Page 78 - Pressure Vessel Design Manual
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General Design   59

                                                 PROCEDURE 2-10

               BOLT TORQUE REQUIRED FOR SEALING FLANGES [ 10-131


                                                                PT =test  pressure,  psi
                             Notation                            F = restoring  force  of  gasket  (decreasing  compression
                                                                    force) from initial bolting strain, lb
          Ah = cross-sectional area of bolts,                  Fho = initial tightening force, Ib
           A,  = actual joint-contact area of  gasket, in.2     & = effective length  of bolt, mid nut to mid nut, in.
           b = effective gasket seating width, in.              W = total tightening  force, lb
           d = root diameter of threads,  in.                 W,1=  H + H,  = required bolt load, operating, lb
          d,,  =pitch  diameter of  threads, in.              W,z  = required bolt load, gasket seating, lb
           G = diameter  at location of  gasket load reaction, in.   y = gasket unit  seating load, psi
           M = external bending moment, in.-lb                   H =total  hydrostatic end force, lb
           m = gasket factor                                    HP = total joint-contact  surface compression  load, lb
           N =gasket  width, in.                                 T =initial  tightening  torque required,  ft-lb
           n = number of bolts                                   t,  =thickness  of  gasket, in.
          El, = modulus of  elasticity of bolting material at tempera-   t,  =thickness  of  nut, in.
               ture, psi                                         K =total  friction factor between bolthut and nut/ flange
          E,  = modulus  of  elasticity of  gasket material  at tempera-   face
               ture, psi                                         w =width  of  ring joint  gasket, in.
           P = internal pressure, psi
           P,  = equivalent pressure  including external loads, psi   Note: See Procedure  2-7 for values of G, N, m, b, and y.
           P, = radial load, lb




                                YAPL
             W                                             e-                                            I
                          1L                        x$$




                                  Tongue  and groove
                                                        k4.J                                       Raised face


                                                        Ring joint
                                               Figure 2-23. Flange and joint details.





         Size           %,   in.   '/8  in.    1 in.      1% in.      1% in.     1% in.      1% in.     1% in.
         d              0.6273     0.7387      0.8466     0.9716      1.0966     1.2216      1.3466     1.4716
         dm             0.6850     0.8028      0.9188     1.0438      1.1688     1.2938      1.4188     1.5438
         t"             0.7344     0.8594      0.9844     1.1094      1.2188     1.3438      1.4688     1.5938
         Size           1% in.     1% in.      2 in.      2%  in.     2%  in.    2%  in.     3 in.      3Y4 in.
         d              1.5966     1.7216      1.8466     2.0966      2.3466     2.5966      2.8466     3.0966
         dm             1.6688     1.7938      1.9188     2.1688      2.4188     2.6688      2.9188     3.1688
         t"             1.71 88    1.8438      1.9688     2.2031      2.4531     2.7031      2.9531     3.1875
                                                            ~~~
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