Page 158 - Pressure Vessel Design Manual
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136    Pressure Vessel Design Manual

                where g = 386 in./sec2                          *    ~~       Case 1    ~           Case 2
                                                                                ~
           6. Design of 1eg.Y.                                  m             At Posts           Between Posts
                                                                F
                                                                -I
              e  Force ut top of  vessel, Ft (UBC design only).        Horiz. 01,)   Vert. (F,)   Horiz. (V,)   Vert. (F,)
                                                                    1   0.01 12v   FD + FL    0.0209V   FD + 0.9659F~
                Ft = 0.07TV   or    0.25V                           2   0.0472V   FD  + 0.866F~   0.0834V   FD +0.7071 FL
                whichever is less or                                3   0.1194V   FD  + 0.5F~   0.1 458V   FD  + 0.2588F~
                                                                    4   0.1 555v   FD         0.1458V   FD  - 0.2588F~
                Ft = 0  if  T < 0.7sec                              5   0.1194V   FD - 0.5F~   0.0834V   FD  - 0.7071 FL
                                                                    6   0.0472V   FD  - 0.866F~   0.0209V   FD  - 0.9659F~
              e  Vertical force, F,.                                7   0.01 12v   FD  - FL   0.0209V   FD  - 0.9659F~
                                                                    8   0.0472V   FD  - 0.866F~   0.0834V   FD - 0.7071 FL
                UBC design: F,  = W                                 9   0.1194V   FD  - 0.5F~   0.1 458V   FD  - 0.2588F~
                with vertical seismic factor:                       10   0.1 555v   FD        0.1458V   FD  - 0.2588F~
                                                                    11   0.1 194V   FD  + 0.5F~   0.0834V   FD  - 0.7071 FL
                F,  = UP = (C,  - l)W                               12   0.0472V   FD  + 0.866F~   0.0209V   FD +0.9659F~
                                                                    -
                   = down = (1 + C,)W  = (-)                        1   0.0048V   FD  + FL    0.0091V   FD +0.9808F~
                                                                    2   0.021 7v   FD+ 0.9239F~   0.0404V   FD + 0.831 ~FL
              e  Overturning moment at base, M.                     3   0.0625V   FD+ 0.7071 FL   0.0846V   FD  + 0.5556F~
                                                                    4   0.1 034v   FD  + 0.3827FL   0.1 158V   FD + 0.1951 FL
                UBC design: M = L(Fh - F,) + HFt                    5   0.1 202v   FD         0.1 158V   FD  - 0.1951 FL
                Other: M = LFh                                      6   0.1 034V   FD - 0.3827F~  0.0846V   FD  - 0.5556F~
                                                                    7   0.0625V   FD  - 0.7071 FL   0.0404V   FD  - 0.831 ~FL
              e Axial stress, fa.                                   8   0.0217v   FD - 0.9239F~   0.0091V   FD  - 0.9808F~
                                                                    9   0.0048V   FD - FL     0.0091V   FD  - 0.9808F~
                                                                    10   0.0217V   FD - 0.9239F~  0.0404V   FD  - 0.831 ~FL
                                                                    11   0.0625V   FD - 0.7071 FL   0.0846V   FD  - 0.5556F~
                                                                    12   0.1034V   FD  - 0.3827F~  0.1158V   F~-o.1951F~
                                                                    13   0.1202v   FD         0.1 158V   FD +0.1951 FL
                                                                    14   0.1034V   FD  + 0.3827FL   0.0846V   FI,  + 0.5556F~
                              Table 3-12                            15   0.0625V   FD  + 0.7071 FL   0.0404V   FD  + 0.8315F~
                        Summary of Loads V,  and F,                 16   0.0217V   FD  + 0.9239F~  0.0091  v   FD + 0.9808F~
                                                                    -
                         Case 1                Case 2
                         At Posts           Between Posts
                                                                    e  Slenderness ratio for legs, SI.
                  Horiz. (V,)   Vert. (F,)   Horiz. 01,)   Vert. (F,)     Klh’
                                                                      s1 =-
               1   0.0833V   FD+ FL      0.125V   FD  + 0.866F~             r
               2   0.2083V   FO + 0.5F~   0.25V   FD
               3   0.2083V   FD  - 0.5F~   0.125V   FD - 0.866F~      KI = 0.5 to 1.0
               4   0.0833V   FD  - FL    0.125V   FD  - 0.866F~
               5   0.2083V   FD  - 0.5F~   0.25V   FD               e  Allowable compressive stress, Fa.
               6   0.2083V   FD  + 0.5F~   0.125V   FD  + 0.866F~
               1   0.0366V   FD  + FL    0.0625V   FD  + 0.9239F~     Fa = from AISC (see App. L)
               2   0.125V   FI,  + 0.707F~  0.1875V   FD  + 0.3827F~
               3   0.2134V   FD          0.1875V   FD  - 0.3827F~
               4   0.125V   FD  - 0.707F~   0.0625V   FD  - 0.9239F~
               5   0.0366V   FD  - FL    0.0625V   FD  - 0.9239F~
               6   0.125V   FD  - 0.707F~   0.1875V   FD  - 0.3827F~
               7   0.2134v   FO          0.1 875V   FD + 0.3827F~                   Table 3-13
               8   0.125V   FD + 0.707F~   0.0625V   FD  + 0.9239F~                Dimension, d,
               1   0.0191v   FD  + FL    0.0346V   FD + 0.951 1 FL
               2   0.0750V   FD + 0.809F~   0.125V   FD  + 0.5878F~      No. of Legs                dl
               3   0.1655V   FD  + 0.309F~   0.1809V   FD                3                         0.75d
               4   0.1655V   FD  - 0.309F~   0.125V   FD  - 0.5878F~     4                         0.705d
               5   0.0750V   FD  - 0.809F~  0.0346V   FD - 0.951 1 FL    6                         0.865d
               6   0.0191V   FD  - FL    0.0346V   FD  - 0.951 1 FL      a                         0.925d
               7   0.0750V   FD  - 0.809F~  0.125V   FD  - 0.5878F~      10                        0.95d
               8   0.1655V   FD  - 0.309F~  0.1809V   FD                 12                        0.9654
               9   0.1655V   FD  + 0.309F~  0.125V   FD  + 0.5878F~      16                        0.98d
              10   0.0750V   FD  + 0.809F~  0.0346V   FD + 0.951 1 FL
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