Page 349 - Cam Design Handbook
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THB11  9/19/03  7:33 PM  Page 337

                                    CAM SYSTEM MODELING                    337

            TABLE 11.1  Equivalent Linear and Rotary Spring Constants

             Linear system                                Spring constant (K = F/x)
            Cantilever Beam
                                     F
                                     x        b                      3
                                                               1   Ê ˆ h
                                                  h             Eb Á ˜
                                                               4   Ë ¯ L
                          L

             Simply Supported Beam
                    L / 2
                            F                  b
                            x                                        3
                                                                  Ê ˆ h
                                                    h          4Eb Á ˜
                                                                  Ë ¯ L
                          L
            Beam Clamped at Both Ends
                    L / 2   F

                                               b
                            x                                         3
                                                                   Ê ˆ h
                                                    h         16Eb Á ˜
                                                                   Ë ¯ L
                          L

            Rotary system                                Spring constant (K  = T/Dq)
                                                                     1
            Circular Bar in Torsion


                                                                 πGd 4
              T     d                       T                    32L


                             L

            Coil Spring in Torsion
                                                       d
                T                      T                           4
                                                                 Ed
                                                                64ND
                                                 D
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