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                                                           CONNECTIONS


                                                                                         CONNECTIONS  3.101






































                                         FIGURE 3.56  Nonconcentric uniform force method. (Source:  A. R.  Tamboli,
                                         Handbook of Structural Steel Connection Design and Details, McGraw-Hill, 1999,
                                         with permission.)




                                  and must satisfy the constraint shown in the box in Fig. 3.55. This can always be arranged when
                                  designing a connection, but in checking a given connection designed by some other method, the
                                  constraint may not be satisfied. The result is gusset-edge couples that must be considered in the design.
                                  In Fig. 3.55, the angle, γ, is positive as shown. If the angle between the column and the beam is greater
                                  than 90°, γ is negative.

                                  Connections with Nonconcentric Workpoints.  The uniform force method can be easily general-
                                  ized to this case as shown in Fig. 3.56, where x and y locate the specified nonconcentric workpoint
                                  (WP) from the intersection of the beam and column flanges. All of the forces on the connection inter-
                                  faces are the same as for the concentric uniform force method, except that there is an extra moment
                                  on the gusset plate M = Pe, which can be applied to the stiffer gusset edge. It should be noted that
                                  this nonconcentric force distribution is consistent with the findings of Richard (1986), who found
                                  very little effect on the force distribution in the connection when the work point is moved from con-
                                  centric to nonconcentric locations. It should also be noted that a nonconcentric work-point location
                                  induces a moment in the structure of M = Pe, and this may need to be considered in the design of the
                                  frame members. In the case of Fig. 3.56, since the moment M = Pe is assumed to act on the gusset-
                                  to-beam interface, it also must be assumed to act on the beam outside of the connection, as shown.
                                  In the case of a connection to a column web, this will be the actual distribution (Gross, 1990), unless
                                  the connection to the column mobilizes the flanges by means of stiffeners.



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