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Partially Restrained Connections

                                                      Partially Restrained Connections  279

                    achieving certain percentage of the fixed-end moment or reaching a
                    deflection limit seem more reasonable (Leon, 1994).

                    4.2.2 Connection strength
                    A connection can also be classified in terms of strength as either a
                    full-strength (FS) connection or a partial-strength (PS) connection. An
                    FS connection develops the full plastic moment capacity M of the
                                                                              P
                    beam framing into it, while a PS connection can only develop a por-
                    tion of it. For classifying connections according to strength, it is com-
                    mon to nondimensionalize the vertical axis of the M-  curve by the
                    beam plastic moment capacity (M        ) as is shown in Fig. 4.3.
                                                       p,beam
                    Connections not capable of transmitting at least 0.2 M at a rotation
                                                                        p
                    of 0.02 rad are considered to have no flexural strength. Because many
                    PR connections do not exhibit a plateau in their strength even at
                    large rotations, an arbitrary rotation value must be established to
                    compare connection strength (M    ) to the capacity of the beam. For
                                                  p,conn
                    this purpose a rotation of 0.02 rad is recommended by the author.

                    4.2.3 Connection ductility
                    Connection ductility is a key parameter either when the deformations
                    are concentrated in the connection elements, as is the typical case in
                    PR connections, or when large rotations are expected in the areas
                    adjacent to the connections, as in the case of ductile moment frames
                    with welded connections. The ductility required will depend on the
                    flexibility of the connections and the particular application (that is,
                    braced frame in a nonseismic area versus an unbraced frame in a
                    high-seismic area).
                      A connection can be classified as ductile based on both its absolute
                    and its relative rotation capacity (Fig. 4.4). The horizontal axes in Fig.
                    4.4 show both total connection rotations and connection ductilities.
                    Three connection curves are shown: (a) two of the curvs are for con-
                    nections in special moment frames (SMFs), one with hardening or
                    non-degrading behavior (ND) and one with moderate degradation (D),
                    and (b) one of the curves is for a degrading connections in an interme-
                    diate moment frame (IMF). The total rotation (in terms of milliradi-
                    ans or radians  10 ) is how typical moment-rotation curves for con-
                                       3
                    nection tests are reported. In general, only the envelopes of the cyclic
                    results are shown, and a very coarse relative limit between ductile
                    and nonductile connections can be set a total rotation of 0.04 rad.
                      The relative ductility index (    /  ) can be used for comparing
                                                       u  y
                    the rotation capacity of connections with similar moment-rotation
                    characteristics. In order to compute a relative ductility ( ), a yield
                    rotation (  ) must be defined. For PR connections, such as the one
                              y



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