Page 50 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 50

TABLE OF SPRING STIFFNESS (continued)

                                                      El

                                                   k  =       I — moment of inertia of cross-sectional area
                                                      /  ’
                                                              / =  total length
                                                      EA
                                                   k  =      A  =  cross-sectional area
                                                      I
                                                      GJ
                                                   k  =      J  =  torsion constant of cross section


                                                      Gd*
                                              2 R    k  =    n  =  number of turns
                                                      (AnR^

                                                      7>EI
                                                   k  =      k at position of load


                                                      48 £ /
                                                   k  =


                                                      192£/
                                                  k  =


                                                     768 £ /
                                                  k  =
                                                      I P
                                                     3 Ell    y  = fÈLnl _ ^2 _ 1,2)
                                                  k  =
                                                      iV          6Eir       ^

                                     I—H 6

                                                      \2EI
                                                  k  =




                                                       3 El
                                                   k  =
                                                      (/  -I-  a)a^

                                                        24£7
                                                   k  =
                                    i -----           ¿7^(3/  -I-  8a)

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