Page 318 - Advanced Design Examples of Seismic Retrofit of Structures
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Example of a Steel Frame Building Retrofitted Chapter  5 307



               TABLE 5.10 Lower-Bound Axial Capacity of Columns

                                                          F a        Q CL
                                                               2
                                     2
               Profile  r (cm)   A (cm )  λ        F.S.   (kg/cm )   (ton)
               2IPE140  5.74     32.8     65.33    1.84   1093.82    61.0
               (Story-1)
               2IPE140  5.74     32.8     58.36    1.82   1133.04    63.2
               (Story-2)
               2IPE160  6.57     40.2     57.07    1.81   1144.44    78.2
               (Story-1)
               2IPE160  6.57     40.2     50.98    1.80   1173.65    80.2
               (Story-2)
               2IPE160  6.57     100.2    57.07    1.81   1144.44    194.9
               +2PL
               (Story-1)



                           Q
                           Q y
                                             b
                                         a
                           1.0                 C
                                  B

                                                  D      E  c
                              A
                                                          q or D
             FIG. 5.10 Generalized force-deformation relation for steel elements or components [3].

             where:
                L ¼laterally unbraced length of the member;
                r ¼governing radius of gyration; and
                K ¼effective length factor.
                The lower-bound axial capacity of columns is presented in Table 5.10.



             5.6.2 Nonlinear Static Procedure
             The complete load-deformation relationship of each component as depicted in
             Fig. 5.10 shall be determined based on plastification by nonlinear moment-
             curvature and interaction relationships for beams and beam-columns derived
             from experiment or analysis. The values for expected strength, Q CE , shall be
             the same as those used for linear procedures as specified in Section 5.7.1.
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