Technical Papers
Jan 25, 2024

Direct Stiffness–Strength Method: An Alternative Design Approach to AISI for Sheathed Cold-Formed Steel Z-Section Structural Members Subjected to Bending

Publication: Journal of Structural Engineering
Volume 150, Issue 4

Abstract

This paper presents a design approach, the direct stiffness–strength method (DSSM), for the strength prediction of sheathed cold-formed steel (CFS) structural members. The DSSM considers each sheathing–fastener connection as a bracing point and incorporates its stiffness and strength in the CFS wall panel design. The DSSM is formulated and validated based on large experimental test results. The motivation for this work is to address research gaps in the latest American Iron and Steel Institute (AISI) standards for the sheathing braced design of CFS structural members. A total of 41 individual sheathing–fastener connection tests were carried out, including parameters such as four different sheathing board types (to account for the performance of different sheathing) and seven different dimensions of the CFS Z-sections (to account for the slenderness). A new set of expressions was formulated to predict the stiffness and strength of the individual sheathing–fastener connections (bracing points) based on the observations from tests. A design-oriented assessment (comparing the design results with full-scale wall panel test results) indicated that the expressions formulated for DSSM are appropriate for the use of sheathed CFS Z-section member design. Further, this study used a design example to demonstrate the appropriateness of the DSSM approach.

Practical Applications

Since the introduction of the sheathing braced design concept in conjunction with the direct strength method (DSM) established by the American Iron and Steel Institute in RP13-1, this approach has gained traction among researchers to further enhance it for the various failure modes of the CFS structural members. However, there is an inconsistency in the sheathing bracing design concepts of the AISI design standards. The proposed DSSM is a simple one; it considers each sheathing fastener connection as a bracing point and incorporates its stiffness and strength in the CFS wall panel design. This proposed DSSM can be completed in two steps by checking the bracing ability of the provided sheathing. The DSSM method can be used with any design specification for determining the moment capacity of the CFS member with the contribution of the sheathing board. The design steps involved in DSSM are demonstrated with flowcharts and a design example. The DSSM proved that use of sheathing boards can eliminate the additional steel bracings at the intermediate length and breadth of the CFS wall panels, but steel bracings are required at the building corners for stability. This design method can realize up to a 15% reduction in steel consumption in the CFS building construction.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The investigation reported in this paper was funded by Science Engineering and Research Board (SERB) Research Grant (SB/S3/CEE/046/2014) from the Department of Science and Technology (DST), Government of India.
Author contributions: Sivaganesh Selvaraj: Conceptualization, methodology, investigation, data collection and curation, formal analysis, creation and presentation of the published work, formulation or evolution of overarching research goals and aims, Writing-original draft, review and editing. Mahendrakumar Madhavan: Conceptualization, Project administration, supervision, formulation or evolution of overarching research goals and aims, Writing-review and and editing.

