Page 487 - Design of Reinforced Masonry Structures
P. 487

SHEAR WALLS                       7.49

             (F  = 1.35 found by interpolation for S  = 0.4 and 0.5 from Table 7.3)
                                         1
               v
                                      2
                                        061 =
                                  S  = (.  )  041
                                              .
                                   D1
                                      3
             2.  Calculate fundamental period T. Use approximate period, T , for T.
                                                          a
                                     T  = C  (h ) x
                                           n
                                         t
                                     a
               C  = 0.02 (all other structural systems)      h  = 60 ft      x = 0.75
                                                 n
                 t
                                T  = 0.02 (60) 0.75  = 0.43 s
                                 a
             3.  Calculate the seismic response coefficient, C .
                                                s
             For a building frame system with special reinforced masonry shear walls, R = 5.5
           (Table 7.5)
                                          .
                                C =  S  DS  =  060  = 011
                                                .
                                   ⎛  R ⎞  ⎛ 55 .  ⎞
                                 s
                                   ⎝  I ⎠  ⎝ 10 .  ⎠
             C  need not exceed
              s
                                                         ≤
                      C    =  S D1  =  . 041  =  . 017  f for TT
                                         . ⎞
                        s,max  ⎛  R ⎞   ⎛ 55               L
                                      3
                            T      (. )
                                    04
                                         . ⎠
                              ⎝  I ⎠    ⎝ 10
                      T L, min  = 4 s (ASCE 7-05 Fig. 22.15)
             In this example T = 0.43 s < T L, min  = 4 s. Therefore, C s, max  = 0.17 [Eq. (7.52) does
           not apply because T < T . C  shall not be less than
                            L
                               s
                               C  = 0.044S  ≥ 0.01
                                        DS
                                 s
                           0.44S  = 0.044(0.6) = 0.0264 > 0.01
                                DS
             Therefore,      C S, min  = 0.0264
             For the given structure, S  = 0.45g < 0.60g; therefore Eq. (7.54) does not apply.
                               1
             Therefore,  C  = 0.11 governs

                         s
                         V = C W = 0.11W
                             s
                        W = 400 + 450 + 500 + 600 + 650 = 2600 kips
                         V = 0.11W = 0.11(2600) = 286 kips
                        F  = C V
                         x
                             vx
                             wh  k
                       C  =   n  xx
                         vx
                            ∑  wh k
                                ii
                            i=1
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