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Abstract The behaviour of steel frames with semirigid connections under earthquake excitation is investigated. A general review of previous research concerning the subject of semirigid connections is presented. The available moment-rotation relationship of various beam-to-column connections is presented. A bilinear idealization of the available experimental moment-rotation curves for five types of connections commonly used in practice is performed. It 1s concluded that the rotational stiffness and yield moment at a particular connection vary significantly by changing the details of that connection. Therefore, it is recommended for the analysis of frames with a particular connection to determine the parameters of its bilinear model from an ~xperimental moment-rotation curve of an identical connection in a data bank, from the available analytical expressions predicting the moment-rotation relationship for that connection, or from the results of a full-scale test for this connection. However, the approach used in this research is based on obtaining the range of the parameters of the bilinear model for each connection related to the yield moment of the attached beam, and assigning appropriate values for the parameters of each type of connections. Moreover, the influence of the rotational stiffness of semirigid connections on the fixed end moments, and the flexural stiffness coefficients of a beam element are derived. A general review of seismology and structural dynamics is presented, and the methods of determining the response of multi-degrees of freedom systems to earthquake ground ii motions are mentioned, from which the quasi-static lateral forces approach and the time-history analysis are reviewed. A discussion of earthquake-resistant steel structures is presented, and a procedure for the analysis of steel frames in seismic regions of Egypt is proposed. The general stiffness matrix of an inelastic plane-frame element with semirigid connections of nonlinear rotational stiffness is derived, including second-order effects. Conversion of the DRAIH-2D program to the microcomputer version is presented, and the program features are summarized. A variety of unbraced bases either hinged or fixed, connections are analyzed and braced frames of column with different semirigid under various earthquake excitations and quasi-static lateral forces, considering the second-order P-6 effect and the nonlinear behaviour of the rotational stiffness of semirigid connections, in order to investigate their seismic behaviour. It is concluded that x-braced frames with either fixed or hinged column bases using any connection have the best behaviour under seismic excitations where the bracing members are stiff enough to control the drift, and the bending moments in columns, beams and connections are slightly higher than their static moments and hence, leading to a very economic design. The same behaviour is observed fork-braced frames, but with higher axial forces in bracing members. For all braced frames, no yielding occurs in members or connections and no inelastic buckling takes place in bracing members under the chosen earthquakes. The unbraced frames with fixed column bases have a moderate behaviour under seismic excitations using any connection, where acceptable drifts are developed, but the bending moments in columns are much higher than their static moments or than those of braced frames, and yielding occurs in frames with connections of low and intermediate rotational stiffness. A poor behaviour under iii seismic excitat1ons is observed for unbraced frames with h1nged column bases using connections of high and intermediate rotational stiffness, where unacceptable drifts are developed, and yielding occurs in frames with connections of intermediate rotat]onal stiffness, while instability may occur using connections of low rotational stiffness. For all unbraced frames, a better behaviour under seismic excitations 1s obtained by increasing the initial rotational st]ftness of connections. Moreover, other analyses investigating the effect of the nonl1near behaviour of the rotational stiffness of semir]girl connections on the seismic behaviour of yielded frames. and the effect of the second-order P-5 force on the seismic behaviour of unbraced frames are also performed. It is concluded that the nonlinear behaviour of the rotational stiffness of semirigid connections slightly changes the responses (horizontal displacements, total base shear and bending moments in various sections) of unbraced frames with fixed column bases using connections of low and intermediate rotational stiffness over those of the linear behaviour, and significantly changes the responses of unbraced frames with hinged colt~n bases using connections of Jntermediate rotational stiffness, while it may lead to failure using connections of low rotational stiffness. The same conclusions are observed for the effect of P-6 force. Finally, another analysis invest]gating the effect of damptng on the seismic behaviour of all frames is also performed, from which it is concluded that for unbraced frames damping significantly decreases the drift, the total base shear, and the bending moments in columns, but slightly decreases the bending moments in beams and connections, while for braced frames damping significantly decreases the total base shear and the axial forces in brac1nq members and slightly decreases other responses. iv |