipped C-section with continuous elastic supports and the constrained and unconstrained finite-strip method–direct strength method (CUFSM-DSM) by obtaining load factors through an elastic buckling analysis carried out using the CUFSM Tool, version 4.05, respectively, for the evaluation of the axial strength of sheathed CFS. In both the methods, the bracing provided by sheathing to the stud is assumed as spring. The predicted results by both methods are compared with observed strengths of short, intermediate, and long sheathed CFS wall-studs from the experimental database. Results demonstrate a good agreement with the experimental results. For the first time, an attempt is made to compare both the mathematical models to predict the axial strength of the CFS walls. The results presented in this paper demonstrate that the semianalytical tool may be used effectively for the design of a load-bearing sheathed-CFS wall panel.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author upon request (experimental study data and analytical study data).
Acknowledgments
The research was supported by a grant provided by the Council of Scientific and Industrial Research-Central Building Research Institute (CSIR-CBRI) Roorkee. The authors are grateful to the Director of the CSIR-CBRI, Roorkee, for giving permission for publishing the work.
References
AISI (American Iron and Steel Institute). 1996. Specification for the design of cold-formed steel structural members. Washington, DC: AISI.
AISI (American Iron and Steel Institute). 2007. North American specification for the design of cold-formed steel structural members. AISI S100. Washington, DC: AISI.
BSI (British Standard Institution). 1998. Structural use of steelwork in building. Code of practice for design of cold-formed thin gauge sections. BS 5950:5. London: BSI.
Lee, Y. K., and T. H. Miller. 2000. “Axial strength of gypsum-sheathed cold-formed steel wall studs.” KSCE J. Civ. Eng. 4 (4): 175–181. https://doi.org/10.1007/BF02823964.
Lee, Y. K., and T. H. Miller. 2001. “Axial strength determination for gypsum-sheathed, cold-formed steel wall stud composite panels.” J. Struct. Eng. 127 (6): 608–615. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:6(608).
Li, Z., and B. W. Schafer. 2010. “Buckling analysis of cold-formed steel members with general boundary conditions using CUFSM: Conventional and constrained finite strip methods.” In Proc., 20th Int. Specialty Conf. on Cold-Formed Steel Structures. Rolla, MO: Missouri Univ. of Science and Technology.
Miller, T. H. 1990. “Behavior of cold-formed steel wall stud assemblies subject to eccentric axial loads.” Ph.D. thesis, Dept. of Civil Engineering, Cornell Univ.
Miller, T. H., and T. Pekoz. 1993. “Behavior of cold-formed steel wall stud assemblies.” J. Struct. Eng. 119 (2): 641–651. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:2(641).
Miller, T. H., and T. Pekoz. 1994. “Behavior of gypsum-sheathed cold-formed steel wall studs.” J. Struct. Eng. 120 (5): 1644–1650. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:5(1644).
Mousavi, H., M. Azhari, M. M. Saadatpour, and S. Sarrami-Foroushani. 2019. “A coupled improved element free Galerkin-finite strip (IEFG-FS) method for free vibration analysis of plate.” Int. J. Appl. Mech. 11 (10): 1950103. https://doi.org/10.1142/S1758825119501035.
Sarrami-Foroushani, S., M. Azhari, and M. M. Saadatpour. 2013. “Buckling of functionally graded stiffened and unstiffened plates using finite strip method.” Comput. Methods Civ. Eng. 4 (1): 1–24.
SA (Standards Australia). 1996. Cold-formed steel structures. AS 4600. Sydney, Australia: SA.
Schafer, B. W. 2013. “Sheathing braced design of wall studs.” In AISI-specifications for the design of cold-formed steel structural members, 115. Washington, DC: American Iron and Steel Institute.
Shahmohammadi, M. A., M. Azhari, M. M. Saadatpour, and S. Sarrami-Foroushani. 2019. “Stability of laminated composite and sandwich FGM shells using a novel isogeometric finite strip method.” Eng. Comput. 37 (4): 1369–1395. https://doi.org/10.1108/EC-06-2019-0246.
Simaan, A. 1973. Buckling of diaphragm-braced columns of unsymmetrical sections and application to wall studs design. Ithaca, NY: Cornell Univ.
Simaan, A., and T. Pekoz. 1976. “Diaphragm braced members and design of wall studs.” J. Struct. Div. 102 (1): 77–92.
Sonkar, C., A. K. Mittal, and S. K. Bhattacharyya. 2020. “Comparative study on cold-formed steel (CFS) single-stud and multiple-studs wall panels with magnesium oxide (MgO) sheathing under axial loading: Experimental and analytical.” J. Struct. Eng. 146 (11): 04020224. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002723.
Telue, Y., and M. Mahendran. 2001. “Behaviour of cold-formed steel wall frames lined with plasterboard.” J. Constr. Steel Res. 57 (4): 435–452. https://doi.org/10.1016/S0143-974X(00)00024-9.
Telue, Y., and M. Mahendran. 2004. “Behaviour and design of cold-formed steel wall frames lined with plasterboard on both sides.” Eng. Struct. 26 (5): 567–579. https://doi.org/10.1016/j.engstruct.2003.12.003.
Tian, Y. S., J. Wang, and T. J. Lu. 2007. “Axial load capacity of cold-formed steel wall stud with sheathing.” Thin Walled Struct. 45 (5): 537–551. https://doi.org/10.1016/j.tws.2007.02.017.
Tian, Y. S., J. Wang, T. J. Lu, and C. Y. Barlow. 2004. “An experimental study on the axial behaviour of cold-formed steel wall studs and panels.” Thin Walled Struct. 42 (4): 557–573. https://doi.org/10.1016/j.tws.2003.09.004.
Timoshenko, S. P., and J. M. Gere. 1961. Theory of elastic stability. New York: McGraw-Hill.
Vieira, L. C. M., Jr. 2011. “Behaviour and design of sheathed cold-formed steel stud walls under compression.” Ph.D. thesis, Dept. of Civil Engineering, Johns Hopkins Univ.
Vieira, L. C. M., Jr., and B. W. Schafer. 2013. “Behavior and design of sheathed cold-formed steel stud walls under compression.” J. Struct. Eng. 139 (5): 772–786. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000731.
Vieira, L. C. M., Jr., Y. Shifferaw, and B. W. Schafer. 2011. “Experiments on sheathed cold-formed steel studs in compression.” J. Constr. Steel Res. 67 (10): 1554–1566. https://doi.org/10.1016/j.jcsr.2011.03.029.
Ye, J., R. Feng, W. Chen, and W. Liu. 2016. “Behavior of cold-formed steel wall stud with sheathing subjected to compression.” J. Constr. Steel Res. 116 (Jan): 79–91. https://doi.org/10.1016/j.jcsr.2015.08.028.
Zamanifar, H., S. Sarrami-Foroushani, and M. Azhari. 2019. “Static and dynamic analysis of corrugated-core sandwich plates using finite strip method.” Eng. Struct. 183 (Mar): 30–51. https://doi.org/10.1016/j.engstruct.2018.12.102.
Zamanifar, H., S. Sarrami-Foroushani, and M. Azhari. 2020. “A parametric study on the mechanical and thermal stability of corrugated-core sandwich plates.” In Vol. 24 of Structures, 209–226. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1016/j.istruc.2020.01.015.
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Published In
Practice Periodical on Structural Design and Construction
Volume 26 • Issue 1 • February 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Jan 28, 2020
Accepted: Jun 17, 2020
Published online: Sep 30, 2020
Published in print: Feb 1, 2021
Discussion open until: Feb 28, 2021
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