Page 242 - Improving Machinery Reliability
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Machinery Reliability Audits and Reviews   213

                    Alternating torsional stress z,  = (0.2) (9,680) = 1,940 psi




                       MF = (173,250) (0.3) = 52,000 lb-in.
                       MT = (173,250) (sin 0.057) = 173 lb-in.

                     Mtotal = -,/(25,025)2 + (52,000 + 173)’

                     Mtota! = 57,864 lb-in.
                            (57,864) (2.25) 64
                       0, =                = 6,472 psi
                               (n:) (4.514

                             (173,250) (0.03)
                       0, =                 = 770 psi
                            (4.5) n: (2.25)2 0.94
                                                  1
                        n=
                                                         1,940   9,680
                                  52,500  80,000         52,500  80,000
                              1.95 6,472 + 770)2 + 3 (2.9  ~
                          = 2.14
                    The shaft factor of safety, while certainly adequate for operation at 17,600 hp with
                   gear-type couplings, was thus shown to be only 2.14 in the original design case with
                   conventional  gear couplings.  Equipping  the  same shaft  with  contoured  diaphragm
                   couplings made operation at  19,600 hp not only possible, but actually increased the
                   factor of safety to 2.25.46


                        Reliable Shaft-Hub Connections for Turbomachinery Couplings

                     Coupling hubs for turbocompressors  must  fit very  tightly on compressor  shafts.
                   Not only does the interference fit have to be high enough to prevent slipping at maxi-
                   mum  applied  torque,  but potentially  serious  weakening  of  shafts  due to  fretting
                   action must also be avoided. The term “fretting” describes component damage that
                   occurs at the interface between contacting, highly loaded metal surfaces when sub-
                   jected to extremely small relative (or vibratory) motion. On the other hand, the cou-
                   pling hub must  be designed  for easy removal  in case rapid  access  to compressor-
                   shaft seals should become necessary.
                     Satisfying both of these requirements does not generally present any serious prob-
                   lems for equipment  shafts up  to approximately  three  inches  nominal  diameter.  It
                   does, however, require  progressively  more  attention and  design sophistication  as
                   shaft sizes reach eight or more inches on cracked gas and propylene compressors in
                   modern ethylene plants.
                     Keyless coupling-hub  engagement is a logical choice for many  of  these applica-
                   tions.  Hubs  up to about three inches  nominal bore  can be effectively  mounted  by
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