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Brockenbrough_Ch03.qxd  9/29/05  5:05 PM  Page 3.95



                                                           CONNECTIONS


                                                                                          CONNECTIONS  3.95

                                           .
                                  where b =  55 −129  = 211.  in
                                             .
                                            2
                                       a =  16 1 .  2 −5 5  = 53 1
                                              .
                                                  . in
                                       p = 3  in
                                       n = 7
                                  Thus,
                                                                 π
                                                              3
                                                                     .
                                                                            .
                                                                        2
                                                       p  =  6  ×+ × 211 + × 531  = 503  in
                                                                                 .
                                                        eff
                                                                    7
                                  Using p eff in place of p, and following the AISC procedure,
                                           b =  b = 211 in
                                                 .
                                          b′ = 211 −  10 .  = 161.  in
                                              .
                                                   2
                                                   ++ 0 47 5 5 .
                                                 44   .  −               
                                                                        .
                                                               531 125
                                                                                              .
                                                                                148 531 263)
                                           a = min            ,. , .  × 211  = min( . , . , .  = 149 in
                                                      2                  
                                              .
                                                 + .
                                          a′ = 149 05 199 in
                                                     = .
                                              b′
                                           ρ  =  = 081
                                                  .
                                              a′
                                                 .
                                           δ  =−  106  = 079
                                                      .
                                             1
                                                503
                                                 .
                                    Note that standard holes are used in the column flange.
                                                                       .
                                                             .
                                                        t =  444  × 291 .  ×161  = 0 798 in
                                                                            .
                                                        c
                                                               503 × 65
                                                                .
                                                                      .
                                                       α ′ =   1      0 798  2  −  1   =−0 595
                                                                                  .
                                                            .
                                                           079 ×181   207    
                                                                 .
                                                                      .
                                    Since α′ < 0, use α′ = 0.
                                                      T d = 29.1 kips/bolt > 15.7 kips/bolt  OK
                                    When α′ < 1, the bolts, not the flange, control the strength of the connection.
                      3.7.4 Vertical Brace Connections Using Extended Single Plate
                                  It often makes sense when designing the lateral force resisting system for a building to design a
                                  moment frame along the strong axis of the columns and a braced frame along the weak one. This can
                                  lead to a situation in which stiffeners are required in the column webs due to the moment connections,
                                  and the weak-axis beam and bracing connections need to be kept clear of the column flanges for erec-
                                  tion. In such cases the connections to the columns are often made using extended single-plate con-
                                  nections. The uniform force method is particularly well suited to analyzing this type of connection.
                                    By moving e c from the center of the column to the center of the bolt group in the single-plate con-
                                  nections, the eccentricity which would normally have to be considered in the bolt group can now be
                                  taken as a couple, H c , producing a more efficient connection. See Figs. 3.53 and 3.54. The uniform
                                  force method equations can now be applied to the connection, with the forces normally associated
                                  with the column now associated with the single-plate connection. As long as the forces derived from
                                  the uniform force method are used without the introduction of ∆V b or a change in α or β, no moments
                                  will need to be considered in any of the connection interfaces or within the plates. However, the
                                  single-plate connector must now be checked to transfer H c as a horizontal shear. If α or β is varied,
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