Page 110 - Handbook of Structural Steel Connection Design and Details
P. 110

Design of Connections for Axial, Moment, and Shear Forces

                            Design of Connections for Axial, Moment, and Shear Forces  95

                    see Sec. 2.2.1.2. Normally, the gusset is squared off as shown in Fig. 2.23,
                    which gives 16 rows of bolts in the gusset-to-truss vertical connection.
                    The gusset-to-top chord connection is pretty well constrained by geom-
                                                          1
                    etry to be about 70 in long plus about 13 / in for the cutout. Starting
                                                           2
                    from the configuration of Fig. 2.23, the UFM forces are calculated from
                    the formulas of Fig. 2.20 and the design is checked. It will be found that
                    Fig. 2.23 is a satisfactory design via the UFM, even though it fails via
                    the KISS method forces of Fig. 2.21. Although the gusset-to-top chord
                    connection cannot be reduced in length because of geometry, the gusset-
                    to-truss vertical is subject to no such constraint. Therefore, the number
                    of rows of bolts in the gusset-to-truss vertical is sequentially reduced
                    until failure occurs. The last-achieved successful design is the final
                    design as shown in Fig. 2.24.
                      The calculations for Fig. 2.24 and the intermediate designs and the
                    initial design of Fig. 2.23 are performed in the following manner. The
                    given data for all cases are:

                                               P   920 kips
                                              e   7 in
                                               B
                                               e   7 in
                                               c
                                                  17.7
                                               
  36.7

                    The relationship between   and   is
                            (0.9527   0.7454   0.3040)   7(0.7454   0.3191)   7/0.9527
                           0.4061    4.363
                    This relationship must be satisfied for these to be no couples on the
                    gusset edges. For the configuration of Fig. 2.24 with seven rows of bolts
                    in the gusset-to-truss vertical connection (which is considered the gusset-

                    to-beam connection of Fig. 2.20)    18.0 in. Then,
                                            18 1 4.363
                                                         55.07 in
                                              0.4061
                    From Fig. 2.24, the centroid of the gusset to top chord (which is the gusset-


                    to-column connection of Fig. 2.20) is      13.5   70/2   48.5 in. Since
                       , there will be a couple on this edge unless the gusset geometry is

                    adjusted to make       55.07. In this case, we will leave the gusset geom-
                    etry unchanged and work with the couple on gusset-to-top chord interface.


                      Rather than choosing     18.0 in, we could have chosen     48.5 and

                    solved for    . In this case, a couple will be required on the gusset-to

                    truss vertical interface unless gusset geometry is changed to make     .
                 Downloaded from Digital Engineering Library @ McGraw-Hill (www.accessengineeringlibrary.com)
                             Copyright © 2009 The McGraw-Hill Companies. All rights reserved.
                              Any use is subject to the Terms of Use as given at the website.
   105   106   107   108   109   110   111   112   113   114   115