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Partially Restrained Connections

                                                      Partially Restrained Connections  281

                      Both the absolute and relative rotation capacities need to take into
                    account any strength degradation that may occur as a result of local
                    buckling or slip, particularly under cyclic loads. The behavior of the
                    connections shown by the solid (SMF ND), dashed (SMF D), and dot-
                    ted (IMF D) lines in Fig. 4.4 can lead to significant differences in
                    frame behavior, especially with respect to strength and stability.
                    Finally, it should be emphasized that the limits discussed above, with
                    the exception of the interstory drift and 0.8M  ones appearing in
                                                               p, beam
                    ASIC 360 (2005), are based purely on the opinions of the author.
                      Limits for ductility criteria, such as those described previously, are
                    only now being developed, but this issue is highlighted here to remind
                    designers that analysis assumptions (unlimited rotational ductility, in
                    general) must be consistent with the detailing of the connection. This
                    is true for both PR and FR frames.

                    4.2.4 Derivation of M-  curves

                    As noted earlier, M-  curves have typically been derived from exper-
                    iments. Many of these tests have been collected into databases (Ang
                    and Morris 1984, Goverdhan, 1984, Nethercot, 1985, Kishi and
                    Chen, 1986, Chan and Chiu, 2000, for example). Based on these
                    databases, equations for the complete M-  curves for different types
                    of connections have been proposed. However, numerous important
                    variables, such as the actual yield strength of the materials and the
                    torque in the bolts, are generally poorly documented or missing for
                    many of these tests. Thus many of the M-  curves and equations
                    available from these databases cannot be considered as reliable. In
                    addition, care should be exercised when utilizing tabulated moment-
                    rotation curves not to extrapolate to sizes or conditions beyond those
                    used to develop the database since other failure modes may control
                    (ASCE, 1997).
                      Two approaches have recently become practical alternatives and/or
                    complements to experimental testing in developing M-  curves. The
                    first alternative is a detailed, nonlinear finite-element analysis of the
                    connection. While time-consuming because of the extensive paramet-
                    ric studies required to derive reliable M-  curves, this approach has
                    gone from a pure research tool to an advanced design office tool in
                    just a few years thanks to the tremendous gains in computational
                    power available in new desktop workstations.
                      The other approach is the one proposed by the Eurocodes and com-
                    monly labeled the “component approach.” In this case each deforma-
                    tion mechanism in a joint is identified and individually quantified
                    through a series of small component tests. These tests are carefully
                    designed to measure one deformation component at the time. Each of
                    these components is then represented by a spring with either linear or




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