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Machinery Reliability Audits and Reviews   209





                            LE
                             A



                                                       CONTACT POINT


                         Figure 3-86. Shift in contact point experienced by gear-type coupling.


                   and a misalignment angle ~1 = 0.057'  (approximately 0.001  inhn parallel offset), we
                   calculate





                       M,  = (193,000) (0.3) = 57,900 lb - in

                       M, = (193,000) (sin 0.057) = 193 lb - in


                     MT,,,~! = J(27,878)2  + (57,900 + 193)* = 64,435 lb - in

                   This moment is fixed relative to the actual angular misalignment a, and is seen by
                   the shaft as a rotating bending moment at a once-per-revolution frequency.
                     The contoured diaphragm coupling causes two bending moments:

                    Moment caused by angular misalignment which results in bending the diaphragm



                    In this expression, kB equals the  angular spring rate of  the diaphragm  (lb-
                    iddegree); a is the misalignment angle. This moment acts in the plane of angular
                    misalignment, as did M, in the gear-coupling analysis.
                    Moment caused by  turning  torque through  a misalignment angle a. It  can be
                    expressed as

                      MT  = T sin a
                    The total moment is now
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