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Document Title
                Fundamentals of Stress and Vibration                                  Chapter Title
                [A Practical guide for aspiring Designers / Analysts]              2. Engineering Mechanics


                                                           mW  2
                From           .     &   .      , we have:  I element  =      - - - - (2.43)
                                                            12

                The total MMOI about the ‘x-axis’ is given by the sum of equations (2.42) and (2.43):


                I yy  =   Rotation of all elements about the  y − axis

                              + Rotation of all elements about their own axis

                       mL 2  mW  2
                 I  =      +
                 yy
                       12      12

                And, the MMOI about the ‘z-axis’ is as shown:




















                              [Fig 2.50: inertia of element about the 'z-axis' through the CG]


                                                   mH  2
                From           .     , we have:  I zz,elem  =      - - - - (2.44)
                                                    12













                   [Fig 2.51: inertia of element about its own axis]   [Fig 2.52: MMOI contribution of elements across
                                                                               the height (H)]






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