References

AISI (American Iron and Steel Institute). 2012. North American standard for cold-formed steel framing—Floor and roof system design. AISI-S210-07. Washington, DC: AISI.
AISI (American Iron and Steel Institute). 2013. Sheathing braced design of wall studs. AISI-RP13-1. Washington, DC: AISI.
AISI (American Iron and Steel Institute). 2015. North American standard for cold-formed steel framing—Floor and roof system design. AISI-S400-15 w/S1-16. Washington, DC: AISI.
AISI (American Iron and Steel Institute). 2017. Test standard for determining the fastener-sheathing rotational stiffness of sheathed cold-formed steel assemblies. AISI-S918-17. Washington, DC: AISI.
AISI (American Iron and Steel Institute). 2020. North American cold-formed steel specification for the design of cold-formed steel structural members. AISI S100-16. Washington, DC: AISI.
AISI (American Iron and Steel Institute). 2022. North American cold-formed steel specification for the design of cold-formed steel structural members. AISI S100-16 (2022) w/S3-22. Washington, DC: AISI.
ASCE (American Society of Civil Engineers). 2010. Minimum design loads for buildings and other structures. ASCE/SEI 7. Reston, VA: ASCE.
ASME (American Society of Mechanical Engineers). 2018. Unified inch screw threads (UN and UNR thread form). ASME-B1.1-2003. New York: ASME.
AS/NZS (Australian/New Zealand Standard). 2002. Structural design actions. Part 0: General principles. AS/NZS 1170.0. Sydney, Australia: Standards Association of Australia.
ASTM (American Society for Testing and Materials). 2013. Standard test methods for tension testing of metallic materials. ASTM E8/E8M-13a. West Conshohocken, PA: ASTM.
Camotim, D., A. D. Martins, P. B. Dinis, B. Young, M. T. Chen, and A. Landesmann. 2020a. “Mode interaction in cold-formed steel members: State-of-art report, Part 1: Fundamentals and local-distortional coupling.” Steel Constr. 13 (3): 165–185. https://doi.org/10.1002/stco.202000036.
Camotim, D., A. D. Martins, P. B. Dinis, B. Young, M. T. Chen, and A. Landesmann. 2020b. “Mode interaction in cold-formed steel members: State-of-art report, Part 2: Couplings involving global buckling.” Steel Constr. 13 (3): 186–207. https://doi.org/10.1002/stco.202000044.
Camotim, D., A. D. Martins, P. B. Dinis, B. Young, M. T. Chen, and A. Landesmann. 2021. “Mode interaction in cold-formed steel members: State-of-art report.” ce/papers 4 (2–4): 34–64. https://doi.org/10.1002/cepa.1262.
Chen, M. T., B. Young, A. D. Martins, D. Camotim, and P. B. Dinis. 2020a. “Experimental investigation on cold-formed steel stiffened lipped channel columns undergoing local-distortional interaction.” Thin-Walled Struct. 150 (May): 106682. https://doi.org/10.1016/j.tws.2020.106682.
Chen, M. T., B. Young, A. D. Martins, D. Camotim, and P. B. Dinis. 2020b. “Uniformly bent CFS lipped channel beams experiencing local-distortional interaction: Experimental investigation.” J. Constr. Steel Res. 170 (Jul): 106098. https://doi.org/10.1016/j.jcsr.2020.106098.
Chen, M. T., B. Young, A. D. Martins, D. Camotim, and P. B. Dinis. 2021. “Experimental investigation on cold-formed steel lipped channel beams affected by local-distortional interaction under non-uniform bending.” Thin-Walled Struct. 161 (Apr): 107494. https://doi.org/10.1016/j.tws.2021.107494.
Dinis, P. B., D. Camotim, B. Young, and E. D. M. Batista. 2018. “CFS lipped channel columns affected by LDG interaction. Part II: Numerical simulations and design considerations.” Comput. Struct. 207 (Sep): 200–218. https://doi.org/10.1016/j.compstruc.2017.03.017.
Fiorino, L., G. Della Corte, and R. Landolfo. 2007. “Experimental tests on typical screw connections for cold-formed steel housing.” Eng. Struct. 29 (8): 1761–1773. https://doi.org/10.1016/j.engstruct.2006.09.006.
Fülöp, L. A., and D. Dubina. 2004. “Performance of wall-stud cold-formed shear panels under monotonic and cyclic loading: Part I: Experimental research.” Thin-Walled Struct. 42 (2): 321–338. https://doi.org/10.1016/S0263-8231(03)00063-6.
Green, G. G., G. Winter, and T. R. Cuykendall. 1947. Light gage steel columns in wall-braced panels. Ithaca, NY: Cornell Univ.
Huang, Y., and B. Young. 2014. “The art of coupon tests.” J. Constr. Steel Res. 96 (May): 159–175. https://doi.org/10.1016/j.jcsr.2014.01.010.
