Page 77 - Fundamental of Engineering Design
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Modulus of elasticity (E)





         E is the tendency of an object to deform along an axis when opposing forces
         are applied along that axis; it is defined as the ratio of tensile stress to tensile
         strain. Elastic materials always spring back into shape when released.

                                                                 E  =         σ

                                                                              ε




         If P is the total tensile load in a bar, A its cross- sectional area, and L its length
                                                                                                                       0
         , then





                                                         E  =         σ     =      /  

                                                                      ε            /  
                                                                                       0


         Where e is the extension of the length L . Thus, the expansion is given by
                                                                         0
                                                               e  =              0


                                                                                 
         P= total tensile load

         A= cross-sectional Area                                                                                                    77

         L = Length
           0
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