Application of Timoshenko Beam-Column Theory in Data Correction for Steel Beam-Column Testing
Publication: Journal of Structural Engineering
Volume 146, Issue 3
Abstract
A recent cyclic test program evaluated the performance of steel wide-flange columns under axial loads and lateral drifts; the specimens had either fixed-fixed or fixed-rotating boundary conditions. For both cases, the flexibility of fully restrained moment connections at specimen ends, which varied in degrees based on several factors such as configurations of the bolted connection, end-plate thickness, and magnitude of the applied axial load, was observed to have significant impacts on elastic flexural stiffnesses of the measured responses. Therefore, the measured responses needed to be corrected, accounting for the effects of connection flexibility, before test parameters of interest can be investigated. A data-correction procedure that eliminates the effect of connection flexibility from the measured beam-column responses is developed. The procedure is built upon theoretical knowledge of elastic Timoshenko beam-column behavior. Once the effect of connection flexibility is removed, the corrected test responses become equivalent to the responses of beam-columns with ideal rigid end connections.
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Acknowledgments
Funding for this research was provided by the NEHRP Consultants Joint Venture Earthquake, Structural, and Engineering Research for the National Institute of Standards and Technology (NIST). American Institute of Steel Construction and Herrick Corporation donated the test specimens. Mr. J. O. Malley from Degenkolb Engineers chaired the Project Technical Committee, and Ms. A. Hortacsu from Applied Technology Council served as the project manager. The authors would like to acknowledge Dr. J. L. Harris III from NIST for reviewing this paper.
References
AISC. 2016a. Prequalified connections for special and intermediate steel moment frames for seismic applications. ANSI/AISC 358. Chicago: AISC.
AISC. 2016b. Seismic provisions for structural steel building. ANSI/AISC 341. Chicago: AISC.
AISC. 2016c. Specification for structural steel buildings. ANSI/AISC 360. Chicago: AISC.
Aristizabal-Ochoa, J. D. 2004. “Timoshenko beam-column with generalized end conditions and nonclassical modes of vibration of shear beams.” J. Eng. Mech. 130 (10): 1151–1159. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:10(1151).
ASCE. 2016. Minimum design loads and associated criteria for buildings and other structures. ASCE/SEI 7. Reston, VA: ASCE.
ASTM. 2017. Standard specification for quenched and tempered alloy steel bolts, studs, and other externally threaded fasteners. ASTM A354. West Conshohocken, PA: ASTM.
ASTM. 2018. Standard specification for high-strength low-alloy columbium-vanadium structural steel. ASTM A572. West Conshohocken, PA: ASTM.
Chansuk, P., G. Ozkula, and C.-M. Uang. 2018. Seismic behavior and design of deep, slender wide-flange structural steel beam-columns: Phase 2 testing. San Diego: Univ. of California.
Cheng, F. Y., and C. P. Pantelides. 1988a. “Dynamic Timoshenko beam-columns on elastic media.” J. Struct. Eng. 114 (7): 1524–1550. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:7(1524).
Cheng, F. Y., and C. P. Pantelides. 1988b. “Static Timoshenko beam-columns on elastic media.” J. Struct. Eng. 114 (5): 1152–1172. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:5(1152).
Chugh, A. K. 1977. “Stiffness matrix for a beam element including transverse shear and axial force effects.” Int. J. Numer. Methods Eng. 11 (11): 1681–1697. https://doi.org/10.1002/nme.1620111105.
Chung, J. H., W. H. Joo, and K. C. Kim. 1993. “Vibration and dynamic sensitivity analysis of a Timoshenko beam-column with elastically restrained ends and intermediate constraints.” J. Sound Vib. 167 (2): 209–221. https://doi.org/10.1006/jsvi.1993.1331.
Cowper, G. R. 1966. “The shear coefficient in Timoshenko’s beam theory.” J. Appl. Mech. 33 (2): 335–340. https://doi.org/10.1115/1.3625046.
Harris, J. L., and M. S. Speicher. 2015. Assessment of first generation performance-based seismic design methods for new steel buildings: volume 1: Special moment frames. Gaithersburg, MD: NIST.
Newell, J. D., and C.-M. Uang. 2008. “Cyclic behavior of steel wide-flange columns subjected to large drift.” J. Struct. Eng. 134 (8): 1334–1342. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:8(1334).
NIST. 2011. Research plan for the study of seismic behavior and design of deep, slender, wide-flange structural steel-beam-column members. NIST-GCR-11-917-13. Gaithersburg, MD: NIST.
Ozkula, G., J. Harris, and C.-M. Uang. 2017. “Classifying cyclic buckling modes of steel wide-flange columns under cyclic loading.” In Proc., Structures Congress. Reston, VA: ASCE.
Ozkula, G., and C.-M. Uang. 2015. Seismic behavior and design of deep, slender wide-flange structural steel beam-columns: Phase 1 testing. San Diego: Univ. of California.
Ozkula, G., and C.-M. Uang. 2017. “Observations from cyclic tests on deep, wide-flange beam-columns.” Eng. J. 54 (1): 45–59.
Timoshenko, S. P., and J. M. Gere. 1961. Theory of elastic stability. 2nd ed. New York: McGraw-Hill.
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©2019 American Society of Civil Engineers.
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Received: Nov 16, 2018
Accepted: Jul 18, 2019
Published online: Dec 31, 2019
Published in print: Mar 1, 2020
Discussion open until: May 31, 2020
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