Jones, S. N., and F. S. Fonseca. 2002. “Capacity of oriented strand board shear walls with overdriven sheathing nails.” J. Struct. Eng. 128 (7): 898–907. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:7(898).
Martins, A. D., D. Camotim, P. B. Dinis, M. T. Chen, and B. Young. 2022. “Design approach against column local–distortional interactive failures based on the direct strength method.” Thin-Walled Struct. 181 (Dec): 110081. https://doi.org/10.1016/j.tws.2022.110081.
Miller, T. H., and T. M. Peköz. 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).
Peterman, K. D., and B. W. Schafer. 2014. “Sheathed cold-formed steel studs under axial and lateral load.” J. Struct. Eng. 140 (10): 04014074. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000966.
Selvaraj, S., and M. Madhavan. 2018a. “Behavior of cold-formed steel built-up beams: Experimental investigation.” In Proc., 8th Int. Conf. on Thin-Walled Structures (ICTWS). Lisbon, Portugal: Univ. of Lisbon.
Selvaraj, S., and M. Madhavan. 2018b. “Improvements in AISI design methods for gypsum sheathed cold-formed steel wall panels subjected to bending.” J. Struct. Eng. 145 (2): 04018243. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002223.
Selvaraj, S., and M. Madhavan. 2018c. “Studies on cold-formed steel stud panels with gypsum sheathing subjected to out-of-plane bending.” J. Struct. Eng. 144 (9): 04018136. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002069.
Selvaraj, S., and M. Madhavan. 2019a. “Behaviour of gypsum sheathed point-symmetric cold-formed steel members: Assessment of AISI design method.” Structures 22 (Dec): 76–97. https://doi.org/10.1016/j.istruc.2019.06.005.
Selvaraj, S., and M. Madhavan. 2019b. “Bracing effect of sheathing in point-symmetric cold-formed steel flexural members.” J. Constr. Steel Res. 157 (Jun): 450–462. https://doi.org/10.1016/j.jcsr.2019.02.037.
Selvaraj, S., and M. Madhavan. 2019c. “Investigation on sheathing-fastener connection failures in cold-formed steel wall panels.” Structures 20 (Aug): 176–188. https://doi.org/10.1016/j.istruc.2019.03.007.
Selvaraj, S., and M. Madhavan. 2020. “Influence of sheathing-fastener connection stiffness on the design strength of cold-formed steel wall panels.” J. Struct. Eng. 146 (10): 04020202. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002709.
Selvaraj, S., and M. Madhavan. 2021a. “Criteria for selection of sheathing boards in cold-formed steel wall panels subjected to bending: Construction applications and performance-based evaluation.” Pract. Period. Struct. Des. Constr. 26 (1): 04020044. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000527.
Selvaraj, S., and M. Madhavan. 2021b. “Design of cold-formed steel built-up columns subjected to local-global interactive buckling using direct strength method.” Thin-Walled Struct. 159 (Feb): 107305. https://doi.org/10.1016/j.tws.2020.107305.
Selvaraj, S., and M. Madhavan. 2021c. “Direct stiffness-strength method design for sheathed cold-formed steel structural members: Recommendations for the AISI S100.” Thin-Walled Struct. 162 (May): 107282. https://doi.org/10.1016/j.tws.2020.107282.
Selvaraj, S., and M. Madhavan. 2021d. “Direct strength approach for local buckling of cold-formed steel built-up beams with slender unstiffened flange elements.” Pract. Period. Struct. Des. Constr. 26 (3): 06021004. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000599.
Selvaraj, S., and M. Madhavan. 2022a. “Application of direct stiffness-strength method for design of gypsum and plywood sheathed CFS wall panels subjected to bending.” Thin-Walled Struct. 180 (Nov): 109874. https://doi.org/10.1016/j.tws.2022.109874.
Selvaraj, S., and M. Madhavan. 2022b. “Design of cold-formed steel built-up closed section columns-modified local slenderness equation.” In Proc., Cold-Formed Steel Research Consortium (CFSRC) Colloquium. Baltimore: Cold-Formed Steel Research Consortium.
Selvaraj, S., and M. Madhavan. 2022c. “Design of cold-formed steel built-up closed section columns using direct strength method.” Thin-Walled Struct. 171 (Feb): 108746. https://doi.org/10.1016/j.tws.2021.108746.
Selvaraj, S., and M. Madhavan. 2022d. “Design of cold-formed steel built-up I section columns subjected to interactive buckling.” In Proc., Cold-Formed Steel Research Consortium (CFSRC) Colloquium. Baltimore: Cold-Formed Steel Research Consortium.
