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Deformation under direct axial loading








      ◦ Deformation


                                                                                              1.     Deform Uniformly –
                                     L                                                               represent the axial strain


                                                                      undeformed                     every where in the bar.
                                   O .        . A
                                                                                                     the axial strain is the
                                                                                                     same at all point
                            x               Δx






                                     L +                                                  2.     Deform not Uniformly –
                                                                                                                 d
                                                                                                         Δ
                                                                                                              =
                                                                       deformed           ε = lim         Δx dx
                                     O .        . A                                           Δx→0


                                            Δx + Δ                                                elongation bar
                                                                                                           
                                                                                                                     
                                                                                                     =׬     = ׬ εdx
                                                                                                        0         0
      ◦ Compressive (shortening) carries a negative sign (example
         Є=-0.001)                                                                                                                  79
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