A cylindrical specimen of some metal alloy having an elastic modulus of 129 GPa and an original cross-sectional diameter of 4.4 mm will experience only elastic deformation when a tensile load of 1570 N is applied. Calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.48 mm.

Explanation:

The cross-sectional area of the specimen is calculated as follows.

                     =

                     =

Equation of stress is as follows.

And, the equation of strain is as follows.

Hence, the Hook's law is as follows.

              E =

       E =

          =

or,              

                   =

                  = 0.6554 m

or,         = 655.4 mm

Thus, we can conclude that the maximum length of the specimen before deformation if the maximum allowable elongation is 0.48 mm is 655.4 mm.