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292<br />

by using the computer program SNAP-2DX (Rai et al., 1996). Strain hardening and damping values of<br />

2 % were used for all members.<br />

Fig. 7 shows the base shear versus roof displacement plot of the frame obtained from die static<br />

pushover analysis. As can be seen, the yield drift and the design base shear of the frame are very close<br />

to the values assumed in the design. Fig. 8 shows the envelopes of maximum story drifts of the frame<br />

due to the four selected ground motions. <strong>The</strong> envelopes of maximum story drifts show that the story<br />

drifts are generally within the target design limit of 2%, as expected.<br />

Conclusion<br />

A new seismic design procedure based on modified energy balance equation and plastic design concept<br />

was presented and discussed. A new modification factor for energy was derived, which depends on the<br />

structural ductility factor f ju^) and the ductility reduction factor (R M ). A new design lateral force<br />

distribution based on nonlinear inelastic dynamic analysis results was used. In this proposed design<br />

method, the story drift is specified as a design parameter and, therefore, no explicit check for ultimate<br />

drift is required.<br />

<strong>The</strong> example 9-story frame was designed by the proposed design method. Nonlinear static and<br />

dynamic analyses of the frame were conducted to verify the proposed method. <strong>The</strong> results show that<br />

the proposed method can produce structures that meet preselected performance objectives in terms of<br />

yield mechanism and target drift.<br />

References<br />

Lee, Soon-Sik and Goel, S.C., U A New Lateral Force Distribution for Seismic Design of Steel<br />

Structure," Proceedings of U.S.-Japan Workshop on Seismic Fracture Issues in Steel<br />

Structures, San Francisco, CA, February 28-March 1, 2000.<br />

Leelataviwat, S. (1998), Drift and Yield Mechanism based Seismic Design and Upgrading of<br />

Steel Moment Frames, Ph.D. <strong>The</strong>sis, Department of Civ. & Env. Engrg., <strong>University</strong> of<br />

Michigan, Ann Arbor, MI, USA.<br />

Miranda, E. and Bertero, V.V. (1994), "Evaluation of Strength Reduction Factors for<br />

<strong>Earthquake</strong>-Resistant Design," <strong>Earthquake</strong> Spectra, Vol. 10, No. 2, 1994<br />

Newmark, N.M. and Hall, W.J. (1982), <strong>Earthquake</strong> Spectra and Design, <strong>Earthquake</strong> Engrg.<br />

Res. Inst, El Cerrito, CA.<br />

Rai, D.C., Goel, S.C., and Firmansjah, J. (1996), U SNAP-2DX: A General Purpose Computer<br />

Program for Nonlinear Structural Analysis," Report EERC 96-21, Dept. of Civ. & Env.<br />

Engrg., <strong>University</strong> of Michigan, Ann Arbor, ML<br />

Uang, C.-M. and Maarouf, A. (1994), "Deflection Amplification Factor for Seismic Design<br />

Provisions," J. Struc. Engrg., Vol. 120, No. 8,2423-2436, ASCE<br />

Uniform Building Code (UBC) (1997), Int. Conf. of Bldg. Officials, Whittier, Calif.

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