Selvaraj, S., and M. Madhavan. 2022e. “Experimental investigation and design considerations on cold-formed steel built-up I-section columns subjected to interactive buckling modes.” Thin-Walled Struct. 175 (Jun): 109262. https://doi.org/10.1016/j.tws.2022.109262.
Selvaraj, S., and M. Madhavan. 2023a. “Proposal to improve AISI S100 DSM design standards for CFS built-up closed cross-section columns subjected to local-global interaction buckling.” J. Struct. Eng. 149 (10): 04023136. https://doi.org/10.1061/JSENDH.STENG-11916.
Selvaraj, S., and M. Madhavan. 2023b. “Structural behaviour of cold-formed steel built-up closed cross-section columns: Assessing the influence of parameters and design methods.” Eng. Struct. 294 (Nov): 116600. https://doi.org/10.1016/j.engstruct.2023.116600.
Serrette, R., J. Encalada, M. Juadines, and H. Nguyen. 1997. “Static racking behavior of plywood, OSB, gypsum, and fiber bond walls with metal framing.” J. Struct. Eng. 123 (8): 1079–1086. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:8(1079).
Serrette, R., and K. Ogunfunmi. 1996. “Shear resistance of gypsum-sheathed light-gauge steel stud walls.” J. Struct. Eng. 122 (4): 383–389. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:4(383).
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.
Vieira, L. C. M., Jr. 2011. “Behavior and design of cold-formed steel stud walls under axial compression.” Ph.D. dissertation, Dept. of Civil Engineering, Johns Hopkins Univ.
Vieira, L. C. M., Jr., and B. W. Schafer. 2012a. “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., and B. W. Schafer. 2012b. “Lateral stiffness and strength of sheathing braced cold-formed steel stud walls.” Eng. Struct. 37 (Apr): 205–213. https://doi.org/10.1016/j.engstruct.2011.12.029.
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.
Wang, L., and B. Young. 2016. “Behavior of cold-formed steel built-up sections with intermediate stiffeners under bending. II: Parametric study and design.” J. Struct. Eng. 142 (3): 04015151. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001427.
Winter, G. 1960. “Lateral bracing of beams and columns.” J. Struct. Div. 125 (1): 809–825. https://doi.org/10.1061/TACEAT.0007917.
Winter, G., N. Celebi, and T. Peköz. 1972. Diaphragm braced channel and Z-section beams. Rep. No. 344. Washington, DC: American Iron and Steel Institute.
Yanagi, N., and C. Yu. 2013. “Effective strip method for the design of cold-formed steel framed shear wall with steel sheet sheathing.” J. Struct. Eng. 140 (4): 04013101. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000870.
Ye, J., R. Feng, W. Chen, and W. Liu. 2016a. “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.
Ye, J., X. Wang, and M. Zhao. 2016b. “Experimental study on shear behavior of screw connections in CFS sheathing.” J. Constr. Steel Res. 121 (Jun): 1–12. https://doi.org/10.1016/j.jcsr.2015.12.027.
Young, B., P. B. Dinis, and D. Camotim. 2018. “CFS lipped channel columns affected by LDG interaction. Part I: Experimental investigation.” Comput. Struct. 207 (Sep): 219–232. https://doi.org/10.1016/j.compstruc.2017.03.016.
Yura, J. A. 2001. “Fundamentals of beam bracing.” Eng. J. Am. Inst. Steel Constr. 38 (1): 11–26.
Zhang, W., M. Mahdavian, Y. Li, and C. Yu. 2016. “Experiments and simulations of cold-formed steel wall assemblies using corrugated steel sheathing subjected to shear and gravity loads.” J. Struct. Eng. 143 (3): 04016193. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001681.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 4April 2024

History

Received: Dec 19, 2022
Accepted: Aug 9, 2023
Published online: Jan 25, 2024
Published in print: Apr 1, 2024
Discussion open until: Jun 25, 2024

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Sivaganesh Selvaraj, Ph.D., Aff.M.ASCE https://orcid.org/0000-0003-0782-7003 [email protected]
Research Assistant Professor, Dept. of Civil and Environmental Engineering, Hong Kong Polytechnic Univ., Hung Hom, Hong Kong, China. ORCID: https://orcid.org/0000-0003-0782-7003. Email: [email protected]
Mahendrakumar Madhavan, Ph.D., P.E., F.ASCE https://orcid.org/0000-0002-3144-5278 [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Technology Hyderabad, Kandi, Sangareddy, Telangana 502 285, India (corresponding author). ORCID: https://orcid.org/0000-0002-3144-5278. Email: [email protected]

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