Page 136 - Handbook of Structural Steel Connection Design and Details
P. 136

Design of Connections for Axial, Moment, and Shear Forces

                           Design of Connections for Axial, Moment, and Shear Forces  121

                         a. Outer plate:
                                                                      1
                           (1) Gross and net area: Since the bolt gage is 7 / in, try a plate
                                                                       2
                                  1
                               10  / in wide. The gross area in tension required is
                                   2
                                                311>2
                                         A 5            5 4.8 in 2
                                           gt
                                               0.9 3 36
                           and the thickness required is 4.8/10.5   0.46 in. Try a plate
                           1 /   10 /
                                  1
                             2      2
                                      A   0.5   10.5   5.25 in 2
                                       gt
                                      A    (10.5   2   1)   0.5   4.25 in 2
                                       nt
                                  0.85 A   0.85   5.25   4.46 in 2
                                       gt
                                                              2
                           Since 0.85 A   A , use A   4.25 in as the effective net ten-
                                       gt   nt      nt
                           sion area.
                              R   0.75   58   4.25   185 kips > 311/2   156 kips, ok
                                nt
                                      1
                                             1
                           Use a plate  /   10 / for the outer flange splice plate for the fol-
                                       2      2
                           lowing limit state checks:
                           (2) Block shear fracture:
                                A   7.5   0.5   2   7.5 in 2
                                 gv
                                A   1.5   0.5   2   1.5 in 2
                                 gt
                                A    (7.5   2.5   1)0.5   2   5.0 in 2
                                 nv
                                A   (1.5   .5   1)0.5   2   1.0 in 2
                                 nt
                              F A   58   1.0   58.0 kips
                               u  nt
                           0.6F A   0.6   36   7.5   162 kips
                               y  gy
                           0.6F A    0.6   58   5.0   174 kips
                               u  nv
                               R   0.75[58   min{162, 174}]   165 kips > 156 kips, ok
                                 bs
                           (3) Bearing:
                           R   0.75   2.4   58   0.50   .875   6   274 kips > 156 kips, ok
                             p
                                         1
                                               1
                           Thus, the plate  /   10 / (A36) outer splice plate is ok, but bearing/
                                          2     2
                           tearout still needs to be checked.
                         b. Inner plates:
                           (1) Gross and net area: The load to each plate is 156/2   78 kips.
                               The gross area in tension required is

                                                 78
                                         A gt 5        5 2.41 in 2
                                              0.9 3 36



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