Technical Notes
Aug 11, 2012

Simplified Procedure to Calculate by Hand the Natural Periods of Semirigid Steel Frames

Publication: Journal of Structural Engineering
Volume 139, Issue 6

Abstract

Current seismic design codes provide empirical equations for the calculation of the fundamental period of a framed structure primarily as a function of height, and do not consider the effect of beam-column joint stiffness. In the literature, far too little attention has been paid to incorporate this effect in approximate formulas to calculate by hand the natural periods of semirigid steel frames, which is the aim of this paper. The proposed formulas have been developed after modifications of existing formulas in the literature for rigid-jointed plane steel frames. Then, the accuracy of these approximate formulas was verified by a finite element analysis using ABAQUS software. Finally, a parametric study was conducted to highlight the effect of semirigid connections on the natural periods of vibration of plane steel frames.

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References

ABAQUS 6.10.1 [Computer software]. Providence, RI, Dassault Systèmes Simulia.
Astaneh, A., Nader, M. N., and Malik, L. (1989). “Cyclic behavior of double angle connections.” J. Struct. Eng., 115(5), 1101–1118.
Chen, W. F., and Kishi, N. (1989). “Semirigid steel beam-to-column connections: Data base and modeling.” J. Struct. Eng., 115(1), 105–119.
Chen, W. F., and Lui, E. M. (1985). “Stability design criteria for steel members and frames in the United States.” J. Constr. Steel Res., 5(1), 31–74.
Chui, P. P. T., and Chan, S. L. (1997). “Vibration and deflection characteristics of semi-rigid jointed frames.” Eng. Structures, 19(12), 1001–1010.
Davison, J. B., Kirby, P. A., and Nethercot, D. A. (1987). “Rotational stiffness characteristics of steel beam-to-column connections.” J. Constr. Steel Res., 8, 17–54.
Elnashai, A. S., and Elghazouli, A. Y. (1994). “Seismic behaviour of semi-rigid steel frames.” J. Constr. Steel Res., 29(1–3), 149–174.
European Committee for Standardization (CEN). (2004). “Design of structures for earthquake resistance. Part 1: General rules, seismic actions and rules for buildings.” BS EN 1998-1:2004, Brussels, Belgium.
Goel, R. K., and Chopra, A. K. (1997). “Period formulas for moment-resisting frame buildings.” J. Struct. Eng., 123(11), 1454–1461.
Heidebrecht, A. C., and Smith, B. S. (1973). “Approximate analysis of tall wall-frame structures.” J. Struct. Div., 99(ST2), 199–221.
Kishi, N., Hasan, R., Chen, W. F., and Goto, Y. (1997). “Study of Eurocode 3 steel connection classification.” Eng. Structures, 19(9), 772–779.
Nader, M. N., and Astaneh, A. (1991). “Dynamic behavior of flexible, semirigid and rigid steel frames.” J. Constr. Steel Res., 18(3), 179–192.
Nader, M. N., and Astaneh, A. (1996). “Shaking table tests of rigid, semirigid, and flexible steel frames.” J. Struct. Eng., 122(6), 589–596.
Rosales, J. G. P. (1991). “Seismic resistance of steel frames with semi-rigid connections.” M.Sc. dissertation, Univ. of London, London.
Rutenberg, A. (1975). “Approximate natural frequencies for coupled shear walls.” Earthquake Eng. Struct. Dynam., 4(1), 95–100.
Sekulovic, M., Salatic, R., and Nefovska, M. (2002). “Dynamic analysis of steel frames with flexible connections.” Comp. Struct., 80(11), 935–955.
Skattum, K. S. (1971). “Dynamic analysis of coupled shear walls and sandwich beams.” Ph.D. thesis, California Institute of Technology, Pasadena, CA.
Smith, B. S., and Crowe, E. (1986). “Estimating periods of vibration of tall buildings.” J. Struct. Eng., 112(5), 1005–1019.
Wong, Y. L., Yu, T., and Chan, S. L. (2007). “A simplified analytical method for unbraced composite frames with semi-rigid connections.” J. Constr. Steel Res., 63(7), 961–969.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 139Issue 6June 2013
Pages: 1082 - 1087

History

Received: Jan 23, 2012
Accepted: Jul 26, 2012
Published online: Aug 11, 2012
Published in print: Jun 1, 2013

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Authors

Affiliations

Hameed Shakir Al-Aasam [email protected]
Ph.D. Student, School of Mechanical Aerospace and Civil Engineering, Univ. of Manchester, Manchester M13 9PL, U.K. E-mail: [email protected]
Parthasarathi Mandal [email protected]
Lecturer in Structural Engineering, School of Mechanical Aerospace and Civil Engineering, Univ. of Manchester, Manchester M13 9PL, U.K. (corresponding author). E-mail: [email protected]

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