Page 105 - 4167
P. 105

11. What's torsion  deformation?






                                                    8.10 Problems

                               A load of 500 kg, hanging from a steel wire of length 3 m and
                                              2
                  cross  section  ,0     2cm increased  the  length  of  the  wire  in    ,0              4 cm
                  compared with non- loaded  length . What were the stress, the strain,
                  and the value of Young's modulus  for the steel of which  that wire

                  was composed?
                     Solution
                  1.Stress
                                                                      m
                                                    ( 500 kg ()   8 , 9  )
                                              F                       s  2              8
                                                                            , 2  45 10  Pa           (8.11)
                                              S         2  10  5 m 2
                  2.Strain

                                                    l      , 0  004m
                                                                     , 0  00133                          (8.12)
                                                    l 0      3m
                  3.Young's modulus

                                                              8
                                                    , 2  45 10  Pa            11
                                            E                        , 1 84 10  Pa                     (8.13)
                                                       , 0  0013






















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